Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #343 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=cf,g^a=g^162,d^b=df,g^d=g^180742 conjugacy classes — view the full character table.
| maximal subgroup of | #37548703, #37548704, #37548705, … |
| maximal normal subgroup of | #37548703, #37548704, #37548705, … |
| maximal quotient of | #37548559, #37548566, #37548572, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1429);