Finite Group Databasebeta

← Group #10732221

Character table — Group #10732221

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order1222222222222222344444444666666666666666444444441212121212121212121212121212121212121212121212124444444412121212121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
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χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
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χ812-2-222-2-22-2-2-2222-22-1-222-2-222-211-1-1111-111-11-1-1-100000000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i31-1-111-1-112-2-220000-111-11-1-11−i3i3i3−i3i3−i3−i3i3000000000000000000000000
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χ832-2-222-2-22-2-2-2222-22-1-222-2-222-211-1-1111-111-11-1-1-100000000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i31-1-111-1-112-2-220000-111-11-1-11i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ842-2-222-2-22-2-2-2222-22-1-222-2-222-211-1-1111-111-11-1-1-100000000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i31-1-111-1-11-222-200001-1-11-111-1−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ852-2-22-222-2-22-2-22-222200000000-2-22-2222-22-22-2-22-22-2-22000022-2-2-2-22200000000000000000000000000000000000000002i−2i−2i2i00002i−2i2i−2i000000000000
χ862-2-22-222-2-22-2-22-222200000000-2-22-2222-22-22-2-22-22-2-22000022-2-2-2-2220000000000000000000000000000000000000000−2i2i2i−2i0000−2i2i−2i2i000000000000
χ872-2-22-222-2-22-2-22-222200000000-2-22-2222-22-22-2-22-2-222-20000-2-22222-2-200000000000000000000000000000000000000002i−2i−2i2i0000−2i2i−2i2i000000000000
χ882-2-22-222-2-22-2-22-222200000000-2-22-2222-22-22-2-22-2-222-20000-2-22222-2-20000000000000000000000000000000000000000−2i2i2i−2i00002i−2i2i−2i000000000000
χ892-2-22-22-22222-2-22-2-222-2-22-222-2-2-22-222-22-22-22-2-220000000000000000000000002-2-22-222-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ902-2-22-22-22222-2-22-2-222-2-22-222-2-2-22-222-22-22-22-2-220000000000000000000000002-2-22-222-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ912-2-22-22-22222-2-22-2-22-222-22-2-22-2-22-222-22-22-22-2-22000000000000000000000000-222-22-2-22000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ922-2-22-22-22222-2-22-2-22-222-22-2-22-2-22-222-22-22-22-2-22000000000000000000000000-222-22-2-2200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
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χ10044-4-4444-44-4-4-4-44-44-244-4-444-4-4-222-2-22-222-2-2222-2000000000000000000000000-2-222-2-222000000000000000000000000000000000000000000000000
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χ10544-4-4-4-4-4444-44-4-444-200000000-22222-22-2-2-2-22-22200004-4-4400000000-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ10644-4-4-4-4-4444-44-4-444-200000000-22222-22-2-2-2-22-2220000-444-40000000022-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ1074-44-44-44444-4-44-4-4-4-2000000002-22-22-2-2-22-2222-224-44-40000-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1084-44-44-44444-4-44-4-4-4-2000000002-22-22-2-2-22-2222-22-44-44000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ1094-44-44-4-4-4-444-4-4444-24-44-44-44-42-22-22-222-22-2-222-2000000000000000000000000-22-22-22-22000000000000000000000000000000000000000000000000
χ1104-44-44-4-4-4-444-4-4444-2-44-44-44-442-22-22-222-22-2-222-20000000000000000000000002-22-22-22-2000000000000000000000000000000000000000000000000
χ1114-44-4-4444-4-444-4-4-44400000000-44-4-44-444-4-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1134-44-4-4444-4-444-4-4-44-2000000002-222-22-2-222-2-2-22200000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1144-4-444-44-44-444-4-44-4400000000-4-444-4-44-444-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-444-44-44-444-4-44-4-20000000022-2-222-22-2-22-2-2220000000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ1164-4-444-44-44-444-4-44-4-20000000022-2-222-22-2-22-2-22200000000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ1174-4-44-444-4-44-4-44-444-20000000022-22-2-2-22-22-222-224-4-440000-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000
χ1184-4-44-444-4-44-4-44-444-20000000022-22-2-2-22-22-222-22-444-4000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1194-4-44-44-44444-4-44-4-4-24-4-44-444-422-22-2-22-22-22-222-2000000000000000000000000-222-22-2-22000000000000000000000000000000000000000000000000
χ1204-4-44-44-44444-4-44-4-4-2-444-44-4-4422-22-2-22-22-22-222-20000000000000000000000002-2-22-222-2000000000000000000000000000000000000000000000000

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