Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097550 |
| Fitting | C2×C8×C313 ⋊ C2 |
| Sylow | C313 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
2510 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34094239, C4×#19097550, #34094251, … |
| maximal normal subgroup of | #34094239, C4×#19097550, #34094251, … |
| maximal quotient of | C2×#23756419, C2×#23756422, C2×#23756429, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 161);