Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C313 ⋊ C4 |
| Sylow | C313 ⋊ #106 |
36 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,313|a^2=d,b^2=c,c^2=e,b^a=bc,c^a=ce,f^a=f^25,f^d=f^312638 conjugacy classes — view the full character table.
| maximal subgroup of | #34095068, #34095069, #34095076, … |
| maximal normal subgroup of | #34095068, #34095069, #34095076, … |
| maximal quotient of | #34095013, #34095014, #34095026, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 214);