Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
260 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
| 4. #13092173 | C2 | semidirect |
| 5. C23×#427 | C2 | semidirect |
| 15. C2×#67262 | C4 | semidirect |
| 16. C2×C8×D23 | C4 | semidirect |
| 90. #427 | D23 | semidirect |
| 114. C23 | #1812 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625072 | 2 |
| #13092455 | 2 |
| #13092390 | 2 |
| #13092173 | 2 |
| C23×#427 | 2 |
| #1812 | 23 |