Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×(C22⋊D79)⋊C4 |
| Fitting | C4×C22⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C42×D4 |
924 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×(C22⋊D79)⋊C4, #34286612, #34286617, … |
| maximal normal subgroup of | C8×(C22⋊D79)⋊C4, #34286612, #34286617, … |
| maximal quotient of | C4×#19098410, C4×C22⋊C4×Dic79, C4×#19098414, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6854);