Finite Group Databasebeta

← Group #10697934

Character table — Group #10697934

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222222244444444444444444444444444444444444444161616161616161616161616242424242424242448484848
order12222234444444466612121212444444444466121212121212121212121212121212121212121212121212121244881212121224242424888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ922222222222-2-2-2-22222222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1022222222222-2-2-2-22222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000
χ112222222-2-2-2-222-2-2222-2-2-2-22-20000000022-2-22222-2-2-2-20000000000000000000000000000000000002-200
χ122222222-2-2-2-222-2-2222-2-2-2-22-20000000022-2-22222-2-2-2-2000000000000000000000000000000000000-2200
χ132222222-2-2-2-2-2-222222-2-2-2-2-220000000022-2-2-2-2-2-22222000000000000000000000000000000000000002-2
χ142222222-2-2-2-2-2-222222-2-2-2-2-220000000022-2-2-2-2-2-2222200000000000000000000000000000000000000-22
χ15222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ16222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ17222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-1-1-1-11111000000000000
χ18222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2221111-1-1-1-1000000000000
χ19222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000−i3−i3i3i3−i3−i3i3i3000000000000
χ20222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000i3i3−i3−i3i3i3−i3−i3000000000000
χ21222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000
χ22222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000
χ232222-2-2222-2-22222222-2-2-2-2-2-200000000-2-22222-2-222-2-200000000000000002-2002-22-20000000000000000
χ242222-2-2222-2-22222222-2-2-2-2-2-200000000-2-22222-2-222-2-20000000000000000-2200-22-220000000000000000
χ252222-2-2222-2-2-2-2-2-2222-2-2-2-22200000000-2-222-2-222-2-2220000000000000000002i−2i00002i−2i2i−2i000000000000
χ262222-2-2222-2-2-2-2-2-2222-2-2-2-22200000000-2-222-2-222-2-222000000000000000000−2i2i0000−2i2i−2i2i000000000000
χ272222-2-22-2-22222-2-22222222-2200000000-2-2-2-222-2-2-2-222000000000000000000000000000022-2-200000000
χ282222-2-22-2-22222-2-22222222-2200000000-2-2-2-222-2-2-2-2220000000000000000000000000000-2-22200000000
χ292222-2-22-2-222-2-22222222222-200000000-2-2-2-2-2-22222-2-20000000000000000000000000000000022-2-20000
χ302222-2-22-2-222-2-22222222222-200000000-2-2-2-2-2-22222-2-200000000000000000000000000000000-2-2220000
χ312222-2-2-122-2-22222-1-1-11111-2-20000000011-1-1-1-111-1-1113333−3−3−3−33333−3−3−3−32-200-11-113−3−33000000000000
χ322222-2-2-122-2-22222-1-1-11111-2-20000000011-1-1-1-111-1-1113333−3−3−3−33333−3−3−3−3-22001-11-1−333−3000000000000
χ332222-2-2-122-2-22222-1-1-11111-2-20000000011-1-1-1-111-1-111−3−3−3−33333−3−3−3−333332-200-11-11−333−3000000000000
χ342222-2-2-122-2-22222-1-1-11111-2-20000000011-1-1-1-111-1-111−3−3−3−33333−3−3−3−33333-22001-11-13−3−33000000000000
χ352222-2-2-122-2-2-2-2-2-2-1-1-11111220000000011-1-111-1-111-1-13333−3−3−3−3−3−3−3−33333002i−2i−i3i3i3−i3−ii−ii000000000000
