Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
448 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#67275 | C2 | semidirect |
| 5. #13092691 | C2 | direct (N × H) |
| 6. C2×#10625004 | C2 | semidirect |
| 7. C2×#10625006 | C2 | semidirect |
| 8. C2×C23×#101 | C2 | semidirect |
| 18. C2×#67275 | C22 | semidirect |
| 32. C23×#101 | C22 | semidirect |
| 33. #10625006 | C22 | semidirect |
| 34. #10625004 | C22 | semidirect |
| 136. C2×#101 | D23 | semidirect |
| 139. C2×C23 | #473 | semidirect |
| 167. #101 | C2×D23 | semidirect |
| 168. C23 | C2×#473 | semidirect |
| 265. C2 | #13092691 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625080 | 2 |
| C2×#10625113 | 2 |
| C22×#67275 | 2 |
| C2×#10625078 | 2 |
| #13092691 | 2 |
| C2×#10625004 | 2 |
| C2×#10625006 | 2 |
| C2×C23×#101 | 2 |
| C2×#473 | 23 |