Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099373 |
| Fitting | C2×AGL(1,ℤ/8)×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
902 conjugacy classes — view the full character table.
| maximal subgroup of | #34304181, #34304205, #34304257, … |
| maximal normal subgroup of | #34304181, #34304205, #34304257, … |
| maximal quotient of | C2×#23771925, C2×#23771931, C2×#23771994, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19269);