Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
160 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 3. #13092194 | C2 | semidirect |
| 8. C23×M32 | C4 | semidirect |
| 10. C2×C16×C23 | C4 | semidirect |
| 13. #10624994 | C4 | semidirect |
| 15. C2×C23⋊C16 | C4 | semidirect |
| 67. M32 | Dic23 | semidirect |
| 70. C2×C16 | Dic23 | semidirect |
| 73. C23 | #2110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624994 | 2 |
| #13092372 | 2 |
| #13092194 | 2 |
| C2×C23×M32 | 2 |
| #2110 | 23 |