Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#14579149 |
| Fitting | C43×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#124 |
652 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34176236, #34176309, #34176312, … |
| maximal normal subgroup of | #34176236, #34176309, #34176312, … |
| maximal quotient of | C4×#19098454, C4×#19098465, C4×#19098469, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7054);