Finite Group Databasebeta

← Group #283155

Character table — Group #283155

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-111-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ101111111111111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111111-1-1-1-11111-1
χ172222222222-2-22-2-220000-2-2222222-2-20000-2-2-2-2000000000000000200000000000
χ182222222222-2-22-2-220000-2-22222-2-222000022-2-2000000000000000-200000000000
χ192222222222-2-22-2-220000-2-2-2-2-2-222-2-200002222000000000000000-200000000000
χ202222222222-2-22-2-220000-2-2-2-2-2-2-2-2220000-2-222000000000000000200000000000
χ2122222222-2-222-222-22222-2-20000000022-2-2000022-2-200000000-200000000000000
χ2222222222-2-222-222-22222-2-200000000-2-2-2-20000-2-22200000000200000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-20000000022220000-2-22200000000-200000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-200000000-2-222000022-2-200000000200000000000000
χ252-22-22-22-2002-202-2022-2-200i2i2−i2−i200002-20000i2−i22-200i2i2−i2−i2i2i2−i2−i2000000000000i2−i20
χ262-22-22-22-2002-202-2022-2-200i2i2−i2−i20000-220000i2−i2-2200i2i2−i2−i2−i2−i2i2i2000000000000−i2i20
χ272-22-22-22-2002-202-2022-2-200−i2−i2i2i200002-20000−i2i22-200−i2−i2i2i2−i2−i2i2i2000000000000−i2i20
χ282-22-22-22-2002-202-2022-2-200−i2−i2i2i20000-220000−i2i2-2200−i2−i2i2i2i2i2−i2−i2000000000000i2−i20
χ292-22-22-22-2002-202-20-2-22200i2i2−i2−i200002-20000i2−i2-2200−i2−i2i2i2−i2−i2i2i2000000000000i2−i20
χ302-22-22-22-2002-202-20-2-22200i2i2−i2−i20000-220000i2−i22-200−i2−i2i2i2i2i2−i2−i2000000000000−i2i20
χ312-22-22-22-2002-202-20-2-22200−i2−i2i2i200002-20000−i2i2-2200i2i2−i2−i2i2i2−i2−i2000000000000−i2i20
χ322-22-22-22-2002-202-20-2-22200−i2−i2i2i20000-220000−i2i22-200i2i2−i2−i2−i2−i2i2i2000000000000i2−i20
χ332-2-2-222-222222-2-2-2-20000-2200002i−2i2i−2i0000000000002i−2i2i−2i00000000002-20000000
χ342-2-2-222-222222-2-2-2-20000-2200002i−2i2i−2i000000000000−2i2i−2i2i0000000000-220000000
χ352-2-2-222-222222-2-2-2-20000-220000−2i2i−2i2i0000000000002i−2i2i−2i0000000000-220000000
χ362-2-2-222-222222-2-2-2-20000-220000−2i2i−2i2i000000000000−2i2i−2i2i00000000002-20000000
χ372-2-2-222-2222-2-2-222-22-22-22-200002i−2i−2i2i002-2000000000000000000002i−2i000000000
χ382-2-2-222-2222-2-2-222-22-22-22-20000−2i2i2i−2i002-200000000000000000000−2i2i000000000
χ392-2-2-222-2222-2-2-222-2-22-222-200002i−2i−2i2i00-2200000000000000000000−2i2i000000000
χ402-2-2-222-2222-2-2-222-2-22-222-20000−2i2i2i−2i00-22000000000000000000002i−2i000000000
χ412-2-2-222-22-2-2-2-222222-22-2-220000000000-22000000000000000002-2000002-200000
χ422-2-2-222-22-2-2-2-222222-22-2-220000000000-2200000000000000000-2200000-2200000
χ432-2-2-222-22-2-2-2-22222-22-22-2200000000002-2000000000000000002-200000-2200000
χ442-2-2-222-22-2-2-2-22222-22-22-2200000000002-200000000000000000-22000002-200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-444-400400-40000000000000000004-400000000000000000000000000000
χ47444-4-4-4-444-400400-4000000000000000000-4400000000000000000000000000000
χ48444-4-4-4-44-4400-4004000000000000000000000000000000000000000000002i2−2i2000
χ49444-4-4-4-44-4400-400400000000000000000000000000000000000000000000−2i22i2000
χ5044-444-4-4-4004-40-4400000000000000000000000000022−22−22220000000000000000000
χ5144-444-4-4-4004-40-44000000000000000000000000000−222222−220000000000000000000
χ5244-444-4-4-400-4404-404-4-44000000000000000000000000000000000000000000000
χ5344-444-4-4-400-4404-40-444-4000000000000000000000000000000000000000000000
χ5444-4-4-444-4000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ5544-4-4-444-4000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ5644-4-4-444-400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ5744-4-4-444-400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ584-44-44-44-400-440-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ594-44-44-44-400-440-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ604-4-44-4-4444-400-40040000004-4-44000000000000000000000000000000000000000
χ614-4-44-4-4444-400-4004000000-444-4000000000000000000000000000000000000000
χ624-4-44-4-444-4400400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ634-4-44-4-444-4400400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ644-4-4-444-44-4-4444-4-4400004-40000000000000000000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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