Finite Group Databasebeta

← Group #72267632

Character table — Group #72267632

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111122224444444444444888888888888888888888816161616161616161632323232111122224444444444444888888888888888888888816161616161616161632323232
order1222222224444444444442222444444444444444444444448888888822222222244444444444422224444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111111111-1-111111111-1-1-1-111-1-1-11-11-1-1-1-1-111-1-1111111111111-1-1-1-1111111111-1-111111111-1-1-1-111-1-1-11-11-1-1-1-1-111-1-1
χ6111111111111-1-1-1-1111111111-1-1111111-1-111-1-1-1-111-1-11-11-1-1-1-1-1-111111111111111-1-1-1-1111111111-1-1111111-1-111-1-1-1-111-1-11-11-1-1-1-1-1-111
χ7111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-11-11111-1-111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-11-11111-1-111
χ8111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-11111111-1-1111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-11111111-1-1
χ91111-1-111-11-1-111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-111-1-11-11-11111-1-111-11-1-111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-111-1-11-11-1
χ101111-1-111-11-1-111111111111-1-111-1-111-1-1-1-111-1-111-1-1-11-1-1111-1-1-11-111111-1-111-11-1-111111111111-1-111-1-111-1-1-1-111-1-111-1-1-11-1-1111-1-1-11-11
χ111111-1-111-11-1-1111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111-11-111111-1-111-11-1-1111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111-11-11
χ121111-1-111-11-1-1111111111-1-11111-1-1-1-111-1-111-1-111-1-1-11-1-11-1-1111-11-11111-1-111-11-1-1111111111-1-11111-1-1-1-111-1-111-1-111-1-1-11-1-11-1-1111-11-1
χ131111-1-111-11-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111-1-1111-1-111111-1-111-11-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111-1-1111-1-11
χ141111-1-111-11-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111-111-11111-1-111-11-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111-111-1
χ151111-1-111-11-1-1-1-1-1-111111-1-111-1-1-1-1-1-111111111-1-1-1-11-1-11111-1-1-111-11111-1-111-11-1-1-1-1-1-111111-1-111-1-1-1-1-1-111111111-1-1-1-11-1-11111-1-1-111-1
χ161111-1-111-11-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-111-1-11-1-111111-1-111-11-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-111-1-11-1-11
χ172222222222222222-2-2-2-220000-2-2-2-200000000220000-20000000000002222222222222222-2-2-2-220000-2-2-2-200000000220000-2000000000000
χ18222222222222-2-2-2-2-2-2-2-22000022-2-200000000-2-200002000000000000222222222222-2-2-2-2-2-2-2-22000022-2-200000000-2-200002000000000000
χ19222222222-2-2-2000022-2-2-20000002-20000002200002200-20-200000000222222222-2-2-2000022-2-2-20000002-20000002200002200-20-200000000
χ20222222222-2-2-2000022-2-2-20000002-2000000-2-20000-2-20020200000000222222222-2-2-2000022-2-2-20000002-2000000-2-20000-2-20020200000000
χ21222222222-2-2-20000-2-222-2000000-22000022000022000-20-2000000000222222222-2-2-20000-2-222-2000000-22000022000022000-20-2000000000
χ22222222222-2-2-20000-2-222-2000000-220000-2-20000-2-2000202000000000222222222-2-2-20000-2-222-2000000-220000-2-20000-2-2000202000000000
χ232222-2-222-22-2-22222-2-2-2-220000-2-22200000000-2-2000020000000000002222-2-222-22-2-22222-2-2-2-220000-2-22200000000-2-200002000000000000
χ242222-2-222-22-2-2-2-2-2-2-2-2-2-220000222200000000220000-20000000000002222-2-222-22-2-2-2-2-2-2-2-2-2-220000222200000000220000-2000000000000
χ252222-2-222-2-222000022-2-2-2000000-22000000220000-2-20020-2000000002222-2-222-2-222000022-2-2-2000000-22000000220000-2-20020-200000000
χ262222-2-222-2-222000022-2-2-2000000-22000000-2-200002200-202000000002222-2-222-2-222000022-2-2-2000000-22000000-2-200002200-20200000000
χ272222-2-222-2-2220000-2-222-20000002-20000220000-2-200020-20000000002222-2-222-2-2220000-2-222-20000002-20000220000-2-200020-2000000000
χ282222-2-222-2-2220000-2-222-20000002-20000-2-2000022000-2020000000002222-2-222-2-2220000-2-222-20000002-20000-2-2000022000-202000000000
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χ322-2-22002-202002i2i−2i−2i-22-22-2-2200−2i2i00-2200000000000000000−2i2i0000002-2-22002-202002i2i−2i−2i-22-22-2-2200−2i2i00-2200000000000000000−2i2i000000
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χ352-2-22002-20200−2i−2i2i2i-22-22-22-2002i−2i002-200000000000000000−2i2i0000002-2-22002-20200−2i−2i2i2i-22-22-22-2002i−2i002-200000000000000000−2i2i000000
