Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#19098434 |
| Fitting | C22×C4⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#385 |
1232 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34183647, #34183667, C4×#19098434, … |
| maximal normal subgroup of | #34183647, #34183667, C4×#19098434, … |
| maximal quotient of | C2×(C2×D79)⋊#95, C2×#23761631, C2×#23761632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6919);