Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #101×C181 ⋊ C2 |
| Sylow | C181 ⋊ #454 |
146 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|c^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^180,d^b=df,e^b=ef,g^b=g^180,d^c=df1006 conjugacy classes — view the full character table.
| maximal subgroup of | #37535739, #37535743, #37535748, … |
| maximal normal subgroup of | #37535739, #37535743, #37535748, … |
| maximal quotient of | #37532652, #37532658, #37532663, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 724);