Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099135 |
| Fitting | C2×#123×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#536 |
1512 conjugacy classes of subgroups.
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203749, #34289910, #34290078, … |
| maximal normal subgroup of | #34203749, #34289910, #34290078, … |
| maximal quotient of | C2×#23765985, C2×#23765987, C2×#23766019, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17825);