Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099203 |
| Fitting | C22×C22⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#546 |
1900 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34254449, #34254455, #34254529, … |
| maximal normal subgroup of | #34254449, #34254455, #34254529, … |
| maximal quotient of | C2×C22⋊C4×C22⋊D79, C2×#23766227, C2×#23766243, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17955);