Finite Group DatabasebetaFinite Group Databasebeta| order | 864 |
| isoclinism | isoclinic class of #63734 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C2 |
| direct product | C3×#63734 |
| Sylow | C33 ⋊ D16 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
63 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#63734, #13165349, #13165354, … |
| maximal normal subgroup of | D3×#63734, #13165349, #13165354, … |
| maximal quotient of | C3×#10590024, C3×#10590025, C3×#10590026, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(864, 2708);