Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
312 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 3. #13092427 | C2 | semidirect |
| 4. #13092425 | C2 | semidirect |
| 6. #13092173 | C2 | semidirect |
| 7. C23×H(3,ℤ/4) | C2 | semidirect |
| 20. #10625046 | C4 | semidirect |
| 21. #10625040 | C4 | semidirect |
| 111. H(3,ℤ/4) | D23 | semidirect |
| 134. C23 | #1909 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093183 | 2 |
| #13092993 | 2 |
| #13092427 | 2 |
| #13092425 | 2 |
| #13092390 | 2 |
| #13092173 | 2 |
| C23×H(3,ℤ/4) | 2 |
| #1909 | 23 |