Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099100 |
| Fitting | C2×C4×Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179657, #34254273, #34254392, … |
| maximal normal subgroup of | #34179657, #34254273, #34254392, … |
| maximal quotient of | C2×#23765796, C2×#23765841, C2×#23765861, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17779);