Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊Dic577 |
| Sylow | C577 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9232 |
4628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49147715, #49147716, C4×C22⋊Dic577, … |
| maximal normal subgroup of | #49147715, #49147716, C4×C22⋊Dic577, … |
| maximal quotient of | C2×#32914571, C4×C22⋊Dic577, #49147805, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 98);