Finite Group DatabasebetaFinite Group DatabasebetaOrder 33536.
434 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 106 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. C4×#101×C131 | C2 | semidirect |
| 3. #1461×C131 | C2 | semidirect |
| 4. #1353×C131 | C2 | semidirect |
| 168. #11734 | C131 | direct (N × H) |
| 169. C131 | #11734 | direct (N × H) |
| 171. C4×#101 | C2×C131 | semidirect |
| 172. #1461 | C2×C131 | semidirect |
| 173. #1353 | C2×C131 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #2398×C131 | 2 |
| C4×#101×C131 | 2 |
| #1461×C131 | 2 |
| #1353×C131 | 2 |
| #1345×C131 | 2 |
| #11734 | 131 |