Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. C2×#10625017 | C2 | semidirect |
| 5. #13092180 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 7. C2×C23×#103 | C2 | semidirect |
| 13. #10625117 | C4 | semidirect |
| 127. C2×#103 | D23 | semidirect |
| 157. C23 | #1873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625117 | 2 |
| C2×#10625063 | 2 |
| C2×#10625017 | 2 |
| C2×(C2×D23)⋊C8 | 2 |
| #13092180 | 2 |
| #13092179 | 2 |
| C2×C23×#103 | 2 |
| #1873 | 23 |