Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C42×C181 ⋊ C4 |
| Sylow | C181 ⋊ #384 |
186 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=f,b^2=d,c^2=e,b^a=bd,c^a=ce,g^a=g^162,g^f=g^180748 conjugacy classes — view the full character table.
| maximal subgroup of | #37548600, #37549589, #37549590, … |
| maximal normal subgroup of | #37548600, #37549589, #37549590, … |
| maximal quotient of | #37548899, #37548909, #37549653, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1495);