Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
140 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 3. #13092247 | C2 | semidirect |
| 4. #13092233 | C2 | semidirect |
| 5. C2×C23×Q32 | C2 | semidirect |
| 50. C2×Q32 | D23 | semidirect |
| 69. C23 | #2222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092833 | 2 |
| #13092689 | 2 |
| #13092247 | 2 |
| #13092233 | 2 |
| C2×C23×Q32 | 2 |
| #2222 | 23 |