Finite Group Databasebeta

← Group #317038

Character table — Group #317038

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444444488888888888888224444448888888888888244488884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ611111111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-111-1-1-11-11
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1
χ9111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ10111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1
χ12111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111111111-1-1-1-11-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-11111-1-1-1-11111-111-1
χ172222222222-2-2-2-2-2000000002222-2-222-2-222-2-2-2000000000000000000000000
χ182222222222-2-2-2-2-2000000002222-2-2-2-222-2-222-2000000000000000000000000
χ192222222222-2-2-2-2-200000000-2-2-2-22222-2-2-2-2222000000000000000000000000
χ202222222222-2-2-2-2-200000000-2-2-2-222-2-22222-2-22000000000000000000000000
χ21222222-2-2-2-2-2-22-222i2i2i2i−2i−2i−2i−2i000000000000000000000000000002-2002i−2i0000
χ22222222-2-2-2-2-2-22-222i2i2i2i−2i−2i−2i−2i00000000000000000000000000000-2200−2i2i0000
χ23222222-2-2-2-2-2-22-22−2i−2i−2i−2i2i2i2i2i000000000000000000000000000002-200−2i2i0000
χ24222222-2-2-2-2-2-22-22−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000-22002i−2i0000
χ252222-2-222-2-2-2-2-2222i2i−2i−2i2i2i−2i−2i0000000000000000000000000002-2002i−2i000000
χ262222-2-222-2-2-2-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000000-2200−2i2i000000
χ272222-2-222-2-2-2-2-222−2i−2i2i2i−2i−2i2i2i0000000000000000000000000002-200−2i2i000000
χ282222-2-222-2-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000000-22002i−2i000000
χ292222-2-2-2-22222-2-2222-2-2-2-22222-2-22200000000-20000000022-2-2000000000000
χ302222-2-2-2-22222-2-2222-2-2-2-222-2-222-2-200000000200000000-2-222000000000000
χ312222-2-2-2-22222-2-22-2-22222-2-222-2-22200000000-200000000-2-222000000000000
χ322222-2-2-2-22222-2-22-2-22222-2-2-2-222-2-20000000020000000022-2-2000000000000
χ332222-2-2-2-222-2-222-20000000022-2-2-2-20000000022i2i−2i−2i2i2i−2i−2i0000000000000000
χ342222-2-2-2-222-2-222-20000000022-2-2-2-2000000002−2i−2i2i2i−2i−2i2i2i0000000000000000
χ352222-2-2-2-222-2-222-200000000-2-2222200000000-22i2i−2i−2i−2i−2i2i2i0000000000000000
χ362222-2-2-2-222-2-222-200000000-2-2222200000000-2−2i−2i2i2i2i2i−2i−2i0000000000000000
χ3722-2-22-22-22-2000002−22−22−22−22i−2i2i−2i00002i−2i002-20i2−i2i2−i22−22−2i2−i2i2−i2000000000000
χ3822-2-22-22-22-2000002−22−22−22−22i−2i2i−2i0000−2i2i00-220−i2i2−i2i2−22−22i2−i2i2−i2000000000000
χ3922-2-22-22-22-2000002−22−22−22−2−2i2i−2i2i00002i−2i00-220i2−i2i2−i2−22−22−i2i2−i2i2000000000000
χ4022-2-22-22-22-2000002−22−22−22−2−2i2i−2i2i0000−2i2i002-20−i2i2−i2i22−22−2−i2i2−i2i2000000000000
χ4122-2-22-22-22-200000−22−22−22−222i−2i2i−2i00002i−2i002-20−i2i2−i2i2−22−22−i2i2−i2i2000000000000
χ4222-2-22-22-22-200000−22−22−22−222i−2i2i−2i0000−2i2i00-220i2−i2i2−i22−22−2−i2i2−i2i2000000000000
χ4322-2-22-22-22-200000−22−22−22−22−2i2i−2i2i00002i−2i00-220−i2i2−i2i22−22−2i2−i2i2−i2000000000000
χ4422-2-22-22-22-200000−22−22−22−22−2i2i−2i2i0000−2i2i002-20i2−i2i2−i2−22−22i2−i2i2−i2000000000000
χ4522-2-2-22-222-2000002−2−22−222−22i−2i−2i2i002-2002i−2i0002−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ4622-2-2-22-222-2000002−2−22−222−22i−2i−2i2i00-2200−2i2i000−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ4722-2-2-22-222-2000002−2−22−222−2−2i2i2i−2i002-200−2i2i0002−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ4822-2-2-22-222-2000002−2−22−222−2−2i2i2i−2i00-22002i−2i000−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ4922-2-2-22-222-200000−222−22−2−222i−2i−2i2i002-2002i−2i000−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ5022-2-2-22-222-200000−222−22−2−222i−2i−2i2i00-2200−2i2i0002−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ5122-2-2-22-222-200000−222−22−2−22−2i2i2i−2i002-200−2i2i000−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ5222-2-2-22-222-200000−222−22−2−22−2i2i2i−2i00-22002i−2i0002−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ53444444-4-4-4-444-44-400000000000000000000000000000000000000000000000
χ544444-4-444-4-4444-4-400000000000000000000000000000000000000000000000
χ5544-4-44-4-44-44000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ5644-4-44-4-44-4400000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ5744-4-4-444-4-44000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ5844-4-4-444-4-4400000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ598-88-8000000000000000000000004i2−4i2000000000000000000000000000000000
χ608-88-800000000000000000000000−4i24i2000000000000000000000000000000000
χ618-8-880000008i−8i00000000000000000000000000000000000000000000000000
χ628-8-88000000−8i8i00000000000000000000000000000000000000000000000000

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