Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14579144 |
| Fitting | C22×C42×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34182956, #34182966, C4×#19098752, … |
| maximal normal subgroup of | #34182956, #34182966, C4×#19098752, … |
| maximal quotient of | C4×#19098442, C4×#19098454, C4×#19098436, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7032);