Finite Group DatabasebetaFinite Group DatabasebetaOrder 36928.
218 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 95 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. #32914659 | C2 | semidirect |
| 2. #32914654 | C2 | semidirect |
| 3. #32914649 | C2 | semidirect |
| 4. #32914647 | C2 | semidirect |
| 5. #32914643 | C2 | semidirect |
| 6. #32914642 | C2 | semidirect |
| 8. C4×C22⋊D577 | C2 | semidirect |
| 9. C2×C4⋊C4×C577 | C2 | semidirect |
| 66. C577 | #539 | semidirect |
| 76. C2×C4⋊C4 | D577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #32914659 | 2 |
| #32914654 | 2 |
| #32914649 | 2 |
| #32914647 | 2 |
| #32914643 | 2 |
| #32914642 | 2 |
| #32914638 | 2 |
| C4×C22⋊D577 | 2 |
| C2×C4⋊C4×C577 | 2 |
| #539 | 577 |