Finite Group Databasebeta

← Group #72266333

Character table — Group #72266333

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222244444444888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232646464646464646464646464
order12222222222222222222222222222222222222224444444444442222224444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1111-11-11-11-1-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1111-11-11-11-1-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111111-1-11-11-11-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ121111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111111-1-11-11-11-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ131111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-111-111-1-11-11-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ141111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-111-111-1-11-11-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ151111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-11111-11-111-11-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ161111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-11111-11-111-11-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ17111111-1-1111-1-11111-1111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ18111111-1-1111-1-11111-1111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ19111111-1-1111-1-11111-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1111-1-111-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ20111111-1-1111-1-11111-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1111-1-111-1-1-1-111-1-111-1-111-1-111−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ21111111-1-1111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111ii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ22111111-1-1111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ23111111-1-1111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ24111111-1-1111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ25111111-1-1111-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-111-11-1-11-1-111-11-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111ii−i−i−i−iiii−i−iii−i−iii−i−ii
χ26111111-1-1111-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-111-11-1-11-1-111-11-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−iii−i−iii−i−iii−i
χ27111111-1-1111-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-11-111-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiii−i−ii−iii−i−iii−i
χ28111111-1-1111-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-11-111-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ29111111-1-1111-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11-11-1-111-1-1-1111-1-11-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii−iii−i
χ30111111-1-1111-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11-11-1-111-1-1-1111-1-11-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−ii−i−ii
χ31111111-1-1111-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-11-1-111-1-11-1-1111-11-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111ii−i−i−i−iii−iii−i−iii−ii−i−ii
χ32111111-1-1111-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-1-11-1-111-1-11-1-1111-11-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111−i−iiiii−i−ii−i−iii−i−ii−iii−i
χ3322222222222222222222-2-22222220000222222-2-2-2-200002222-2-200220000-2-2-2-20022000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ3422222222222222222222-2-22222220000-2-2-2-222-2-2-2-20000-2-2-2-2-2-200-2-20000-2-2-2-200-2-2000000000000222222220000000000000000000000000000
χ35222222222222222222-2-222-2-222-2-222220000-2-222-2-222220000-2-2220000002-22-222000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ36222222222222222222-2-222-2-222-2-2-2-2-2-20000-2-222-2-2-2-2-2-20000-2-2-2-20000002-22-2-2-200000022222222000000000000000000000000000000000000
χ37222222222222222222-2-2-2-2-2-222-2-200000000-2-2-2-222000000002200002222-22-22000022220000000000000000-2-2-2-2-2-2-2-200000000000000000000
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χ832222-2-2-2-222-2-2200002-222-200000000-2-222002-2-22-220022-2-2002-202-200-20-200000-220002200002-2-222-2-22000000002-2-2200000000000000000000
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χ9144444444-4-4-4-4-4-4-4444000000-4400000000000000000000000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ9244444444-4-4-4-4-4-4-4444000000-440000000000000000000000000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ93444444-4-4-4-4-44444-4-4-4000000-4400000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ94444444-4-4-4-4-44444-4-4-4000000-440000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ95444444-4-4-4-4-444-4-444-40000004-400000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ96444444-4-4-4-4-444-4-444-40000004-40000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ978888-8-888-8-88-880000-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988888-8-8-8-8-8-888-80000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8008-8000000000000004-4004-400004-44-400000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-8000000000000004-4004-40000-44-440000000000-44-44000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8008-800000000000000-4400-4400004-4-4400000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8008-800000000000000-4400-440000-444-40000000000-444-4000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-800-88000000000000004-400-4400004-44-40000000000-44-44000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-800-88000000000000004-400-440000-44-4400000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-8800000000000000-44004-400004-4-440000000000-444-4000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-8800000000000000-44004-40000-444-400000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-80000000008-8000000000004-44-400000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-80000000008-800000000000-44-440000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-8000000000-88000000000004-4-4400000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-8000000000-8800000000000-444-40000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-8800000008-800000000000004-44-40000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-8800000008-80000000000000-44-4400000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-880000000-8800000000000004-4-440000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-880000000-880000000000000-444-400000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1151616-16-16000016-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1161616-16-160000-16160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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