Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
936 conjugacy classes of subgroups; only the 277 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 277 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. C22×C4×Dic23 | C2 | semidirect |
| 3. #13092322 | C2 | semidirect |
| 4. #13092318 | C2 | semidirect |
| 5. #13092294 | C2 | semidirect |
| 6. C4×(C2×D23)⋊C4 | C2 | semidirect |
| 7. C2×C23×#117 | C2 | semidirect |
| 13. C2×#67288 | C4 | semidirect |
| 44. C2×D92 | C2×C4 | semidirect |
| 47. C2×C4×D23 | C2×C4 | semidirect |
| 50. C2×Dic46 | C2×C4 | semidirect |
| 68. C2×C4×C23 | C22⋊C4 | semidirect |
| 82. C2×Dic23 | #41 | semidirect |
| 105. C2×#117 | D23 | semidirect |
| 135. C23 | #2297 | semidirect |
| 189. C2×C4 | (C2×D23)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67288 | 2 |
| C22×C4×Dic23 | 2 |
| #13092322 | 2 |
| #13092318 | 2 |
| #13092294 | 2 |
| C4×(C2×D23)⋊C4 | 2 |
| C2×C23×#117 | 2 |
| #2297 | 23 |