Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C313 ⋊ #131 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,313|a^2=d,d^2=e,f^a=f^25,c^b=ce,f^b=f^312,f^c=f^312,f^d=f^312410 conjugacy classes — view the full character table.
| maximal subgroup of | #34095195, #34095196, #34095197, … |
| maximal normal subgroup of | #34095195, #34095196, #34095197, … |
| maximal quotient of | #34095117, #34095127, #34095159, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 234);