Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C181 ⋊ #368 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=ce,c^2=ef,d^2=f,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^162,g^b=g^180,g^d=g^180742 conjugacy classes — view the full character table.
| maximal subgroup of | #37548876, #37548877, #37548886, … |
| maximal normal subgroup of | #37548876, #37548877, #37548886, … |
| maximal quotient of | #37548753, #37548754, #37548781, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1478);