Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099120 |
| Sylow | C79 ⋊ C2×#533 |
1168 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179652, #34179654, #34179731, … |
| maximal normal subgroup of | #34179652, #34179654, #34179731, … |
| maximal quotient of | C2×#23765807, C2×#23765877, C2×#23765883, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17801);