Finite Group Databasebeta

← Group #10848590

Character table — Group #10848590

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order122222344444444666121212121212121212121212444444444444446612121212121212121212121212121212121212121212246688881212121212122424242424242424222244442288
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
χ511111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ1311111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222-222-2-2-2-2-22222222-2-2-2-2-2-2-2-22-200000000000022-2-222-2-2000000000000000000000000000000000000002-22-200000000
χ182222222-222-2-2-2-2-22222222-2-2-2-2-2-2-2-22-200000000000022-2-222-2-200000000000000000000000000000000000000-22-2200000000
χ192222222-2-2-222-2-2-2222-2-2-2-22222-2-2-2-2-2200000000000022-2-2-2-222000000000000000000000000000000000000002-2-2200000000
χ202222222-2-2-222-2-2-2222-2-2-2-22222-2-2-2-2-2200000000000022-2-2-2-22200000000000000000000000000000000000000-222-200000000
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
χ25222222-12-2-2-2-2222-1-1-111111111-1-1-1-1-2-222222222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-21122-2-2-1-1-1-111-1-1-1-11111000000000000
χ26222222-12-2-2-2-2222-1-1-111111111-1-1-1-1-2-22222-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-211-2-222-1-1-1-1111111-1-1-1-1000000000000
χ27222222-12-2-2-2-2222-1-1-111111111-1-1-1-1-2-2-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-1-1-2-2221111-1-11111-1-1-1-1000000000000
χ28222222-12-2-2-2-2222-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-1-122-2-21111-1-1-1-1-1-11111000000000000
χ292222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2222-2-200000000-2-222-2-22200000000000000002-222000022-2-2-2-200000000000000000000
χ302222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-2-22200000000-2-222-2-2220000000000000000-22-2-20000-2-2222200000000000000000000
χ312222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22-222-2-200000000-2-22222-2-20000000000000000-22-2-2000022-2-22200000000000000000000
χ322222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22-2-2-22200000000-2-22222-2-200000000000000002-2220000-2-222-2-200000000000000000000
χ332222-2-22-2222222-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002-22-20000
χ342222-2-22-2222222-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-22-220000
χ352222-2-22-2-2-2-2-222-2222-2-2-2-2-2-2-2-2222222000000000000-2-2-2-222220000000000000000000000000000000000000000002-2-220000
χ362222-2-22-2-2-2-2-222-2222-2-2-2-2-2-2-2-2222222000000000000-2-2-2-22222000000000000000000000000000000000000000000-222-20000
χ372222-2-2-1222-2-2-2-22-1-1-1-1-1-1-111111111-2222-2-20000000011-1-111-1-13333−3−3−3−33333−3−3−3−32-2-1-10000-1-1111133−3−333−3−3000000000000
χ382222-2-2-1222-2-2-2-22-1-1-1-1-1-1-111111111-2222-2-20000000011-1-111-1-1−3−3−3−33333−3−3−3−333332-2-1-10000-1-11111−3−333−3−333000000000000
χ392222-2-2-1222-2-2-2-22-1-1-1-1-1-1-111111111-22-2-2220000000011-1-111-1-13333−3−3−3−33333−3−3−3−3-2211000011-1-1-1-1−3−333−3−333000000000000
χ402222-2-2-1222-2-2-2-22-1-1-1-1-1-1-111111111-22-2-2220000000011-1-111-1-1−3−3−3−33333−3−3−3−33333-2211000011-1-1-1-133−3−333−3−3000000000000
χ412222-2-2-12-2-222-2-22-1-1-11111-1-1-1-111112-222-2-20000000011-1-1-1-1113333−3−3−3−3−3−3−3−33333-22110000-1-111-1-133−3−3−3−333000000000000
χ422222-2-2-12-2-222-2-22-1-1-11111-1-1-1-111112-222-2-20000000011-1-1-1-111−3−3−3−333333333−3−3−3−3-22110000-1-111-1-1−3−33333−3−3000000000000
χ432222-2-2-12-2-222-2-22-1-1-11111-1-1-1-111112-2-2-2220000000011-1-1-1-1113333−3−3−3−3−3−3−3−333332-2-1-1000011-1-111−3−33333−3−3000000000000
χ442222-2-2-12-2-222-2-22-1-1-11111-1-1-1-111112-2-2-2220000000011-1-1-1-111−3−3−3−333333333−3−3−3−32-2-1-1000011-1-11133−3−3−3−333000000000000
χ4522-2-22-22200002-2-22-2-20000000022-2-2002i−2i2i−2i000022-2-22-22-200000000000022-2-222-2-20000002i−2i2i−2i2i−2i0000002i−2i2i−2i000000000000
χ4622-2-22-22200002-2-22-2-20000000022-2-2002i−2i2i−2i0000-2-2222-22-2000000000000-2-222-2-222000000−2i2i2i−2i2i−2i000000−2i2i−2i2i000000000000
