Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
294 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 83 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×#10625061 | C2 | semidirect |
| 5. #13092179 | C2 | semidirect |
| 6. #13092171 | C2 | semidirect |
| 7. C23×#340 | C2 | semidirect |
| 118. #340 | D23 | semidirect |
| 143. C23 | #2025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625061 | 2 |
| C2×#10625003 | 2 |
| C2×#10624991 | 2 |
| #13092318 | 2 |
| #13092179 | 2 |
| #13092171 | 2 |
| C23×#340 | 2 |
| #2025 | 23 |