Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #344 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=e,e^2=f,b^a=bc,c^a=cf,d^b=df,g^b=g^162,g^e=g^180472 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#26042160, #37549429, #37549479, … |
| maximal normal subgroup of | C2×#26042160, #37549429, #37549479, … |
| maximal quotient of | #37548560, #37548564, #37548565, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1430);