Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
272 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 19. #10624990 | C4 | semidirect |
| 20. #10624989 | C4 | semidirect |
| 21. #10624985 | C4 | semidirect |
| 73. C23⋊C8 | C42 | semidirect |
| 120. C23 | #1776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10624989 | 2 |
| C2×#10624990 | 2 |
| C2×#10624985 | 2 |
| C4×C4⋊Dic23 | 2 |
| #13092179 | 2 |
| C4×C4⋊C4×C23 | 2 |
| #1776 | 23 |