Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic577 |
| Sylow | C577 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18464 |
4628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49147711, #49147712, #49147717, … |
| maximal normal subgroup of | #49147711, #49147712, #49147717, … |
| maximal quotient of | C2×#32914571, C4×C4⋊Dic577, #49147809, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 101);