Finite Group Databasebeta

← Group #72313398

Character table — Group #72313398

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size112222222444444444488888888888888888888816161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222224444222222222222224444444444444444444422444444444444444444444444444444444444448888888844448888
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
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-111-1-1111111111-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ61111111111111111111111111111111111-1-111-1-1111111111-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ71111111111111111111111111111111111-1-111-1-1111111111-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ81111111111111111111111111111111111-1-111-1-1111111111-1-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ911111111111111111111111111111111-1-111-1-111111111-1-1-11-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ1011111111111111111111111111111111-1-111-1-111111111-1-1-11-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111
χ1111111111111111111111111111111111-1-111-1-111111111-1-1-11-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111
χ1211111111111111111111111111111111-1-111-1-111111111-1-1-11-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-11111-1-1-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-11111-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111-1-1-1-1111111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111-1-1-1-1111111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ171111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1111111-1-1111-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ181111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1111111-1-1111-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-11-11
χ191111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1111111-1-1111-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ201111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1111111-1-1111-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1
χ211111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-11-11-1111111-1-111-1-1-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−ii
χ221111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-11-11-1111111-1-111-1-1-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iii−i
χ231111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-11-11111111-1-1-1-1111111-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i
χ241111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1-11-11111111-1-1-1-1111111-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−ii
χ251111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-111-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1-11-11
χ261111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-111-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11-111-11-1
χ271111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-111-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111-1-111-11-111-11-1
χ281111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-111-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-111-1-11-11-1-11-11
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1111111-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ301111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1111111-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ311111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ321111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222-2-2-2-2222222-2-2-2-2-2-20000222222-2-2000000-200-22-22-2-20022-2000022-2-200002-202020000002-200-2-222-2-20000002-22-200000000000000000000000000
χ34222222222222-2-2-2-2222222-2-2-2-2-2-20000222222-2-2000000-200-22-22-2-20022-2000022-2-200002-20-20-20000002-20022-2-222000000-22-2200000000000000000000000000
χ35222222222222-2-2-2-2222222-2-2-2-2-2-2000022-2-22222000000-2002-22-22-200-2-22000022-2-20000-220202000000-2200-2-222-2-2000000-22-2200000000000000000000000000
χ36222222222222-2-2-2-2222222-2-2-2-2-2-2000022-2-22222000000-2002-22-22-200-2-22000022-2-20000-220-20-2000000-220022-2-2220000002-22-200000000000000000000000000
