Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D577 |
| Fitting | C22×C4×C577 ⋊ C2 |
| Sylow | C577 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9232 |
4628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49148012, C8×C22⋊D577, #49148017, … |
| maximal normal subgroup of | #49148012, C8×C22⋊D577, #49148017, … |
| maximal quotient of | C4×C22⋊Dic577, C4×#22604395, C4×#22604397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 107);