Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
236 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13092198 | C2 | direct (N × H) |
| 4. C2×C23×M32 | C2 | semidirect |
| 15. C23×M32 | C22 | semidirect |
| 18. #10624994 | C22 | semidirect |
| 83. C2×M32 | D23 | semidirect |
| 87. C2×C23 | #349 | semidirect |
| 102. M32 | C2×D23 | semidirect |
| 105. C23 | C2×#349 | semidirect |
| 169. C2 | #13092198 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67262 | 2 |
| C2×#10624994 | 2 |
| #13092198 | 2 |
| C2×C23×M32 | 2 |
| C2×#349 | 23 |