Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19098402 |
| Fitting | C2×C32×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
2534 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34208847, C4×#19098402, #34208859, … |
| maximal normal subgroup of | #34208847, C4×#19098402, #34208859, … |
| maximal quotient of | C2×#23761579, C2×#23761582, C2×#23761602, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6812);