Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
594 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 1. C2×#11763895 | C2 | semidirect |
| 2. #14545812 | C2 | semidirect |
| 3. #14545811 | C2 | semidirect |
| 19. C2×#41×C17 | C8 | semidirect |
| 22. C2×#63256 | C8 | semidirect |
| 25. C2×#63254 | C8 | semidirect |
| 29. C2×#63252 | C8 | semidirect |
| 59. C2×Q8×C17 | C2×C8 | semidirect |
| 61. C2×D4×C17 | C2×C8 | semidirect |
| 81. C2×D68 | C2×C8 | semidirect |
| 94. C2×Dic34 | C2×C8 | semidirect |
| 222. C2×#41 | #3633 | semidirect |
| 245. C17 | #11432 | semidirect |
| 258. C2×Q8 | C2×#3633 | semidirect |
| 269. C2×D4 | C2×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763895 | 2 |
| #14545812 | 2 |
| #14545811 | 2 |
| #14545259 | 2 |
| #11432 | 17 |