Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1252 |
| Sylow | C313 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
2510 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34093955, #34093957, #34093967, … |
| maximal normal subgroup of | #34093955, #34093957, #34093967, … |
| maximal quotient of | C2×#23756422, C2×#23756431, C4×Dic1252, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 164);