Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097540 |
| Sylow | C313 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
2516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34093877, #34094003, C4×#19097540, … |
| maximal normal subgroup of | #34093877, #34094003, C4×#19097540, … |
| maximal quotient of | C2×#23756404, C4×#19097540, #34094010, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 100);