Finite Group Databasebeta

← Group #85458

Character table — Group #85458

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35
size1122233446666666881212121212121212161616242424243232
order12488222244444883622248888122424444466
χ111111111111111111111111111111111111
χ2111111111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-111
χ31111111-1-1111111111-1-1111111111-1-1-1-1-1-1
χ41111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1
χ5111-1-1111-111111-1-1111-111-1-1-1-11-1-11-11-11-1
χ6111-1-1111-1-1-1-1-11-1-1111-1-1-111111-1-1-11-111-1
χ7111-1-111-1111111-1-111-1111-1-1-1-11-1-1-11-11-11
χ8111-1-111-11-1-1-1-11-1-111-11-1-111111-1-11-11-1-11
χ92222222220000222-1-122000000-1-1-10000-1-1
χ102222222-2-20000222-1-1-2-2000000-1-1-1000011
χ11222-2-2222-200002-2-2-1-12-2000000-1110000-11
χ12222-2-222-2200002-2-2-1-1-22000000-11100001-1
χ1322-20022002222-2002200-2-20000-200000000
χ1422-2002200-2-2-2-2-2002200220000-200000000
χ152-202−22-2002i−2i2i−2i02−22-20000i2−i2i2−i202−2000000
χ162-202−22-200−2i2i−2i2i02−22-20000−i2i2−i2i202−2000000
χ172-20−222-2002i−2i2i−2i0−222-20000−i2i2−i2i20−22000000
χ182-20−222-200−2i2i−2i2i0−222-20000i2−i2i2−i20−22000000
χ1933333-1-13311-1-1-1-1-100-1-11-111-1-100011-1-100
χ2033333-1-133-1-111-1-1-100-1-1-11-1-111000-1-11100
χ2133333-1-1-3-311-1-1-1-1-100111-111-1-1000-1-11100
χ2233333-1-1-3-3-1-111-1-1-10011-11-1-11100011-1-100
χ23333-3-3-1-13-311-1-1-11100-111-1-1-1110001-1-1100
χ24333-3-3-1-13-3-1-111-11100-11-1111-1-1000-111-100
χ25333-3-3-1-1-3311-1-1-111001-11-1-1-111000-111-100
χ26333-3-3-1-1-33-1-111-111001-1-1111-1-10001-1-1100
χ2744-40044000000-400-2-200000000200000000
χ284-4022−224-4000000022−22-22000000000−22000000
χ294-40−22224-40000000−2222-220000000002−2000000
χ3066-600-2-20022-2-22000000-220000000000000
χ3166-600-2-200-2-22220000002-20000000000000
χ326-6032−32-22002i−2i−2i2i0−22000000i2−i2−i2i2000000000
χ336-6032−32-2200−2i2i2i−2i0−22000000−i2i2i2−i2000000000
χ346-60−3232-22002i−2i−2i2i02−2000000−i2i2i2−i2000000000
χ356-60−3232-2200−2i2i2i−2i02−2000000i2−i2−i2i2000000000

Here i is the imaginary unit (i² = −1).