Finite Group DatabasebetaFinite Group Databasebeta| order | 864 |
| isoclinism | isoclinic class of #63385 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | C3×#63386 |
| Sylow | C3×C9 ⋊ SD32 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
117 conjugacy classes — view the full character table.
| maximal subgroup of | #13139219, #13139220, D3×#63386, … |
| maximal normal subgroup of | #13139219, #13139220, D3×#63386, … |
| maximal quotient of | C3×#10588167, C3×#10588169, C3×#10588239, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(864, 425);