Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 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. #13092855 | C2 | semidirect |
| 2. #13092794 | C2 | semidirect |
| 3. #13092535 | C2 | semidirect |
| 4. #13092231 | C2 | semidirect |
| 5. C23×#364 | C2 | semidirect |
| 24. Dic92 | D4 | semidirect |
| 29. D184 | D4 | semidirect |
| 61. #364 | D23 | semidirect |
| 78. C23 | #2213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092855 | 2 |
| #13092794 | 2 |
| #13092535 | 2 |
| #13092231 | 2 |
| C23×#364 | 2 |
| #2213 | 23 |