Finite Group DatabasebetaFinite Group Databasebeta| order | 528 |
| isoclinism | isoclinic class of Dic66 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic66 |
| Hall | C3×C11 ⋊ C2×Q8 |
| Sylow | C11 ⋊ C2×Dic6 |
| Sylow | C3 ⋊ C2×Dic22 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 528 |
138 conjugacy classes — view the full character table.
| maximal subgroup of | #11760500, #11760511, #11760512, … |
| maximal normal subgroup of | #11760500, #11760511, #11760512, … |
| maximal quotient of | C4×Dic66, #11761208, #11761209, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(528, 146);