Finite Group Databasebeta

← Group #72312718

Character table — Group #72312718

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133
size1122222224444444444888888888888888888816161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128
order1222222222222222222222222222222244444422222222444444444442224444444444444444444444444444444444444444444444444444444444444888888884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111111111111-1-111111-1-111111-11-1-11-1-1-1-1-1-1-111-1-111-1-11111111111111111111111111111-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111-1-111111-1-111111-11-1-11-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111111-1-111111-1-111111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-111111111111111-1-1-1-1
χ81111111111111111111111111111111111111111111-1-111111-1-111111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ91111111111111111111111111111-1-11111-1-11111-1-1-11111-1-1-111-1-1-1-11-111-1111111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111111111111111-1-11111-1-11111-1-1-11111-1-1-111-1-1-1-11-111-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ111111111111111111111111111111-1-11111-1-11111-1-1-11111-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ121111111111111111111111111111-1-11111-1-11111-1-1-11111-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ131111111111111111111111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111-1111-1-111-1-1-1-1-1-1-1-11111-1-111
χ141111111111111111111111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1111-1-11111111111-1-1-1-111-1-1
χ151111111111111111111111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-11-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ161111111111111111111111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1-1-111-1-11111-1-1-1-1111111-1-1
χ1711111111111-1-1-11111-111111-1-1-1-111-1-11111-1-11-11-1-111-111-1-11111-1-1-1111111-1-1-1-1-1-11-11111111111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-1-1-1-1-1-1-1-111ii−i−iii−i−iii−i−ii−ii−i
χ1811111111111-1-1-11111-111111-1-1-1-111-1-11111-1-11-11-1-111-111-1-11111-1-1-1111111-1-1-1-1-1-11-11111111111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1-1-1-1-1-111−i−iii−i−iii−i−iii−ii−ii
χ1911111111111-1-1-11111-111111-1-1-1-111-1-11111-1-11-11-1-111-111-1-11111-1-1-11-1-11-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-11111111-1-1ii−i−i−i−iii−i−iiii−ii−i
χ2011111111111-1-1-11111-111111-1-1-1-111-1-11111-1-11-11-1-111-111-1-11111-1-1-11-1-11-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-11111111-1-1−i−iiiii−i−iii−i−i−ii−ii
χ2111111111111-1-1-11111-111111-1-1-1-111-1-11111-1-11-11-1-1-1-1-111-1-1-1-111-1-1-1-11-1-11-11111111-1-1-111-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-111-1-1-1-1ii−i−i−i−iii−i−iii−ii−ii
χ2211111111111-1-1-11111-111111-1-1-1-111-1-11111-1-11-11-1-1-1-1-111-1-1-1-111-1-1-1-11-1-11-11111111-1-1-111-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-111-1-1-1-1−i−iiiii−i−iii−i−ii−ii−i
χ2311111111111-1-1-11111-111111-1-1-1-111-1-11111-1-11-11-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-111111111-1-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-11-1-11111ii−i−iii−i−iii−i−i−ii−ii
χ2411111111111-1-1-11111-111111-1-1-1-111-1-11111-1-11-11-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-111111111-1-1-1-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-11-1-11111−i−iii−i−iii−i−iiii−ii−i
χ2511111111111-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-11-11111-1-111-1-111-111-1-1-1-111-11111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11-1-1-11111-1-1−i−iiiii−i−i−i−iiii−i−ii
χ2611111111111-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-11-11111-1-111-1-111-111-1-1-1-111-11111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11-1-1-11111-1-1ii−i−i−i−iiiii−i−i−iii−i
χ2711111111111-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-11111-1-1-1-111−i−iii−i−iiiii−i−ii−i−ii
χ2811111111111-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-11111-1-1-1-111ii−i−iii−i−i−i−iii−iii−i
