Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×C4×#11929624 |
| Fitting | C22×C42×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179643, #34179646, #34193675, … |
| maximal normal subgroup of | #34179643, #34179646, #34193675, … |
| maximal quotient of | C2×C4×#14579120, C2×C4×#14579118, C2×C42×C22⋊D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17690);