Finite Group DatabasebetaFinite Group Databasebeta| order | 8864 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C277 ⋊ #101 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,277|a^2=d,b^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^276,d^b=de1391 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31799798, #31799799, #31799800, … |
| maximal normal subgroup of | #31799798, #31799799, #31799800, … |
| maximal quotient of | #31799728, #31799744, #31799748, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8864, 65);