Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
424 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 424 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. #13092814 | C2 | direct (N × H) |
| 26. C2×C8×C23 | Q8 | semidirect |
| 35. C2×C23⋊C8 | Q8 | semidirect |
| 49. C8×C23 | C2×Q8 | semidirect |
| 50. C23⋊C8 | C2×Q8 | semidirect |
| 67. C2×C23 | #498 | semidirect |
| 83. C23 | C2×#498 | semidirect |
| 92. C2×C8 | Dic46 | semidirect |
| 114. C8 | C2×Dic46 | semidirect |
| 124. C2 | #13092814 | 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 |
| #13092814 | 2 |
| C2×#10624999 | 2 |
| C2×#10624990 | 2 |
| C2×C8×Dic23 | 2 |
| C2×C23×#106 | 2 |
| C2×#498 | 23 |