Finite Group Databasebeta

← Group #72282776

Character table — Group #72282776

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size111122222222224444444488888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232646464646464646464646464
order12222244444444222244442222222222222444444444444444444444444444444442222222444444444444444444444444444444424448888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ5111111111111111111111111111-1-1-1-111-1-1111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111-1-1111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ911111111111111111111111-1-1-1-111-1-1111111111-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ1011111111111111111111111-1-1-1-111-1-1111111111-1-1-1-111-1-11111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ1111111111111111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111
χ1211111111111111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1
χ1311111111111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ1411111111111111111111111-1-1-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ1511111111111111111111111-1-1-1-1-1-111-1-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1611111111111111111111111-1-1-1-1-1-111-1-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ17111111-1-1-1-1-1-11111111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111-111-1-11-11-11-11-1-1-1-1111-11-11-111-1-111-1-111-1-11-1-1111-1-11-11-11-11-11-11-1
χ18111111-1-1-1-1-1-11111111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111-111-1-11-11-11-11-1-1-1-1111-11-11-111-1-111-1-111-1-1-111-1-1-111-11-11-11-11-11-11
χ19111111-1-1-1-1-1-11111111-111-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111111-1-1-1111-1-11-111-1-111-1-11-1-11-1111-1-1-1-111-1-1111-1-1111-1-11-1-11-111-1-11-11
χ20111111-1-1-1-1-1-11111111-111-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111111-1-1-1111-1-11-111-1-111-1-11-1-11-1111-1-1-1-111-1-111-111-1-1-111-111-11-1-111-11-1
χ21111111-1-1-1-1-1-11111111-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-111111-111-1-11-111-1-1-1-1-111-1-1111-1-111-1-1-1-1111-1-11-1-111-111-1-111-11-1-11
χ22111111-1-1-1-1-1-11111111-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-111111-111-1-11-111-1-1-1-1-111-1-1111-1-111-1-1-1-111-111-111-1-11-1-111-1-11-111-1
χ23111111-1-1-1-1-1-11111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1111-1-11-1-1-1-1-11-111-1-1111111-11-111-111-1-1-1-11111-1-11-1-11-1-111-11-111-11-1-111-1
χ24111111-1-1-1-1-1-11111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1111-1-11-1-1-1-1-11-111-1-1111111-11-111-111-1-1-1-11111-1-1-111-111-1-11-11-1-11-111-1-11
χ25111111-1-1-1-1-1-11111111-111-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1111-1-11-1-1111-11-11-1-11111-1-11-11-11-1-1-111-1-111-1-1111-1-11-1-1111-11-11-1-11-11-11
χ26111111-1-1-1-1-1-11111111-111-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1111-1-11-1-1111-11-11-1-11111-1-11-11-11-1-1-111-1-111-1-111-111-111-1-1-11-11-111-11-11-1
χ27111111-1-1-1-1-1-11111111-111-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111111-1-1111-1-11-1-11-11-111-1-1111-1-11-11-1-11111-1-111-1-11-1-11-1-1111-1-11-11-111-11-1
χ28111111-1-1-1-1-1-11111111-111-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111111-1-1111-1-11-1-11-11-111-1-1111-1-11-11-1-11111-1-111-1-1-111-111-1-1-111-11-11-1-11-11
χ29111111-1-1-1-1-1-11111111-111-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-11111-111-1-11-1-111-1-11111-1-11-1-1111-1-1-111-1-11-11-111-1
χ30111111-1-1-1-1-1-11111111-111-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-11111-111-1-11-1-111-1-11111-1-1-111-1-1-1111-1-111-11-11-1-11
χ31111111-1-1-1-1-1-11111111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-111111-11111-11-111-11-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-1111-1-1111-1-1-11-111-1-111-1-11
χ32111111-1-1-1-1-1-11111111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-111111-11111-11-111-11-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-111-111-1-1-1111-11-1-111-1-111-1
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χ362222222222222222-2-222-2-2-2000000-2-2-2-2002-2-22-2000000-2-2-2-2000000222200002-2-2-222002200-2-2002-22002200220000000000-2-2-2-200000000000000000000
χ3722222222222222-2-22222-2-2-2222222220000-22-2-22222222220000-2-2-2-200000000-22-2-22-20000220000-2-220000-2-20000-2-2-2-20000000000000000000000000000
