Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic632 |
| Sylow | C79 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
2540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175721, #34175723, #34175727, … |
| maximal normal subgroup of | #34175721, #34175723, #34175727, … |
| maximal quotient of | C8×Dic632, #34200187, #34200261, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6370);