Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,d^2=e,e^2=f,g^a=g^162,c^b=cf,g^d=g^180490 conjugacy classes — view the full character table.
| maximal subgroup of | #37550108, #37550109, #37550111, … |
| maximal normal subgroup of | #37550108, #37550109, #37550111, … |
| maximal quotient of | #37549930, #37549951, #37550056, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1607);