Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C313 ⋊ C4 |
| Sylow | C313 ⋊ #97 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,313|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^25,f^d=f^312644 conjugacy classes — view the full character table.
| maximal subgroup of | #34095042, #34095043, C2×#23756551, … |
| maximal normal subgroup of | #34095042, #34095043, C2×#23756551, … |
| maximal quotient of | #34094993, #34094994, #34095017, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 200);