χ2911111111111-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-11-111-1-1-1-111-111-111-11111-1-1-11-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-11-1-1-11111−i−iii−i−iiiii−i−i−iii−i
χ3011111111111-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-11-111-1-1-1-111-111-111-11111-1-1-11-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1-1-11111ii−i−iii−i−i−i−iiii−i−ii
χ3111111111111-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-11-111-1-1-1-111-11-111-111111-1-1-11-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-11-1111-1-1-1-1−i−iiiii−i−i−i−iii−iii−i
χ3211111111111-1-1-11111-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-11-111-1-1-1-111-11-111-111111-1-1-11-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-11-11-1111-1-1-1-1ii−i−i−i−iiiii−i−ii−i−ii
χ332222222222222222222222-2-222222222-2-222-2-2-2-2-22-200-2-2-22-2002222-2020020000000-2-200-2-20022-2-2000000000000000000000000000-202002-2000000000000000000
χ342222222222222222222222-2-222222222-2-222-2-2-2-2-22-200-2-2-22-2002222-20-200-20000000-2-2002200-2-22200000000000000000000000000020-200-22000000000000000000
χ352222222222222222222222-2-22222-2-222-2-2-2-2-2-2-2-22-2200-2-22-2200-2-2-2-2-20200200000002200-2-200-2-222000000000000000000000000000-20200-22000000000000000000
χ362222222222222222222222-2-22222-2-222-2-2-2-2-2-2-2-22-2200-2-22-2200-2-2-2-2-20-200-200000002200220022-2-200000000000000000000000000020-2002-2000000000000000000
χ3722222222222222-2-2-2-222-2-22222-2-200-2-2-2-200-2-2220002-22-20002-20000-20000002-22-200002-20000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i0000
χ3822222222222222-2-2-2-222-2-22222-2-200-2-2-2-200-2-2220002-22-20002-20000-20000002-22-200002-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i−2i2i0000
χ3922222222222222-2-2-2-222-2-22222-2-200-2-2-2-200-2-222000-222-2000-220000-2000000-22-220000-220000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i0000
χ4022222222222222-2-2-2-222-2-22222-2-200-2-2-2-200-2-222000-222-2000-220000-2000000-22-220000-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i0000
χ4122222222222-2-2-22222-2222-2-2-2-2-2-222-2-2-2-22222-22-2-22002-2-2-220022-2-22020020000000-2200-2-20022-2-200000000000000000000000000020-200-22000000000000000000
χ4222222222222-2-2-22222-2222-2-2-2-2-2-222-2-2-2-22222-22-2-22002-2-2-220022-2-220-200-20000000-22002200-2-222000000000000000000000000000-202002-2000000000000000000
χ4322222222222-2-2-22222-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2222-2002-222-200-2-22220200200000002-200-2-200-2-22200000000000000000000000000020-2002-2000000000000000000
χ4422222222222-2-2-22222-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2222-2002-222-200-2-22220-200-200000002-200220022-2-2000000000000000000000000000-20200-22000000000000000000
χ4522222222222-2-2-2-2-2-2-2-22-2-222-2-2220022-2-200222-20002-2-2-20002-200002000000-22-2200002-200000000000000000000000022-2-2-2-222000000000000000000002-2-220000
χ4622222222222-2-2-2-2-2-2-2-22-2-222-2-2220022-2-200222-20002-2-2-20002-200002000000-22-2200002-2000000000000000000000000-2-22222-2-200000000000000000000-222-20000
χ4722222222222-2-2-2-2-2-2-2-22-2-222-2-2220022-2-200222-2000-22-2-2000-22000020000002-22-20000-2200000000000000000000000022-2-2-2-22200000000000000000000-222-20000
χ4822222222222-2-2-2-2-2-2-2-22-2-222-2-2220022-2-200222-2000-22-2-2000-22000020000002-22-20000-22000000000000000000000000-2-22222-2-2000000000000000000002-2-220000
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χ51222222222-2-222-22222-2-2-2-2222-22-2-2-2-2222-2-222-22-2-2-222-2-2-2-2-2222222-2-200-200-2-222-2-222-2-2000000000000000000000000000000000220000000000000000000000000
χ52222222222-2-222-22222-2-2-2-2222-22-2-2-2-2222-2-222-22-2-2-2-2-2-2-2-2-2-2-2-22222-220020022-2-2222222000000000000000000000000000000000-2-20000000000000000000000000
χ53222222222-2-222-22222-2-2-2-2-2-22-22-222-22-2-222-2-22-2-22-20022-22-200-2-2-2-22002002000000220000-2-200000000000000000000000000002000-202-2002-20000000000000000