χ4722-2-22-22200002-2-22-2-20000000022-2-200−2i2i−2i2i000022-2-22-22-200000000000022-2-222-2-2000000−2i2i−2i2i−2i2i000000−2i2i−2i2i000000000000
χ4822-2-22-22200002-2-22-2-20000000022-2-200−2i2i−2i2i0000-2-2222-22-2000000000000-2-222-2-2220000002i−2i−2i2i−2i2i0000002i−2i2i−2i000000000000
χ4922-2-22-2-1200002-2-2-11133−3−333−3−3-1-111002i−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
χ5022-2-22-2-1200002-2-2-11133−3−333−3−3-1-111002i−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
χ5122-2-22-2-1200002-2-2-11133−3−333−3−3-1-11100−2i2i−2i2i000022-2-2-11-113−33−333−3−333−3−3-1-111-1-11100i3−i300−2i2ii−ii−ii3−i3i3−i3i3−i3i−ii−i000000000000
χ5222-2-22-2-1200002-2-2-11133−3−333−3−3-1-11100−2i2i−2i2i0000-2-222-11-113−33−3−3−333−3−33311-1-111-1-100i3−i3002i−2ii−ii−ii3−i3−i3i3−i3i3−ii−ii000000000000
χ5322-2-22-2-1200002-2-2-111−3−333−3−333-1-111002i−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
χ5422-2-22-2-1200002-2-2-111−3−333−3−333-1-111002i−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
χ5522-2-22-2-1200002-2-2-111−3−333−3−333-1-11100−2i2i−2i2i000022-2-2-11-11−33−33−3−333−3−333-1-111-1-11100−i3i300−2i2ii−ii−i−i3i3−i3i3−i3i3i−ii−i000000000000
χ5622-2-22-2-1200002-2-2-111−3−333−3−333-1-11100−2i2i−2i2i0000-2-222-11-11−33−3333−3−333−3−311-1-111-1-100−i3i3002i−2ii−ii−i−i3i3i3−i3i3−i3−ii−ii000000000000
χ5722-2-2-22220000-22-22-2-200000000-2-222002i−2i−2i2i22-2-20000-222-2000022-2-2-2-2220000000000002i−2i002i−2i−2i2i00−2i2i2i−2i0000000000000000
χ5822-2-2-22220000-22-22-2-200000000-2-222002i−2i−2i2i-2-2220000-222-20000-2-22222-2-2000000000000−2i2i002i−2i−2i2i002i−2i−2i2i0000000000000000
χ5922-2-2-22220000-22-22-2-200000000-2-22200−2i2i2i−2i22-2-20000-222-2000022-2-2-2-222000000000000−2i2i00−2i2i2i−2i002i−2i−2i2i0000000000000000
χ6022-2-2-22220000-22-22-2-200000000-2-22200−2i2i2i−2i-2-2220000-222-20000-2-22222-2-20000000000002i−2i00−2i2i2i−2i00−2i2i2i−2i0000000000000000
χ6122-2-2-22-120000-22-2-11133−3−3−3−33311-1-1002i−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
χ6222-2-2-22-120000-22-2-11133−3−3−3−33311-1-1002i−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
χ6322-2-2-22-120000-22-2-11133−3−3−3−33311-1-100−2i2i2i−2i22-2-200001-1-11−333−3-1-11111-1-1−3−33333−3−300i3−i3−2i2i00i−i−ii−i3i3−iii−ii3−i3−i3i3000000000000
χ6422-2-2-22-120000-22-2-11133−3−3−3−33311-1-100−2i2i2i−2i-2-22200001-1-11−333−311-1-1-1-11133−3−3−3−33300i3−i32i−2i00i−i−ii−i3i3i−i−ii−i3i3i3−i3000000000000
χ6522-2-2-22-120000-22-2-111−3−33333−3−311-1-1002i−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
χ6622-2-2-22-120000-22-2-111−3−33333−3−311-1-1002i−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
χ6722-2-2-22-120000-22-2-111−3−33333−3−311-1-100−2i2i2i−2i22-2-200001-1-113−3−33-1-11111-1-133−3−3−3−33300−i3i3−2i2i00i−i−iii3−i3−iii−i−i3i3i3−i3000000000000
χ6822-2-2-22-120000-22-2-111−3−33333−3−311-1-100−2i2i2i−2i-2-22200001-1-113−3−3311-1-1-1-111−3−33333−3−300−i3i32i−2i00i−i−iii3−i3i−i−iii3−i3−i3i3000000000000
χ69444444-2-444-4-4-4-4-4-2-2-2-2-2-2-2222222224-4000000000000-2-222-2-22200000000000000000000000000000000000000000000000000
χ70444444-2-4-4-444-4-4-4-2-2-22222-2-2-2-22222-44000000000000-2-22222-2-200000000000000000000000000000000000000000000000000
χ714444-4-4-2-4444444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-40000000000002222222200000000000000000000000000000000000000000000000000
χ724444-4-4-2-4-4-4-4-444-4-2-2-222222222-2-2-2-2440000000000002222-2-2-2-200000000000000000000000000000000000000000000000000
χ7344-4-44-44-40000-4444-4-400000000-4-444000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ7444-4-44-4-2-40000-444-2222323−23−23−23−23232322-2-200000000000000-222-223−23−232300000000000000000000000000000000000000000000000000
χ7544-4-44-4-2-40000-444-222−23−2323232323−23−2322-2-200000000000000-222-2−232323−2300000000000000000000000000000000000000000000000000
χ7644-4-4-444-400004-444-4-40000000044-4-400000000000000-44-44000000000000000000000000000000000000000000000000000000
χ7744-4-4-44-2-400004-44-2222323−23−232323−23−23-2-222000000000000002-22-2−2323−232300000000000000000000000000000000000000000000000000
