Finite Group Databasebeta

← Group #72225854

Character table — Group #72225854

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212121212121212121232323232323232323232323296969696
order1222223444444446666666888888888888888888888888448888888888881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424241616161616161616161616161616161616161616161616161616161616161616444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ91111-1-11111111-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ101111-1-11111111-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ111111-1-11111111-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111i−ii−iii−i−iii−i−i−ii−ii
χ121111-1-11111111-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−ii−ii−i−iii−i−iiii−ii−i
χ131111-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iiii−i−ii
χ141111-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i−iii−i
χ151111-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ161111-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ17222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ182222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ19222222222-2-2-2-222222222200000000000000002222-2-2-2-2-2-222-2-20000000022-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000002222-2-2-2-22222-2-2-2-20000000000000000
χ20222222222-2-2-2-222222222200000000000000002222-2-2-2-2-2-222-2-20000000022-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-22222-2-2-2-222220000000000000000
χ21222222222-2-2-2-22222222220000000000000000-2-2-2-22222-2-2-2-2220000000022-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000002222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ22222222222-2-2-2-22222222220000000000000000-2-2-2-22222-2-2-2-2220000000022-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ232222222-2-222-2-2-2-22222222000000002222-2-2-2-2000000002-20000000022-2-2-2-222-2-2-2-222-2-20000000000000000000000002222-2-2-2-2000000002222-2-2-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
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χ262222222-2-222-2-2-2-2222222200000000-2-2-2-22222000000002-200000000-2-222-2-222-2-2-2-222-2-2000000000000000000000000-2-2-2-2222200000000-2-2-2-22222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ272222222-2-2-2-222-2-222222222222-2-2-2-20000000000000000-22000022-2-20000-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-2000000002222-2-2-2-200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ282222222-2-2-2-222-2-222222222222-2-2-2-20000000000000000-22000022-2-20000-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-2000000002222-2-2-2-200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ292222222-2-2-2-222-2-22222222-2-2-2-222220000000000000000-220000-2-2220000-2-2-2-222-2-2-2-2220000000000000000-2-2-2-2222200000000-2-2-2-2222200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ302222222-2-2-2-222-2-22222222-2-2-2-222220000000000000000-220000-2-2220000-2-2-2-222-2-2-2-2220000000000000000-2-2-2-2222200000000-2-2-2-2222200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ31222222-122222222-1-1-1-1-1-1-122222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ32222222-122222222-1-1-1-1-1-1-122222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2111111110000
χ33222222-122222222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ34222222-122222222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ35222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ36222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ37222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000000000000000000022-2-2-1-1-1-111110000
χ38222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000000000000000000000-2-2221111-1-1-1-10000
χ392222-2-22222222-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ402222-2-22222222-2-2222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ412222-2-2222-2-2-2-2-2-2222-2-2-2-200000000000000002222-2-2-2-222-2-22200000000-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000002222-2-2-2-2-2-2-2-222220000000000000000
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χ442222-2-2222-2-2-2-2-2-2222-2-2-2-20000000000000000-2-2-2-222222222-2-200000000-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ452222-2-22-2-222-2-222222-2-2-2-2000000002222-2-2-2-200000000-2200000000-2-22222-2-222-2-222-2-20000000000000000000000002222-2-2-2-200000000-2-2-2-22222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ462222-2-22-2-222-2-222222-2-2-2-2000000002222-2-2-2-200000000-2200000000-2-22222-2-222-2-222-2-20000000000000000000000002222-2-2-2-200000000-2-2-2-22222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ472222-2-22-2-222-2-222222-2-2-2-200000000-2-2-2-2222200000000-220000000022-2-222-2-222-2-222-2-2000000000000000000000000-2-2-2-22222000000002222-2-2-2-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ482222-2-22-2-222-2-222222-2-2-2-200000000-2-2-2-2222200000000-220000000022-2-222-2-222-2-222-2-2000000000000000000000000-2-2-2-22222000000002222-2-2-2-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ492222-2-22-2-2-2-22222222-2-2-2-22222-2-2-2-200000000000000002-20000-2-22200002222-2-2-2-2-2-22200000000000000002222-2-2-2-200000000-2-2-2-2222200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000
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Here i is the imaginary unit (i² = −1).