Finite Group DatabasebetaFinite Group Databasebeta| order | 10016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1252 |
| Fitting | C42×C313 ⋊ C2 |
| Sylow | C313 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
2516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34093879, #34093881, #34094217, … |
| maximal normal subgroup of | #34093879, #34093881, #34094217, … |
| maximal quotient of | C4×#19097538, C4×C4⋊Dic313, #34094026, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10016, 110);