Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13092283 | C2 | semidirect |
| 3. #13092152 | C2 | semidirect |
| 4. C23×#431 | C2 | semidirect |
| 11. #10625045 | C4 | semidirect |
| 13. C4×D92 | C4 | semidirect |
| 14. #10625040 | C4 | semidirect |
| 84. #431 | D23 | semidirect |
| 108. C23 | #1517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092967 | 2 |
| #13092283 | 2 |
| #13092152 | 2 |
| C23×#431 | 2 |
| #1517 | 23 |