Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C181 ⋊ C22⋊C16 |
66 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,d^2=e,e^2=f,b^a=bc,g^a=g^162,g^b=g^180,g^d=g^180760 conjugacy classes — view the full character table.
| maximal subgroup of | #37548707, #37548708, #37548709, … |
| maximal normal subgroup of | #37548707, #37548708, #37548709, … |
| maximal quotient of | #37548642, #37548658, #37548672, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1444);