Finite Group Databasebeta

← Group #10848599

Character table — Group #10848599

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order122222344444444666121212121212121212121212444444444444446612121212121212121212121212121212121212121212246688881212121212122424242424242424444444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ91111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ121111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ131111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1
χ141111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11-1-11
χ151111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ161111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ17222222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22-200000000000022-2-222-2-20000000000000000000000000000000000000000002-22-20000
χ18222222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22-200000000000022-2-222-2-2000000000000000000000000000000000000000000-22-220000
χ192222222-2-222-2-2-2-2222-2-2-2-22222-2-2-2-2-2200000000000022-2-2-2-2220000000000000000000000000000000000000000002-2-220000
χ202222222-2-222-2-2-2-2222-2-2-2-22222-2-2-2-2-2200000000000022-2-2-2-222000000000000000000000000000000000000000000-222-20000
χ21222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000
χ23222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-211111111111111000000000000
χ24222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2112222111111-1-1-1-1-1-1-1-1000000000000
χ25222222-1-2-2-2-22222-1-1-111111111-1-1-1-1-2-222222222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-21122-2-2-1-1-1-111-1-1-1-11111000000000000
χ26222222-1-2-2-2-22222-1-1-111111111-1-1-1-1-2-22222-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-211-2-222-1-1-1-1111111-1-1-1-1000000000000
χ27222222-1-2-2-2-22222-1-1-111111111-1-1-1-1-2-2-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-1-1-2-2221111-1-11111-1-1-1-1000000000000
χ28222222-1-2-2-2-22222-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-1-122-2-21111-1-1-1-1-1-11111000000000000
χ292222-2-222222-222-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002-22-200000000
χ302222-2-222222-222-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-22-2200000000
χ312222-2-2222-2-22-2-222222222-2-2-2-2-2-2-2-2-2222-2-200000000-2-222-2-22200000000000000002-222000022-2-2-2-200000000000000000000
χ322222-2-2222-2-22-2-222222222-2-2-2-2-2-2-2-2-22-2-22200000000-2-222-2-2220000000000000000-22-2-20000-2-2222200000000000000000000
χ332222-2-22-2-2222-2-22222-2-2-2-22222-2-2-2-22-222-2-200000000-2-22222-2-20000000000000000-22-2-2000022-2-22200000000000000000000
χ342222-2-22-2-2222-2-22222-2-2-2-22222-2-2-2-22-2-2-22200000000-2-22222-2-200000000000000002-2220000-2-222-2-200000000000000000000
χ352222-2-22-2-2-2-2-222-2222-2-2-2-2-2-2-2-2222222000000000000-2-2-2-22222000000000000000000000000000000000000002-2-2200000000
χ362222-2-22-2-2-2-2-222-2222-2-2-2-2-2-2-2-2222222000000000000-2-2-2-2222200000000000000000000000000000000000000-222-200000000
χ372222-2-2-122-2-22-2-22-1-1-1-1-1-1-111111111-2222-2-20000000011-1-111-1-13333−3−3−3−33333−3−3−3−32-2-1-10000-1-1111133−3−333−3−3000000000000
χ382222-2-2-122-2-22-2-22-1-1-1-1-1-1-111111111-2222-2-20000000011-1-111-1-1−3−3−3−33333−3−3−3−333332-2-1-10000-1-11111−3−333−3−333000000000000
