Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
174 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 1. C2×#10625010 | C2 | semidirect |
| 3. Q16×Dic23 | C2 | semidirect |
| 4. Dic23⋊C16 | C2 | semidirect |
| 5. #13092219 | C2 | semidirect |
| 6. #13092218 | C2 | semidirect |
| 7. C2×C23×SD32 | C2 | semidirect |
| 27. Q16×C23 | D4 | semidirect |
| 72. Dic23 | SD32 | semidirect |
| 74. C2×SD32 | D23 | semidirect |
| 98. C23 | #2207 | semidirect |
| 105. Q16 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625010 | 2 |
| #13092792 | 2 |
| Q16×Dic23 | 2 |
| Dic23⋊C16 | 2 |
| #13092219 | 2 |
| #13092218 | 2 |
| C2×C23×SD32 | 2 |
| #2207 | 23 |