Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099185 |
| Fitting | C2×C4×Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#542 |
1132 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179699, #34254310, #34254322, … |
| maximal normal subgroup of | #34179699, #34254310, #34254322, … |
| maximal quotient of | C2×#23766005, C2×#23766038, C2×#23766051, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17889);