Finite Group DatabasebetaFinite Group Databasebeta| order | 972 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#92394 |
| Fitting | C2×3−1+4 ⋊ C2 |
| Sylow | 3−1+4 ⋊ C22 |
414 conjugacy classes of subgroups.
| transitive degree | μt(G) = 54 |
116 conjugacy classes — view the full character table.
| maximal subgroup of | #10619908⋊C3, #10619909⋊C3, C4×#92394, … |
| maximal normal subgroup of | #10619908⋊C3, #10619909⋊C3, C4×#92394, … |
| maximal quotient of | #14518941, C4×#92394, C4⋊#92394, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(972, 854);