Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
152 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 152 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 |
|---|---|---|
| 8. C23×#107 | C4 | semidirect |
| 10. #10625000 | C4 | semidirect |
| 13. C2×C23⋊C16 | C4 | semidirect |
| 78. #107 | Dic23 | semidirect |
| 79. C23 | #1380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C23⋊C16 | 2 |
| C2×#10625000 | 2 |
| C2×C23×#107 | 2 |
| #1380 | 23 |