Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
272 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 2. #13092474 | C2 | semidirect |
| 3. #13092150 | C2 | semidirect |
| 4. C23×#376 | C2 | semidirect |
| 11. #10625045 | C4 | semidirect |
| 13. C4×D92 | C4 | semidirect |
| 14. #10625040 | C4 | semidirect |
| 81. #376 | D23 | semidirect |
| 103. C23 | #1505 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092967 | 2 |
| #13092474 | 2 |
| #13092150 | 2 |
| C23×#376 | 2 |
| #1505 | 23 |