Finite Group DatabasebetaFinite Group DatabasebetaOrder 26973.
312 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 1. C3×#15688511 | C3 | semidirect |
| 2. C3×#15688511 | C3 | semidirect |
| 3. #22582483 | C3 | semidirect |
| 9. #15688511 | C32 | semidirect |
| 11. C3×#11758601 | C32 | semidirect |
| 77. C37 | #10624702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#15688511 | 3 |
| #22582483 | 3 |
| C3×C37×#737 | 3 |
| #10624702 | 37 |