Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
346 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 77 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. #13092381 | C2 | semidirect |
| 3. #13092150 | C2 | semidirect |
| 4. C4×C22⋊C4×C23 | C2 | semidirect |
| 7. C22×D92 | C4 | semidirect |
| 12. #10625101 | C4 | semidirect |
| 15. C2×C4⋊Dic23 | C4 | semidirect |
| 17. C23×#95 | C22 | semidirect |
| 19. C22⋊(C23⋊C8) | C22 | semidirect |
| 99. C4×C22⋊C4 | D23 | semidirect |
| 122. #95 | C2×D23 | semidirect |
| 123. C23 | #1507 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625101 | 2 |
| #13092381 | 2 |
| #13092150 | 2 |
| C4×C22⋊C4×C23 | 2 |
| #1507 | 23 |