Finite Group Databasebeta

← Group #72311401

Character table — Group #72311401

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size11222222244444444444444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222444444442222222244444444888888888888888888888888888888882444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111
χ91111111111111111111-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ101111111111111111111-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ111111111111111111111-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ121111111111111111111-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ131111111111111111111-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iii
χ141111111111111111111-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iii
χ151111111111111111111-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i
χ161111111111111111111-1-1-1-1-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i
χ1711-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-11-1-111-11-111-1-111-1-11-1111-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-11-1-111-11-111-1-111-1-11-1111-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ1911-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-11-1-111-11-111-1-111-1-11-1111-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ2011-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-11-1-111-11-111-1-111-1-11-1111-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2111-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-11-1-111-11-111-1-111-1-11-1111-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−ii−ii−ii
χ2211-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-11-1-111-11-111-1-111-1-11-1111-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11-11-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−ii−ii−ii
χ2311-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-11-1-111-11-111-1-111-1-11-1111-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−ii−ii−i
χ2411-1-1-1-11111111-1-1-1-1-1-11111-1-111-1-11-1-111-11-111-1-111-1-11-1111-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11-11-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−ii−ii−i
χ2511-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ2711-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2811-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ2911-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-1-111-1
χ3011-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-111-1
χ3111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-111-1-11
χ3211-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-111-1-11
χ3322222222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22-22-22-22-2-2-222-222-20000000000000000000000000000000022-2-22-22-200000000000000000000000000000000
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χ3622222222222222222-2-2-2-222-2-2-2-222-2-2-2222-222-22-2-22-22-2-2-2-22-2-2200000000000000000000000000000000-2-2222-22-200000000000000000000000000000000
χ3722222222222-2-222-2-22222-2-22222-2-222222222-2-2-2-2-2-2-2-2-2-22-222-2222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ3822222222222-2-222-2-22222-2-22222-2-222222222-2-2-2-2-2-2-2-2-2-22-222-22-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ3922222222222-2-222-2-222-2-222-2-22222222-2-2-22-2-2-2-2-22222-2-2-22-2-22-222-2-222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ4022222222222-2-222-2-222-2-222-2-22222222-2-2-22-2-2-2-2-22222-2-2-22-2-22-2-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000000000
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χ4322222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-22-22-222-22-222-222-22200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ4422222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-22-22-222-22-222-222-2220000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
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χ58222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-22222222222222222-2-2-2-2-2-2-2-20000000000000000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ59222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-2-2-22-22222-2-2-2-2-2-222222200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
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χ6922-2-2-2-222222-2-2-2-222-2-222-2-2-2-222222-2-222-22-2-2-222-2-222-222-22-22-222-2-2-2-22222-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ7022-2-2-2-222222-2-2-2-222-2-222-2-2-2-222222-2-222-22-2-2-222-2-222-222-22-22-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000
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χ7622-2-2-2-2222-2-22222-2-222-2-2-2-222-2-2222-2-2-2-2222-2-22222-2-22-22-22-22-20000000000000000000000000000000000000000000000000000000000000000-222-22-2-22
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χ894444-4-44-4-4004-4004-400004-400004-40004-440-4000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
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χ11144-44-44-44-4-44004-400-440000004-400-44-40004000000000000000004-400-44000000000000000000000000000000000000000000000000000000000000000000
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χ11644-4-4444-4-4004-400-440000-4400004-4000-4440-400000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000
χ11744-4-4444-4-400-44004-400004-40000-44000-4440-4000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ11844-4-4444-4-400-44004-400004-40000-44000-4440-400000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
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χ12532-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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