Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C313 ⋊ C4 |
| Sylow | C313 ⋊ #99 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,313|a^2=d,b^a=bc,c^a=ce,f^a=f^25,d^b=de,f^b=f^312,f^d=f^312635 conjugacy classes — view the full character table.
| maximal subgroup of | #34095056, #34095057, #34095058, … |
| maximal normal subgroup of | #34095056, #34095057, #34095058, … |
| maximal quotient of | #34094996, #34094997, #34095004, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 205);