Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #338 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,e^a=ef,g^a=g^162,d^b=df,g^d=g^180742 conjugacy classes — view the full character table.
| maximal subgroup of | #37548695, #37548696, #37548697, … |
| maximal normal subgroup of | #37548695, #37548696, #37548697, … |
| maximal quotient of | #37548546, #37548547, #37548587, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1418);