Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099247 |
| Fitting | C2×C22⋊Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#552 |
1124 conjugacy classes of subgroups.
1142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179869, #34254472, #34304432, … |
| maximal normal subgroup of | #34179869, #34254472, #34304432, … |
| maximal quotient of | C2×#23766255, C2×#23766268, C2×#23766287, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18016);