Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×D13×#108 |
| Fitting | C2×C13×#108 ⋊ C2 |
| Sylow | C13 ⋊ C22×#108 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1381, #15777807, D13×#1382, … |
| maximal normal subgroup of | D13×#1381, #15777807, D13×#1382, … |
| maximal quotient of | C2×D13×#334, C2×D13×#335, D13×#1564, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13111);