Finite Group Databasebeta

← Group #10733675

Character table — Group #10733675

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order122222222222222236666666666666664444444444444444121212121212121212121212121212121212121212121212224444666612121212121212121212121222224444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111100000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-2-222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-1-1-1-111111111-1-1-1-100000000000000000000
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χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ25222222-2-2-22-2-2-2-22-2222222-2-2-2-222-2-2-2-200002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000022-2-2000000002i−2i00
χ26222222-2-2-22-2-2-2-22-2222222-2-2-2-222-2-2-2-200002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000-2-22200000000−2i2i00
χ27222222-2-2-22-2-2-2-22-2222222-2-2-2-222-2-2-2-20000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000022-2-200000000−2i2i00
χ28222222-2-2-22-2-2-2-22-2222222-2-2-2-222-2-2-2-20000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000-2-222000000002i−2i00
χ292222-2-222-2-22-2-2-2-222222-2-222-2-2-2-222-2-200002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000022-2-2000000002i−2i000000
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χ382222-2-2-2-22-2-2222-2-2-1-1-1-11111-1-11111-1-100002-2-2200002i2i−2i−2i−3−3−3−33333-1-11111-1-1−3−3−3−3333300002i−2ii3i3−i3−i3−i−iiii3i3−i3−i3−i−iii00000000000000000000
χ392222-2-2-2-22-2-2222-2-2-1-1-1-11111-1-11111-1-100002-2-220000−2i−2i2i2i3333−3−3−3−3-1-11111-1-13333−3−3−3−30000−2i2ii3i3−i3−i3ii−i−ii3i3−i3−i3ii−i−i00000000000000000000
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χ412222-2-2-2-22-2-2222-2-2-1-1-1-11111-1-11111-1-10000-222-200002i2i−2i−2i3333−3−3−3−311-1-1-1-111−3−3−3−333330000−2i2ii3i3−i3−i3−i−iii−i3−i3i3i3ii−i−i00000000000000000000
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χ442222-2-2-2-22-2-2222-2-2-1-1-1-11111-1-11111-1-10000-222-20000−2i−2i2i2i−3−3−3−3333311-1-1-1-1113333−3−3−3−300002i−2ii3i3−i3−i3ii−i−i−i3−i3i3i3−i−iii00000000000000000000
χ4522-2-22-22-2222-2-22-2-222-2-22-22-2222-22-2-2-222-2-2000000002i−2i2i−2i22-2-222-2-20000000000000000002i−2i0000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
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χ5022-2-22-22-2222-2-22-2-2-1-111-11-11-1-1-11-111122-2-2000000002i−2i2i−2i-1-111-1-111−33−33−33−33−3−333−3−333002i−2i00i3−i3i3−i3−ii−ii−ii−iii3−i3i3−i300000000000000000000
χ5122-2-22-22-2222-2-22-2-2-1-111-11-11-1-1-11-111122-2-200000000−2i2i−2i2i-1-111-1-1113−33−33−33−333−3−333−3−300−2i2i00i3−i3i3−i3i−ii−ii−ii−ii3−i3i3−i300000000000000000000
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χ5522-2-22-22-2222-2-22-2-2-1-111-11-11-1-1-11-1111-2-22200000000−2i2i−2i2i11-1-111-1-13−33−33−33−3−3−333−3−333002i−2i00−i3i3−i3i3i−ii−i−ii−iii3−i3i3−i300000000000000000000
χ5622-2-22-22-2222-2-22-2-2-1-111-11-11-1-1-11-1111-2-22200000000−2i2i−2i2i11-1-111-1-1−33−33−33−3333−3−333−3−3002i−2i00i3−i3i3−i3i−ii−i−ii−ii−i3i3−i3i300000000000000000000
χ5722-2-2-22-222-2-2-2-222222-2-2-22-2222-22-22-2-20000000022-2-22-2-22000000000000000022-2-2-2-2222-200002-2-222-2-220000000000000000000000000000
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χ5922-2-2-22-222-2-2-2-222222-2-2-22-2222-22-22-2-200000000-2-2222-2-220000000000000000-2-22222-2-2-220000-222-22-2-220000000000000000000000000000
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χ832-2-22-2-2-22-2222-222-22-2-22-2-2-22-22222-22-2-222-2000000000000-222-2-222-20000000000000000000000000000000000000000002-2-22000000-220000
χ842-2-22-2-2-22-2222-222-22-2-22-2-2-22-22222-22-2-222-2000000000000-222-2-222-2000000000000000000000000000000000000000000-222-20000002-20000
