Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
148 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 148 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 |
|---|---|---|
| 1. #13092833 | C2 | semidirect |
| 2. #13092684 | C2 | semidirect |
| 3. #13092247 | C2 | semidirect |
| 4. #13092230 | C2 | semidirect |
| 5. C2×C23×D16 | C2 | semidirect |
| 51. C2×D16 | D23 | semidirect |
| 71. C23 | #2221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092833 | 2 |
| #13092684 | 2 |
| #13092247 | 2 |
| #13092230 | 2 |
| C2×C23×D16 | 2 |
| #2221 | 23 |