Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#19098752 |
| Fitting | C2×#123×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#458 |
794 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 794 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34205534, #34205536, #34205548, … |
| maximal normal subgroup of | #34205534, #34205536, #34205548, … |
| maximal quotient of | C2×#23762384, C2×#23762385, C2×#23762418, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13897);