Finite Group DatabasebetaFinite Group Databasebeta| order | 26950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C72×C25 · Schur multiplier (H2) = C7 |
| derived, Sylow | C11 ⋊ C2×C72×C25 |
| Hall | C72×C11⋊C25 ⋊ C2 |
| Hall | C72×D11 ⋊ C25 |
| Hall | C72×C11 ⋊ C2×C25 |
| Hall | C11⋊C25 ⋊ C2×C72 |
| Hall | D11 ⋊ C72×C25 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13475 |
2695 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26950, 34);