χ362222-2-2-122-2-2-2-2-2-2-1-1-11111220000000011-1-111-1-111-1-13333−3−3−3−3−3−3−3−3333300−2i2ii3−i3−i3i3i−ii−i000000000000
χ372222-2-2-122-2-2-2-2-2-2-1-1-11111220000000011-1-111-1-111-1-1−3−3−3−333333333−3−3−3−3002i−2ii3−i3−i3i3−ii−ii000000000000
χ382222-2-2-122-2-2-2-2-2-2-1-1-11111220000000011-1-111-1-111-1-1−3−3−3−333333333−3−3−3−300−2i2i−i3i3i3−i3i−ii−i000000000000
χ392-2-222-222-22-200002-2-222-2-200000022-2-22-22-2000000000000000022-2-222-2-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ402-2-222-222-22-200002-2-222-2-200000022-2-22-22-2000000000000000022-2-222-2-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ412-2-222-222-22-200002-2-222-2-2000000-2-2222-22-20000000000000000-2-222-2-222000000000000−i2i2−i2i2i2−i2i2−i20000
χ422-2-222-222-22-200002-2-222-2-2000000-2-2222-22-20000000000000000-2-222-2-222000000000000i2−i2i2−i2−i2i2−i2i20000
χ432-2-22-222-222-200002-2-222-2-20022-2-20000-22-220000000022-2-222-2-200000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ442-2-22-222-222-200002-2-222-2-20022-2-20000-22-220000000022-2-222-2-200000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ452-2-22-222-222-200002-2-222-2-200-2-2220000-22-2200000000-2-222-2-22200000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ462-2-22-222-222-200002-2-222-2-200-2-2220000-22-2200000000-2-222-2-22200000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ47444444-2-4-4-4-444-4-4-2-2-222224-400000000-2-222-2-2-2-222220000000000000000000000000000000000000000
χ48444444-2-4-4-4-4-4-444-2-2-22222-4400000000-2-2222222-2-2-2-20000000000000000000000000000000000000000
χ494444-4-4-2-4-44444-4-4-2-2-2-2-2-2-2-44000000002222-2-22222-2-20000000000000000000000000000000000000000
χ504444-4-4-2-4-444-4-444-2-2-2-2-2-2-24-400000000222222-2-2-2-2220000000000000000000000000000000000000000
χ5144-4-40040000004-4-44-40000002-22-22-22-2000000004-4002-22-22-22-22-22-22-22-2000000000000000000000000
χ5244-4-40040000004-4-44-4000000-22-22-22-22000000004-400-22-22-22-22-22-22-22-22000000000000000000000000
χ5344-4-4004000000-44-44-40000002-22-2-22-2200000000-44002-22-22-22-2-22-22-22-22000000000000000000000000
χ5444-4-4004000000-44-44-4000000-22-222-22-200000000-4400-22-22-22-222-22-22-22-2000000000000000000000000
χ5544-4-400-20000004-42-2223−2323−23002-22-22-22-200000023−23-2200−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3000000000000000000000000
χ5644-4-400-20000004-42-2223−2323−2300-22-22-22-2200000023−23-22001−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−3000000000000000000000000
χ5744-4-400-20000004-42-22−2323−2323002-22-22-22-2000000−2323-2200−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3000000000000000000000000
χ5844-4-400-20000004-42-22−2323−232300-22-22-22-22000000−2323-22001+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+3000000000000000000000000
χ5944-4-400-2000000-442-2223−2323−23002-22-2-22-22000000−23232-200−1+31−3−1+31−3−1−31+3−1−31+31−3−1+31−3−1+31+3−1−31+3−1−3000000000000000000000000
χ6044-4-400-2000000-442-2223−2323−2300-22-222-22-2000000−23232-2001−3−1+31−3−1+31+3−1−31+3−1−3−1+31−3−1+31−3−1−31+3−1−31+3000000000000000000000000
