Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
284 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13092390 | C2 | semidirect |
| 4. #13092372 | C2 | semidirect |
| 5. C23×#427 | C2 | semidirect |
| 11. C2×Dic92 | C4 | semidirect |
| 16. C2×D184 | C4 | semidirect |
| 17. C2×#67263 | C4 | semidirect |
| 93. #427 | D23 | semidirect |
| 120. C23 | #1976 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625075 | 2 |
| #13092435 | 2 |
| #13092390 | 2 |
| #13092372 | 2 |
| C23×#427 | 2 |
| #1976 | 23 |