Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
142 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13092524 | C2 | semidirect |
| 3. #13092240 | C2 | semidirect |
| 4. #13092233 | C2 | semidirect |
| 6. #13092194 | C2 | semidirect |
| 12. C23×Q32 | C4 | semidirect |
| 13. C23×SD32 | C4 | semidirect |
| 76. Q32 | Dic23 | semidirect |
| 77. SD32 | Dic23 | semidirect |
| 85. C23 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092539 | 2 |
| #13092524 | 2 |
| #13092240 | 2 |
| #13092233 | 2 |
| #13092227 | 2 |
| #13092194 | 2 |
| C23×#510 | 2 |
| #2180 | 23 |