χ392222-2-2-122-2-22-2-22-1-1-1-1-1-1-111111111-22-2-2220000000011-1-111-1-13333−3−3−3−33333−3−3−3−3-2211000011-1-1-1-1−3−333−3−333000000000000
χ402222-2-2-122-2-22-2-22-1-1-1-1-1-1-111111111-22-2-2220000000011-1-111-1-1−3−3−3−33333−3−3−3−33333-2211000011-1-1-1-133−3−333−3−3000000000000
χ412222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-111112-222-2-20000000011-1-1-1-1113333−3−3−3−3−3−3−3−33333-22110000-1-111-1-133−3−3−3−333000000000000
χ422222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-111112-222-2-20000000011-1-1-1-111−3−3−3−333333333−3−3−3−3-22110000-1-111-1-1−3−33333−3−3000000000000
χ432222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-111112-2-2-2220000000011-1-1-1-1113333−3−3−3−3−3−3−3−333332-2-1-1000011-1-111−3−33333−3−3000000000000
χ442222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-111112-2-2-2220000000011-1-1-1-111−3−3−3−333333333−3−3−3−32-2-1-1000011-1-11133−3−3−3−333000000000000
χ452-2-222-22000022-2-22-2-20000000022-2-2002i−2i2i−2i000022-2-22-22-200000000000022-2-222-2-20000002i−2i2i−2i2i−2i0000002i−2i2i−2i000000000000
χ462-2-222-22000022-2-22-2-20000000022-2-2002i−2i2i−2i0000-2-2222-22-2000000000000-2-222-2-222000000−2i2i2i−2i2i−2i000000−2i2i−2i2i000000000000
χ472-2-222-22000022-2-22-2-20000000022-2-200−2i2i−2i2i000022-2-22-22-200000000000022-2-222-2-2000000−2i2i−2i2i−2i2i000000−2i2i−2i2i000000000000
χ482-2-222-22000022-2-22-2-20000000022-2-200−2i2i−2i2i0000-2-2222-22-2000000000000-2-222-2-2220000002i−2i−2i2i−2i2i0000002i−2i2i−2i000000000000
χ492-2-222-2-1000022-2-2-11133−3−333−3−3-1-111002i−2i2i−2i000022-2-2-11-113−33−333−3−333−3−3-1-111-1-11100−i3i3002i−2i−ii−ii−i3i3−i3i3−i3i3−ii−ii000000000000
χ502-2-222-2-1000022-2-2-11133−3−333−3−3-1-111002i−2i2i−2i0000-2-222-11-113−33−3−3−333−3−33311-1-111-1-100−i3i300−2i2i−ii−ii−i3i3i3−i3i3−i3i−ii−i000000000000
χ512-2-222-2-1000022-2-2-11133−3−333−3−3-1-11100−2i2i−2i2i000022-2-2-11-113−33−333−3−333−3−3-1-111-1-11100i3−i300−2i2ii−ii−ii3−i3i3−i3i3−i3i−ii−i000000000000
χ522-2-222-2-1000022-2-2-11133−3−333−3−3-1-11100−2i2i−2i2i0000-2-222-11-113−33−3−3−333−3−33311-1-111-1-100i3−i3002i−2ii−ii−ii3−i3−i3i3−i3i3−ii−ii000000000000
χ532-2-222-2-1000022-2-2-111−3−333−3−333-1-111002i−2i2i−2i000022-2-2-11-11−33−33−3−333−3−333-1-111-1-11100i3−i3002i−2i−ii−iii3−i3i3−i3i3−i3−ii−ii000000000000
χ542-2-222-2-1000022-2-2-111−3−333−3−333-1-111002i−2i2i−2i0000-2-222-11-11−33−3333−3−333−3−311-1-111-1-100i3−i300−2i2i−ii−iii3−i3−i3i3−i3i3i−ii−i000000000000
χ552-2-222-2-1000022-2-2-111−3−333−3−333-1-11100−2i2i−2i2i000022-2-2-11-11−33−33−3−333−3−333-1-111-1-11100−i3i300−2i2ii−ii−i−i3i3−i3i3−i3i3i−ii−i000000000000
χ562-2-222-2-1000022-2-2-111−3−333−3−333-1-11100−2i2i−2i2i0000-2-222-11-11−33−3333−3−333−3−311-1-111-1-100−i3i3002i−2ii−ii−i−i3i3i3−i3i3−i3−ii−ii000000000000
χ572-2-22-22200002-22-22-2-200000000-2-222002i−2i−2i2i22-2-20000-222-2000022-2-2-2-2220000000000002i−2i002i−2i−2i2i00−2i2i2i−2i0000000000000000
χ582-2-22-22200002-22-22-2-200000000-2-222002i−2i−2i2i-2-2220000-222-20000-2-22222-2-2000000000000−2i2i002i−2i−2i2i002i−2i−2i2i0000000000000000
χ592-2-22-22200002-22-22-2-200000000-2-22200−2i2i2i−2i22-2-20000-222-2000022-2-2-2-222000000000000−2i2i00−2i2i2i−2i002i−2i−2i2i0000000000000000
