Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #423 |
126 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^a=g^162,g^b=g^180,g^c=g^180,g^e=g^180748 conjugacy classes — view the full character table.
| maximal subgroup of | #37548575, #37548590, #37548606, … |
| maximal normal subgroup of | #37548575, #37548590, #37548606, … |
| maximal quotient of | #37549277, #37549280, #37549284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1554);