Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C181 ⋊ #408 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,e^2=f,b^a=bd,g^a=g^162,c^b=cf,g^c=g^180,g^e=g^180478 conjugacy classes — view the full character table.
| maximal subgroup of | #37548820, #37549569, #37549678, … |
| maximal normal subgroup of | #37548820, #37549569, #37549678, … |
| maximal quotient of | #37548987, #37548991, #37548994, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1523);