Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #100×C181 ⋊ C2 |
| Sylow | C181 ⋊ #413 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,c^2=f,e^2=f,b^a=bd,d^a=df,e^b=ef,g^c=g^1801012 conjugacy classes — view the full character table.
| maximal subgroup of | #37535359, #37535361, #37535369, … |
| maximal normal subgroup of | #37535359, #37535361, #37535369, … |
| maximal quotient of | #37532032, #37532036, #37532052, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 530);