Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097548 |
| Fitting | C2×Q8×C313 ⋊ C2 |
| Sylow | C313 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1574 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34094237, C4×#19097548, #34094250, … |
| maximal normal subgroup of | #34094237, C4×#19097548, #34094250, … |
| maximal quotient of | C2×#23756417, C2×#23756421, C2×#23756428, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 159);