Finite Group DatabasebetaFinite Group Databasebeta| order | 26964 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| derived, Hall | C7×C107 ⋊ C32×C4 |
| Hall | C3×ΓL(1,𝔽8)×C107 ⋊ C4 |
| Hall | Dic749 ⋊ C32 |
| Sylow | C107 ⋊ C3×ΓL(1,𝔽8)⋊C4 |
| Hall | C3×ΓL(1,𝔽8) ⋊ Dic107 |
| Sylow | C7 ⋊ C32×Dic107 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8988 |
1632 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26964, 37);