Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099245 |
| Fitting | C2×#125×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 | #34254471, #34254501, #34448164, … |
| maximal normal subgroup of | #34254471, #34254501, #34448164, … |
| maximal quotient of | C2×#23766253, C2×#23766255, C2×#23766266, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18014);