Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
172 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 19. #10624985 | C4 | semidirect |
| 20. C4×C23⋊C8 | C4 | semidirect |
| 99. C23 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625004 | 2 |
| #13092453 | 2 |
| #13092373 | 2 |
| #13092189 | 2 |
| #13092187 | 2 |
| #13092173 | 2 |
| C23×H(3,ℤ/4) | 2 |
| #1833 | 23 |