Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
696 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 696 conjugacy classes of subgroups — too many to draw. Only its 106 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×#11763768 | C2 | semidirect |
| 2. #14544511 | C2 | semidirect |
| 3. C2×#11763665 | C2 | semidirect |
| 4. #14543660 | C2 | semidirect |
| 60. #10587542 | D4 | semidirect |
| 196. C2×D17 | #329 | semidirect |
| 275. C17 | #9119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763768 | 2 |
| #14544511 | 2 |
| C2×#11763665 | 2 |
| #14543660 | 2 |
| #14537088 | 2 |
| #9119 | 17 |