Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
270 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 65 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. #13092391 | C2 | semidirect |
| 3. #13092209 | C2 | semidirect |
| 4. C23×#410 | C2 | semidirect |
| 6. C22×D92 | C4 | semidirect |
| 8. #10625118 | C4 | semidirect |
| 15. #10625097 | C4 | semidirect |
| 17. C23×#99 | C22 | semidirect |
| 19. #10625016 | C22 | semidirect |
| 97. #410 | D23 | semidirect |
| 119. #99 | C2×D23 | semidirect |
| 120. C23 | #2128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092981 | 2 |
| #13092391 | 2 |
| #13092209 | 2 |
| C23×#410 | 2 |
| #2128 | 23 |