Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×Dic13 |
| Sylow | C13 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | Dic13×#455, #15868807, Dic13×#456, … |
| maximal normal subgroup of | Dic13×#455, #15868807, Dic13×#456, … |
| maximal quotient of | #137×#1055, #15832515, #15832538, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13331);