Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
384 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 165 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. #13092824 | C2 | direct (N × H) |
| 38. C2×C8×C23 | Q8 | semidirect |
| 53. C2×C23⋊C8 | Q8 | semidirect |
| 73. C8×C23 | C2×Q8 | semidirect |
| 74. C23⋊C8 | C2×Q8 | semidirect |
| 97. C2×C23 | #501 | semidirect |
| 121. C23 | C2×#501 | semidirect |
| 133. C2×C8 | Dic46 | semidirect |
| 167. C8 | C2×Dic46 | semidirect |
| 181. C2 | #13092824 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625059 | 2 |
| C2×#10625061 | 2 |
| #13092824 | 2 |
| C2×#10625000 | 2 |
| C2×#10624989 | 2 |
| C2×#10624990 | 2 |
| C2×#10624997 | 2 |
| C2×C23×#106 | 2 |
| C2×#501 | 23 |