Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
416 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 416 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. #13092700 | C2 | direct (N × H) |
| 31. C2×Q8×C23 | Q8 | semidirect |
| 60. Q8×C23 | C2×Q8 | semidirect |
| 102. C2×C23 | #475 | semidirect |
| 126. C23 | C2×#475 | semidirect |
| 131. C2×Q8 | Dic46 | semidirect |
| 159. Q8 | C2×Dic46 | semidirect |
| 191. C2 | #13092700 | 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×Q8×Dic23 | 2 |
| #13092700 | 2 |
| C2×#10624999 | 2 |
| C2×#10624990 | 2 |
| C2×Dic23⋊C8 | 2 |
| C2×#10625017 | 2 |
| C2×C23×#103 | 2 |
| C2×#475 | 23 |