Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #423 |
126 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^b=g^1801828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531671, #37533711, #37533712, … |
| maximal normal subgroup of | #37531671, #37533711, #37533712, … |
| maximal quotient of | #37532476, #37532479, #37532482, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 572);