Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
316 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#10625004 | C2 | semidirect |
| 3. #13092421 | C2 | semidirect |
| 4. C2×#10625015 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092373 | C2 | semidirect |
| 7. C23×#418 | C2 | semidirect |
| 15. C2×#67272 | C4 | semidirect |
| 109. #418 | D23 | semidirect |
| 137. C23 | #1978 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67272 | 2 |
| C2×#10625004 | 2 |
| #13092421 | 2 |
| C2×#10625015 | 2 |
| C2×#10625005 | 2 |
| #13092373 | 2 |
| C23×#418 | 2 |
| #1978 | 23 |