Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
416 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 181 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. #13092712 | C2 | direct (N × H) |
| 25. C2×Q8×C23 | Q8 | semidirect |
| 49. Q8×C23 | C2×Q8 | semidirect |
| 85. C2×C23 | #477 | semidirect |
| 105. C23 | C2×#477 | semidirect |
| 110. C2×Q8 | Dic46 | semidirect |
| 133. Q8 | C2×Dic46 | semidirect |
| 161. C2 | #13092712 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625040 | 2 |
| #13092712 | 2 |
| C2×#10624989 | 2 |
| C2×C4⋊(C23⋊C8) | 2 |
| C2×#10625017 | 2 |
| C2×C4×Q8×C23 | 2 |
| C2×#477 | 23 |