Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C16×Dic158 |
| Sylow | C79 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175745, #34175747, C16×#11929612, … |
| maximal normal subgroup of | #34175745, #34175747, C16×#11929612, … |
| maximal quotient of | C16×C4⋊Dic79, C16×Dic79⋊C4, #34205883, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6413);