Finite Group Databasebeta

← Group #278410

Character table — Group #278410

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222222244444444444448888888888888888888888888816161616161632323232
order12222244444488882244444888888224444888888888888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-11-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-11-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111-111-1-1-11-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111-11-1
χ13111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111111-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1111-1-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1111-1-11-1-11
χ1722222222-2-22200002222-2-2-200000022-2-2-2-22200000000-2-2000000000000000000
χ1822222222-2-22200002222-2-2-2000000-2-2-2-222-2-20000000022000000000000000000
χ1922222222-2-2220000-2-2-2-2-2-2-20000002222-2-2-2-20000000022000000000000000000
χ2022222222-2-2220000-2-2-2-2-2-2-2000000-2-222222200000000-2-2000000000000000000
χ21222222-2-222-2-222220000-22-2-2-2-2-22200000000000000000000000000002i−2i2i−2i0000
χ22222222-2-222-2-222220000-22-2-2-2-2-2220000000000000000000000000000−2i2i−2i2i0000
χ23222222-2-222-2-2-2-2-2-20000-22-22222-2-200000000000000000000000000002i−2i−2i2i0000
χ24222222-2-222-2-2-2-2-2-20000-22-22222-2-20000000000000000000000000000−2i2i2i−2i0000
χ252222-2-22-222-22222200002-2-222-2-2-2-200000000000000000022220000-2-200000000
χ262222-2-22-222-22222200002-2-222-2-2-2-2000000000000000000-2-2-2-200002200000000
χ272222-2-22-222-22-2-2-2-200002-2-2-2-2222200000000000000000022-2-20000-2200000000
χ282222-2-22-222-22-2-2-2-200002-2-2-2-22222000000000000000000-2-22200002-200000000
χ292222-2-2-22222-2222222-2-2-2-22-2-222-2-200-220000-2-222000000000000000000000000
χ302222-2-2-22222-22222-2-222-2-22-2-222-2-2002-2000022-2-2000000000000000000000000
χ312222-2-2-22222-2-2-2-2-222-2-2-2-2222-2-22200-22000022-2-2000000000000000000000000
χ322222-2-2-22222-2-2-2-2-2-2-222-2-2222-2-222002-20000-2-222000000000000000000000000
χ332222-2-2-22-2-22-2000022-2-222-2000000002-2000000002i2i−2i−2i0000002i2i−2i−2i0000000000
χ342222-2-2-22-2-22-2000022-2-222-2000000002-200000000−2i−2i2i2i000000−2i−2i2i2i0000000000
χ352222-2-2-22-2-22-20000-2-22222-200000000-22000000002i2i−2i−2i000000−2i−2i2i2i0000000000
χ362222-2-2-22-2-22-20000-2-22222-200000000-2200000000−2i−2i2i2i0000002i2i−2i−2i0000000000
χ3722-2-22-22200-2-222−2−22-22-20002−22−22−22-200002-22−22−22−22−20000002−22−20000000000
χ3822-2-22-22200-2-222−2−22-22-20002−22−22−2-220000-222−22−2−22−22000000−22−220000000000
χ3922-2-22-22200-2-222−2−2-22-220002−22−22−22-20000-22−22−222−22−2000000−22−220000000000
χ4022-2-22-22200-2-222−2−2-22-220002−22−22−2-2200002-2−22−22−22−220000002−22−20000000000
χ4122-2-22-22200-2-2−2−2222-22-2000−22−22−222-200002-2−22−22−22−22000000−22−220000000000
χ4222-2-22-22200-2-2−2−2222-22-2000−22−22−22-220000-22−22−222−22−20000002−22−20000000000
χ4322-2-22-22200-2-2−2−222-22-22000−22−22−222-20000-222−22−2−22−220000002−22−20000000000
χ4422-2-22-22200-2-2−2−222-22-22000−22−22−22-2200002-22−22−22−22−2000000−22−220000000000
χ4522-2-2-22-2200-2222−2−22-2-22000−222−2−2200002i−2i00−222−2i2−i2−i2i22i−2i0000i2−i2−i2i20000000000
χ4622-2-2-22-2200-2222−2−22-2-22000−222−2−220000−2i2i00−222−2−i2i2i2−i2−2i2i0000−i2i2i2−i20000000000
χ4722-2-2-22-2200-2222−2−2-222-2000−222−2−2200002i−2i002−2−22i2−i2−i2i2−2i2i0000−i2i2i2−i20000000000
χ4822-2-2-22-2200-2222−2−2-222-2000−222−2−220000−2i2i002−2−22−i2i2i2−i22i−2i0000i2−i2−i2i20000000000
χ4922-2-2-22-2200-22−2−2222-2-220002−2−222−200002i−2i002−2−22−i2i2i2−i22i−2i0000−i2i2i2−i20000000000
χ5022-2-2-22-2200-22−2−2222-2-220002−2−222−20000−2i2i002−2−22i2−i2−i2i2−2i2i0000i2−i2−i2i20000000000
χ5122-2-2-22-2200-22−2−222-222-20002−2−222−200002i−2i00−222−2−i2i2i2−i2−2i2i0000i2−i2−i2i20000000000
χ5222-2-2-22-2200-22−2−222-222-20002−2−222−20000−2i2i00−222−2i2−i2−i2i22i−2i0000−i2i2i2−i20000000000
χ53444444-4-4-4-4-4-4000000004-44000000000000000000000000000000000000000000
χ544444-4-44-4-4-4-4400000000-444000000000000000000000000000000000000000000
χ5544-4-44-4-4-400442222−22−220000000−2222−222222−22000000000000000000000000000000000000
χ5644-4-44-4-4-40044−22−222222000000022−2222−22−2222000000000000000000000000000000000000
χ5744-4-4-444-4004-42222−22−22000000022−22−2222−2222000000000000000000000000000000000000
χ5844-4-4-444-4004-4−22−2222220000000−222222−2222−22000000000000000000000000000000000000
χ594-4-4400004-4004i−4i4i−4i00000000000000000000000000000002i2−2i222−2200000000000000
χ604-4-4400004-4004i−4i4i−4i0000000000000000000000000000000−2i22i2−222200000000000000
χ614-4-4400004-400−4i4i−4i4i00000000000000000000000000000002i2−2i2−222200000000000000
χ624-4-4400004-400−4i4i−4i4i0000000000000000000000000000000−2i22i222−2200000000000000
χ638-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000000
χ648-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000000
χ658-8-880000-880000000000000000000000000000000000000000000000000000000

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