Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×#19098463 |
| Fitting | C22×C22⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#390 |
1360 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34187091, #34187109, C4×#19098463, … |
| maximal normal subgroup of | #34187091, #34187109, C4×#19098463, … |
| maximal quotient of | C2×Dic79⋊#95, C2×#23761636, C2×#23761637, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6964);