Finite Group Databasebeta

← Group #392834

Character table — Group #392834

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222222222222244444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222222222224444444444444444444444442222444444444444888888888888888888888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ171111-1-1-1111-1-1-1-11-1iiii−i−i−i−i111-1-1-1iiii−i−i−i−i1-111-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-1i−i1-1i−i1-1i−ii−i1-1
χ181111-1-1-1111-1-1-1-11-1iiii−i−i−i−i111-1-1-1iiii−i−i−i−i1-111-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-11−ii-11−ii−ii-11
χ191111-1-1-1111-1-1-1-11-1iiii−i−i−i−i111-1-1-1iiii−i−i−i−i1-111-1-1ii−i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-111111-1i−i1-1−ii-11−iii−i-11
χ201111-1-1-1111-1-1-1-11-1iiii−i−i−i−i111-1-1-1iiii−i−i−i−i1-111-1-1ii−i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-11−ii-11i−i1-1i−i−ii1-1
χ211111-1-1-1111-1-1-1-11-1iiii−i−i−i−i111-1-1-1iiii−i−i−i−i1-1-1-111−i−iii-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-111111-1i−i-11i−i1-1−ii−ii-11
χ221111-1-1-1111-1-1-1-11-1iiii−i−i−i−i111-1-1-1iiii−i−i−i−i1-1-1-111−i−iii-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11−ii1-1−ii-11i−ii−i1-1
χ231111-1-1-1111-1-1-1-11-1iiii−i−i−i−i111-1-1-1iiii−i−i−i−i1-1-1-111−i−iii-1-111−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11-1i−i-11−ii-11i−i−ii1-1
χ241111-1-1-1111-1-1-1-11-1iiii−i−i−i−i111-1-1-1iiii−i−i−i−i1-1-1-111−i−iii-1-111−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-11−ii1-1i−i1-1−iii−i-11
χ251111-1-1-1111-1-1-1-11-1−i−i−i−iiiii111-1-1-1−i−i−i−iiiii1-111-1-1−i−iii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-111111-1−ii1-1i−i-11i−i−ii-11
χ261111-1-1-1111-1-1-1-11-1−i−i−i−iiiii111-1-1-1−i−i−i−iiiii1-111-1-1−i−iii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-11i−i-11−ii1-1−iii−i1-1
χ271111-1-1-1111-1-1-1-11-1−i−i−i−iiiii111-1-1-1−i−i−i−iiiii1-111-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii1-1−ii1-1−ii−ii1-1
χ281111-1-1-1111-1-1-1-11-1−i−i−i−iiiii111-1-1-1−i−i−i−iiiii1-111-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-11i−i-11i−ii−i-11
χ291111-1-1-1111-1-1-1-11-1−i−i−i−iiiii111-1-1-1−i−i−i−iiiii1-1-1-111ii−i−i-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11-1−ii-11i−i-11−iii−i1-1
χ301111-1-1-1111-1-1-1-11-1−i−i−i−iiiii111-1-1-1−i−i−i−iiiii1-1-1-111ii−i−i-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-11i−i1-1−ii1-1i−i−ii-11
χ311111-1-1-1111-1-1-1-11-1−i−i−i−iiiii111-1-1-1−i−i−i−iiiii1-1-1-111ii−i−i-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-111111-1−ii-11−ii1-1i−ii−i-11
χ321111-1-1-1111-1-1-1-11-1−i−i−i−iiiii111-1-1-1−i−i−i−iiiii1-1-1-111ii−i−i-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11i−i1-1i−i-11−ii−ii1-1
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χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
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χ382222-2-2-2222-2-2-2-22-22i2i2i2i−2i−2i−2i−2i-2-2-2222−2i−2i−2i−2i2i2i2i2i-22-2-222−2i−2i2i2i22-2-22i2i−2i−2i000000000000000000000000000000000000000000000000
χ392222-2-2-2222-2-2-2-22-2−2i−2i−2i−2i2i2i2i2i-2-2-22222i2i2i2i−2i−2i−2i−2i-2222-2-2−2i−2i2i2i-2-2222i2i−2i−2i000000000000000000000000000000000000000000000000
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χ4122-2-222-22-2-222-2-22-20000000022-22-2-200000000-2200002i−2i2i−2i00002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-2000000000000000000000000
χ4222-2-222-22-2-222-2-22-20000000022-22-2-200000000-2200002i−2i2i−2i00002i−2i2i−2i00000000−2i−2i2i2i−2i−2i2i2i-2-222-2-222000000000000000000000000
χ4322-2-222-22-2-222-2-22-20000000022-22-2-200000000-220000−2i2i−2i2i0000−2i2i−2i2i000000002i2i−2i−2i2i2i−2i−2i-2-222-2-222000000000000000000000000
χ4422-2-222-22-2-222-2-22-20000000022-22-2-200000000-220000−2i2i−2i2i0000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000000000000000000000
