Finite Group DatabasebetaFinite Group Databasebeta| order | 8864 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C277 ⋊ C4 |
| Sylow | C277 ⋊ #99 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,277|a^2=d,b^a=bc,c^a=ce,f^a=f^217,d^b=de,f^b=f^276,f^d=f^276563 conjugacy classes — view the full character table.
| maximal subgroup of | #31800906, #31800907, #31800908, … |
| maximal normal subgroup of | #31800906, #31800907, #31800908, … |
| maximal quotient of | #31800846, #31800847, #31800854, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8864, 205);