Finite Group Databasebeta

← Group #10733264

Character table — Group #10733264

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order1222222222222222366666666666666644444444444444441212121212121212121212121212121212121212121212124444441212121212121212121212121212121222224444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ411111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
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
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-2-2-2-222-1-1-1-1-1-1-1-11111111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-211111111-1-1-1-1-1-1-1-100000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222221111-1-1-1-11111-1-1-1-100000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-111111111-1-1-1-100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-21111111111111111-1-1-1-1-1-1-1-122-2-2221111-1-1-1-1-1-1-1-1111100000000000000000000
χ2522222-2-22-2-2-2-22-2-2222222-2-2-2-2222-2-2-2-2000000002i2i−2i−2i22-2-200000000000000002i2i2i2i−2i−2i−2i−2i002i−2i0022-2-2000000002i2i−2i−2i00000000000000000000
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χ2822222-2-22-2-2-2-22-2-2222222-2-2-2-2222-2-2-2-200000000−2i−2i2i2i-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i002i−2i00-2-222000000002i2i−2i−2i00000000000000000000
χ2922222-2-22-2-2-2-22-2-22-1-1-1-1-11111-1-1-11111000000002i2i−2i−2i22-2-23333−3−3−3−3−i3−i3−i3−i3i3i3i3i3−i−i−i−iiiii002i−2i00-1-11133−3−3−i3−i3i3i3−i−iii00000000000000000000
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χ3522222-2-22-2-2-2-22-2-22-1-1-1-1-11111-1-1-1111100000000−2i−2i2i2i-2-2223333−3−3−3−3i3i3i3i3−i3−i3−i3−i3iiii−i−i−i−i002i−2i0011-1-1−3−333−i3−i3i3i3−i−iii00000000000000000000
χ3622222-2-22-2-2-2-22-2-22-1-1-1-1-11111-1-1-1111100000000−2i−2i2i2i-2-222−3−3−3−33333−i3−i3−i3−i3i3i3i3i3iiii−i−i−i−i002i−2i0011-1-133−3−3i3i3−i3−i3−i−iii00000000000000000000
χ37222-2-22-2-2222-2-2-2-22222-2-222-2-22-2-222-2-200002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000022-2-2000000002i−2i000000
χ38222-2-22-2-2222-2-2-2-22222-2-222-2-22-2-222-2-200002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-2-22200000000−2i2i000000
χ39222-2-22-2-2222-2-2-2-22222-2-222-2-22-2-222-2-20000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000022-2-200000000−2i2i000000
χ40222-2-22-2-2222-2-2-2-22222-2-222-2-22-2-222-2-20000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000-2-222000000002i−2i000000
χ4122-22-22-2-22-2-2222-2-222-22-22-22-2-22-22-22-22i2i−2i−2i000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000002-22i−2i2i−2i2-22-20000000000000000000000000000
χ4222-22-22-2-22-2-2222-2-222-22-22-22-2-22-22-22-22i2i−2i−2i00000000−2i2i−2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000-22−2i2i−2i2i-22-220000000000000000000000000000
χ4322-22-22-2-22-2-2222-2-222-22-22-22-2-22-22-22-2−2i−2i2i2i000000002i−2i2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000-222i−2i2i−2i-22-220000000000000000000000000000
χ4422-22-22-2-22-2-2222-2-222-22-22-22-2-22-22-22-2−2i−2i2i2i00000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000002-2−2i2i−2i2i2-22-20000000000000000000000000000
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χ5322-22-2-22-2-222-22-22-222-22-2-22-22-22-2-22-2200002-22-200002i−2i−2i2i000000002-22-2-22-22000000002i−2i00002i−2i−2i2i00002i−2i−2i2i000000000000000000000000
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χ6222-22-2-22-2-222-22-22-2-1-11-111-11-11-111-11-10000-22-2200002i−2i−2i2ii3i3−i3−i3−i3−i3i3i31-11-1-11-11−i3−i3i3i3i3i3−i3−i3−2i2i0000−iii−i3−3−33i−i−ii−333−300000000000000000000
