Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 348 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. #13092546 | C2 | semidirect |
| 3. #13092544 | C2 | semidirect |
| 50. C2×C23⋊C8 | Q8 | semidirect |
| 113. C23 | #2961 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092970 | 2 |
| #13092546 | 2 |
| #13092544 | 2 |
| #13092443 | 2 |
| #13092440 | 2 |
| #13092375 | 2 |
| #13092373 | 2 |
| C2×#10624997 | 2 |
| C23×#424 | 2 |
| #2961 | 23 |