Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. #13092178 | C2 | semidirect |
| 5. #13092176 | C2 | semidirect |
| 6. #13092173 | C2 | semidirect |
| 7. C23×H(3,ℤ/4) | C2 | semidirect |
| 18. #10625043 | C4 | semidirect |
| 19. C42×D23 | C4 | semidirect |
| 104. H(3,ℤ/4) | D23 | semidirect |
| 125. C23 | #1827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092885 | 2 |
| #13092399 | 2 |
| #13092390 | 2 |
| #13092178 | 2 |
| #13092176 | 2 |
| #13092173 | 2 |
| C23×H(3,ℤ/4) | 2 |
| #1827 | 23 |