Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19149622 |
| Fitting | C2×Q16×C173 ⋊ C2 |
| Sylow | C173 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1226 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36355412, C4×#19149622, #36355425, … |
| maximal normal subgroup of | #36355412, C4×#19149622, #36355425, … |
| maximal quotient of | C2×#26011291, C2×#26011295, C2×#26011318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 972);