Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#124×D79 |
| Fitting | C2×#124×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×#124 |
1880 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179734, #34203756, #34203773, … |
| maximal normal subgroup of | #34179734, #34203756, #34203773, … |
| maximal quotient of | C2×#382×D79, C2×#388×D79, C2×#390×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17755);