Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #442×D79 |
| Fitting | #442×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#442 |
608 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 183 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 | AGL(1,ℤ/16)×D79, C2×#442×D79, #2943×D79, … |
| maximal normal subgroup of | AGL(1,ℤ/16)×D79, C2×#442×D79, #2943×D79, … |
| maximal quotient of | #1580×D79, #1586×D79, #1594×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13299);