Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | #499×D79 |
| Fitting | #499×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#499 |
360 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 145 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
902 conjugacy classes — view the full character table.
| maximal subgroup of | #1363×D79, #34199537, #1366×D79, … |
| maximal normal subgroup of | #1363×D79, #34199537, #1366×D79, … |
| maximal quotient of | #1846×D79, #1941×D79, #1942×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 15010);