Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13092459 | C2 | semidirect |
| 5. #13092372 | C2 | semidirect |
| 6. #13092185 | C2 | semidirect |
| 7. C23×#341 | C2 | semidirect |
| 15. #10625005 | C4 | semidirect |
| 101. #341 | D23 | semidirect |
| 124. C23 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092459 | 2 |
| #13092423 | 2 |
| C2×#10625003 | 2 |
| C2×#10625005 | 2 |
| #13092372 | 2 |
| #13092185 | 2 |
| C23×#341 | 2 |
| #1931 | 23 |