Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C181 ⋊ #350 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^162,c^b=cf,d^b=df,g^d=g^180478 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#26042177, D181⋊#350, #37549963, … |
| maximal normal subgroup of | C2×#26042177, D181⋊#350, #37549963, … |
| maximal quotient of | #37548643, #37548659, D4⋊#15668452, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1447);