χ7844-4-4-44-2-400004-44-222−23−232323−23−232323-2-222000000000000002-22-223−2323−2300000000000000000000000000000000000000000000000000
χ794-44-40040004-4000-44-400004-44-400000000002-22-22-22-2000000002-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ804-44-40040004-4000-44-400004-44-40000000000-22-22-22-2200000000-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ814-44-4004000-44000-44-40000-44-4400000000002-22-2-22-22000000002-22-22-22-2-22-22-22-220000000000000000000000000000000000
χ824-44-4004000-44000-44-40000-44-440000000000-22-222-22-200000000-22-22-22-222-22-22-22-20000000000000000000000000000000000
χ834-44-400-20004-40002-2223−2323−23-22-2223−2323−230000002-22-22-22-200000000−1+31−3−1+31−3−1−31+3−1−31+3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000000000
χ844-44-400-20004-40002-2223−2323−23-22-2223−2323−23000000-22-22-22-22000000001−3−1+31−3−1+31+3−1−31+3−1−31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000000000
χ854-44-400-20004-40002-22−2323−2323-22-22−2323−23230000002-22-22-22-200000000−1−31+3−1−31+3−1+31−3−1+31−3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000000000
χ864-44-400-20004-40002-22−2323−2323-22-22−2323−2323000000-22-22-22-22000000001+3−1−31+3−1−31−3−1+31−3−1+31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000000000
χ874-44-400-2000-440002-2223−2323−232-22-2−2323−23230000002-22-2-22-2200000000−1−31+3−1−31+3−1+31−3−1+31−31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000000000
χ884-44-400-2000-440002-2223−2323−232-22-2−2323−2323000000-22-222-22-2000000001+3−1−31+3−1−31−3−1+31−3−1+3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000000000
χ894-44-400-2000-440002-22−2323−23232-22-223−2323−230000002-22-2-22-2200000000−1+31−3−1+31−3−1−31+3−1−31+31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000000000
χ904-44-400-2000-440002-22−2323−23232-22-223−2323−23000000-22-222-22-2000000001−3−1+31−3−1+31+3−1−31+3−1−3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000000000
χ914-4-4400404-400000-4-444-4-44000000000000002-2-222-2-22000000002-2-22-222-22-2-222-2-220000000000000000000000000000000000
χ924-4-4400404-400000-4-444-4-4400000000000000-222-2-222-200000000-222-22-2-22-222-2-222-20000000000000000000000000000000000
χ934-4-440040-4400000-4-44-444-4000000000000002-2-22-222-2000000002-2-22-222-2-222-2-222-20000000000000000000000000000000000
χ944-4-440040-4400000-4-44-444-400000000000000-222-22-2-2200000000-222-22-2-222-2-222-2-220000000000000000000000000000000000
χ954-4-4400-204-40000022-2-222-223−23−2323−232323−230000002-2-222-2-2200000000−1+31−31−3−1+31+3−1−3−1−31+3−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000000000000000000
χ964-4-4400-204-40000022-2-222-223−23−2323−232323−23000000-222-2-222-2000000001−3−1+3−1+31−3−1−31+31+3−1−31−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000000000000000000
χ974-4-4400-204-40000022-2-222-2−232323−2323−23−23230000002-2-222-2-2200000000−1−31+31+3−1−31−3−1+3−1+31−3−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000000000000000000
χ984-4-4400-204-40000022-2-222-2−232323−2323−23−2323000000-222-2-222-2000000001+3−1−3−1−31+3−1+31−31−3−1+31+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000000000000000000
χ994-4-4400-20-440000022-22-2-2223−23−232323−23−23230000002-2-22-222-200000000−1−31+31+3−1−31−3−1+3−1+31−31+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000000000000000000
χ1004-4-4400-20-440000022-22-2-2223−23−232323−23−2323000000-222-22-2-22000000001+3−1−3−1−31+3−1+31−31−3−1+3−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000000000000000000
χ1014-4-4400-20-440000022-22-2-22−232323−23−232323−230000002-2-22-222-200000000−1+31−31−3−1+31+3−1−3−1−31+31−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000000000000000000
χ1024-4-4400-20-440000022-22-2-22−232323−23−232323−23000000-222-22-2-22000000001−3−1+3−1+31−3−1−31+31+3−1−3−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000000000000000000

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