Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099372 |
| Fitting | C2×#137×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
902 conjugacy classes — view the full character table.
| maximal subgroup of | #34304178, #34304208, #34304260, … |
| maximal normal subgroup of | #34304178, #34304208, #34304260, … |
| maximal quotient of | C2×#23771924, C2×#23771932, C2×#23771994, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19268);