Finite Group Databasebeta

← Group #10735685

Character table — Group #10735685

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order1222222222222222366666666666666644444444444444441212121212121212121212121212121212121212121212124444441212121212121212121212121212121244444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
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
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222221111-1-1-1-11111-1-1-1-100000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-111111111-2-222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-1-1-1-100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-21111111111111111-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
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χ28222-2-2-22-2222-2-2-22-2222222-2-2-2-2-22-2-22-200000000−2i−2i2i2i00000000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000−2i−2i2i2i0000000000002-200
χ2922-22-2-22-22-2-222-2-22222-2-2-2222-2-22-2-2-222i2i−2i−2i0000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000022-2-200002i−2i000000
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χ4222-2-22-2-22-22-222-22-2-1-11-111-1-11-111-11-110000-2-22200002i2i−2i−2i−3−333−3−3331111-1-1-1-133−3−333−3−300−2i2i00i3i3−i3−i3ii−i−i−i−iii−i3−i3i3i300000000000000000000
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χ4422-2-22-2-22-22-222-22-2-1-11-111-1-11-111-11-110000-2-2220000−2i−2i2i2i−3−333−3−3331111-1-1-1-133−3−333−3−3002i−2i00−i3−i3i3i3−i−iiiii−i−ii3i3−i3−i300000000000000000000
χ452-22-2-22-2222-22-2-2-222-2222-22-2-2-22-22-2-2200002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000002-22-20000002i−2i0000
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χ482-22-2-22-2222-22-2-2-222-2222-22-2-2-22-22-2-220000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000-22-220000002i−2i0000
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χ512-22-2-2-222-2-2-2-222222-2-2-22-2-22-2-2-222222-22-22000000002-22-2-22-22-22-220000000000000000-220000-22-2200002-22-2000000000000000000000000
χ522-22-2-2-222-2-2-2-222222-2-2-22-2-22-2-2-222222-22-2200000000-22-22-22-22-22-2200000000000000002-200002-22-20000-22-22000000000000000000000000
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χ732-2-22-2-222-2222-22-2-22-2-22-222-22-2-2222-2-200002i−2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000002-22-20000002i−2i00000000
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χ752-2-22-2-222-2222-22-2-22-2-22-222-22-2-2222-2-20000−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000002-22-2000000−2i2i00000000
χ762-2-22-2-222-2222-22-2-22-2-22-222-22-2-2222-2-20000−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000-22-220000002i−2i00000000
χ772-2-2-2222-2-222-22-2-222-2-22-22-22-2222-2-2-222i−2i−2i2i0000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000002i−2i−2i2i00002-20000000000
χ782-2-2-2222-2-222-22-2-222-2-22-22-22-2222-2-2-222i−2i−2i2i0000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000−2i2i2i−2i0000-220000000000
χ792-2-2-2222-2-222-22-2-222-2-22-22-22-2222-2-2-22−2i2i2i−2i000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000002i−2i−2i2i0000-220000000000
χ802-2-2-2222-2-222-22-2-222-2-22-22-22-2222-2-2-22−2i2i2i−2i000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000−2i2i2i−2i00002-20000000000
χ812-2-2-22-2-2-22-222-22222-22-2-222-2-22-2-2-2222000000002-2-22000000000000000000002-2-22-222-2000000000000000000000000002-2-2200000000002-2
χ822-2-2-22-2-2-22-222-22222-22-2-222-2-22-2-2-2222000000002-2-22000000000000000000002-2-22-222-200000000000000000000000000-222-20000000000-22
χ832-2-2-22-2-2-22-222-22222-22-2-222-2-22-2-2-222200000000-222-200000000000000000000-222-22-2-22000000000000000000000000002-2-220000000000-22
