Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
388 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×C22⋊(C23⋊C8) | C2 | semidirect |
| 3. #13092150 | C2 | direct (N × H) |
| 4. C2×C23×#95 | C2 | semidirect |
| 8. C22×D92 | C4 | semidirect |
| 11. #10625101 | C4 | semidirect |
| 14. C2×C4⋊Dic23 | C4 | semidirect |
| 17. C23×#95 | C22 | semidirect |
| 19. C22⋊(C23⋊C8) | C22 | semidirect |
| 40. C2×D92 | C2×C4 | semidirect |
| 44. C4⋊Dic23 | C2×C4 | semidirect |
| 106. C2×#95 | D23 | semidirect |
| 111. C2×C23 | #327 | semidirect |
| 130. #95 | C2×D23 | semidirect |
| 131. C23 | C2×#327 | semidirect |
| 219. C2 | #13092150 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625101 | 2 |
| C2×C22⋊(C23⋊C8) | 2 |
| #13092150 | 2 |
| C2×C23×#95 | 2 |
| C2×#327 | 23 |