Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
160 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 61 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. C4×Dic92 | C2 | semidirect |
| 4. #13092243 | C2 | semidirect |
| 5. #13092222 | C2 | semidirect |
| 7. C23×#346 | C2 | semidirect |
| 19. #10624982 | C4 | semidirect |
| 32. Dic92 | C2×C4 | semidirect |
| 36. C16×C23 | C2×C4 | semidirect |
| 70. #346 | D23 | semidirect |
| 87. C23 | #2175 | semidirect |
| 104. C16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624982 | 2 |
| C4×Dic92 | 2 |
| C4×D184 | 2 |
| #13092243 | 2 |
| #13092222 | 2 |
| #13092219 | 2 |
| C23×#346 | 2 |
| #2175 | 23 |