Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×D13⋊#108 |
| unambiguous semidirect product | D13⋊(C2×#108) |
| Sylow | C13 ⋊ C22×#108 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
152 conjugacy classes — view the full character table.
| maximal subgroup of | #16785706, #16785710, #16785719, … |
| maximal normal subgroup of | #16785706, #16785710, #16785719, … |
| maximal quotient of | C2×D13⋊#334, C2×D13⋊#335, C2×#13130383, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21167);