Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C181 ⋊ #568 |
258 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,e^2=f,d^a=df,g^a=g^162,c^b=cf,g^d=g^180,g^e=g^180484 conjugacy classes — view the full character table.
| maximal subgroup of | #37549682, #37549683, #37549718, … |
| maximal normal subgroup of | #37549682, #37549683, #37549718, … |
| maximal quotient of | #37550286, #37550292, #37550293, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1628);