χ842-2-2-22-2-2-22-222-22222-22-2-222-2-22-2-2-222200000000-222-200000000000000000000-222-22-2-2200000000000000000000000000-222-200000000002-2
χ8544444-4-44-4-44-4-4-4-4444-4-444-4-444-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644444-4-44-4-44-4-4-4-44-2-222-2-222-2-222-222-200000000000000000000000023−23−232323−23−232300000000000000000000000000000000000000000000000000
χ8744444-4-44-4-44-4-4-4-44-2-222-2-222-2-222-222-2000000000000000000000000−232323−23−232323−2300000000000000000000000000000000000000000000000000
χ88444-4-44-4-4-4-44444-4-444-4-44444-4-44-4-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ89444-4-44-4-4-4-44444-4-4-2-222-2-2-2-222-222-2220000000000000000−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000000
χ90444-4-44-4-4-4-44444-4-4-2-222-2-2-2-222-222-22200000000000000002i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000000
χ91444-4-4-44-4444-4-4-44-4-2-2-2-2-2-222222-222-22000000004i4i−4i−4i00000000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000
χ92444-4-4-44-4444-4-4-44-4-2-2-2-2-2-222222-222-2200000000−4i−4i4i4i000000000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000
χ9344-44-44-4-4-44-4-4-444444-44-4-4-4-44-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-44-44-4-4-44-4-4-4444-2-22-22222-22-222-2-2-200000000000000000000000000000000−2i3−2i32i32i32i32i3−2i3−2i3000000000000000000000000000000000000000000
χ9544-44-44-4-4-44-4-4-4444-2-22-22222-22-222-2-2-2000000000000000000000000000000002i32i3−2i3−2i3−2i3−2i32i32i3000000000000000000000000000000000000000000
χ9644-44-4-44-44-4-444-4-44-2-2-2222-2-2-222-2222-24i4i−4i−4i000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000
χ9744-44-4-44-44-4-444-4-44-2-2-2222-2-2-222-2222-2−4i−4i4i4i0000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ9844-4-444444-4-4-4-44-4-4444-4-4-4-4-4-444444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-444444-4-4-4-44-4-4-2-2-2222222-2-2-2-2-22200000000000000000000000023−23−2323−232323−2300000000000000000000000000000000000000000000000000
χ10044-4-444444-4-4-4-44-4-4-2-2-2222222-2-2-2-2-222000000000000000000000000−232323−2323−23−232300000000000000000000000000000000000000000000000000
χ1014-444444-4-4-4-44-4-44-44-4-4-44-44-44444-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-444444-4-4-4-44-4-44-4-2222-22-22-2-2-2-222-220000000000000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000
χ1034-444444-4-4-4-44-4-44-4-2222-22-22-2-2-2-222-2200000000000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000
χ1044-4444-4-4-444-4-444-4-44-4444-4-4444-4-4-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4444-4-4-444-4-444-4-4-22-2-2-222-2-2-2222-2220000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1064-4444-4-4-444-4-444-4-4-22-2-2-222-2-2-2222-22200000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1074-44-4-44-4444-44-4-4-44-22-2-2-22-2222-22-222-200004i−4i4i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ1084-44-4-44-4444-44-4-4-44-22-2-2-22-2222-22-222-20000−4i4i−4i4i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000
χ1094-4-44-4-444-4444-44-4-4-222-22-2-22-222-2-2-22200004i−4i−4i4i0000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000
χ1104-4-44-4-444-4444-44-4-4-222-22-2-22-222-2-2-2220000−4i4i4i−4i00000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ1114-4-4-4444-4-444-44-4-44-222-22-22-22-2-2-2222-24i−4i−4i4i000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1124-4-4-4444-4-444-44-4-44-222-22-22-22-2-2-2222-2−4i4i4i−4i0000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1134-4-4-44-4-4-44-444-4444-22-222-2-222-2222-2-2-2000000004-4-4400000000000000000000-222-22-2-22000000000000000000000000000000000000000000
χ1144-4-4-44-4-4-44-444-4444-22-222-2-222-2222-2-2-200000000-444-4000000000000000000002-2-22-222-2000000000000000000000000000000000000000000

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