Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C2×#19098397 |
| Sylow | C79 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175957, #34175958, #34175959, … |
| maximal normal subgroup of | #34175957, #34175958, #34175959, … |
| maximal quotient of | C2×#23761534, C4×#19098397, C2×C22⋊(C79⋊C32), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6802);