Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097571 |
| Sylow | C313 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | #34095022, #34095028, #34095035, … |
| maximal normal subgroup of | #34095022, #34095028, #34095035, … |
| maximal quotient of | C2×#23756552, C4×#19097571, C2×#23756554, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 232);