Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
262 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
| 3. #13092440 | C2 | semidirect |
| 5. #13092187 | C2 | semidirect |
| 6. #13092176 | C2 | semidirect |
| 19. #10625019 | C4 | semidirect |
| 20. #10625019 | C4 | semidirect |
| 120. C23 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093184 | 2 |
| #13092465 | 2 |
| #13092440 | 2 |
| C2×#10625019 | 2 |
| #13092187 | 2 |
| #13092176 | 2 |
| C23×#421 | 2 |
| #1861 | 23 |