Finite Group Databasebeta

← Group #273864

Character table — Group #273864

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444444444442224444488888888888888888844444888888848
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-1
χ31111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ511111111111111111111-1-11-1-11111-1-111111111-1-111111-1-1-1-11-1-1-1-111-1-1
χ611111111111111111111-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-111
χ711111111111111111111-1-11-1-1-1-111-1-1111111-1-111-1-1-1-1-11-1-11-1-1-1-11-1-111
χ811111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1-11-1111111-1-1
χ9111111111111-1-11-1-111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1111-1
χ10111111111111-1-11-1-111-111-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-1-1-11
χ11111111111111-1-11-1-111-111-111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-11-1-1-11
χ12111111111111-1-11-1-111-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111-1
χ13111111111111-1-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-111111-11
χ14111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-11111-1-11111111-111-1-11-1-11-1-11-1
χ15111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-111111-111-1-1-11-1
χ16111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1111111-1-1-111-11
χ172222222-222-2222-222-2-2-200-20022000000000022000000-20000-200000000
χ182222222-222-2222-222-2-2-200-200-2-20000000000-2-200000020000200000000
χ192222222-222-22-2-2-2-2-2-2-2200200220000000000-2-2000000-20000200000000
χ202222222-222-22-2-2-2-2-2-2-2200200-2-200000000002200000020000-200000000
χ21222222-2-2-2-2-2-200200-2202-202-2000000002i2i−2i−2i0000000000000002i−2i00000
χ22222222-2-2-2-2-2-200200-2202-202-200000000−2i−2i2i2i000000000000000−2i2i00000
χ23222222-2-2-2-2-2-200200-220-220-22000000002i2i−2i−2i000000000000000−2i2i00000
χ24222222-2-2-2-2-2-200200-220-220-2200000000−2i−2i2i2i0000000000000002i−2i00000
χ252222-2-222-2-222222-2-2-2-2200-200000000000000002200000200-20000-20000
χ262222-2-222-2-222222-2-2-2-2200-20000000000000000-2-200000-2002000020000
χ272222-2-222-2-222-2-2222-2-2-200200000000000000002200000-20020000-20000
χ282222-2-222-2-222-2-2222-2-2-20020000000000000000-2-200000200-2000020000
χ292222-2-22-2-2-2-2222-2-2-222-22-22-2200000000000000000000002-20000000000
χ302222-2-22-2-2-2-2222-2-2-222-2-2222-20000000000000000000000-220000000000
χ312222-2-22-2-2-2-22-2-2-2222222-2-2-220000000000000000000000-220000000000
χ322222-2-22-2-2-2-22-2-2-222222-22-22-200000000000000000000002-20000000000
χ332222-2-2-22222-200-200-220220-2-2002222-2-2000000000000000000-20000000
χ342222-2-2-22222-200-200-220220-2-200-2-2-2-22200000000000000000020000000
χ352222-2-2-22222-200-200-220-2-20220022-2-2-2-200000000000000000020000000
χ362222-2-2-22222-200-200-220-2-202200-2-22222000000000000000000-20000000
χ3722-2-22-2-202-2022i−2i02i−2i000000002i−2i2−2002−2i2−i2i2−i22-20022−2−20000000000i2−i200
χ3822-2-22-2-202-2022i−2i02i−2i000000002i−2i−2200−22−i2i2−i2i22-200−2−2220000000000−i2i200
χ3922-2-22-2-202-2022i−2i02i−2i00000000−2i2i2−2002−2i2−i2i2−i2-2200−2−2220000000000−i2i200
χ4022-2-22-2-202-2022i−2i02i−2i00000000−2i2i−2200−22−i2i2−i2i2-220022−2−20000000000i2−i200
χ4122-2-22-2-202-202−2i2i0−2i2i000000002i−2i2−2002−2−i2i2−i2i2-2200−2−2220000000000i2−i200
χ4222-2-22-2-202-202−2i2i0−2i2i000000002i−2i−2200−22i2−i2i2−i2-220022−2−20000000000−i2i200
χ4322-2-22-2-202-202−2i2i0−2i2i00000000−2i2i2−2002−2−i2i2−i2i22-20022−2−20000000000−i2i200
χ4422-2-22-2-202-202−2i2i0−2i2i00000000−2i2i−2200−22i2−i2i2−i22-200−2−2220000000000i2−i200
χ45444444-44-4-44-400-4004-40000000000000000000000000000000000000000
χ464444-4-4-4-444-4-4004004-40000000000000000000000000000000000000000
χ4744-4-44-440-440-400000000000000000000022−22−22220000000000000000000000
χ4844-4-44-440-440-4000000000000000000000−222222−220000000000000000000000
χ4944-4-4-44404-40-400000000000000022−2200−222200000000000000000000000000
χ5044-4-4-44404-40-4000000000000000−22220022−2200000000000000000000000000
χ5144-4-4-44-40-44044i−4i0−4i4i000000000000000000000000000000000000000000
χ5244-4-4-44-40-4404−4i4i04i−4i000000000000000000000000000000000000000000
χ534-44-4000-40040000000000000000002i2−2i20000000022−222i−2i2i−2i00000000000000
χ544-44-4000-40040000000000000000002i2−2i200000000−2222−2i2i−2i2i00000000000000
χ554-44-4000-4004000000000000000000−2i22i20000000022−22−2i2i−2i2i00000000000000
χ564-44-4000-4004000000000000000000−2i22i200000000−22222i−2i2i−2i00000000000000
χ578-88-8000800-8000000000000000000000000000000000000000000000000
χ588-8-8800000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ598-8-880000000000000000000000000000000000000−2i22i22i2−2i200000000000000

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