Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | SD16×C313 ⋊ C2 |
| Sylow | C313 ⋊ #137 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,313|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,d^b=de,f^c=f^3121103 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #137×D313, C2×#23756526, #34094948, … |
| maximal normal subgroup of | #137×D313, C2×#23756526, #34094948, … |
| maximal quotient of | #34094150, #34094159, #34094191, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 175);