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χ63222222222-2-2-2-2222222-2-2-222-22-22-2-22-222-2-2-2-2-2-2-222222-2-2222222-2-22-200-20022-2-2222-2-2-20000000000000000000000000000000002-20000000000000000000000000
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χ65222222222-2-2-2-2222222-2-2-2-2-2-22-22222-2-2-2222222-2-2200-22-2-2200-2-222-20020020000002-20000-2-20000000000000000000000000000-200020-22002-20000000000000000
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χ68222222222-2-2-2-2222222-2-2-2-2-2-22-22-2-22-2-2-2-2-2222222-200-2222-20022-2-2-200-200-2000000-2200002200000000000000000000000000002000-20-22002-20000000000000000
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χ70222222222-2-2-2-22-2-2-2-22-22222-222-200-22-2-20022-2-20002-2220002-20000-20000002-2-220000-220000000000000000-2-22222-2-2000000000000000000000000-222-200000000
χ71222222222-2-2-2-22-2-2-2-22-22222-222-200-22-2-20022-2-2000-2222000-220000-2000000-222-200002-2000000000000000022-2-2-2-222000000000000000000000000-222-200000000
χ72222222222-2-2-2-22-2-2-2-22-22222-222-200-22-2-20022-2-2000-2222000-220000-2000000-222-200002-20000000000000000-2-22222-2-20000000000000000000000002-2-2200000000
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χ10544-4-4-4-4444-4-4000-4-44404-440000004-40000-440000000000000000-4400000000000000000004-400004-40000000000000000000000000000000000000000000000000000
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χ10744-4-4-4-4444-4-4000-4-44404-44000000-4400004-400000000000000004-400000000000000000004-40000-440000000000000000000000000000000000000000000000000000
χ10844-4-4-4-4444-4-4000-4-44404-44000000-4400004-400000000000000004-40000000000000000000-4400004-40000000000000000000000000000000000000000000000000000
χ109888-88-8-88-800008-88-888000000-80800-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ110888-88-8-88-80000-8-88-88-800000080-8008000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ111888-8-88-8-8800000000000008-8000000000000000000008000000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ112888-8-88-8-8800000000000008-800000000000000000000-80000008000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ113888-8-88-8-880000000000000-8800000000000000000008000000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ114888-8-88-8-880000000000000-880000000000000000000-800000080000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11988-8-8888-8-80000000000000000000000000008-80000000000000000000400-40000004-40000000000000000000000000000000000000000000000000000000000000000
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χ12188-8-8888-8-8000000000000000000000000000-880000000000000000000400-4000000-440000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8888-8-8000000000000000000000000000-880000000000000000000-40040000004-40000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-8-88888800088-8-80-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-8-8888-8-800088-8-8088-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12516161616-16-1616-16-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12616-1600000008-88-880000-800000000000000000000000000000000000000000000000000000000000000004i−4i004i−4i00000000000000000000000000000000000000000000
χ12716-1600000008-88-880000-80000000000000000000000000000000000000000000000000000000000000000−4i4i00−4i4i00000000000000000000000000000000000000000000
χ12816-1600000008-8-88-80000800000000000000000000000000000000000000000000000000000000000000004-400-4400000000000000000000000000000000000000000000
χ12916-1600000008-8-88-8000080000000000000000000000000000000000000000000000000000000000000000-44004-400000000000000000000000000000000000000000000
χ13016-160000000-888-8-800008000000000000000000000000000000000000000000000000000000000000004-4004-40000000000000000000000000000000000000000000000
χ13116-160000000-888-8-80000800000000000000000000000000000000000000000000000000000000000000-4400-440000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).