Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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×Dic23⋊C8 | C2 | semidirect |
| 3. C2×C22⋊(C23⋊C8) | C2 | semidirect |
| 4. C2×(C2×D23)⋊C8 | C2 | semidirect |
| 5. C2×(C2×D23)⋊C8 | C2 | semidirect |
| 6. C2×C8×Dic23 | C2 | semidirect |
| 7. C2×C23×C22⋊C8 | C2 | semidirect |
| 39. C2×C22⋊D23 | C8 | semidirect |
| 54. C2×C8×C23 | D4 | semidirect |
| 65. C2×C23⋊C8 | D4 | semidirect |
| 141. Dic23 | C22⋊C8 | semidirect |
| 147. C2×C22⋊C8 | D23 | semidirect |
| 177. C23 | #1954 | semidirect |
| 211. C2×C8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D23 | 2 |
| C2×Dic23⋊C8 | 2 |
| C2×C22⋊(C23⋊C8) | 2 |
| C2×(C2×D23)⋊C8 | 2 |
| C2×C8×Dic23 | 2 |
| C2×C23×C22⋊C8 | 2 |
| #1954 | 23 |