Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic626 |
| Sylow | C313 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
2516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34094056, #34094057, #34094058, … |
| maximal normal subgroup of | #34094056, #34094057, #34094058, … |
| maximal quotient of | C22×#19097540, C22×C4⋊Dic313, C2×C4×Dic626, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 186);