Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
340 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13092277 | C2 | semidirect |
| 3. #13092152 | C2 | semidirect |
| 4. C2×C23×C22⋊C8 | C2 | semidirect |
| 7. C22×D92 | C4 | semidirect |
| 12. #10625101 | C4 | semidirect |
| 16. C2×C4⋊Dic23 | C4 | semidirect |
| 18. C23×C22⋊C8 | C22 | semidirect |
| 19. C23⋊#95 | C22 | semidirect |
| 103. C2×C22⋊C8 | D23 | semidirect |
| 127. C22⋊C8 | C2×D23 | semidirect |
| 129. C23 | #1519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625101 | 2 |
| #13092277 | 2 |
| #13092152 | 2 |
| C2×C23×C22⋊C8 | 2 |
| #1519 | 23 |