Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099098 |
| Fitting | C2×#125×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179742, #34254229, #34254266, … |
| maximal normal subgroup of | #34179742, #34254229, #34254266, … |
| maximal quotient of | C2×#23765793, C2×#23765838, C2×#23765858, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17777);