Finite Group Databasebeta

← Group #10877233

Character table — Group #10877233

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222234444444466666661212121212121212444444446666121212121212121212121212121212121212121244444444121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222-2-2-2-222222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ22222222222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ23222222222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ24222222222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-10000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-222222-2-2-2-2222222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-211111111-1-1-1-11111-1-1-1-1111122-2-2-2-222-1-1-1-1-1-1-1-1111111110000000000000000
χ3022222222-2-2-2-2-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-211111111-1-1-1-11111-1-1-1-11111-2-22222-2-211111111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3322222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-222-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-222-2-2221111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ372222-2-2-2-222-2-2222-2-20000222-2-2-2-22222-2-2-2-22-200000022-2-222-2-20000000000000000000000000000000000000000000000002−22−22−22−2
χ382222-2-2-2-222-2-2222-2-20000222-2-2-2-22222-2-2-2-22-200000022-2-222-2-2000000000000000000000000000000000000000000000000−22−22−22−22
χ392222-2-2-2-222-2-22-2-2220000222-2-2-2-2-2-2-2-22222-2200000022-2-2-2-2220000000000000000000000000000000000000000000000002−22−2−22−22
χ402222-2-2-2-222-2-22-2-2220000222-2-2-2-2-2-2-2-22222-2200000022-2-2-2-222000000000000000000000000000000000000000000000000−22−222−22−2
χ412222-2-2-2-2-2-222222-2-20000222-2-2-2-22222-2-2-2-2-22000000-2-222-2-2220000000000000000000000000000000000000000000000002−2−222−2−22
χ422222-2-2-2-2-2-222222-2-20000222-2-2-2-22222-2-2-2-2-22000000-2-222-2-222000000000000000000000000000000000000000000000000−222−2−222−2
χ432222-2-2-2-2-2-2222-2-2220000222-2-2-2-2-2-2-2-222222-2000000-2-22222-2-20000000000000000000000000000000000000000000000002−2−22−222−2
χ442222-2-2-2-2-2-2222-2-2220000222-2-2-2-2-2-2-2-222222-2000000-2-22222-2-2000000000000000000000000000000000000000000000000−222−22−2−22
χ4522-2-222-2-22-22-22000022-2-22-2-22-22-200000000002-200002-22-2000022-2-222-2-2000000002-22-200002-22-200002-22-200000000000000000000
χ4622-2-222-2-22-22-22000022-2-22-2-22-22-200000000002-200002-22-2000022-2-222-2-200000000-22-220000-22-220000-22-2200000000000000000000
χ4722-2-222-2-22-22-220000-2-2222-2-22-22-20000000000-2200002-22-20000-2-222-2-2220000000000002i−2i2i−2i00002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ4822-2-222-2-22-22-220000-2-2222-2-22-22-20000000000-2200002-22-20000-2-222-2-222000000000000−2i2i−2i2i0000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ4922-2-222-2-22-22-2-1000022-2-2-111-11-1133−3−333−3−3002-20000-11-113−33−3-1-111-1-11133−3−333−3−32-22-20000-11-113−3−33-11-113−3−330000000000000000
χ5022-2-222-2-22-22-2-1000022-2-2-111-11-1133−3−333−3−3002-20000-11-113−33−3-1-111-1-11133−3−333−3−3-22-2200001-11-1−333−31-11-1−333−30000000000000000
χ5122-2-222-2-22-22-2-1000022-2-2-111-11-11−3−333−3−333002-20000-11-11−33−33-1-111-1-111−3−333−3−3332-22-20000-11-11−333−3-11-11−333−30000000000000000
χ5222-2-222-2-22-22-2-1000022-2-2-111-11-11−3−333−3−333002-20000-11-11−33−33-1-111-1-111−3−333−3−333-22-2200001-11-13−3−331-11-13−3−330000000000000000
χ5322-2-222-2-22-22-2-10000-2-222-111-11-1133−3−333−3−300-220000-11-113−33−311-1-111-1-1−3−333−3−33300002i−2i2i−2i−i3i3i3−i3−ii−ii−i3i3i3−i3−ii−ii0000000000000000
χ5422-2-222-2-22-22-2-10000-2-222-111-11-1133−3−333−3−300-220000-11-113−33−311-1-111-1-1−3−333−3−3330000−2i2i−2i2ii3−i3−i3i3i−ii−ii3−i3−i3i3i−ii−i0000000000000000
χ5522-2-222-2-22-22-2-10000-2-222-111-11-11−3−333−3−33300-220000-11-11−33−3311-1-111-1-133−3−333−3−300002i−2i2i−2ii3−i3−i3i3−ii−iii3−i3−i3i3−ii−ii0000000000000000
χ5622-2-222-2-22-22-2-10000-2-222-111-11-11−3−333−3−33300-220000-11-11−33−3311-1-111-1-133−3−333−3−30000−2i2i−2i2i−i3i3i3−i3i−ii−i−i3i3i3−i3i−ii−i0000000000000000
