Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
436 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 115 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×#10625003 | C2 | semidirect |
| 3. C2×#10625014 | C2 | semidirect |
| 4. C2×#10624991 | C2 | semidirect |
| 5. C2×C8×Dic23 | C2 | semidirect |
| 6. #13092286 | C2 | semidirect |
| 7. C2×C23×#102 | C2 | semidirect |
| 14. #10625111 | C4 | semidirect |
| 47. C2×C8×C23 | D4 | semidirect |
| 57. C2×C23⋊C8 | D4 | semidirect |
| 115. Dic23 | #102 | semidirect |
| 120. C2×#102 | D23 | semidirect |
| 146. C23 | #1957 | semidirect |
| 173. 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×#10625111 | 2 |
| C2×#10625003 | 2 |
| C2×#10625014 | 2 |
| C2×#10624991 | 2 |
| C2×C8×Dic23 | 2 |
| #13092286 | 2 |
| C2×C23×#102 | 2 |
| #1957 | 23 |