Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C181 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,d^2=e,e^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 | #37548653, #37548654, #37548655, … |
| maximal normal subgroup of | #37548653, #37548654, #37548655, … |
| maximal quotient of | #37548641, #37548657, #37548673, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1445);