Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic23 |
| Sylow | C23 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
182 conjugacy classes — view the full character table.
| maximal subgroup of | #15675246, SD32×Dic23, #15675253, … |
| maximal normal subgroup of | #15675246, SD32×Dic23, #15675253, … |
| maximal quotient of | Q16×C23⋊C8, #15672248, #15672294, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 644);