Finite Group DatabasebetaFinite Group Databasebeta| order | 972 |
| isoclinism | isoclinic class of #4179 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#92177 |
| Fitting | C2×#6868 ⋊ C2 |
| derived | C3×C9 ⋊ C22×C9 |
| Sylow | #6868 ⋊ C22 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 108 |
78 conjugacy classes — view the full character table.
| maximal subgroup of | #92177⋊C4, #14515788, #14515789, … |
| maximal normal subgroup of | #92177⋊C4, #14515788, #14515789, … |
| maximal quotient of | #14515954, C4×#92177, C4⋊#92177, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(972, 206);