Finite Group DatabasebetaFinite Group Databasebeta| order | 864 |
| isoclinism | isoclinic class of #63745 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×#63745 |
| Sylow | C33 ⋊ #106 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
54 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10593162, C3×#10593163, #13165115, … |
| maximal normal subgroup of | C3×#10593162, C3×#10593163, #13165115, … |
| maximal quotient of | C3×#10590084, C3×#10590088, C3×#10590093, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(864, 2766);