Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
332 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 332 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. #41×Dic23 | C2 | semidirect |
| 3. C2×#10625007 | C2 | semidirect |
| 4. #13092390 | C2 | semidirect |
| 5. #13092188 | C2 | semidirect |
| 6. #13092176 | C2 | semidirect |
| 7. C23×#421 | C2 | semidirect |
| 12. #10625122 | C4 | semidirect |
| 14. #10625120 | C4 | semidirect |
| 45. C2×D92 | C2×C4 | semidirect |
| 47. C2×Dic46 | C2×C4 | semidirect |
| 68. #67267 | C2×C4 | semidirect |
| 126. #421 | D23 | semidirect |
| 158. C23 | #1906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093215 | 2 |
| #41×Dic23 | 2 |
| C2×#10625007 | 2 |
| #13092390 | 2 |
| #13092188 | 2 |
| #13092176 | 2 |
| C23×#421 | 2 |
| #1906 | 23 |