Finite Group DatabasebetaFinite Group Databasebeta| order | 864 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C9 · Schur multiplier (H2) = C2 |
| direct product | C9×#803 |
| Sylow | C3×C9 ⋊ #97 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
324 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13134930, #13134931, #13134932, … |
| maximal normal subgroup of | #13134930, #13134931, #13134932, … |
| maximal quotient of | C9×#4454, C9×#4466, C9×#4524, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(864, 332);