χ4522-2-222-22-2-222-2-22-200000000-2-22-222000000002-200002i−2i2i−2i0000−2i2i−2i2i2i2i−2i−2i2i2i−2i−2i000000000000000022-2-222-2-20000000000000000
χ4622-2-222-22-2-222-2-22-200000000-2-22-222000000002-200002i−2i2i−2i0000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000-2-222-2-2220000000000000000
χ4722-2-222-22-2-222-2-22-200000000-2-22-222000000002-20000−2i2i−2i2i00002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2-222-2-2220000000000000000
χ4822-2-222-22-2-222-2-22-200000000-2-22-222000000002-20000−2i2i−2i2i00002i−2i2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000022-2-222-2-20000000000000000
χ4922-2-2-2-222-2-2-2-222220000000022-2-22200000000-2-200002-2-2200002-2-22000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5022-2-2-2-222-2-2-2-222220000000022-2-22200000000-2-200002-2-2200002-2-2200000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5122-2-2-2-222-2-2-2-222220000000022-2-22200000000-2-20000-222-20000-222-2000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5222-2-2-2-222-2-2-2-222220000000022-2-22200000000-2-20000-222-20000-222-200000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
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χ5522-2-2-2-222-2-2-2-2222200000000-2-222-2-200000000220000-222-200002-2-2222-2-2-2-2220000000000000000-2-22222-2-20000000000000000
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χ742-2-222-2-2-2-222-2-222222-2-222-2-22-2-2-2-2222-2-222-2-2220000000000000000-222-2-222-2-222-2-222-200000000000000000000000000000000
χ752-2-222-2-2-2-222-2-222222-2-222-2-2-22222-2-2-222-2-222-2-2000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000
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χ842-2-22-222-2-22-222-22-22i2i−2i−2i−2i−2i2i2i-222-2-22−2i−2i2i2i2i2i−2i−2i-2200000000000000000000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i0000000000000000
χ852-2-22-222-2-22-222-22-2−2i−2i2i2i2i2i−2i−2i2-2-222-2−2i−2i2i2i2i2i−2i−2i2-200000000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-2200000000000000000000000000000000
χ862-2-22-222-2-22-222-22-2−2i−2i2i2i2i2i−2i−2i2-2-222-2−2i−2i2i2i2i2i−2i−2i2-20000000000000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-200000000000000000000000000000000
χ872-2-22-222-2-22-222-22-2−2i−2i2i2i2i2i−2i−2i-222-2-222i2i−2i−2i−2i−2i2i2i-22000000000000000000000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000000000000000
χ882-2-22-222-2-22-222-22-2−2i−2i2i2i2i2i−2i−2i-222-2-222i2i−2i−2i−2i−2i2i2i-2200000000000000000000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i0000000000000000
χ89444-4444-4-44-4-4-4-4-44000000000000004-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000
χ90444-4444-4-44-4-4-4-4-4400000000000000-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000
χ91444-4-4-4-4-4-444444-4-4000000000000004i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ92444-4-4-4-4-4-444444-4-400000000000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ9344-4444-4-44-4-4-444-4-44-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4444-4-44-4-4-444-4-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-44-4-44-44-444-4-4-444i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-44-4-44-44-444-4-4-44−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4444-444-4-4-44-44-4-44-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4444-444-4-4-44-44-4-4-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-444-44-44-4-44-44-4-444i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-444-44-44-4-44-44-4-44−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-4-4444-444-4-44000000000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-44-4-4444-444-4-4400000000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-4444444-4-44-4-4000000000000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4444444-4-44-4-400000000000000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000

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