Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19149673 |
| Fitting | C2×C42×C173 ⋊ C2 |
| Sylow | C173 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
2780 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351930, #36351933, #36356111, … |
| maximal normal subgroup of | #36351930, #36351933, #36356111, … |
| maximal quotient of | C2×#26011359, C2×#26011375, C2×#26011382, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1074);