Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#14579119 |
| Fitting | C4×C4⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#117 |
752 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34177795, #34177799, #34177843, … |
| maximal normal subgroup of | #34177795, #34177799, #34177843, … |
| maximal quotient of | C4×#19098408, C4×#19098410, C4×C4⋊C4×Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6850);