χ6322-22-2-22-2-222-22-22-2-1-11-111-11-11-111-11-10000-22-220000−2i2i2i−2i−i3−i3i3i3i3i3−i3−i31-11-1-11-11i3i3−i3−i3−i3−i3i3i32i−2i0000i−i−ii3−3−33−iii−i−333−300000000000000000000
χ6422-22-2-22-2-222-22-22-2-1-11-111-11-11-111-11-10000-22-220000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i31-11-1-11-11−i3−i3i3i3i3i3−i3−i32i−2i0000i−i−ii−333−3−iii−i3−3−3300000000000000000000
χ6522-2-22-2-22-2222-22-2-222-2-22-222-2-2-22-222-200002i−2i−2i2i00000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000002i2i−2i−2i2-20000000000
χ6622-2-22-2-22-2222-22-2-222-2-22-222-2-2-22-222-200002i−2i−2i2i00000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000−2i−2i2i2i-220000000000
χ6722-2-22-2-22-2222-22-2-222-2-22-222-2-2-22-222-20000−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000002i2i−2i−2i-220000000000
χ6822-2-22-2-22-2222-22-2-222-2-22-222-2-2-22-222-20000−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000−2i−2i2i2i2-20000000000
χ692-22-2-2222-2-22-222-2-22-22-2-222-22-222-2-22-22i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000002i−2i2i−2i000000002-200
χ702-22-2-2222-2-22-222-2-22-22-2-222-22-222-2-22-22i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000−2i2i−2i2i00000000-2200
χ712-22-2-2222-2-22-222-2-22-22-2-222-22-222-2-22-2−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000002i−2i2i−2i00000000-2200
χ722-22-2-2222-2-22-222-2-22-22-2-222-22-222-2-22-2−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000−2i2i−2i2i000000002-200
χ732-2-22-2222-22-22-2-2-222-2-22-22-2222-22-22-2-2000000002i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000002-22-200000000002i−2i0000
χ742-2-22-2222-22-22-2-2-222-2-22-22-2222-22-22-2-2000000002i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000-22-220000000000−2i2i0000
χ752-2-22-2222-22-22-2-2-222-2-22-22-2222-22-22-2-200000000−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002-22-20000000000−2i2i0000
χ762-2-22-2222-22-22-2-2-222-2-22-22-2222-22-22-2-200000000−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000-22-2200000000002i−2i0000
χ772-2-22-2-2-222-22-2-22222-2-22-2-22-2-22-222-222000000002-2-22000000000000000000002-22-2-22-22000000000000000000000000002-2-22002-200000000
χ782-2-22-2-2-222-22-2-22222-2-22-2-22-2-22-222-222000000002-2-22000000000000000000002-22-2-22-2200000000000000000000000000-222-200-2200000000
χ792-2-22-2-2-222-22-2-22222-2-22-2-22-2-22-222-22200000000-222-200000000000000000000-22-222-22-2000000000000000000000000002-2-2200-2200000000
χ802-2-22-2-2-222-22-2-22222-2-22-2-22-2-22-222-22200000000-222-200000000000000000000-22-222-22-200000000000000000000000000-222-2002-200000000
χ812-2-2-222-2-2-22-2-222222-2-2-222-2-2-222-2-22222-2-220000000000002-2-222-2-22000000000000000000000000000000000000002-2-22000000000000002-2
χ822-2-2-222-2-2-22-2-222222-2-2-222-2-2-222-2-22222-2-220000000000002-2-222-2-2200000000000000000000000000000000000000-222-200000000000000-22
χ832-2-2-222-2-2-22-2-222222-2-2-222-2-2-222-2-2222-222-2000000000000-222-2-222-2000000000000000000000000000000000000002-2-2200000000000000-22
χ842-2-2-222-2-2-22-2-222222-2-2-222-2-2-222-2-2222-222-2000000000000-222-2-222-200000000000000000000000000000000000000-222-2000000000000002-2
χ85444-4-44-4-4444-4-4-4-44-2-2-222-2-222-222-2-22200004i4i−4i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ86444-4-44-4-4444-4-4-4-44-2-2-222-2-222-222-2-2220000−4i−4i4i4i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000
