Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099268 |
| Fitting | C22×C4⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#554 |
1200 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179956, #34254569, #34254575, … |
| maximal normal subgroup of | #34179956, #34254569, #34254575, … |
| maximal quotient of | C2×#23766273, C2×#23766277, C2×C4⋊C4×C22⋊D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18039);