χ3822222222222222-2-22222-2-2-22222-2-2-2-20000-22-2-222222-2-2-2-20000222200000000-22-22-220000-2-2000022-20000220000-2-2-2-20000000000000000000000000000
χ3922222222222222-2-22222-2-2-2-2-2-2-222-2-20000-22-2-22-2-2-2-222-2-20000-2-2-2-200000000-22-22-22000022000022-20000-2-2000022220000000000000000000000000000
χ4022222222222222-2-22222-2-2-2-2-2-2-2-2-2220000-22-2-22-2-2-2-2-2-2220000222200000000-22-2-22-20000-2-20000-2-22000022000022220000000000000000000000000000
χ4122222222222222-2-2-2-222222000000220022-2-22-2-200000022002200000000-2-2-2-2-2-22-2-2222000000222-2-222000000-2-20000-2-2-2-2000000000000000000000000
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χ4422222222222222-2-2-2-222222000000-2-200-2-2-2-22-2-2000000-2-200-2-2000000002222-2-2222-222000000-2-2-22222000000220000-2-2-2-2000000000000000000000000
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χ4922222222-2-2-2-2-2-222-2-2-22-2-2222-2-2000022002-2-2-2222-2-20000-2-2000000-2-2220000-2220002-20000-22000002-200002-2002-22-22-22-2000000000000000000000000
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χ5522222222-2-2-2-2-2-2-2-222-22-2-220000-2-2000000-22-22-200002200000022-2-2000000002-220002-2-222-200000002-2-22-2200000000-22-22-22-2200000000000000000000
χ5622222222-2-2-2-2-2-2-2-222-22-2-220000-2-2000000-22-22-200002200000022-2-2000000002-22000-222-22-20000000-222-2-22000000002-22-22-22-200000000000000000000
χ5722222222-2-2-2-2-2-2-2-2-2-2-2222-222-2-200000022-2-222222-2-2000000-2-20000000022-2-222-200000-2200002-200000-220000-22-22-2200002-22-200000000000000000000
χ5822222222-2-2-2-2-2-2-2-2-2-2-2222-222-2-2000000-2-2-2-222222-2-20000002200000000-2-22222-2000002-20000-22000002-200002-2-22-220000-22-2200000000000000000000
χ5922222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-22200000022-2-2222-2-222000000-2-20000000022-2-222-2000002-200002-2000002-20000-222-22-20000-22-2200000000000000000000
χ6022222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-222000000-2-2-2-2222-2-2220000002200000000-2-22222-200000-220000-2200000-2200002-22-22-200002-22-200000000000000000000
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χ63222222-2-22222-2-22222-2-22220000-2-20022-2-2-2-2-2220000-2-20022-2-2-2-2-2-22222-2-2-2-2-2-2-2000000022-2-222000000022-2-22200000000000000000000000000000000
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χ68222222-2-22222-2-222-2-2-2-2-2-2-2-2-2220000-2-200-2222-222-2-20000-2-200000022220000-2220002-200002200000-220000-2-200-222-22-2-22000000000000000000000000
χ69222222-2-22222-2-2-2-222-2-2-2-2-20000220000002-22-22000022000000-2-2-2-2000000002-220002-2-22-2-20000000-222-22200000000-222-22-2-2200000000000000000000
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χ75222222-2-22222-2-2-2-2-2-2-2-2222-2-2220000002222-2-2-222-2-20000002200000000-2-2-2-222-2000002-20000-2-200000-220000222-2-2200002-2-2200000000000000000000
χ76222222-2-22222-2-2-2-2-2-2-2-2222-2-222000000-2-222-2-2-222-2-2000000-2-200000000222222-200000-22000022000002-20000-2-22-2-220000-222-200000000000000000000
χ77222222-2-2-2-2-2-22222-2-22-2-2-22000000222200-222-22000000-2-2-2-2000000-2-22200002-2-22-2200-2-2002-200-2-22002200-220000000000-2-22200000000000000000000
χ78222222-2-2-2-2-2-22222-2-22-2-2-2200000022-2-200-222-22000000-2-22200000022-2-200002-2-22-22002200-2200-2-2200-2-2002-2000000000022-2-200000000000000000000
χ79222222-2-2-2-2-2-22222-2-22-2-2-22000000-2-22200-222-2200000022-2-2000000-2-22200002-2-2-22-20022002-20022-200-2-200-22000000000022-2-200000000000000000000
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χ81222222-2-2-2-2-2-222-2-2222-2-2-222222222200002-222-2-2-2-2-2-2-2-2-20000-2-22200000000-22-2-22200002-20000-22-20000-220000-2-2220000000000000000000000000000
χ82222222-2-2-2-2-2-222-2-2222-2-2-222222-2-2-2-200002-222-2-2-2-2-22222000022-2-200000000-22-22-2-20000-2200002-2200002-20000-2-2220000000000000000000000000000
χ83222222-2-2-2-2-2-222-2-2222-2-2-22-2-2-2-222-2-200002-222-22222-2-2220000-2-22200000000-22-22-2-200002-200002-220000-22000022-2-20000000000000000000000000000
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χ85222222-2-2-2-2-2-222-2-2-2-22-222-200000022002222-222000000-2-200-2-20000000022-2-2-2-22-2-2-2-2-2000000-22222220000002-2000022-2-2000000000000000000000000
