Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13092465 | C2 | semidirect |
| 4. M16×Dic23 | C2 | semidirect |
| 5. #13092187 | C2 | semidirect |
| 6. #13092176 | C2 | semidirect |
| 18. #10625018 | C4 | semidirect |
| 19. #10625015 | C4 | semidirect |
| 118. C23 | #1932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092465 | 2 |
| C2×#10625019 | 2 |
| #13092401 | 2 |
| M16×Dic23 | 2 |
| #13092187 | 2 |
| #13092176 | 2 |
| C23×#421 | 2 |
| #1932 | 23 |