Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
356 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
| 5. #13092282 | C2 | semidirect |
| 6. #13092179 | C2 | semidirect |
| 7. C23×#340 | C2 | semidirect |
| 18. #10625064 | C4 | semidirect |
| 121. #340 | D23 | semidirect |
| 146. C23 | #1804 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625064 | 2 |
| C2×Dic23⋊C8 | 2 |
| C2×#10625003 | 2 |
| C2×#10624991 | 2 |
| #13092282 | 2 |
| #13092179 | 2 |
| C23×#340 | 2 |
| #1804 | 23 |