Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #13092455 | C2 | semidirect |
| 3. #13092245 | C2 | semidirect |
| 4. #13092243 | C2 | semidirect |
| 5. #13092219 | C2 | semidirect |
| 6. #13092219 | C2 | semidirect |
| 7. C23×C22⋊C16 | C2 | semidirect |
| 71. C22⋊C16 | D23 | semidirect |
| 88. C23 | #2234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092653 | 2 |
| #13092455 | 2 |
| #13092245 | 2 |
| #13092243 | 2 |
| #13092219 | 2 |
| C23×C22⋊C16 | 2 |
| #2234 | 23 |