Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #107×C181 ⋊ C2 |
| Sylow | C181 ⋊ #484 |
104 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=f,c^2=df,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^180,g^b=g^180,e^c=ef1279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #484×D181, C2×#26041616, #37543633, … |
| maximal normal subgroup of | #484×D181, C2×#26041616, #37543633, … |
| maximal quotient of | #37533810, #37533907, #37534027, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 886);