Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
492 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #13092458 | C2 | semidirect |
| 4. #13092456 | C2 | semidirect |
| 5. #13092455 | C2 | semidirect |
| 6. #13092453 | C2 | semidirect |
| 7. C23×#427 | C2 | semidirect |
| 13. C2×#67262 | C4 | semidirect |
| 22. C23×#107 | C22 | semidirect |
| 23. C23×#106 | C22 | semidirect |
| 24. #10625000 | C22 | semidirect |
| 25. #10624999 | C22 | semidirect |
| 26. #10624990 | C22 | semidirect |
| 27. #10624989 | C22 | semidirect |
| 36. C2×C8×C23 | C2×C4 | semidirect |
| 48. C2×C23⋊C8 | C2×C4 | semidirect |
| 50. #67262 | C2×C4 | semidirect |
| 51. #67262 | C2×C4 | semidirect |
| 90. #427 | D23 | semidirect |
| 111. #107 | C2×D23 | semidirect |
| 114. #106 | C2×D23 | semidirect |
| 115. C23 | #2911 | semidirect |
| 128. C2×C8 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67262 | 2 |
| #117×D23 | 2 |
| #13092458 | 2 |
| #13092456 | 2 |
| #13092455 | 2 |
| #13092453 | 2 |
| C23×#427 | 2 |
| #2911 | 23 |