Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
138 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 47 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. #13092818 | C2 | semidirect |
| 3. #13092221 | C2 | semidirect |
| 6. C16×Dic23 | C2 | semidirect |
| 7. C23×#358 | C2 | semidirect |
| 66. #358 | D23 | semidirect |
| 85. C23 | #2242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092818 | 2 |
| #13092802 | 2 |
| #13092221 | 2 |
| #13092219 | 2 |
| #13092217 | 2 |
| C16×Dic23 | 2 |
| C23×#358 | 2 |
| #2242 | 23 |