Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic626 |
| Sylow | C313 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
2516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34093882, #34093884, C4×#19097549, … |
| maximal normal subgroup of | #34093882, #34093884, C4×#19097549, … |
| maximal quotient of | C4×C4⋊Dic313, C4×#19097540, #34094035, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 112);