Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C181 ⋊ #446 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,c^a=cf,g^a=g^19,g^b=g^180,g^c=g^162,g^e=g^180478 conjugacy classes — view the full character table.
| maximal subgroup of | D181⋊#446, C2×#26042331, #37550509, … |
| maximal normal subgroup of | D181⋊#446, C2×#26042331, #37550509, … |
| maximal quotient of | #37549516, #37549520, #37549521, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1601);