Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #366×D79 |
| Fitting | #366×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#366 |
168 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 77 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 | #1415×D79, #1416×D79, #34208705, … |
| maximal normal subgroup of | #1415×D79, #1416×D79, #34208705, … |
| maximal quotient of | #1371×D79, #34199909, #34199948, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6285);