Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #13092972 | C2 | semidirect |
| 3. #13092779 | C2 | semidirect |
| 4. #13092777 | C2 | semidirect |
| 5. #13092776 | C2 | semidirect |
| 6. #13092773 | C2 | semidirect |
| 7. #13092770 | C2 | semidirect |
| 8. #13092424 | C2 | semidirect |
| 10. #13092369 | C2 | semidirect |
| 11. C23×#489 | C2 | semidirect |
| 14. C23×C4⋊Q8 | C22 | semidirect |
| 23. #10625061 | C22 | semidirect |
| 31. #10625040 | C22 | semidirect |
| 32. C23×#103 | C22 | semidirect |
| 34. C23×#97 | C22 | semidirect |
| 35. #10625017 | C22 | semidirect |
| 38. #10624998 | C22 | semidirect |
| 39. C8×Dic23 | C22 | semidirect |
| 40. #10624992 | C22 | semidirect |
| 42. #10624985 | C22 | semidirect |
| 138. #489 | D23 | semidirect |
| 154. C4⋊Q8 | C2×D23 | semidirect |
| 173. #103 | C2×D23 | semidirect |
| 179. #97 | C2×D23 | semidirect |
| 181. C23 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092972 | 2 |
| #124×D23 | 2 |
| #13092779 | 2 |
| #13092777 | 2 |
| #13092776 | 2 |
| #13092773 | 2 |
| #13092770 | 2 |
| #13092424 | 2 |
| #13092420 | 2 |
| #13092369 | 2 |
| C23×#489 | 2 |
| #3140 | 23 |