χ85444444-4-4-44-4-4-4-44-4-2-2-2-2-2-22222-2-2222200004i4i−4i−4i0000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000
χ86444444-4-4-44-4-4-4-44-4-2-2-2-2-2-22222-2-222220000−4i−4i4i4i00000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000
χ874444-4-444-4-44-4-4-4-44-2-2-2-222-2-22222-2-22200004i−4i4i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ884444-4-444-4-44-4-4-4-44-2-2-2-222-2-22222-2-2220000−4i4i−4i4i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000
χ8944-4-44-4-44-44-444-4-4444-4-44-4-44-4-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-44-4-44-44-444-4-44-2-222-222-222-222-2-2-2000000000000000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000
χ9144-4-44-4-44-44-444-4-44-2-222-222-222-222-2-2-20000000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000
χ9244-4-4-444-4-4-4444-44-444-4-4-444-4-4-4-444-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-444-4-4-4444-44-4-2-2222-2-22222-2-22-2-2000000000000000000000000−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ9444-4-4-444-4-4-4444-44-4-2-2222-2-22222-2-22-2-20000000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ954-44-44-444-4-4-4-4444-44-44-44-444-44-44-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-44-444-4-4-4-4444-4-22-22-22-2-22-22-2222-2000000000000000023−2323−23−2323−23230000000000000000000000000000000000000000000000000000000000
χ974-44-44-444-4-4-4-4444-4-22-22-22-2-22-22-2222-20000000000000000−2323−232323−2323−230000000000000000000000000000000000000000000000000000000000
χ984-44-44-4-4-44-444-4-444-22-22-2222-222-2-2-2-22000000004-44-400000000000000000000-22-22-22-22000000000000000000000000000000000000000000
χ994-44-44-4-4-44-444-4-444-22-22-2222-222-2-2-2-2200000000-44-44000000000000000000002-22-22-22-2000000000000000000000000000000000000000000
χ1004-44-4-444444-44-4-4-4-44-44-4-44444-44-4-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-44-4-444444-44-4-4-4-4-22-222-2-2-2-22-2222-220000000000000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000
χ1024-44-4-444444-44-4-4-4-4-22-222-2-2-2-22-2222-2200000000000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000
χ1034-44-4-44-4-4-444-444-44-22-222-2222-2-22-2-22-24-44-4000000000000-22-22-22-220000000000000000000000000000000000000000000000000000000000
χ1044-44-4-44-4-4-444-444-44-22-222-2222-2-22-2-22-2-44-440000000000002-22-22-22-20000000000000000000000000000000000000000000000000000000000
χ1054-4-44444-4-4-4-44-44-444-4-44444-4-44-4-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-4-44444-4-4-4-44-44-44-222-2-2-2-222-2222-2-22000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000000000
χ1074-4-44444-4-4-4-44-44-44-222-2-2-2-222-2222-2-220000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000
χ1084-4-4444-444-44-44-4-4-44-4-4444-444-4-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-4444-444-44-44-4-4-4-222-2-2-22-2-2222-222-20000000000000000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000
χ1104-4-4444-444-44-44-4-4-4-222-2-2-22-2-2222-222-200000000000000000000000000000000−232323−23−232323−23000000000000000000000000000000000000000000
χ1114-4-44-4-44-444-4-44-444-222-222-22-22-2-22-22-2000000004-4-4400000000000000000000-222-22-2-22000000000000000000000000000000000000000000
χ1124-4-44-4-44-444-4-44-444-222-222-22-22-2-22-22-200000000-444-4000000000000000000002-2-22-222-2000000000000000000000000000000000000000000
χ1134-4-44-4-4-44-4444-444-4-222-2222-22-2-2-2-22-224-4-44000000000000-222-2-222-20000000000000000000000000000000000000000000000000000000000
χ1144-4-44-4-4-44-4444-444-4-222-2222-22-2-2-2-22-22-444-40000000000002-2-222-2-220000000000000000000000000000000000000000000000000000000000

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