<< degree 13 | overview | degree 15 >>

Transitive Groups of degree 14

Jump to group T

Smallest Discs display

Transitive Groups of degree 14
G Name |G| |G| fact. |Z(G)| Properties of G # fields
14T1 C(14)=7[x]2 14
2 · 7
14 cyclic, semiabelian 117
14T2 D14(14)=[7]2 14
2 · 7
1 solvable, semiabelian 130
14T3 D(7)[x]2 28
22 · 7
2 solvable, semiabelian 204
14T4 2[1/2]F42(7) 42
2 · 3 · 7
1 solvable, semiabelian 79
14T5 F21(7)[x]2 42
2 · 3 · 7
2 solvable, semiabelian 96
14T6 [23]7 56
23 · 7
1 solvable, semiabelian, even 106
14T7 F42(7)[x]2 84
22 · 3 · 7
2 solvable, semiabelian 234
14T8 [72]2=7wr2 98
2 · 72
7 solvable, semiabelian 133
14T9 [24]7 112
24 · 7
2 solvable, semiabelian 235
14T10 L7(14) 168
23 · 3 · 7
1 not solvable, simple, irreducible, even 108
14T11 [23]F21(7) 168
23 · 3 · 7
1 solvable, semiabelian, even 130
14T12 1/2[D(7)2]2 196
22 · 72
1 solvable, semiabelian, even 93
14T13 [1/2.D(7)2]2 196
22 · 72
1 solvable, semiabelian 83
14T14 [72:3]2 294
2 · 3 · 72
1 solvable, semiabelian 87
14T15 [72:33]2 294
2 · 3 · 72
1 solvable, semiabelian 134
14T16 L7:2(14)=[L(7)%]2 336
24 · 3 · 7
1 not solvable, irreducible 39
14T17 2L7(14)=[2]L(7) 336
24 · 3 · 7
2 not solvable 272
14T18 [24]F21(7) 336
24 · 3 · 7
2 solvable, semiabelian 272
14T19 L(7)[x]2 336
24 · 3 · 7
2 not solvable 318
14T20 [D(7)2]2=D(7)wr2 392
23 · 72
1 solvable, semiabelian 140
14T21 [26]7 448
26 · 7
1 solvable, semiabelian, even 378
14T22 [1/6-.F42(7)2]22 588
22 · 3 · 72
1 solvable, semiabelian, even 3
14T23 [1/6+.F42(7)2]22 588
22 · 3 · 72
1 solvable, semiabelian, even 10
14T24 [72:6]2 588
22 · 3 · 72
1 solvable, semiabelian 42
14T25 [72:63]2 588
22 · 3 · 72
1 solvable, semiabelian 68
14T26 1/2[1/2.F42(7)2]2 882
2 · 32 · 72
1 solvable, semiabelian 63
14T27 27[1/2]D(7) 896
27 · 7
1 solvable, semiabelian 447
14T28 [26]D(7) 896
27 · 7
1 solvable, semiabelian, even 483
14T29 [27]7=2wr7 896
27 · 7
2 solvable, semiabelian 1050
14T30 L(14)=PSL(2,13) 1092
22 · 3 · 7 · 13
1 not solvable, primitive, simple, irreducible, even 7
14T31 [D(7)2:33]2 1176
23 · 3 · 72
1 solvable, semiabelian 12
14T32 [D(7)2:3]2 1176
23 · 3 · 72
1 solvable, semiabelian 87
14T33 23`L7(14) 1344
26 · 3 · 7
1 not solvable, irreducible, even 170
14T34 23:L7(14)=[23]L(7)=[23]L(3,2) 1344
26 · 3 · 7
1 not solvable, even 324
14T35 [26]F21(7) 1344
26 · 3 · 7
1 solvable, semiabelian, even 471
14T36 1/2[F42(7)2]2 1764
22 · 32 · 72
1 solvable, semiabelian, even 5
14T37 [1/2.F42(7)2]2 1764
22 · 32 · 72
1 solvable, semiabelian 32
14T38 [27]D(7)=2wrD(7) 1792
28 · 7
2 solvable, semiabelian 1064
14T39 L(14):2=PGL(2,13) 2184
23 · 3 · 7 · 13
1 not solvable, primitive, irreducible 23
14T40 1/2[27]F42(7) 2688
27 · 3 · 7
1 solvable, semiabelian 475
14T41 [26]F42(7) 2688
27 · 3 · 7
1 solvable, semiabelian, even 500
14T42 24`L7(14) 2688
27 · 3 · 7
2 not solvable 456
14T43 24:L7(14)=[24]L(7) 2688
27 · 3 · 7
2 not solvable 732
14T44 [27]F21(7)=2wrF21(7) 2688
27 · 3 · 7
2 solvable, semiabelian 850
14T45 [F42(7)2]2=F42(7)wr2 3528
23 · 32 · 72
1 solvable, semiabelian 83
14T46 2[1/2]S(7) 5040
24 · 32 · 5 · 7
1 not solvable, irreducible 124
14T47 2[x]A(7) 5040
24 · 32 · 5 · 7
2 not solvable 182
14T48 [27]F42(7)=2wrF42(7) 5376
28 · 3 · 7
2 solvable, semiabelian 1112
14T49 2[x]S(7) 10080
25 · 32 · 5 · 7
2 not solvable 454
14T50 [26]L(7) 10752
29 · 3 · 7
1 not solvable, even 806
14T51 [27]L(7)=2wrL(7) 21504
210 · 3 · 7
2 not solvable 1395
14T52 [L(7)2]2=L(7)wr2 56448
27 · 32 · 72
1 not solvable, irreducible 77
14T53 [26]A(7) 161280
29 · 32 · 5 · 7
1 not solvable, even 611
14T54 1/2[27]S(7) 322560
210 · 32 · 5 · 7
1 not solvable 948
14T55 [26]S(7) 322560
210 · 32 · 5 · 7
1 not solvable, even 1266
14T56 [27]A(7)=2wrA(7) 322560
210 · 32 · 5 · 7
2 not solvable 1355
14T57 [27]S(7) 645120
211 · 32 · 5 · 7
2 not solvable 2917
14T58 [A(7)2]2=A(7)wr2 12700800
27 · 34 · 52 · 72
1 not solvable, irreducible 56
14T59 1/2[S(7)2]2 25401600
28 · 34 · 52 · 72
1 not solvable, irreducible, even 21
14T60 [1/2.S(7)2]2 25401600
28 · 34 · 52 · 72
1 not solvable, irreducible 32
14T61 [S(7)2]2=S(7)wr2 50803200
29 · 34 · 52 · 72
1 not solvable, irreducible 482
14T62 A(14) 43589145600
210 · 35 · 52 · 72 · 11 · 13
1 not solvable, primitive, simple, irreducible, even 10
14T63 S(14) 87178291200
211 · 35 · 52 · 72 · 11 · 13
1 not solvable, primitive, irreducible 53

9   |   3,35 ms