Finite Group Databasebeta

← Group #72338871

Character table — Group #72338871

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size11112222224444444444444488888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232326464646464646464
order12222244442222444444444422222222222222222222222444444444444222222224444444444444444444444444444444444244488888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ11111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ13111111111111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ14111111111111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ15111111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1
χ16111111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ17111111-1-1111111-1-11-1111111-1111111111111-1-111-1-111-1-1-1-1-1-1-111-1-111111-1-111-1-1-11-11-1-1-1-1-11-11-1-1-1-1-11-11-1-111111-11-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ18111111-1-1111111-1-11-1111111-1111111111111-1-111-1-111-1-1-1-1-1-1-111-1-111111-1-111-1-1-11-11-1-1-1-1-11-11-1-1-1-1-11-11-1-111111-11-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ19111111-1-1111111-1-11-1111111-11111111111-1-111-1-111-1-111-1-1-1-1-111-1-1111-1-111-1-111-1-111-1-1-1-1-1-11-11-1-1-1-1-11-11-11111-11-11-1-11111-1-1-1-11111-1-111-1-1-11-111-1-11
χ20111111-1-1111111-1-11-1111111-11111111111-1-111-1-111-1-111-1-1-1-1-111-1-1111-1-111-1-111-1-111-1-1-1-1-1-11-11-1-1-1-1-11-11-11111-11-11-1-111-1-11111-1-1-1-111-1-1111-11-1-111-1
χ21111111-1-1111111-1-11-1111111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-111-1-111-111111-11-111111-11-1-1-1-1-1-11-11-1-1-11111-1-1-1-111-1-111-1-1111-11-11-1-11
χ22111111-1-1111111-1-11-1111111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-111-1-111-111111-11-111111-11-1-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-111-1-1-11-11-111-1
χ23111111-1-1111111-1-11-1111111-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111111-1-111-1-1-11-11-11111-11-111111-11-11-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ24111111-1-1111111-1-11-1111111-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111111-1-111-1-1-11-11-11111-11-111111-11-11-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ25111111-1-1111111-1-11-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-11-1-1111-1-11-1-1111-1-11111-1-11-1-11-1-11111-1-111-1-111-1-1-1-1111-1-11-11-11
χ26111111-1-1111111-1-11-1-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-11-1-1111-1-11-1-1111-1-11111-1-11-1-11-1-111-1-111-1-111-1-11111-1-1-111-11-11-1
χ27111111-1-1111111-1-11-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-11-11-11-1-111-111-1-1-111-111-1111-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ28111111-1-1111111-1-11-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-11-11-11-1-111-111-1-1-111-111-1111-1-1-111-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ29111111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111111-1-11111-1-11-11-1111-1-11-1-1111-1-11-1-111-1-1111-1-1111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ30111111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111111-1-11111-1-11-11-1111-1-11-1-1111-1-11-1-111-1-1111-1-1111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ31111111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1111-1-1-111-111-1-1-111-11-1-111-111-1-1-11111-1-111-1-1-1-11111-1-1-111-1-11-11
χ32111111-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1111-1-1-111-111-1-1-111-11-1-111-111-1-1-111-1-111-1-11111-1-1-1-1111-1-111-11-1
χ3322222222222-22-222220000-2-2-200000022220000222222222-22-2-200002-2-22-22-200000-2-2000022002200-2-200-2-2000-2-200-2-20000000000000000000000000000
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χ402222222222-22-2222220000-2-2-200-2-2-2-20000-2-2-2-200002222-22-22-20000-22-2-22-2200000-2-200-2-200-2-200220022000220022000000000000000000000000000000
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χ4622222222-2-22222-2-2-22222222-22200000000-2-2-2-2-2-2-2-20000-2-2222-2-222-2-2-200000000-200-220000222200002222-20000-2-2-2-20000000000000000000000000000
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χ61222222-2-2222-22-2-2-22-20000-2-220000002222000022-2-222-2-2-22-22200002-2-22-2-2200000-220000-2-2002-2002200-22000-2-200-220000000000000000000000000000
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χ9844-4-4-44000044-4-4000044-4-44-404-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i200−2i22i200000000
χ9944-4-4-44000044-4-40000-4-4444-40-440000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i200−2i22i200000000
χ10044-4-4-44000044-4-40000-4-4444-40-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2002i2−2i200000000
χ10144-4-4-440000-4-444000044-4-44-40-44000000000000000000000000000000000000000000000000000000000000000000000000000000000022−220022−220000000000
χ10244-4-4-440000-4-444000044-4-44-40-440000000000000000000000000000000000000000000000000000000000000000000000000000000000−222200−22220000000000
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χ10444-4-4-440000-4-4440000-4-4444-404-40000000000000000000000000000000000000000000000000000000000000000000000000000000000−22220022−220000000000
χ1058888-8-888-8-80000-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068888-8-8-8-8-8-800008-88800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ10888-8-8-880000-888-800000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1148-88-80000-88000000004-44-400000-444-44-4-4400000000000000000-4400000000000000000000000000000000000000000000000000000000000000000000000
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χ1248-8-8800-880000000000-444-40000000000000-444-44-4-44000000000004-4000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).