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χ37444444-4-4-400000000000022220000-2-2-2-200000000000000000000000444444-4-4-400000000000022220000-2-2-2-200000000000000000000000
χ38444444-4-4-4000000000000-2-2-2-20000222200000000000000000000000444444-4-4-4000000000000-2-2-2-20000222200000000000000000000000
χ394444-4-4-4-4400000000000022-2-20000-2-222000000000000000000000004444-4-4-4-4400000000000022-2-20000-2-22200000000000000000000000
χ404444-4-4-4-44000000000000-2-222000022-2-2000000000000000000000004444-4-4-4-44000000000000-2-222000022-2-200000000000000000000000
χ4144-4-44-40000002-22-2000000000000000002-22-22-22-22-2000000000000044-4-44-40000002-22-2000000000000000002-22-22-22-22-20000000000000
χ4244-4-44-40000002-22-200000000000000000-22-222-2-22-22000000000000044-4-44-40000002-22-200000000000000000-22-222-2-22-220000000000000
χ4344-4-44-4000000-22-22000000000000000002-2-22-222-2-22000000000000044-4-44-4000000-22-22000000000000000002-2-22-222-2-220000000000000
χ4444-4-44-4000000-22-2200000000000000000-222-2-22-222-2000000000000044-4-44-4000000-22-2200000000000000000-222-2-22-222-20000000000000
χ4544-4-4-440000002-22-2000000000000000002-2-22-22-222-2000000000000044-4-4-440000002-22-2000000000000000002-2-22-22-222-20000000000000
χ4644-4-4-440000002-22-200000000000000000-222-2-222-2-22000000000000044-4-4-440000002-22-200000000000000000-222-2-222-2-220000000000000
χ4744-4-4-44000000-22-22000000000000000002-22-22-2-22-22000000000000044-4-4-44000000-22-22000000000000000002-22-22-2-22-220000000000000
χ4844-4-4-44000000-22-2200000000000000000-22-222-22-22-2000000000000044-4-4-44000000-22-2200000000000000000-22-222-22-22-20000000000000
χ494-4-44004-40-40000004-4-444000000000000000000000000000000000004-4-44004-40-40000004-4-44400000000000000000000000000000000000
χ504-4-44004-40-4000000-444-44000000000000000000000000000000000004-4-44004-40-4000000-444-4400000000000000000000000000000000000
χ514-4-4400-44004-40000000002-22-20000-22-22000000000000000000000004-4-4400-44004-40000000002-22-20000-22-2200000000000000000000000
χ524-4-4400-44004-4000000000-22-2200002-22-2000000000000000000000004-4-4400-44004-4000000000-22-2200002-22-200000000000000000000000
χ534-4-4400-4400-440000000002-2-220000-222-2000000000000000000000004-4-4400-4400-440000000002-2-220000-222-200000000000000000000000
χ544-4-4400-4400-44000000000-222-200002-2-22000000000000000000000004-4-4400-4400-44000000000-222-200002-2-2200000000000000000000000
χ558-88-8000000004i−4i−4i4i00000000000000000000000000000000000000008-88-8000000004i−4i−4i4i0000000000000000000000000000000000000000
χ568-88-800000000−4i4i4i−4i00000000000000000000000000000000000000008-88-800000000−4i4i4i−4i0000000000000000000000000000000000000000
χ5711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ58111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11111-1-1-1-11111
χ59111111111111111111111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ60111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-111111111-1-1-1-1
χ61111111111111-1-1-1-1111111111-1-111111111-1-1-1-111-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-11-111111-1-111
χ62111111111111-1-1-1-1111111111-1-1111111-1-111-1-1-1-111-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-11-1111111-1-1
χ63111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-11111-1-11111-1-1111-11-11-1-1-1-111-1-1
χ64111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1111111-1-11111-1-111-11-1-1-1-1-1-1-111
χ651111-1-111-11-1-111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-111-1-11-11-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-11-1-111-11-11
χ661111-1-111-11-1-111111111111-1-111-1-111-1-1-1-111-1-111-1-1-11-1-1111-1-1-11-11-1-1-1-111-1-11-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111-111-1-1-1111-11-1
χ671111-1-111-11-1-1111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111-11-11-1-1-1-111-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1111-1-11-11-1
χ681111-1-111-11-1-1111111111-1-11111-1-1-1-111-1-111-1-111-1-1-11-1-11-1-1111-11-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1111-111-111-1-1-11-11
χ691111-1-111-11-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111-1-1111-1-11-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-111-1-111-1-1-111-1
χ701111-1-111-11-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111-111-1-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ711111-1-111-11-1-1-1-1-1-111111-1-111-1-1-1-1-1-111111111-1-1-1-11-1-11111-1-1-111-1-1-1-1-111-1-11-1111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-1111-1-11
