Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
164 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 1. C2×#10625009 | C2 | semidirect |
| 2. C22×C23⋊C16 | C2 | semidirect |
| 3. #13092658 | C2 | semidirect |
| 4. #13092244 | C2 | semidirect |
| 5. #13092220 | C2 | semidirect |
| 6. #13092218 | C2 | semidirect |
| 39. C23⋊C16 | D4 | semidirect |
| 63. C22×C23 | SD32 | semidirect |
| 96. C23 | #2217 | semidirect |
| 138. C22 | #10625009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625009 | 2 |
| C22×C23⋊C16 | 2 |
| #13092658 | 2 |
| #13092244 | 2 |
| #13092220 | 2 |
| #13092218 | 2 |
| C23×#466 | 2 |
| #2217 | 23 |