χ86222222-2-2-2-2-2-222-2-2-2-22-222-20000002200-2-222-222000000-2-2002200000000-2-222-2-22-2-2-2220000002-2222-2-2000000-220000-2-222000000000000000000000000
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χ904444-4-44444-4-4440000-4-40000000004-40000000000000004-4000000000000000000000000000000000000000000000000000000000-2-222-22-22000000000000
χ914444-4-44444-4-4440000-4-4000000000-44000000000000000-4400000000000000000000000000000000000000000000000000000000022-2-2-22-22000000000000
χ924444-4-44444-4-4440000-4-4000000000-44000000000000000-44000000000000000000000000000000000000000000000000000000000-2-2222-22-2000000000000
χ934444-4-4-4-4-4-444440000-440000000004-4000000000000000-440000000000000000000000000000000000000000000000000000000002-22-22-2-22000000000000
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χ954444-4-4-4-4-4-444440000-44000000000-440000000000000004-40000000000000000000000000000000000000000000000000000000002-22-2-222-2000000000000
χ964444-4-4-4-4-4-444440000-44000000000-440000000000000004-4000000000000000000000000000000000000000000000000000000000-22-222-2-22000000000000
χ974-4-44-44000000004-44-4004-400000000000000000000004-4004-44-4004-4004-44-4000000000000000000000000000000000000000000000000000000000000000
χ984-4-44-44000000004-44-4004-400000000000000000000004-400-44-44004-400-44-44000000000000000000000000000000000000000000000000000000000000000
χ994-4-44-44000000004-44-4004-40000000000000000000000-44004-4-4400-44004-4-44000000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-44000000004-44-4004-40000000000000000000000-4400-444-400-4400-444-4000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44000000004-4-4400-44000004-400004-400000000000004-4004-40000-44004-40000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-44000000004-4-4400-44000004-40000-440000000000000-44004-400004-400-440000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-44000000004-4-4400-4400000-4400004-40000000000000-4400-4400004-4004-40000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-44000000004-4-4400-4400000-440000-4400000000000004-400-440000-4400-440000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-4400000000-444-400-440000000004-44-40000000004-400000000-444-40000-440000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-4400000000-444-400-440000000004-4-44000000000-44000000004-44-400004-40000000000000000000000000000000000000000000000000000000000000
χ1074-4-44-4400000000-444-400-44000000000-444-4000000000-44000000004-4-440000-440000000000000000000000000000000000000000000000000000000000000
χ1084-4-44-4400000000-444-400-44000000000-44-440000000004-400000000-44-4400004-40000000000000000000000000000000000000000000000000000000000000
χ1094-4-44-4400000000-44-44004-4000004-4004-4000000000000000004-4-4400-4400-44000000000000000000000000000000000000000000000000000000000000000
χ1104-4-44-4400000000-44-44004-4000004-400-4400000000000000000-44-44004-4004-4000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-4400000000-44-44004-400000-44004-400000000000000000-444-400-44004-4000000000000000000000000000000000000000000000000000000000000000
χ1124-4-44-4400000000-44-44004-400000-4400-44000000000000000004-44-4004-400-44000000000000000000000000000000000000000000000000000000000000000
χ1138888-8-888-8-888-8-800008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148888-8-8-8-888-8-8-8-8000088000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8008i−8i8i−8i008-80000000004-44-400000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8008i−8i8i−8i008-8000000000-44-440000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8008i−8i−8i8i00-880000000004-4-4400000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8008i−8i−8i8i00-88000000000-444-40000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-800−8i8i8i−8i00-880000000004-4-440000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-800−8i8i8i−8i00-88000000000-444-400000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-800−8i8i−8i8i008-80000000004-44-40000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-800−8i8i−8i8i008-8000000000-44-4400000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12316-1616-1600000016i−16i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12416-1616-16000000−16i16i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12516-16-161616-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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