Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | #518×D79 |
| Fitting | #518×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#518 |
1920 conjugacy classes of subgroups.
1394 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1828×D79, #1829×D79, #1856×D79, … |
| maximal normal subgroup of | #1828×D79, #1829×D79, #1856×D79, … |
| maximal quotient of | #2273×D79, #2274×D79, #2275×D79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17693);