Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D313 |
| Fitting | C2×Q8×C313 ⋊ C2 |
| Sylow | C313 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
1580 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D313, #103×D313, #34094159, … |
| maximal normal subgroup of | #101×D313, #103×D313, #34094159, … |
| maximal quotient of | C2×C4⋊C4×D313, C4×Q8×D313, C2×#23756462, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 185);