Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic1154 |
| Sylow | C577 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18464 |
4628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49147853, #49147854, #49147855, … |
| maximal normal subgroup of | #49147853, #49147854, #49147855, … |
| maximal quotient of | C22×#22604397, C22×C4⋊Dic577, C2×C4×Dic1154, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 186);