Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D79 |
| Fitting | C22×SD16×C79 ⋊ C2 |
| Sylow | C79 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
1127 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D4×SD16×D79, C2×SD16×C22⋊D79, #35163558, … |
| maximal normal subgroup of | D4×SD16×D79, C2×SD16×C22⋊D79, #35163558, … |
| maximal quotient of | #34277732, #34277737, #34277747, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 16200);