χ602-2-22-22200002-22-22-2-200000000-2-22200−2i2i2i−2i-2-2220000-222-20000-2-22222-2-20000000000002i−2i00−2i2i2i−2i00−2i2i2i−2i0000000000000000
χ612-2-22-22-100002-22-2-11133−3−3−3−33311-1-1002i−2i−2i2i22-2-200001-1-11−333−3-1-11111-1-1−3−33333−3−300−i3i32i−2i00−iii−ii3−i3i−i−ii−i3i3i3−i3000000000000
χ622-2-22-22-100002-22-2-11133−3−3−3−33311-1-1002i−2i−2i2i-2-22200001-1-11−333−311-1-1-1-11133−3−3−3−33300−i3i3−2i2i00−iii−ii3−i3−iii−ii3−i3−i3i3000000000000
χ632-2-22-22-100002-22-2-11133−3−3−3−33311-1-100−2i2i2i−2i22-2-200001-1-11−333−3-1-11111-1-1−3−33333−3−300i3−i3−2i2i00i−i−ii−i3i3−iii−ii3−i3−i3i3000000000000
χ642-2-22-22-100002-22-2-11133−3−3−3−33311-1-100−2i2i2i−2i-2-22200001-1-11−333−311-1-1-1-11133−3−3−3−33300i3−i32i−2i00i−i−ii−i3i3i−i−ii−i3i3i3−i3000000000000
χ652-2-22-22-100002-22-2-111−3−33333−3−311-1-1002i−2i−2i2i22-2-200001-1-113−3−33-1-11111-1-133−3−3−3−33300i3−i32i−2i00−iii−i−i3i3i−i−iii3−i3−i3i3000000000000
χ662-2-22-22-100002-22-2-111−3−33333−3−311-1-1002i−2i−2i2i-2-22200001-1-113−3−3311-1-1-1-111−3−33333−3−300i3−i3−2i2i00−iii−i−i3i3−iii−i−i3i3i3−i3000000000000
χ672-2-22-22-100002-22-2-111−3−33333−3−311-1-100−2i2i2i−2i22-2-200001-1-113−3−33-1-11111-1-133−3−3−3−33300−i3i3−2i2i00i−i−iii3−i3−iii−i−i3i3i3−i3000000000000
χ682-2-22-22-100002-22-2-111−3−33333−3−311-1-100−2i2i2i−2i-2-22200001-1-113−3−3311-1-1-1-111−3−33333−3−300−i3i32i−2i00i−i−iii3−i3i−i−iii3−i3−i3i3000000000000
χ69444444-244-4-4-4-4-4-4-2-2-2-2-2-2-2222222224-4000000000000-2-222-2-22200000000000000000000000000000000000000000000000000
χ70444444-2-4-444-4-4-4-4-2-2-22222-2-2-2-22222-44000000000000-2-22222-2-200000000000000000000000000000000000000000000000000
χ714444-4-4-24444-444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-40000000000002222222200000000000000000000000000000000000000000000000000
χ724444-4-4-2-4-4-4-4-444-4-2-2-222222222-2-2-2-2440000000000002222-2-2-2-200000000000000000000000000000000000000000000000000
χ7344-4-4004004-40000-44-400004-44-400000000002-22-22-22-2000000002-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ7444-4-4004004-40000-44-400004-44-40000000000-22-22-22-2200000000-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ7544-4-400400-440000-44-40000-44-4400000000002-22-2-22-22000000002-22-22-22-2-22-22-22-220000000000000000000000000000000000
χ7644-4-400400-440000-44-40000-44-440000000000-22-222-22-200000000-22-22-22-222-22-22-22-20000000000000000000000000000000000
χ7744-4-400-2004-400002-2223−2323−23-22-2223−2323−230000002-22-22-22-200000000−1+31−3−1+31−3−1−31+3−1−31+3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000000000
χ7844-4-400-2004-400002-2223−2323−23-22-2223−2323−23000000-22-22-22-22000000001−3−1+31−3−1+31+3−1−31+3−1−31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000000000
χ7944-4-400-2004-400002-22−2323−2323-22-22−2323−23230000002-22-22-22-200000000−1−31+3−1−31+3−1+31−3−1+31−3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000000000
χ8044-4-400-2004-400002-22−2323−2323-22-22−2323−2323000000-22-22-22-22000000001+3−1−31+3−1−31−3−1+31−3−1+31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000000000
χ8144-4-400-200-4400002-2223−2323−232-22-2−2323−23230000002-22-2-22-2200000000−1−31+3−1−31+3−1+31−3−1+31−31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000000000
