Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C22⋊C4×C313 ⋊ C2 |
| Sylow | C313 ⋊ #124 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,313|b^2=e,c^2=d,b^a=bd,c^a=ce,f^c=f^3121574 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #124×D313, C2×#23756483, #34094679, … |
| maximal normal subgroup of | #124×D313, C2×#23756483, #34094679, … |
| maximal quotient of | #34094016, #34094040, #34094041, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 132);