Finite Group Databasebeta

← Group #72337600

Character table — Group #72337600

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size1122244444444444488888888888881616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222244442222222222222222444444444422444444444444444444444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111-1-111-1-111111111111-1-111-11-1-1111111-11-11-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ6111111111111111111111111-1-111-1-111111111111-1-111-11-1-1111111-11-11-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ7111111111111111111111111-1-111-1-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ8111111111111111111111111-1-111-1-111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ911111111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111111-11-111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111111-11-111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1111111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1211111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-111-11-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1411111111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-111-11-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1511111111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111-1-1-1-1-1-111111111-1111111-1-11111-1-1-111-1-1-1-11-111-111-111-1-1-1-1-11111111-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11-1-1-111ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811111-1-1-1-1-1-111111111-1111111-1-11111-1-1-111-1-1-1-11-111-111-111-1-1-1-1-11111111-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11-1-1-111−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911111-1-1-1-1-1-111111111-1111111-1-11111-1-1-111-1-1-1-11-1-1-1-111-1-1-11111-1-1-1-1-1111-11111111111-1-1-1-111-1-111-1-111-11-1-1-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2011111-1-1-1-1-1-111111111-1111111-1-11111-1-1-111-1-1-1-11-1-1-1-111-1-1-11111-1-1-1-1-1111-11111111111-1-1-1-111-1-111-1-111-11-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2111111-1-1-1-1-1-111111111-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-111111-1111-1-1-1-111-11-1-1-11-1-1-111-1-1-1-111-1-111-1-111-1-11111-1111-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2211111-1-1-1-1-1-111111111-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-111111-1111-1-1-1-111-11-1-1-11-1-1-111-1-1-1-111-1-111-1-111-1-11111-1111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2311111-1-1-1-1-1-111111111-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-11-1-111-11-1-111111-11-11-1-11-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11-1111111-1-1-1-111-1-11111-1-11-1-11-111-1
χ2411111-1-1-1-1-1-111111111-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-11-1-111-11-1-111111-11-11-1-11-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11-11111-1-11111-1-111-1-1-1-111-111-11-1-11
χ2511111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111111-111-111-111-1-1-1-1-1-11-11111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-1ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2611111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111111-111-111-111-1-1-1-1-1-11-11111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-1−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2711111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-111-1-1-11111-11-11-1111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2811111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-111-1-1-11111-11-11-1111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2911111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-111111-1111-1-1-1-11-1-1-1-1-1-11-111111111-1-11111-1-1-1-11111-1-1-11-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1
χ3011111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-111111-1111-1-1-1-11-1-1-1-1-1-11-111111111-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-1-1-11111-1-11-1-111-1-11
χ3111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-11-1-111-11-1-1111111111-1-11-1-1-1-1-11111-1-111-1-11111-1-111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ3211111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-11-1-111-11-1-1111111111-1-11-1-1-1-1-11111-1-111-1-11111-1-111111-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1
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χ34222222222222222222220000222222-2-22-2-200000022-2-22222-2-2-2-2-2-220-20-2-2-2-2-200-2-20000000022220000-2-200220000000000000000000000000000
χ35222222222222222222220000-2-222-2-2-2-22-2-2000000-2-222-22-2-2222222-20-20-222-2-200-2-200000000-2-2-2-200002200220000000000000000000000000000
χ36222222222222222222220000-2-222-2-2-2-22-2-2000000-2-2-2-2-22-2-2-2-2-2-2-2-2-2020222-2-2002200000000222200002200-2-20000000000000000000000000000
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χ3922222222222222222-2-220000-2-2-2-222-2-2-2-2-20000002200-2-2-2-200000022020-22222200000000000000-2-2-2-2-22-220000-22000000000000000000000000
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χ4222222222222222222-2-222222-2-2-2-22222-2222222222200-2-2-2-2000000200002-2-2-20000-2-222-2-2-2-2000000002-20000-2200000000000000000000000000
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χ4422222222222222222-2-22-2-2-2-2-2-2-2-22222-222-2-2-2-2-2-22200-2-2-2-2000000200002-2-2-2000022-2-22222000000002-200002-200000000000000000000000000
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χ4822222-2-2-2-2-2-222222222-20000-2-2-2-2-2-2-2-2-222000000-22-2-222-22-2-222222020222-2200-2-20000000022-2-20000-2-200-220000000000000000000000000000
χ4922222-2-2-2-2-2-2222222-2-2-200002222-2-2-2-2222000000-2200-2-22-2000000220202-22-2-2-200000000000000-2-222-22-2200002-2000000000000000000000000
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χ10188-88-8000000-80080000044-4-400008-800000-440000000000000000000000000000000004-40000000000000000000000000000000000000000000000
χ10288-88-8000000-80080000044-4-40000-8800000-44000000000000000000000000000000000-440000000000000000000000000000000000000000000000
χ10388-88-8000000-800800000-4-44400008-8000004-4000000000000000000000000000000000-440000000000000000000000000000000000000000000000
χ10488-88-8000000-800800000-4-4440000-88000004-40000000000000000000000000000000004-40000000000000000000000000000000000000000000000
χ10588-8-88008-8-8800800-8000000000000000000000000000000000000000040-40000004-400000000000000000000000000000000000000000000000000
χ10688-8-88008-8-8800800-80000000000000000000000000000000000000000-404000000-4400000000000000000000000000000000000000000000000000
χ10788-8-8800-888-800800-8000000000000000000000000000000000000000040-4000000-4400000000000000000000000000000000000000000000000000
χ10888-8-8800-888-800800-80000000000000000000000000000000000000000-4040000004-400000000000000000000000000000000000000000000000000
χ109161616-16-1600000001600-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1101616-1616-160000001600-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11116-160008-80000000000000008-80000004-404-4004-44-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11216-160008-8000000000000000-880000004-404-400-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11316-160008-800000000000008-800000000-440-44004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11416-160008-80000000000000-8800000000-440-4400-444-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-16000-880000000000000008-80000004-40-4400-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-16000-88000000000000000-880000004-40-44004-44-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11716-16000-8800000000000008-800000000-4404-400-444-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ11816-16000-880000000000000-8800000000-4404-4004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000

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