Finite Group Databasebeta

← Group #72236847

Character table — Group #72236847

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222244444444444488888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161664646464646464646464646464646464
order12222222222222222222222222222222222222222222222222444444444444444444442222444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-11-11-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ1811111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-11-11-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ1911111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-11-11-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i−ii−ii−ii−ii
χ2011111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-11-11-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−ii−iii−ii−ii−ii−i
χ2111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11
χ2211111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1
χ2311111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-1-11-11-11-111-11-1
χ2411111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-111-11-11-11-1-11-11
χ2511111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iii−i−iii−i−ii
χ2611111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−iii−i−iii−i
χ2711111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iii−i−ii−iii−i−iii−i
χ2811111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−iii−ii−i−iii−i−ii
χ2911111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ3011111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ3111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-11-111-1-111-11-1-11
χ3211111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-111-1
χ33222222222222222222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2220000000000000000000000000000000000000000
χ34222222222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-20000000000000000000000000000000000000000
χ35222222222222222222-2-2-2-222-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000-2-2-2-20000000000000000000000000000000000000000
χ36222222222222222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-20000000022220000000000000000000000000000000000000000
χ3722222222222222-2-2-2-22222-2-222-2-2-2-2222222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000
χ3822222222222222-2-2-2-22222-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000000022220000000000000000000000000000000000000000
χ3922222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2222200000000-2-2220000000000000000000000000000000000000000
χ4022222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-20000000022-2-20000000000000000000000000000000000000000
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χ772222-2-2-2-222-2-22200000000000022-2-2-2-222000000002-2-22-222-2-222-20000000022-2-2-2-22202200220000000-2-2-2-2002-2-2200000000-222-20000000000000000
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χ852222-2-2-2-222-2-222000000000000-2-222-2-222000000002-2-222-2-222-2-2200000000-2-222-2-222200-2200-20000-2-20000220000-222-2-222-200000000000000000000
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χ872222-2-2-2-222-2-222000000000000-2-222-2-22200000000-222-2-222-22-2-220000000022-2-222-2-2200-2200-20000-2-200002200002-2-222-2-2200000000000000000000
χ882222-2-2-2-222-2-222000000000000-2-222-2-22200000000-222-2-222-22-2-220000000022-2-222-2-2-2002-20020000220000-2-20000-222-2-222-200000000000000000000
χ8944444444-4-4-4-44-444-4-444-4-44-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044444444-4-4-4-44-444-4-4-4-4444-4-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144444444-4-4-4-44-4-4-44444-4-4-444-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9244444444-4-4-4-44-4-4-444-4-444-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ93444444-4-4-4-4-44-44000044-4-400-4400004-44-4000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ94444444-4-4-4-4-44-44000044-4-400-440000-44-4400000000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ95444444-4-4-4-4-44-440000-4-444004-400004-44-400000000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ96444444-4-4-4-4-44-440000-4-444004-40000-44-44000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ974444-4-444-4-44-4-4444-4-40000-440000004-4-440000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000
χ984444-4-444-4-44-4-4444-4-40000-44000000-444-4000000000000000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ994444-4-444-4-44-4-44-4-44400004-40000004-4-44000000000000000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ1004444-4-444-4-44-4-44-4-44400004-4000000-444-40000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000
χ1014444-4-4-4-4-4-4444-40000000000004-4-440000000000000000000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000
χ1024444-4-4-4-4-4-4444-40000000000004-4-44000000000000000000000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000
χ1034444-4-4-4-4-4-4444-4000000000000-444-40000000000000000000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000
χ1044444-4-4-4-4-4-4444-4000000000000-444-4000000000000000000000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000
χ1058-88-8008-8000000008-8000000000000000000004-44-40000000000000000000000004-44-40000000000000000000000000000000000000000000000000000
χ1068-88-8008-8000000008-800000000000000000000-44-44000000000000000000000000-44-440000000000000000000000000000000000000000000000000000
χ1078-88-8008-800000000-88000000000000000000004-44-4000000000000000000000000-44-440000000000000000000000000000000000000000000000000000
χ1088-88-8008-800000000-8800000000000000000000-44-440000000000000000000000004-44-40000000000000000000000000000000000000000000000000000
χ1098-88-800-880000008-800000000000000000000004-4-440000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ1108-88-800-880000008-80000000000000000000000-444-4000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ1118-88-800-88000000-8800000000000000000000004-4-44000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ1128-88-800-88000000-880000000000000000000000-444-40000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ1138-8-888-8000000000000008-80000000000004-44-40000000000000000000000004-44-400000000000000000000000000000000000000000000000000000000
χ1148-8-888-8000000000000008-8000000000000-44-44000000000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ1158-8-888-800000000000000-880000000000004-44-4000000000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ1168-8-888-800000000000000-88000000000000-44-440000000000000000000000004-44-400000000000000000000000000000000000000000000000000000000
χ1178-8-88-880000000000008-8000000000000004-4-440000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ1188-8-88-880000000000008-800000000000000-444-4000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ1198-8-88-88000000000000-88000000000000004-4-44000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ1208-8-88-88000000000000-8800000000000000-444-40000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ1211616-16-16000016-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1221616-16-160000-16160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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