Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
148 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 11. #22583556 | C4 | semidirect |
| 63. C283 | #2176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583556 | 2 |
| Q16×Dic283 | 2 |
| #31826559 | 2 |
| #31826292 | 2 |
| #31826270 | 2 |
| #31826240 | 2 |
| #358×C283 | 2 |
| #2176 | 283 |