Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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×#10624994 | C2 | semidirect |
| 3. #13092217 | C2 | semidirect |
| 4. C23×#427 | C2 | semidirect |
| 10. C2×D184 | C4 | semidirect |
| 12. C23×#107 | C22 | semidirect |
| 15. C2×C23⋊C16 | C22 | semidirect |
| 61. #427 | D23 | semidirect |
| 76. #107 | C2×D23 | semidirect |
| 78. C23 | #2140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D184 | 2 |
| C2×#10624994 | 2 |
| #13092217 | 2 |
| C23×#427 | 2 |
| #2140 | 23 |