Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C313 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,313|a^2=d,b^2=c,d^2=e,b^a=bc,f^a=f^25,f^b=f^312,f^d=f^312644 conjugacy classes — view the full character table.
| maximal subgroup of | #34095010, #34095011, #34095012, … |
| maximal normal subgroup of | #34095010, #34095011, #34095012, … |
| maximal quotient of | #34095014, #34095016, #34095018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 213);