Finite Group DatabasebetaFinite Group DatabasebetaOrder 23168.
132 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 48 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 |
|---|---|---|
| 7. D181⋊C16 | C4 | semidirect |
| 9. #19153884 | C4 | semidirect |
| 13. #19153748 | C4 | semidirect |
| 14. #106×C181 | C4 | semidirect |
| 59. C181 | #1384 | semidirect |
| 74. #106 | #10624382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D181⋊M32 | 2 |
| #26042289 | 2 |
| #26041314 | 2 |
| #1384 | 181 |