Finite Group Databasebeta

← Group #278330

Character table — Group #278330

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444422444444444888888888888888888888888888444488882488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-11-1
χ611111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-11-11
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11-11
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-11-1
χ9111111111111-1-1111-1-1-1-1-1-1111111-1-111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ10111111111111-1-1111-1-1-1-1-1-1111111-1-111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ11111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-111-1-111
χ12111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11111-1-11111-1-11111-1-111-1-1
χ13111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11
χ14111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-1
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1111111-1-1-1-11111-1-1-1-1-111-1
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1111111-1-1-1-1-1-1-1-111111-1-11
χ17222222-22222-222-2-2-2-2-2-2-2222222-2-2220000-2-2-2000000000000000000000000
χ18222222-22222-222-2-2-2-2-2-2-222-2-2-2-222-2-20000222000000000000000000000000
χ19222222-22222-2-2-2-2-2-22222-2-22222-2-2-2-20000-222000000000000000000000000
χ20222222-22222-2-2-2-2-2-22222-2-2-2-2-2-2222200002-2-2000000000000000000000000
χ212222-2-222-22-22002-2-200000022-2-222002222-200-2-20000-2-20000000000000000
χ222222-2-222-22-22002-2-200000022-2-22200-2-2-2-2-200220000220000000000000000
χ232222-2-222-22-22002-2-2000000-2-222-2-20022-2-2200-2-20000220000000000000000
χ242222-2-222-22-22002-2-2000000-2-222-2-200-2-222200220000-2-20000000000000000
χ252222-2-22-22-22222-22-222-2-2-2-20000000000000000000000000002-2002-2000000
χ262222-2-22-22-22222-22-222-2-2-2-2000000000000000000000000000-2200-22000000
χ272222-2-22-22-222-2-2-22-2-2-222220000000000000000000000000002-200-22000000
χ282222-2-22-22-222-2-2-22-2-2-22222000000000000000000000000000-22002-2000000
χ292222-2-2-22-22-2-200-22200000022-2-2-2-2000000200002i2i−2i−2i002i2i−2i−2i000000000000
χ302222-2-2-22-22-2-200-22200000022-2-2-2-200000020000−2i−2i2i2i00−2i−2i2i2i000000000000
χ312222-2-2-22-22-2-200-222000000-2-22222000000-200002i2i−2i−2i00−2i−2i2i2i000000000000
χ322222-2-2-22-22-2-200-222000000-2-22222000000-20000−2i−2i2i2i002i2i−2i−2i000000000000
χ332222-2-2-2-22-22-2222-22-2-222-2-2000000000000000000000000000002i−2i002i−2i0000
χ342222-2-2-2-22-22-2222-22-2-222-2-200000000000000000000000000000−2i2i00−2i2i0000
χ352222-2-2-2-22-22-2-2-22-2222-2-222000000000000000000000000000002i−2i00−2i2i0000
χ362222-2-2-2-22-22-2-2-22-2222-2-22200000000000000000000000000000−2i2i002i−2i0000
χ372-2-222-202-2-2202-200000002-22-22-2002-2i2−i2i2−i2000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-2-222-202-2-2202-200000002-22-22-2002-2−i2i2−i2i2000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ392-2-222-202-2-2202-200000002-2-22-2200-22i2−i2−i2i2000i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2000000000000
χ402-2-222-202-2-2202-200000002-2-22-2200-22−i2i2i2−i2000−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2000000000000
χ412-2-222-202-2-220-220000000-222-22-200-22i2−i2i2−i2000i2−i2−i2i2−i2i2i2−i2−i2i2−i2i2000000000000
χ422-2-222-202-2-220-220000000-222-22-200-22−i2i2−i2i2000−i2i2i2−i2i2−i2−i2i2i2−i2i2−i2000000000000
χ432-2-222-202-2-220-220000000-22-22-22002-2i2−i2−i2i2000i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000
χ442-2-222-202-2-220-220000000-22-22-22002-2−i2i2i2−i2000−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000
χ452-2-22-22022-2-20000002i−2i2i−2i002-2-220000i2−i2i2−i202i−2i−i2i22−2−22−i2i22−2−22000000000000
χ462-2-22-22022-2-20000002i−2i2i−2i002-2-220000−i2i2−i2i202i−2ii2−i2−222−2i2−i2−222−2000000000000
χ472-2-22-22022-2-20000002i−2i2i−2i00-222-20000i2−i2−i2i20−2i2i−i2i22−2−22i2−i2−222−2000000000000
χ482-2-22-22022-2-20000002i−2i2i−2i00-222-20000−i2i2i2−i20−2i2ii2−i2−222−2−i2i22−2−22000000000000
χ492-2-22-22022-2-2000000−2i2i−2i2i002-2-220000i2−i2i2−i20−2i2i−i2i2−222−2−i2i2−222−2000000000000
χ502-2-22-22022-2-2000000−2i2i−2i2i002-2-220000−i2i2−i2i20−2i2ii2−i22−2−22i2−i22−2−22000000000000
χ512-2-22-22022-2-2000000−2i2i−2i2i00-222-20000i2−i2−i2i202i−2i−i2i2−222−2i2−i22−2−22000000000000
χ522-2-22-22022-2-2000000−2i2i−2i2i00-222-20000−i2i2i2−i202i−2ii2−i22−2−22−i2i2−222−2000000000000
χ534444444-4-4-4-4400-4-44000000000000000000000000000000000000000000000
χ54444444-4-4-4-4-4-40044-4000000000000000000000000000000000000000000000
χ554-4-444-40-444-40000004i−4i−4i4i00000000000000000000000000000000000000000
χ564-4-444-40-444-4000000−4i4i4i−4i00000000000000000000000000000000000000000
χ574-4-44-440-4-44404-40000000-44000000000000000000000000000000000000000
χ584-4-44-440-4-4440-4400000004-4000000000000000000000000000000000000000
χ5988-8-8000000000000000000000004i2−4i2000000000000000000000000000000000
χ6088-8-800000000000000000000000−4i24i2000000000000000000000000000000000
χ618-88-80080000-800000000000000000000000000000000000000000000000000
χ628-88-800-80000800000000000000000000000000000000000000000000000000

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