χ37222222222222-2-2-2-2222222-2-2-2-2-2-20000-2-222-2-2-2-2000000200-2-222-22002-220000-2-22200002-20202000000-2200-2-2-2-2220000002-2-2200000000000000000000000000
χ38222222222222-2-2-2-2222222-2-2-2-2-2-20000-2-222-2-2-2-2000000200-2-222-22002-220000-2-22200002-20-20-2000000-22002222-2-2000000-222-200000000000000000000000000
χ39222222222222-2-2-2-2222222-2-2-2-2-2-20000-2-2-2-2-2-22200000020022-2-22200-22-20000-2-2220000-2202020000002-200-2-2-2-222000000-222-200000000000000000000000000
χ40222222222222-2-2-2-2222222-2-2-2-2-2-20000-2-2-2-2-2-22200000020022-2-22200-22-20000-2-2220000-220-20-20000002-2002222-2-20000002-2-2200000000000000000000000000
χ4122222222222-2-2-2-2-2-2-2-22-2-22222-2-200000022002200000002-2-2002-202-2-2000000000022-2-2-2200002-2002-20000000000000000000000002-2002-22-2002-20000000000
χ4222222222222-2-2-2-2-2-2-2-22-2-22222-2-200000022002200000002-2-2002-202-2-2000000000022-2-2-2200002-2002-2000000000000000000000000-2200-22-2200-220000000000
χ4322222222222-2-2-2-2-2-2-2-22-2-22222-2-20000002200220000000-22-2002-20-22-20000000000-2-222-220000-2200-220000000000000000000000002-2002-2-2200-220000000000
χ4422222222222-2-2-2-2-2-2-2-22-2-22222-2-20000002200220000000-22-2002-20-22-20000000000-2-222-220000-2200-22000000000000000000000000-2200-222-2002-20000000000
χ4522222222222-2-2-2-2-2-2-2-22-2-22222-2-2000000-2-200-2-200000002-2200-2202-22000000000022-2-22-20000-2200-220000000000000000000000002i−2i00−2i2i2i−2i00−2i2i0000000000
χ4622222222222-2-2-2-2-2-2-2-22-2-22222-2-2000000-2-200-2-200000002-2200-2202-22000000000022-2-22-20000-2200-22000000000000000000000000−2i2i002i−2i−2i2i002i−2i0000000000
χ4722222222222-2-2-2-2-2-2-2-22-2-22222-2-2000000-2-200-2-20000000-22200-220-2220000000000-2-2222-200002-2002-20000000000000000000000002i−2i00−2i2i−2i2i002i−2i0000000000
χ4822222222222-2-2-2-2-2-2-2-22-2-22222-2-2000000-2-200-2-20000000-22200-220-2220000000000-2-2222-200002-2002-2000000000000000000000000−2i2i002i−2i2i−2i00−2i2i0000000000
χ49222222222-2-2222-2-2222-2-2-222-2-22-20000222222-2-2000000-200-22-2-22-20022-20000-2-2220000-222020000000-22-2-200000022-2-22-200002-2000000000000000000000000
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χ54222222222-2-2222-2-2222-2-2-222-2-22-20000-2-222-2-2-2-2000000200-2-22-222002-22000022-2-20000-22-20-200000002-22200000022-2-2-2200002-2000000000000000000000000
χ55222222222-2-2222-2-2222-2-2-222-2-22-20000-2-2-2-2-2-22200000020022-22-2200-22-2000022-2-200002-22020000000-22-2-2000000-2-222-2200002-2000000000000000000000000
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χ57222222222-2-22-2-222222-2-2-2-2-222-2222222222222222-2-2-2-2222222-2-22222222222-2-2-2-2-2-2-2-2-2-20000-2-2-2-222-2-200000000000000000000000000000000000000000000
χ58222222222-2-22-2-222222-2-2-2-2-222-22222222-2-222-2-222-2-2-2-2222-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200002222-2-22200000000000000000000000000000000000000000000
χ59222222222-2-22-2-222222-2-2-2-2-222-222222-2-222-2-22222-2-2-2-2-2-2-22-2-2-2-2-2-2-22-2-2222222222222-2-2000022-2-2-2-22200000000000000000000000000000000000000000000
χ60222222222-2-22-2-222222-2-2-2-2-222-222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222222222220000-2-22222-2-200000000000000000000000000000000000000000000
χ61222222222-2-22-2-222222-2-2-2-2-222-22-2-2-2-222222222-2-222222-2-2222-2-22-2-2222-2-2-2-2-2-2-2-22222-2-200002222-2-2-2-200000000000000000000000000000000000000000000
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χ63222222222-2-22-2-222222-2-2-2-2-222-22-2-2-2-2-2-222-2-222-2-22222-2222-2-2-2-2-2222-2-2-2-2-2-22222-2-2-2-2-2-20000-2-222222200000000000000000000000000000000000000000000
χ64222222222-2-22-2-222222-2-2-2-2-222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-222-22222-222-22222222222-2-2-2-222000022-2-2-2-2-2-200000000000000000000000000000000000000000000
χ65222222222-2-2-222-2-2-2-2-2-222-2-2222-200000022002200000002-2-200-2202-2-20000000000-2-2222-20000-22002-200000000000000000000002-2002-200002-2002-200000000
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χ67222222222-2-2-222-2-2-2-2-2-222-2-2222-20000002200220000000-22-200-220-22-2000000000022-2-22-200002-200-2200000000000000000000002-2002-20000-2200-2200000000
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Here i is the imaginary unit (i² = −1).