Finite Group DatabasebetaFinite Group Databasebeta| order | 1696 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic212 |
| Sylow | C53 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1696 |
430 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16810426, #16810428, #16810438, … |
| maximal normal subgroup of | #16810426, #16810428, #16810438, … |
| maximal quotient of | C2×#13133142, C2×#13133151, C4×Dic212, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1696, 164);