Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
118 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 40 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. #14543896 | C2 | semidirect |
| 2. #14543808 | C2 | semidirect |
| 14. C17×Q32 | C8 | semidirect |
| 16. C17×D16 | C8 | semidirect |
| 70. Q32 | #3624 | semidirect |
| 72. D16 | #3624 | semidirect |
| 80. C17 | #7389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543896 | 2 |
| #14543808 | 2 |
| #14530670 | 2 |
| #7389 | 17 |