Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic173 |
| Sylow | C173 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36355412, SD32×Dic173, #36355419, … |
| maximal normal subgroup of | #36355412, SD32×Dic173, #36355419, … |
| maximal quotient of | Q16×#13063436, #36352414, #36352460, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 644);