Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099191 |
| Sylow | C79 ⋊ C2×#544 |
1080 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34180800, #34180803, #34197206, … |
| maximal normal subgroup of | #34180800, #34180803, #34197206, … |
| maximal quotient of | C2×#23766016, C2×#23766020, C2×#23766023, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17908);