χ87444-4-4-44-4-4-4-44-4444444-4-4-4-4444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ88444-4-4-44-4-4-4-44-4444-2-2-22222-2-2-22222-2-20000000000000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000
χ89444-4-4-44-4-4-4-44-4444-2-2-22222-2-2-22222-2-2000000000000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000
χ9044-4-444444-4-4-4-4-44-444-4-444-4-44-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-444444-4-4-4-4-44-4-2-222-2-222-222-2-222-200000000000000000000000023−23−232323−23−232300000000000000000000000000000000000000000000000000
χ9244-4-444444-4-4-4-4-44-4-2-222-2-222-222-2-222-2000000000000000000000000−232323−23−232323−2300000000000000000000000000000000000000000000000000
χ9344-4-44-4-44-4444-44-4-4-2-222-22-2-2222-22-2-2200004i−4i−4i4i0000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000
χ9444-4-44-4-44-4444-44-4-4-2-222-22-2-2222-22-2-220000−4i4i4i−4i00000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ954-44444-4-4-4-444-4-44-44-4444444-4-4-4-4-4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44444-4-4-4-444-4-44-4-22-2-2-2-2-2-22222222-200000000000000000000000000000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000000000
χ974-44444-4-4-4-444-4-44-4-22-2-2-2-2-2-22222222-2000000000000000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000000000
χ984-4444-44-444-4-4-44-4-44-4444-4-4-44-4-4-4444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4444-44-444-4-4-44-4-4-22-2-2-2222-2222-2-2-220000000000000000000000000000000023−23−2323−232323−23000000000000000000000000000000000000000000
χ1004-4444-44-444-4-4-44-4-4-22-2-2-2222-2222-2-2-2200000000000000000000000000000000−232323−2323−23−2323000000000000000000000000000000000000000000
χ1014-44-4-4444-4-44-444-4-4-22-222-2-22-22-2-222-224i−4i4i−4i000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1024-44-4-4444-4-44-444-4-4-22-222-2-22-22-2-222-22−4i4i−4i4i0000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1034-44-4-4-4-4444-444-44-44-44-4-4-4-44-4-44444-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-44-4-4-4-4444-444-44-4-22-22222-222-2-2-2-22-20000000000000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1054-44-4-4-4-4444-444-44-4-22-22222-222-2-2-2-22-200000000000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1064-4-44-4444-44-44-4-4-44-222-22-22-2-2-22-22-222000000004i−4i4i−4i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ1074-4-44-4444-44-44-4-4-44-222-22-22-2-2-22-22-22200000000−4i4i−4i4i000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ1084-4-44-4-4-444-44-4-4444-222-222-222-22-2-22-2-2000000004-4-4400000000000000000000-22-222-22-2000000000000000000000000000000000000000000
χ1094-4-44-4-4-444-44-4-4444-222-222-222-22-2-22-2-200000000-444-4000000000000000000002-22-2-22-22000000000000000000000000000000000000000000
χ1104-4-4-444-4-4-44-4-44444-2222-2-2222-2-222-2-2-24-4-44000000000000-222-2-222-20000000000000000000000000000000000000000000000000000000000
χ1114-4-4-444-4-4-44-4-44444-2222-2-2222-2-222-2-2-2-444-40000000000002-2-222-2-220000000000000000000000000000000000000000000000000000000000
χ1124-4-4-44-44-44-4444-4-444-4-4-44-444444-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-44-44-44-4444-4-44-2222-22-2-2-2-2-22-2222000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000000000
χ1144-4-4-44-44-44-4444-4-44-2222-22-2-2-2-2-22-22220000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000

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