Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19098398 |
| Fitting | C2×D16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #34208840, C4×#19098398, #34208869, … |
| maximal normal subgroup of | #34208840, C4×#19098398, #34208869, … |
| maximal quotient of | C2×#23761577, C2×#23761578, C2×#23761599, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6807);