Finite Group DatabasebetaFinite Group DatabasebetaOrder 34688.
254 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 92. C271 | #2096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22576091 | 2 |
| C2×#22576085 | 2 |
| C2×#22576083 | 2 |
| #31773802 | 2 |
| #31773766 | 2 |
| #31773651 | 2 |
| C2×#106×C271 | 2 |
| #2096 | 271 |