Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
382 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 2. #31827041 | C2 | semidirect |
| 3. C2×#22583597 | C2 | semidirect |
| 4. C2×#22583536 | C2 | semidirect |
| 5. C2×#22583528 | C2 | semidirect |
| 6. #31826224 | C2 | semidirect |
| 7. #418×C283 | C2 | semidirect |
| 130. C283 | #2003 | semidirect |
| 136. #418 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583636 | 2 |
| #31827041 | 2 |
| C2×#22583597 | 2 |
| C2×#22583536 | 2 |
| C2×#22583528 | 2 |
| #31826224 | 2 |
| #418×C283 | 2 |
| #2003 | 283 |