Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
160 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 57 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. Q16×Dic23 | C2 | semidirect |
| 4. #13092242 | C2 | semidirect |
| 6. #13092192 | C2 | semidirect |
| 7. C23×#358 | C2 | semidirect |
| 15. #10625010 | C4 | semidirect |
| 24. Q16×C23 | C2×C4 | semidirect |
| 36. C23⋊C16 | C2×C4 | semidirect |
| 68. #358 | D23 | semidirect |
| 87. C23 | #2175 | semidirect |
| 92. Q16 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625010 | 2 |
| Q16×Dic23 | 2 |
| #13092499 | 2 |
| #13092242 | 2 |
| #13092219 | 2 |
| #13092192 | 2 |
| C23×#358 | 2 |
| #2175 | 23 |