Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C181 ⋊ #347 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,g^a=g^162,c^b=cf,g^c=g^180742 conjugacy classes — view the full character table.
| maximal subgroup of | #37548723, #37548724, #37548725, … |
| maximal normal subgroup of | #37548723, #37548724, #37548725, … |
| maximal quotient of | #37548639, #37548762, C2×#26042171 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1441);