Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4×Dic79⋊C4 |
| Sylow | C79 ⋊ C2×C4×C4⋊C4 |
928 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19098288, #34178784, #34180927, … |
| maximal normal subgroup of | C4×#19098288, #34178784, #34180927, … |
| maximal quotient of | C2×C4×C79⋊#95, C42×Dic79⋊C4, C2×#23761626, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6846);