Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C16×C181 ⋊ C4 |
| Sylow | C181 ⋊ #365 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^162,d^b=df,g^d=g^180736 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#26042203, D181⋊#365, #37550068, … |
| maximal normal subgroup of | C2×#26042203, D181⋊#365, #37550068, … |
| maximal quotient of | #37548745, #37548747, #37548786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1473);