Finite Group Databasebeta

← Group #11808721

Character table — Group #11808721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444443444444666666612121212121212121212121212121212121212121212121212121212121212121212121212122244444444444466661212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-122-1-122-1-12-1-12-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122220022000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122-1-122-1-12-1-12-1222222222-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-200-2-2000000-1-1-1-1111111110000000000000000
χ19222222222-122-1-122-1-12-1-12-1222222222-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-22200-2-20000001111-1-1-1-111110000000000000000
χ20222222222-122-1-122-1-12-1-12-1222222222-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-2-2-2002200000011111111-1-1-1-10000000000000000
χ21222222222-122-1-122-1-12-1-12-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-20000001111111111110000000000000000
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χ23222222222-122-1-122-1-12-1-12-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-222-2-21111-1-1-1-1111122-2-20022000000-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-122-1-122-1-12-1-12-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-2-2-22211111111-1-1-1-1222200-2-2000000-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-122-1-122-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200222222000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-122-1-122-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2-2-2-2-20000000000001111111100000000
χ2722222222-12-1-122-1-122-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-11111-1-1-1-11111111100002200-2-2-2-222000000000000-1-1-1-1111100000000
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χ2922222222-12-1-122-1-122-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-1111111-1-1-1-111110000220022-2-2-2-2000000000000-1-111-1-11100000000
χ3022222222-12-1-122-1-122-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-1111111-1-1-1-111110000-2-200-2-2222200000000000011-1-111-1-100000000
χ3122222222-12-1-122-1-122-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-111111111-1-1-1-100002200-2-222-2-2000000000000-1-11111-1-100000000
χ3222222222-12-1-122-1-122-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-111111111-1-1-1-10000-2-20022-2-22200000000000011-1-1-1-11100000000
χ332222-2-2-2-22222222-2-2-2-2-2-2-22-22222-2-2-2-222-2000022-2-22-2-20000000022-2-22222-2-2-2-22-2000022-2-2000000002-200000000000022-2-2000000000000000000000000
χ342222-2-2-2-22222222-2-2-2-2-2-2-22-22222-2-2-2-22-22000022-2-22-2-200000000-2-2222222-2-2-2-2-220000-2-22200000000-22000000000000-2-222000000000000000000000000
χ352222-2-2-2-22222222-2-2-2-2-2-2-22-2-2-2-2-2222222-2000022-2-22-2-20000000022-2-2-2-2-2-222222-2000022-2-200000000-22000000000000-2-222000000000000000000000000
χ362222-2-2-2-22222222-2-2-2-2-2-2-22-2-2-2-2-222222-22000022-2-22-2-200000000-2-222-2-2-2-22222-220000-2-222000000002-200000000000022-2-2000000000000000000000000
χ372222-2-2-2-22-122-1-12-211-211-2-1-22222-2-2-2-2-12-20000-1-111-11133−3−333−3−3-1-111-1-1-1-111112-20000-1-11133−3−333−3−32-2000000000000-1-11133−3−333−3−30000000000000000
χ382222-2-2-2-22-122-1-12-211-211-2-1-22222-2-2-2-2-12-20000-1-111-111−3−333−3−333-1-111-1-1-1-111112-20000-1-111−3−333−3−3332-2000000000000-1-111−3−333−3−3330000000000000000
χ392222-2-2-2-22-122-1-12-211-211-2-1-22222-2-2-2-2-1-220000-1-111-11133−3−3−3−33311-1-1-1-1-1-11111-22000011-1-133−3−3−3−333-2200000000000011-1-133−3−3−3−3330000000000000000
χ402222-2-2-2-22-122-1-12-211-211-2-1-22222-2-2-2-2-1-220000-1-111-111−3−33333−3−311-1-1-1-1-1-11111-22000011-1-1−3−33333−3−3-2200000000000011-1-1−3−33333−3−30000000000000000
χ412222-2-2-2-22-122-1-12-211-211-2-1-2-2-2-2-22222-12-20000-1-111-11133−3−333−3−3-1-1111111-1-1-1-12-20000-1-11133−3−333−3−3-2200000000000011-1-1−3−333−3−3330000000000000000
χ422222-2-2-2-22-122-1-12-211-211-2-1-2-2-2-2-22222-12-20000-1-111-111−3−333−3−333-1-1111111-1-1-1-12-20000-1-111−3−333−3−333-2200000000000011-1-133−3−333−3−30000000000000000
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χ552-22-22-2-2222-22-22-2-22-222-22-2-2−2i2i−2i2i−2i2i−2i2i2002i−2i00-222-2-22-22i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i002i−2i0000002i−2i2i−2i000000-2200000000000000-22-2200000000000000000000
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χ642-22-22-2-222-1-221-1-2-2-112-1121-2−2i2i−2i2i−2i2i−2i2i-100−2i2i001-1-111-11i−ii−ii3−i3i3−i33−33−3i−ii−ii−ii−i00−2i2i003−33−3i−ii−ii3−i3i3−i3002-20000000000i3−i3i3−i3-11-113−33−30000000000000000
χ652-22-2-222-222-22-22-22-22-2-22-2-222i−2i2i−2i−2i2i−2i2i200002i−2i-22-22-2-2200002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i00002i−2i000000002i−2i−2i2i0000002-200000000000000-222-20000000000000000
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χ672-22-2-222-222-22-22-22-22-2-22-2-22−2i2i−2i2i2i−2i2i−2i200002i−2i-22-22-2-2200002i−2i−2i2i0000−2i2i−2i2i2i−2i2i−2i00002i−2i000000002i−2i−2i2i000000-22000000000000002-2-220000000000000000
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Here i is the imaginary unit (i² = −1).