Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22604407 |
| Fitting | C2×C8×C577 ⋊ C2 |
| Sylow | C577 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9232 |
4622 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49148036, C4×#22604407, #49148048, … |
| maximal normal subgroup of | #49148036, C4×#22604407, #49148048, … |
| maximal quotient of | C2×#32914586, C2×#32914589, C2×#32914596, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 161);