Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2504 |
| Fitting | C2×C8×C313 ⋊ C2 |
| Sylow | C313 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
2510 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34093952, #34093954, #34093964, … |
| maximal normal subgroup of | #34093952, #34093954, #34093964, … |
| maximal quotient of | C2×#23756419, C2×#23756431, C4×D2504, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 157);