χ721111-1-111-11-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-111-1-11-1-11-1-1-1-111-1-11-1111111-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-111-1
χ732222222222222222-2-2-2-220000-2-2-2-200000000220000-2000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-20000222200000000-2-200002000000000000
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χ75222222222-2-2-2000022-2-2-20000002-20000002200002200-20-200000000-2-2-2-2-2-2-2-2-22220000-2-2222000000-22000000-2-20000-2-20020200000000
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χ792222-2-222-22-2-22222-2-2-2-220000-2-22200000000-2-200002000000000000-2-2-2-222-2-22-222-2-2-2-22222-2000022-2-200000000220000-2000000000000
χ802222-2-222-22-2-2-2-2-2-2-2-2-2-220000222200000000220000-2000000000000-2-2-2-222-2-22-22222222222-20000-2-2-2-200000000-2-200002000000000000
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χ822222-2-222-2-222000022-2-2-2000000-22000000-2-200002200-20200000000-2-2-2-222-2-222-2-20000-2-22220000002-2000000220000-2-20020-200000000
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χ872-2-22002-202002i2i−2i−2i-22-22-22-200−2i2i002-2000000000000000002i−2i000000-222-200-220-200−2i−2i2i2i2-22-22-22002i−2i00-2200000000000000000−2i2i000000
χ882-2-22002-202002i2i−2i−2i-22-22-2-2200−2i2i00-2200000000000000000−2i2i000000-222-200-220-200−2i−2i2i2i2-22-222-2002i−2i002-2000000000000000002i−2i000000
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χ922-2-22002-20200−2i−2i2i2i-22-22-2-22002i−2i00-22000000000000000002i−2i000000-222-200-220-2002i2i−2i−2i2-22-222-200−2i2i002-200000000000000000−2i2i000000
χ93444444-4-4-400000000000022220000-2-2-2-200000000000000000000000-4-4-4-4-4-4444000000000000-2-2-2-20000222200000000000000000000000
χ94444444-4-4-4000000000000-2-2-2-20000222200000000000000000000000-4-4-4-4-4-444400000000000022220000-2-2-2-200000000000000000000000
χ954444-4-4-4-4400000000000022-2-20000-2-22200000000000000000000000-4-4-4-44444-4000000000000-2-222000022-2-200000000000000000000000
χ964444-4-4-4-44000000000000-2-222000022-2-200000000000000000000000-4-4-4-44444-400000000000022-2-20000-2-22200000000000000000000000
χ9744-4-44-40000002-22-2000000000000000002-22-22-22-22-20000000000000-4-444-44000000-22-2200000000000000000-22-22-22-22-220000000000000
χ9844-4-44-40000002-22-200000000000000000-22-222-2-22-220000000000000-4-444-44000000-22-22000000000000000002-22-2-222-22-20000000000000
χ9944-4-44-4000000-22-22000000000000000002-2-22-222-2-220000000000000-4-444-440000002-22-200000000000000000-222-22-2-222-20000000000000
χ10044-4-44-4000000-22-2200000000000000000-222-2-22-222-20000000000000-4-444-440000002-22-2000000000000000002-2-222-22-2-220000000000000
χ10144-4-4-440000002-22-2000000000000000002-2-22-22-222-20000000000000-4-4444-4000000-22-2200000000000000000-222-22-22-2-220000000000000
χ10244-4-4-440000002-22-200000000000000000-222-2-222-2-220000000000000-4-4444-4000000-22-22000000000000000002-2-222-2-222-20000000000000
χ10344-4-4-44000000-22-22000000000000000002-22-22-2-22-220000000000000-4-4444-40000002-22-200000000000000000-22-22-222-22-20000000000000
χ10444-4-4-44000000-22-2200000000000000000-22-222-22-22-20000000000000-4-4444-40000002-22-2000000000000000002-22-2-22-22-220000000000000
χ1054-4-44004-40-40000004-4-44400000000000000000000000000000000000-444-400-4404000000-444-4-400000000000000000000000000000000000
χ1064-4-44004-40-4000000-444-4400000000000000000000000000000000000-444-400-44040000004-4-44-400000000000000000000000000000000000
χ1074-4-4400-44004-40000000002-22-20000-22-2200000000000000000000000-444-4004-400-44000000000-22-2200002-22-200000000000000000000000
χ1084-4-4400-44004-4000000000-22-2200002-22-200000000000000000000000-444-4004-400-440000000002-22-20000-22-2200000000000000000000000
χ1094-4-4400-4400-440000000002-2-220000-222-200000000000000000000000-444-4004-4004-4000000000-222-200002-2-2200000000000000000000000
χ1104-4-4400-4400-44000000000-222-200002-2-2200000000000000000000000-444-4004-4004-40000000002-2-220000-222-200000000000000000000000
χ1118-88-8000000004i−4i−4i4i0000000000000000000000000000000000000000-88-8800000000−4i4i4i−4i0000000000000000000000000000000000000000
χ1128-88-800000000−4i4i4i−4i0000000000000000000000000000000000000000-88-88000000004i−4i−4i4i0000000000000000000000000000000000000000

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