Finite Group Databasebeta

← Group #349053

Character table — Group #349053

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222222222224444444444444444444444488888888888888888161616161616161632323232
order12222244444488884444444444488888888888822244444888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-1111111111-1-1-1-11-1-11-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-1111-1-1111111111-1-1-1-11-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1111-1-11111111-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111-1-1111-1-11111111-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-1111-1-1111-1-11-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-111111111-1-111-1-1-11-11
χ12111111111111-1-1-1-1111-1-1111-1-11-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1111111-1-111-1-1111-11-1
χ13111111111111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-111-1-11111-1-11111-1-1-111-1
χ15111111111111-1-1-1-11-1-1-1-11-1-1-1-11-1-1-1-111111111-111-1-111-1-11111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-11-1-1-1-11-1-1-1-11-1-1-1-111111111-111-1-111-1-11111-1-1-1-1-1-11111-1-11-1-11
χ172222222-2222-22222-22200-22200-222-2-222220000-200-20000-2-2-2000000000000000000
χ182222222-2222-22222-2-2-200-2-2-200-222-2-2-2-2-2-2000020020000-222000000000000000000
χ192222222-2222-2-2-2-2-2-22200-22200-2-2-222-2-2-2-20000-200-20000222000000000000000000
χ202222222-2222-2-2-2-2-2-2-2-200-2-2-200-2-2-22222220000200200002-2-2000000000000000000
χ21222222-22-2-2-22000020022-200-2-2-200002i2i−2i−2i00000000200-202i−2i002i2i−2i−2i000000000000
χ22222222-22-2-2-22000020022-200-2-2-20000−2i−2i2i2i00000000200-20−2i2i00−2i−2i2i2i000000000000
χ23222222-22-2-2-220000200-2-2-20022-200002i2i−2i−2i00000000-200202i−2i00−2i−2i2i2i000000000000
χ24222222-22-2-2-220000200-2-2-20022-20000−2i−2i2i2i00000000-20020−2i2i002i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-20000-2000020000200002i2i−2i−2i2i2i−2i−2i02-2002-200−2i2i2i−2i0000000000000000
χ26222222-2-2-2-2-2-20000-2000020000200002i2i−2i−2i−2i−2i2i2i0-2200-2200−2i2i−2i2i0000000000000000
χ27222222-2-2-2-2-2-20000-200002000020000−2i−2i2i2i2i2i−2i−2i0-2200-22002i−2i2i−2i0000000000000000
χ28222222-2-2-2-2-2-20000-200002000020000−2i−2i2i2i−2i−2i2i2i02-2002-2002i−2i−2i2i0000000000000000
χ292222-2-2222-2-220000-22222-2-2-2-2-22000000000000222-2-2-2-22000000000000000000000
χ302222-2-2222-2-220000-222-2-2-2-2-22220000000000002-2-2-2222-2000000000000000000000
χ312222-2-2222-2-220000-2-2-222-222-2-22000000000000-2-2-22-2222000000000000000000000
χ322222-2-2222-2-220000-2-2-2-2-2-222222000000000000-22222-2-2-2000000000000000000000
χ332222-2-22-22-2-2-20000222002-2-200-2000000002i2i−2i−2i-20020000000−2i2i2i−2i2i−2i000000000000
χ342222-2-22-22-2-2-20000222002-2-200-200000000−2i−2i2i2i-200200000002i−2i−2i2i−2i2i000000000000
χ352222-2-22-22-2-2-200002-2-20022200-2000000002i2i−2i−2i200-20000000−2i2i−2i2i−2i2i000000000000
χ362222-2-22-22-2-2-200002-2-20022200-200000000−2i−2i2i2i200-200000002i−2i2i−2i2i−2i000000000000
