Finite Group DatabasebetaFinite Group Databasebeta| order | 1696 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊Dic53 |
| Sylow | C53 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 848 |
436 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16810389, #16810390, C4×C22⋊Dic53, … |
| maximal normal subgroup of | #16810389, #16810390, C4×C22⋊Dic53, … |
| maximal quotient of | C2×#13133124, C4×C22⋊Dic53, #16810479, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1696, 98);