Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
408 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 85 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×#10625016 | C2 | semidirect |
| 3. C2×#10624988 | C2 | semidirect |
| 4. C2×#10624988 | C2 | semidirect |
| 5. #13092275 | C2 | semidirect |
| 6. C22⋊C4×Dic23 | C2 | semidirect |
| 7. C2×C23×#99 | C2 | semidirect |
| 9. C22×C22⋊D23 | C4 | semidirect |
| 14. C2×C22⋊Dic23 | C4 | semidirect |
| 21. C2×(C2×D23)⋊C4 | C4 | semidirect |
| 23. C2×Dic23⋊C4 | C4 | semidirect |
| 65. C22⋊C4×C23 | D4 | semidirect |
| 71. C22⋊Dic23 | D4 | semidirect |
| 172. Dic23 | #99 | semidirect |
| 177. C2×#99 | D23 | semidirect |
| 214. C23 | #1964 | semidirect |
| 260. C22⋊C4 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625110 | 2 |
| C2×#10625016 | 2 |
| C2×#10624988 | 2 |
| #13092275 | 2 |
| C22⋊C4×Dic23 | 2 |
| C2×C23×#99 | 2 |
| #1964 | 23 |