Finite Group Databasebeta

← Group #72314595

Character table — Group #72314595

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size11112222224444444444444444888888888888888888161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222222222224422222222222444444444444444244444444444444444444444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11-1-1-1-11-1-111-1-11111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i
χ611111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11-1-1-1-11-1-111-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii
χ711111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii
χ811111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i
χ91111111111111111111111111111111111-1-1111111-1-1111111-1-1-1111111-111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111111111111111111111-1-1111111-1-1111111-1-1-1111111-111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111111111111111111111111111-1-1111111-1-1111111-1-1-1111111-111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ121111111111111111111111111111111111-1-1111111-1-1111111-1-1-1111111-111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ131111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ141111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ151111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ161111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−i
χ18111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii−ii−ii
χ19111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii
χ20111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−ii−ii−i
χ21111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-111-1-111-1
χ22111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-1-111-1-11
χ23111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-1-111-1-11
χ24111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-111-1-111-1
χ25111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111i−ii−i−ii−ii
χ26111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1−ii−iii−ii−i
χ27111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111−ii−iii−ii−i
χ28111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1i−ii−i−ii−ii
χ29111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-111-11-1-11
χ30111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1
χ31111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1
χ32111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-111-11-1-11
χ33222222222222222222222222222222-2-2-2-22222222222-2-2-2-2-2-2222-2-2222222222-2-2-2-2-2-22-2-2222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ34222222222222222222222222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-22-2-222-2-2-2-22-2-2-2-2-2-2-2-222222-2-2222-2-222000000000000000000000000000000000000000000000000
χ35222222222222222222222222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-222-2-22222-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000
χ36222222222222222222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-222222222-22222-2-2-222-2-2000000000000000000000000000000000000000000000000
χ37222222222222222222-2-2-2-2-2-2-2-222-2-2222222-2-2222222-2-2-2-22222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000000000000000
χ38222222222222222222-2-2-2-2-2-2-2-222-2-2222222-2-2-2-2-2-222-2-2-2-2222-2-2-2-222222-2-2-2-22222-2-2-22222-222-2-2-2-2000000000000000000000000000000000000000000000000
χ39222222222222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2-2-222-2-2-222-2-2-2-2-222-2-2-2-2-2-2222-2-22222222-2-2000000000000000000000000000000000000000000000000
χ40222222222222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-222-2-22222-2-2-222-2-2-2-2-2-2222-2-22-2-22222000000000000000000000000000000000000000000000000
χ4122222222222222-2-2-2-2222-2-2-22-2-2-22-22222002-222220022-2-2-2-20002222-2-20-2-2000000-2-202-20000000000000000000000000000000002-22-200002-22-2000000000000
χ4222222222222222-2-2-2-2222-2-2-22-2-2-22-22222002-222220022-2-2-2-20002222-2-20-2-2000000-2-202-2000000000000000000000000000000000-22-220000-22-22000000000000
χ4322222222222222-2-2-2-2222-2-2-22-2-2-22-22222002-2-2-2-2-20022-2-2-2-2000-2-2-2-222022000000220-220000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ4422222222222222-2-2-2-2222-2-2-22-2-2-22-22222002-2-2-2-2-20022-2-2-2-2000-2-2-2-222022000000220-22000000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ4522222222222222-2-2-2-2222-2-2-22-2-2-22-2-2-2-2-2002-2222200-2-22222000-2-222-2-20-2-2000000220-2200000000000000000000000000000000000002-22-200002-22-200000000
χ4622222222222222-2-2-2-2222-2-2-22-2-2-22-2-2-2-2-2002-2222200-2-22222000-2-222-2-20-2-2000000220-220000000000000000000000000000000000000-22-220000-22-2200000000
χ4722222222222222-2-2-2-2222-2-2-22-2-2-22-2-2-2-2-2002-2-2-2-2-200-2-2222200022-2-222022000000-2-202-200000000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i00000000
χ4822222222222222-2-2-2-2222-2-2-22-2-2-22-2-2-2-2-2002-2-2-2-2-200-2-2222200022-2-222022000000-2-202-20000000000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i00000000
χ4922222222222222-2-2-2-2-2-2-2222-22-2-2-22222200-22222200-2-222-2-200022-2-2220-2-2000000-2-20-2200000000000000000000000000000000000002-2-2200002-2-2200000000
χ5022222222222222-2-2-2-2-2-2-2222-22-2-2-22222200-22222200-2-222-2-200022-2-2220-2-2000000-2-20-220000000000000000000000000000000000000-222-20000-222-200000000
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χ5222222222222222-2-2-2-2-2-2-2222-22-2-2-22222200-22-2-2-2-200-2-222-2-2000-2-222-2-20220000002202-20000000000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000
χ5322222222222222-2-2-2-2-2-2-2222-22-2-2-22-2-2-2-200-2222220022-2-222000-2-2-2-2220-2-20000002202-20000000000000000000000000000000002-2-2200002-2-22000000000000
χ5422222222222222-2-2-2-2-2-2-2222-22-2-2-22-2-2-2-200-2222220022-2-222000-2-2-2-2220-2-20000002202-2000000000000000000000000000000000-222-20000-222-2000000000000
χ5522222222222222-2-2-2-2-2-2-2222-22-2-2-22-2-2-2-200-22-2-2-2-20022-2-2220002222-2-2022000000-2-20-220000000000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ5622222222222222-2-2-2-2-2-2-2222-22-2-2-22-2-2-2-200-22-2-2-2-20022-2-2220002222-2-2022000000-2-20-22000000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i000000000000
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χ1118-88-88-80000000000000000080-80000-44-44000000000000-440000000000000000000000000000000000000000004i−4i00004i−4i00000000000000000000000000000000
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χ1168-88-88-800000000000000000-8080000-44-440000000000004-400000000000000000000000000000000000000000000-444-40000000000000000000000000000000000
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χ1188-8-880000-880000008-80000000000004-4-4400000000-8800004-400000000000000-44-4400000000000000000000000000000000000000000000000000000000000000
χ1198-8-880000-880000008-8000000000000-444-4000000008-80000-4400000000000000-44-4400000000000000000000000000000000000000000000000000000000000000
χ1208-8-880000-880000008-8000000000000-444-400000000-880000-44000000000000004-44-400000000000000000000000000000000000000000000000000000000000000
χ1218-8-880000-88000000-880000000000004-4-448-8000000000000-44000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).