χ8244-4-400-200-4400002-2223−2323−232-22-2−2323−2323000000-22-222-22-2000000001+3−1−31+3−1−31−3−1+31−3−1+3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000000000
χ8344-4-400-200-4400002-22−2323−23232-22-223−2323−230000002-22-2-22-2200000000−1+31−3−1+31−3−1−31+3−1−31+31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000000000
χ8444-4-400-200-4400002-22−2323−23232-22-223−2323−23000000-22-222-22-2000000001−3−1+31−3−1+31+3−1−31+3−1−3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000000000
χ854-44-40044-4000000-4-444-4-44000000000000002-2-222-2-22000000002-2-22-222-22-2-222-2-220000000000000000000000000000000000
χ864-44-40044-4000000-4-444-4-4400000000000000-222-2-222-200000000-222-22-2-22-222-2-222-20000000000000000000000000000000000
χ874-44-4004-44000000-4-44-444-4000000000000002-2-22-222-2000000002-2-22-222-2-222-2-222-20000000000000000000000000000000000
χ884-44-4004-44000000-4-44-444-400000000000000-222-22-2-2200000000-222-22-2-222-2-222-2-220000000000000000000000000000000000
χ894-44-400-24-400000022-2-222-223−23−2323−232323−230000002-2-222-2-2200000000−1+31−31−3−1+31+3−1−3−1−31+3−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000000000000000000
χ904-44-400-24-400000022-2-222-223−23−2323−232323−23000000-222-2-222-2000000001−3−1+3−1+31−3−1−31+31+3−1−31−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000000000000000000
χ914-44-400-24-400000022-2-222-2−232323−2323−23−23230000002-2-222-2-2200000000−1−31+31+3−1−31−3−1+3−1+31−3−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000000000000000000
χ924-44-400-24-400000022-2-222-2−232323−2323−23−2323000000-222-2-222-2000000001+3−1−3−1−31+3−1+31−31−3−1+31+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000000000000000000
χ934-44-400-2-4400000022-22-2-2223−23−232323−23−23230000002-2-22-222-200000000−1−31+31+3−1−31−3−1+3−1+31−31+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000000000000000000
χ944-44-400-2-4400000022-22-2-2223−23−232323−23−2323000000-222-22-2-22000000001+3−1−3−1−31+3−1+31−31−3−1+3−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000000000000000000
χ954-44-400-2-4400000022-22-2-22−232323−23−232323−230000002-2-22-222-200000000−1+31−31−3−1+31+3−1−3−1−31+31−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000000000000000000
χ964-44-400-2-4400000022-22-2-22−232323−23−232323−23000000-222-22-2-22000000001−3−1+3−1+31−3−1−31+31+3−1−3−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000000000000000000
χ974-4-444-440000-4-4444-4-400000000-4-444000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ984-4-444-4-20000-4-444-2222323−23−23−23−23232322-2-200000000000000-222-223−23−232300000000000000000000000000000000000000000000000000
χ994-4-444-4-20000-4-444-222−23−2323232323−23−2322-2-200000000000000-222-2−232323−2300000000000000000000000000000000000000000000000000
χ1004-4-44-4440000-44-444-4-40000000044-4-400000000000000-44-44000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-20000-44-44-2222323−23−232323−23−23-2-222000000000000002-22-2−2323−232300000000000000000000000000000000000000000000000000
χ1024-4-44-44-20000-44-44-222−23−232323−23−232323-2-222000000000000002-22-223−2323−2300000000000000000000000000000000000000000000000000

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