Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
880 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 229 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. C2×#10625043 | C2 | semidirect |
| 3. C2×C4⋊C4×D23 | C2 | semidirect |
| 4. #13092323 | C2 | semidirect |
| 5. #13092322 | C2 | semidirect |
| 6. #13092320 | C2 | semidirect |
| 7. #13092293 | C2 | semidirect |
| 8. #13092275 | C2 | semidirect |
| 9. C23×#390 | C2 | semidirect |
| 15. C2×#67290 | C4 | semidirect |
| 36. C2×D4×C23 | C2×C4 | semidirect |
| 45. C22×Dic23 | C2×C4 | semidirect |
| 58. C2×Dic46 | C2×C4 | semidirect |
| 102. C4×D23 | C22⋊C4 | semidirect |
| 133. #390 | D23 | semidirect |
| 165. C23 | #2311 | semidirect |
| 177. C2×D4 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67290 | 2 |
| C2×#10625043 | 2 |
| C2×C4⋊C4×D23 | 2 |
| #13092323 | 2 |
| #13092322 | 2 |
| #13092320 | 2 |
| #13092293 | 2 |
| #13092275 | 2 |
| C23×#390 | 2 |
| #2311 | 23 |