Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14579097 |
| Sylow | C79 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175186, #34175187, #34175189, … |
| maximal normal subgroup of | #34175186, #34175187, #34175189, … |
| maximal quotient of | C4×#19098314, C4×#19098316, #34179458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4412);