Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099248 |
| Fitting | C22×C4⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#552 |
1124 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179966, #34254498, #34254506, … |
| maximal normal subgroup of | #34179966, #34254498, #34254506, … |
| maximal quotient of | C2×#23766256, C2×#23766269, C2×#23766281, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18017);