Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
340 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 340 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 |
|---|---|---|
| 2. C22⋊C8×D23 | C2 | semidirect |
| 3. #13092276 | C2 | semidirect |
| 4. #13092152 | C2 | semidirect |
| 5. #13092151 | C2 | semidirect |
| 6. #13092150 | C2 | semidirect |
| 7. C23×#327 | C2 | semidirect |
| 9. C2×D4×D23 | C4 | semidirect |
| 13. #10625109 | C4 | semidirect |
| 18. #10625066 | C4 | semidirect |
| 19. C4⋊C4×D23 | C4 | semidirect |
| 22. C23×C22⋊C8 | C22 | semidirect |
| 23. C23×#95 | C22 | semidirect |
| 24. C23⋊#95 | C22 | semidirect |
| 25. C22⋊(C23⋊C8) | C22 | semidirect |
| 138. #327 | D23 | semidirect |
| 164. C22⋊C8 | C2×D23 | semidirect |
| 166. #95 | C2×D23 | semidirect |
| 167. C23 | #1519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #121×D23 | 2 |
| C22⋊C8×D23 | 2 |
| #13092276 | 2 |
| #13092152 | 2 |
| #13092151 | 2 |
| #13092150 | 2 |
| C23×#327 | 2 |
| #1519 | 23 |