Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | #103×Dic13 |
| Sylow | C13 ⋊ C4×#103 |
332 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D13×#103, C2×#103×Dic13, C4×#11718465, … |
| maximal normal subgroup of | C4×D13×#103, C2×#103×Dic13, C4×#11718465, … |
| maximal quotient of | Dic13×Q8⋊C8, #15753548, #15753553, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 4332);