Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#14578816 |
| Sylow | C313 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,313|a^2=d,d^2=e,b^a=bc,f^a=f^25,f^d=f^312644 conjugacy classes — view the full character table.
| maximal subgroup of | #34094995, #34094996, #34094997, … |
| maximal normal subgroup of | #34094995, #34094996, #34094997, … |
| maximal quotient of | #34094995, #34094997, D4⋊#14578816, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 202);