χ372222-2-2-22-22222222-2002220022-2-2-222000022220000-200-2-200-2-20000000000000000
χ382222-2-2-22-22222222-200-2-2200-2-2-2-2-2220000-2-2-2-200002002-200220000000000000000
χ392222-2-2-22-2222-2-2-2-2-2002220022-222-2-20000-2-2-2-20000-200-2200220000000000000000
χ402222-2-2-22-2222-2-2-2-2-200-2-2200-2-2-222-2-20000222200002002200-2-20000000000000000
χ412222-2-2-2-2-222-2222220000-200002-2-2-2-20000000002-200-220200002-2-22000000000000
χ422222-2-2-2-2-222-2222220000-200002-2-2-2-2000000000-22002-2020000-222-2000000000000
χ432222-2-2-2-2-222-2-2-2-2-220000-20000222220000000002-200-220-20000-222-2000000000000
χ442222-2-2-2-2-222-2-2-2-2-220000-2000022222000000000-22002-20-200002-2-22000000000000
χ4522-2-22-2-2022-2022-2-202i−2i0002i−2i0002-2002i−2i2i−2i0000000000000000000002−22−2i2−i2i2−i20000
χ4622-2-22-2-2022-2022-2-202i−2i0002i−2i0002-2002i−2i2i−2i000000000000000000000−22−22−i2i2−i2i20000
χ4722-2-22-2-2022-2022-2-20−2i2i000−2i2i0002-200−2i2i−2i2i0000000000000000000002−22−2−i2i2−i2i20000
χ4822-2-22-2-2022-2022-2-20−2i2i000−2i2i0002-200−2i2i−2i2i000000000000000000000−22−22i2−i2i2−i20000
χ4922-2-22-2-2022-20-2-22202i−2i0002i−2i000-2200−2i2i−2i2i0000000000000000000002−2−22i2−i2−i2i20000
χ5022-2-22-2-2022-20-2-22202i−2i0002i−2i000-2200−2i2i−2i2i000000000000000000000−222−2−i2i2i2−i20000
χ5122-2-22-2-2022-20-2-2220−2i2i000−2i2i000-22002i−2i2i−2i0000000000000000000002−2−22−i2i2i2−i20000
χ5222-2-22-2-2022-20-2-2220−2i2i000−2i2i000-22002i−2i2i−2i000000000000000000000−222−2i2−i2−i2i20000
χ5344-4-44-440-4-44000000000000000000004-4-44000000000000000000000000000000000
χ5444-4-44-440-4-4400000000000000000000-444-4000000000000000000000000000000000
χ5544-4-4-4440-44-4044-4-400000000000-44000000000000000000000000000000000000000
χ5644-4-4-4440-44-40-4-444000000000004-4000000000000000000000000000000000000000
χ5744-4-4-44-404-440000004i−4i000−4i4i00000000000000000000000000000000000000000000
χ5844-4-4-44-404-44000000−4i4i0004i−4i00000000000000000000000000000000000000000000
χ594-44-40004000-422−2222−220004-40000000022−22000022−2222−2200000000000000000000000000000
χ604-44-40004000-422−2222−22000-440000000022−220000−2222−222200000000000000000000000000000
χ614-44-40004000-4−2222−22220004-400000000−22220000−2222−222200000000000000000000000000000
χ624-44-40004000-4−2222−2222000-4400000000−2222000022−2222−2200000000000000000000000000000
χ634-44-4000-4000422−2222−22000000004i−4i000−222200002i2−2i2−2i22i200000000000000000000000000000
χ644-44-4000-4000422−2222−2200000000−4i4i000−22220000−2i22i22i2−2i200000000000000000000000000000
χ654-44-4000-40004−2222−2222000000004i−4i00022−220000−2i22i22i2−2i200000000000000000000000000000
χ664-44-4000-40004−2222−222200000000−4i4i00022−2200002i2−2i2−2i22i200000000000000000000000000000
χ678-8-880000000042−42−42420000000000000000000000000000000000000000000000000000
χ688-8-8800000000−424242−420000000000000000000000000000000000000000000000000000

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