Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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×C4⋊(C23⋊C8) | C2 | semidirect |
| 3. C2×#10625014 | C2 | semidirect |
| 4. C2×#10624991 | C2 | semidirect |
| 5. #13092319 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 7. C23×#390 | C2 | semidirect |
| 88. C2×C4×C23 | D8 | semidirect |
| 139. #390 | D23 | semidirect |
| 167. C23 | #2054 | semidirect |
| 238. C2×C4 | #67272 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67272 | 2 |
| C2×C4⋊(C23⋊C8) | 2 |
| C2×#10625014 | 2 |
| C2×#10624991 | 2 |
| #13092319 | 2 |
| #13092179 | 2 |
| C23×#390 | 2 |
| #2054 | 23 |