Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 69 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×#10624987 | C2 | semidirect |
| 3. #13092419 | C2 | semidirect |
| 4. #13092418 | C2 | semidirect |
| 5. #13092283 | C2 | semidirect |
| 6. #13092185 | C2 | semidirect |
| 7. C2×C23×#104 | C2 | semidirect |
| 52. C42×C23 | D4 | semidirect |
| 123. C2×#104 | D23 | semidirect |
| 154. C23 | #2040 | semidirect |
| 190. C42 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092995 | 2 |
| C2×#10624987 | 2 |
| #13092419 | 2 |
| #13092418 | 2 |
| #13092283 | 2 |
| #13092185 | 2 |
| C2×C23×#104 | 2 |
| #2040 | 23 |