Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C4×(C2×D79)⋊C4 |
| Fitting | C22×C42×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19098286, #34178780, #34180923, … |
| maximal normal subgroup of | C4×#19098286, #34178780, #34180923, … |
| maximal quotient of | C2×C4×C79⋊#95, C42×(C2×D79)⋊C4, C2×(C2×D79)⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6841);