Finite Group Databasebeta

← Group #72254888

Character table — Group #72254888

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222244444444444444666688888888888888888888121212121212121212121212121216161616161616161616161616161616161616161616161616161616161616162424242424242424242424242424242448484848
order1222222222344444444666666666121212121212121222222222224488888888888822222244444444246666666688121212122424242424242424242424242424242422228888888888884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ11111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ12111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ17111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-111-1-111-1-111-1-11-111-1-111-1-111-1-11-111-1-11-1111-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ18111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1-1-111-1-11111-1-11-111-1-111-1-111-1-1-1111-1-11-1-1-1-111-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-11-11
χ19111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1111-1-1-1-111-1-1111-1-1-11111-1-1-1-1111-111-1-1-1111-11-11-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1-11
χ20111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-11-1-11111-1-1-1-1111-1-1-11111-1-1-1-111-1111-1-1-11-1-11-1-1111-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-111-1
χ21111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-111-1-111-1-1-1-1111-111-1-111-1-111-1-1-11-1-1111-1-1-1-111-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-11-11
χ22111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1-1-111-1-111-1-1111-111-1-111-1-111-1-11-1-1-1111-1111-11-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1111-11-1
χ23111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-11-1-111-11-1-11-1-111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-1
χ24111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11-1-11111-1-111-1-11-1-1-11111-1-1-1-1111-1-1-111-1111-11-11-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-11-1-11
χ25111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-111-1-111-1-111-1-1-11-1-111-1-111-1-1111-111-1-11-1111-11-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11
χ26111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1-1-111-1-11111-1-1-11-1-111-1-111-1-111-1111-1-11-1-1-1-111-11111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1111-11-1
χ27111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-1111-1-1-1-111-1-111-1111-1-1-1-11111-1-11-111-1-1-1111-11-11-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-111-1
χ28111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11-1-11111-1-1-1-111-1111-1-1-1-11111-1-1-1111-1-1-11-1-11-1-1111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-11
χ29111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-111-1-111-1-1-1-111-11-1-111-1-111-1-111-11-1-1111-1-1-1-111-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-11-1
χ30111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-1-111-1-111-1-111-11-1-111-1-111-1-1111-1-1-1111-1111-11-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-1-11-11
χ31111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-1111-1-1-1-11111-1-1-1111-1-1-1-11111-1-1-11-1-111-11-1-11-1-111111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111-1-11
χ32111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-1-11111-1-111-1-1-1111-1-1-1-11111-1-11-1-1-111-1111-11-11-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-111-1
χ3322222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-222220000000000002i−2i2i−2i0000220000-2-2-2-200000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000
χ3422222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222000000000000−2i2i−2i2i0000220000-2-2-2-20000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000
χ3522222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000002i−2i2i−2i0000-2-20000222200000000000000000000000000002i−2i2i−2i000000000000−2i2i−2i2i00000000
χ3622222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000−2i2i−2i2i0000-2-2000022220000000000000000000000000000−2i2i−2i2i0000000000002i−2i2i−2i00000000
χ372222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222222222222222220000000000000022-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
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χ392222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000022-1-1-1-111-1-1-2-211-1-11111-1-1-1-11111111100000000000000000000
χ402222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000-2-2-1-1-1-1111122111111111111-1-1-1-1-1-1-1-100000000000000000000
χ412222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2222222222222-2-2-2-200000000000000-2-21111-1-111-2-2-1-1111111-1-1-1-1-1-1-1-1111100000000000000000000
χ422222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000221111-1-1-1-122-1-1-1-1111111111111-1-1-1-100000000000000000000
χ432222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000-2-211111111221111-1-1-1-1-1-1-1-11111-1-1-1-100000000000000000000
χ442222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000022111111-1-1-2-211-1-1-1-1-1-11111-1-1-1-1111100000000000000000000
χ45222222-2-2-2-222222-2-2-2-222222-2-2-2-22222-2-2-2-222-2-20000000000002i−2i−2i2i00002-20000-2-22200000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000
χ46222222-2-2-2-222222-2-2-2-222222-2-2-2-22222-2-2-2-222-2-2000000000000−2i2i2i−2i00002-20000-2-2220000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00000000
χ47222222-2-2-2-222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2220000000000002i−2i−2i2i0000-22000022-2-200000000000000000000000000002i−2i−2i2i000000000000−2i2i2i−2i00000000
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χ49222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111111111-1-1-1-1000022-2-22-22-222-2-222-2-222-2-2000000000000002-2-1-111-11-1-12-2-1111-1-111-1-111-1-111-1-11100000000000000000000
χ50222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111111111-1-1-1-1000022-2-22-22-2-2-222-2-22222-2-200000000000000-22-1-111-1111-22-11-1-1-1-11111-1-111-1-111-1-100000000000000000000
χ51222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111111111-1-1-1-1000022-2-2-22-2222-2-2-2-222-2-222000000000000002-2-1-1111-1-1-1-221-11111-1-1-1-11111-1-111-1-100000000000000000000
χ52222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111111111-1-1-1-1000022-2-2-22-22-2-22222-2-2-2-22200000000000000-22-1-1111-1112-21-1-1-111-1-111-1-1-1-111-1-11100000000000000000000
χ53222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111111111-1-1-1-10000-2-2222-22-222-2-222-2-2-2-22200000000000000-2211-1-1-1111-22-11-1-111-1-1-1-111-1-11111-1-100000000000000000000
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χ56222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111111111-1-1-1-10000-2-222-22-22-2-22222-2-222-2-2000000000000002-211-1-11-1-1-1-221-111-1-11111-1-1-1-11111-1-100000000000000000000
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χ622222-2-222-2-22-2-222-222-2222-2-222-2-2-2-222-2-222222200000000-22-2200000000-2-20000-22-22000000000000000000000000-22-22000000000000-22-22000000000000
χ632222-2-222-2-22-2-222-222-2222-2-222-2-2-2-222-2-222-2-2-2-2000000002-22-2000000002200002-22-20000000000000000000000002-22-2000000000000-22-22000000000000
χ642222-2-222-2-22-2-222-222-2222-2-222-2-2-2-222-2-222-2-2-2-200000000-22-22000000002200002-22-2000000000000000000000000-22-220000000000002-22-2000000000000
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χ692222-2-2-2-2222-2-2222-2-22222-2-2-2-222-2-22222-2-222-2-200002-2-22000000000000-2222-2-22-2-22-2-2220000002-20000-2200000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).