Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22 |
| direct product | #347×D79 |
| Fitting | #347×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#347 |
168 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 87 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 | #1355×D79, #1356×D79, #34199444, … |
| maximal normal subgroup of | #1355×D79, #1356×D79, #34199444, … |
| maximal quotient of | #1313×D79, #34197268, #34197310, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6110);