Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13093045 | C2 | semidirect |
| 4. #13092185 | C2 | semidirect |
| 5. #13092178 | C2 | semidirect |
| 6. #13092176 | C2 | semidirect |
| 31. C2×D4×C23 | Q8 | semidirect |
| 137. C23 | #2027 | semidirect |
| 145. C2×D4 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093045 | 2 |
| #13092422 | 2 |
| #13092320 | 2 |
| #13092185 | 2 |
| #13092178 | 2 |
| #13092176 | 2 |
| C23×#418 | 2 |
| #2027 | 23 |