Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D4×#11929411 |
| Fitting | D4×C313 ⋊ C4 |
| Sylow | C313 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
410 conjugacy classes — view the full character table.
| maximal subgroup of | D8×#11929411, SD16×#11929411, #34095191, … |
| maximal normal subgroup of | D8×#11929411, SD16×#11929411, #34095191, … |
| maximal quotient of | C22⋊C4×#11929411, C4⋊C4×#11929411, #34095099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 226);