Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
196 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 68 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 17. C13×#108 | C4 | semidirect |
| 18. #88062 | C4 | semidirect |
| 19. #88059 | C4 | semidirect |
| 80. #108 | #261 | semidirect |
| 111. C13 | #1951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719098 | 2 |
| C2×#88101 | 2 |
| #11719089 | 2 |
| D13×#108 | 2 |
| #11718271 | 2 |
| #1951 | 13 |