Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. C2×#10625058 | C2 | semidirect |
| 3. #13092752 | C2 | semidirect |
| 4. #13092727 | C2 | semidirect |
| 5. #13092638 | C2 | semidirect |
| 6. #13092575 | C2 | semidirect |
| 8. #13092523 | C2 | semidirect |
| 9. #13092514 | C2 | semidirect |
| 10. #13092471 | C2 | semidirect |
| 174. C23 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092948 | 2 |
| C2×#10625058 | 2 |
| #13092752 | 2 |
| #13092727 | 2 |
| #13092638 | 2 |
| #13092575 | 2 |
| #13092555 | 2 |
| #13092523 | 2 |
| #13092514 | 2 |
| #13092471 | 2 |
| C23×#481 | 2 |
| #3117 | 23 |