Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13092435 | C2 | semidirect |
| 3. #13092425 | C2 | semidirect |
| 4. #13092401 | C2 | semidirect |
| 5. C23×#410 | C2 | semidirect |
| 12. C2×#67288 | C4 | semidirect |
| 14. C22×Dic46 | C4 | semidirect |
| 108. #410 | D23 | semidirect |
| 131. C23 | #1796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625161 | 2 |
| #13092435 | 2 |
| #13092425 | 2 |
| #13092401 | 2 |
| C23×#410 | 2 |
| #1796 | 23 |