Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
262 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13092465 | C2 | semidirect |
| 5. #13092188 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C23×#423 | C2 | semidirect |
| 21. #10624987 | C4 | semidirect |
| 22. #10624987 | C4 | semidirect |
| 95. #423 | D23 | semidirect |
| 120. C23 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093183 | 2 |
| #13092465 | 2 |
| #13092433 | 2 |
| C2×#10624987 | 2 |
| #13092188 | 2 |
| #13092177 | 2 |
| C23×#423 | 2 |
| #1861 | 23 |