χ6144-4-400-2000000-442-22−2323−2323002-22-2-22-2200000023−232-200−1−31+3−1−31+3−1+31−3−1+31−31+3−1−31+3−1−31−3−1+31−3−1+3000000000000000000000000
χ6244-4-400-2000000-442-22−2323−232300-22-222-22-200000023−232-2001+3−1−31+3−1−31−3−1+31−3−1+3−1−31+3−1−31+3−1+31−3−1+31−3000000000000000000000000
χ634-44-400400004-400-4-440000002-2-222-2-2200004-40000002-2-222-2-222-2-222-2-22000000000000000000000000
χ644-44-400400004-400-4-44000000-222-2-222-200004-4000000-222-2-222-2-222-2-222-2000000000000000000000000
χ654-44-40040000-4400-4-440000002-2-22-222-20000-440000002-2-222-2-22-222-2-222-2000000000000000000000000
χ664-44-40040000-4400-4-44000000-222-22-2-220000-44000000-222-2-222-22-2-222-2-22000000000000000000000000
χ674-44-400-200004-40022-223−23−2323002-2-222-2-220000-22000023−23−1+31−31−3−1+3−1−31+31+3−1−3−1+31−31−3−1+3−1−31+31+3−1−3000000000000000000000000
χ684-44-400-200004-40022-223−23−232300-222-2-222-20000-22000023−231−3−1+3−1+31−31+3−1−3−1−31+31−3−1+3−1+31−31+3−1−3−1−31+3000000000000000000000000
χ694-44-400-200004-40022-2−232323−23002-2-222-2-220000-220000−2323−1−31+31+3−1−3−1+31−31−3−1+3−1−31+31+3−1−3−1+31−31−3−1+3000000000000000000000000
χ704-44-400-200004-40022-2−232323−2300-222-2-222-20000-220000−23231+3−1−3−1−31+31−3−1+3−1+31−31+3−1−3−1−31+31−3−1+3−1+31−3000000000000000000000000
χ714-44-400-20000-440022-223−23−2323002-2-22-222-200002-20000−2323−1+31−31−3−1+3−1−31+31+3−1−31−3−1+3−1+31−31+3−1−3−1−31+3000000000000000000000000
χ724-44-400-20000-440022-223−23−232300-222-22-2-2200002-20000−23231−3−1+3−1+31−31+3−1−3−1−31+3−1+31−31−3−1+3−1−31+31+3−1−3000000000000000000000000
χ734-44-400-20000-440022-2−232323−23002-2-22-222-200002-2000023−23−1−31+31+3−1−3−1+31−31−3−1+31+3−1−3−1−31+31−3−1+3−1+31−3000000000000000000000000
χ744-44-400-20000-440022-2−232323−2300-222-22-2-2200002-2000023−231+3−1−3−1−31+31−3−1+3−1+31−3−1−31+31+3−1−3−1+31−31−3−1+3000000000000000000000000
χ754-4-444-44-44-4400004-4-4-4-44400000000004-4-44000000000000000000000000000000000000000000000000
χ764-4-444-4-24-44-40000-222-2-22200000044-4-4-22-220000000000000000-2-222-2-222000000000000000000000000
χ774-4-444-4-24-44-40000-222-2-222000000-4-444-22-22000000000000000022-2-222-2-2000000000000000000000000
χ784-4-444-4-2-44-440000-22222-2-20000000000-222-2000000002323−23−23−23−23232300000000000000000000000000000000
χ794-4-444-4-2-44-440000-22222-2-20000000000-222-200000000−23−2323232323−23−2300000000000000000000000000000000
χ804-4-44-4444-4-4400004-4-4-4-4440000000000-444-4000000000000000000000000000000000000000000000000
χ814-4-44-44-24-4-440000-22222-2-200000000002-2-2200000000000000002323−23−23−23−232323000000000000000000000000
χ824-4-44-44-24-4-440000-22222-2-200000000002-2-220000000000000000−23−2323232323−23−23000000000000000000000000
χ834-4-44-44-2-444-40000-222-2-2220044-4-400002-22-200000000-2-222-2-22200000000000000000000000000000000
χ844-4-44-44-2-444-40000-222-2-22200-4-44400002-22-20000000022-2-222-2-200000000000000000000000000000000

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