χ5722-2-222-2-2-22-222000022-2-22-2-22-22-20000000000-220000-22-22000022-2-2-2-222000000002-2-2200002-22-20000-22-2200000000000000000000
χ5822-2-222-2-2-22-222000022-2-22-2-22-22-20000000000-220000-22-22000022-2-2-2-22200000000-222-20000-22-2200002-22-200000000000000000000
χ5922-2-222-2-2-22-2220000-2-2222-2-22-22-200000000002-20000-22-220000-2-22222-2-20000000000002i−2i−2i2i0000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ6022-2-222-2-2-22-2220000-2-2222-2-22-22-200000000002-20000-22-220000-2-22222-2-2000000000000−2i2i2i−2i00002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ6122-2-222-2-2-22-22-1000022-2-2-111-11-1133−3−333−3−300-2200001-11-1−33−33-1-11111-1-133−3−3−3−3332-2-220000-11-113−3−331-11-1−333−30000000000000000
χ6222-2-222-2-2-22-22-1000022-2-2-111-11-1133−3−333−3−300-2200001-11-1−33−33-1-11111-1-133−3−3−3−333-222-200001-11-1−333−3-11-113−3−330000000000000000
χ6322-2-222-2-2-22-22-1000022-2-2-111-11-11−3−333−3−33300-2200001-11-13−33−3-1-11111-1-1−3−33333−3−32-2-220000-11-11−333−31-11-13−3−330000000000000000
χ6422-2-222-2-2-22-22-1000022-2-2-111-11-11−3−333−3−33300-2200001-11-13−33−3-1-11111-1-1−3−33333−3−3-222-200001-11-13−3−33-11-11−333−30000000000000000
χ6522-2-222-2-2-22-22-10000-2-222-111-11-1133−3−333−3−3002-200001-11-1−33−3311-1-1-1-111−3−33333−3−300002i−2i−2i2ii3−i3−i3i3i−ii−i−i3i3i3−i3−ii−ii0000000000000000
χ6622-2-222-2-2-22-22-10000-2-222-111-11-1133−3−333−3−3002-200001-11-1−33−3311-1-1-1-111−3−33333−3−30000−2i2i2i−2i−i3i3i3−i3−ii−iii3−i3−i3i3i−ii−i0000000000000000
χ6722-2-222-2-2-22-22-10000-2-222-111-11-11−3−333−3−333002-200001-11-13−33−311-1-1-1-11133−3−3−3−33300002i−2i−2i2i−i3i3i3−i3i−ii−ii3−i3−i3i3−ii−ii0000000000000000
χ6822-2-222-2-2-22-22-10000-2-222-111-11-11−3−333−3−333002-200001-11-13−33−311-1-1-1-11133−3−3−3−3330000−2i2i2i−2ii3−i3−i3i3−ii−ii−i3i3i3−i3i−ii−i0000000000000000
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χ732-2-22-222-200002-22-222-22-2-2-22-2-222-22-22-22-220000-2200000000002-22-20000-22-220000000000000000000000000000002i−2i00−2i2i00000000
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χ934-44-4-44-440000400004-4-44-44-4-444-40000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ944-44-4-44-44000040000-444-4-44-4-444-4000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ954-44-4-44-440000-200004-4-442-222-2-2223−23−232323−23−23230000000000000000-222-2000023−23−232300000000000000000000000000000000000000000000
χ964-44-4-44-440000-200004-4-442-222-2-22−232323−23−232323−230000000000000000-222-20000−232323−2300000000000000000000000000000000000000000000
χ974-44-4-44-440000-20000-444-42-222-2-2223−23−232323−23−232300000000000000002-2-220000−232323−2300000000000000000000000000000000000000000000
χ984-44-4-44-440000-20000-444-42-222-2-22−232323−23−232323−2300000000000000002-2-22000023−23−232300000000000000000000000000000000000000000000
χ994-4-444-4-44000044-4-440000-4-4444-4-44-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-4400004-444-40000-4-4444-4-4-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-444-4-440000-24-4-44000022-2-2-222-22-222-22-20000000000000000000023−23−23230000−232323−230000000000000000000000000000000000000000
χ1024-4-444-4-440000-24-4-44000022-2-2-222-22-222-22-200000000000000000000−232323−23000023−23−23230000000000000000000000000000000000000000
χ1034-4-444-4-440000-2-444-4000022-2-2-2222-22-2-22-220000000000000000000023−23−2323000023−23−23230000000000000000000000000000000000000000
χ1044-4-444-4-440000-2-444-4000022-2-2-2222-22-2-22-2200000000000000000000−232323−230000−232323−230000000000000000000000000000000000000000
χ1054-4-44-444-40000-24-44-44-44-422-222-2-2-22-22-22-2200004-40000000000-22-220000-22-2200000000000000000000000000000000000000000000
χ1064-4-44-444-40000-24-44-4-44-4422-222-2-2-22-22-22-220000-4400000000002-22-200002-22-200000000000000000000000000000000000000000000
χ1074-4-44-444-40000-2-44-444-44-422-222-2-22-22-22-22-20000-440000000000-22-2200002-22-200000000000000000000000000000000000000000000
χ1084-4-44-444-40000-2-44-44-44-4422-222-2-22-22-22-22-200004-400000000002-22-20000-22-2200000000000000000000000000000000000000000000

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