Finite Group Databasebeta

← Group #11808517

Character table — Group #11808517

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222244444444444444444412121212121212122222222244444444888888888888888888242424242424242433333333666666661212121212121212121212121212121212123636363636363636
order12222222366666664444441212121212121212121212124444444436666666366666661212121212121212121212121212121212121212121212121212222222226666666644444412121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-22-2-2-22222-2-2-2-2000000000000000000002-20000222-22-2-2-22222-2-2-2-2000000000000000000002-20000222-22-2-2-22222-2-2-2-2000000000000000000002-20000
χ14222-22-2-2-22222-2-2-2-200000000000000000000-220000222-22-2-2-22222-2-2-2-200000000000000000000-220000222-22-2-2-22222-2-2-2-200000000000000000000-220000
χ1522-22-2-22-222-2-2-222-20000000000000000002i−2i00000022-22-2-22-222-2-2-222-20000000000000000002i−2i00000022-22-2-22-222-2-2-222-20000000000000000002i−2i000000
χ1622-22-2-22-222-2-2-222-2000000000000000000−2i2i00000022-22-2-22-222-2-2-222-2000000000000000000−2i2i00000022-22-2-22-222-2-2-222-2000000000000000000−2i2i000000
χ1722-2-2-22-2222-2-22-2-22002i−2i0000002i2i−2i−2i00000000000022-2-2-22-2222-2-22-2-22002i−2i0000002i2i−2i−2i00000000000022-2-2-22-2222-2-22-2-22002i−2i0000002i2i−2i−2i000000000000
χ1822-2-2-22-2222-2-22-2-2200−2i2i000000−2i−2i2i2i00000000000022-2-2-22-2222-2-22-2-2200−2i2i000000−2i−2i2i2i00000000000022-2-2-22-2222-2-22-2-2200−2i2i000000−2i−2i2i2i000000000000
χ1922-2-2-22-22-1-111-111-1002i−2i0033−3−3−i−iii−i3−i3i3i30000000022-2-2-22-22-1-111-111-1002i−2i0033−3−3−i−iii−i3−i3i3i30000000022-2-2-22-22-1-111-111-1002i−2i0033−3−3−i−iii−i3−i3i3i300000000
χ2022-2-2-22-22-1-111-111-1002i−2i00−3−333−i−iiii3i3−i3−i30000000022-2-2-22-22-1-111-111-1002i−2i00−3−333−i−iiii3i3−i3−i30000000022-2-2-22-22-1-111-111-1002i−2i00−3−333−i−iiii3i3−i3−i300000000
χ2122-2-2-22-22-1-111-111-100−2i2i0033−3−3ii−i−ii3i3−i3−i30000000022-2-2-22-22-1-111-111-100−2i2i0033−3−3ii−i−ii3i3−i3−i30000000022-2-2-22-22-1-111-111-100−2i2i0033−3−3ii−i−ii3i3−i3−i300000000
χ2222-2-2-22-22-1-111-111-100−2i2i00−3−333ii−i−i−i3−i3i3i30000000022-2-2-22-22-1-111-111-100−2i2i00−3−333ii−i−i−i3−i3i3i30000000022-2-2-22-22-1-111-111-100−2i2i00−3−333ii−i−i−i3−i3i3i300000000
χ232-222-2-2-222-22-2-22-220000000000000000000000002i−2i2-222-2-2-222-22-2-22-220000000000000000000000002i−2i2-222-2-2-222-22-2-22-220000000000000000000000002i−2i
χ242-222-2-2-222-22-2-22-22000000000000000000000000−2i2i2-222-2-2-222-22-2-22-22000000000000000000000000−2i2i2-222-2-2-222-22-2-22-22000000000000000000000000−2i2i
χ252-22-2-222-22-22-22-22-22i−2i00002i−2i2i−2i00000000000000002-22-2-222-22-22-22-22-22i−2i00002i−2i2i−2i00000000000000002-22-2-222-22-22-22-22-22i−2i00002i−2i2i−2i0000000000000000
χ262-22-2-222-22-22-22-22-2−2i2i0000−2i2i−2i2i00000000000000002-22-2-222-22-22-22-22-2−2i2i0000−2i2i−2i2i00000000000000002-22-2-222-22-22-22-22-2−2i2i0000−2i2i−2i2i0000000000000000
χ272-22-2-222-2-11-11-11-112i−2i0000−ii−ii−i3i3−i3i33−33−3000000002-22-2-222-2-11-11-11-112i−2i0000−ii−ii−i3i3−i3i33−33−3000000002-22-2-222-2-11-11-11-112i−2i0000−ii−ii−i3i3−i3i33−33−300000000
χ282-22-2-222-2-11-11-11-112i−2i0000−ii−iii3−i3i3−i3−33−33000000002-22-2-222-2-11-11-11-112i−2i0000−ii−iii3−i3i3−i3−33−33000000002-22-2-222-2-11-11-11-112i−2i0000−ii−iii3−i3i3−i3−33−3300000000
χ292-22-2-222-2-11-11-11-11−2i2i0000i−ii−i−i3i3−i3i3−33−33000000002-22-2-222-2-11-11-11-11−2i2i0000i−ii−i−i3i3−i3i3−33−33000000002-22-2-222-2-11-11-11-11−2i2i0000i−ii−i−i3i3−i3i3−33−3300000000
χ302-22-2-222-2-11-11-11-11−2i2i0000i−ii−ii3−i3i3−i33−33−3000000002-22-2-222-2-11-11-11-11−2i2i0000i−ii−ii3−i3i3−i33−33−3000000002-22-2-222-2-11-11-11-11−2i2i0000i−ii−ii3−i3i3−i33−33−300000000
χ312-2-2222-2-22-2-2222-2-200002i−2i000000002i−2i−2i2i000000002-2-2222-2-22-2-2222-2-200002i−2i000000002i−2i−2i2i000000002-2-2222-2-22-2-2222-2-200002i−2i000000002i−2i−2i2i00000000
χ322-2-2222-2-22-2-2222-2-20000−2i2i00000000−2i2i2i−2i000000002-2-2222-2-22-2-2222-2-20000−2i2i00000000−2i2i2i−2i000000002-2-2222-2-22-2-2222-2-20000−2i2i00000000−2i2i2i−2i00000000
χ332-2-2222-2-2-111-1-1-11100002i−2i−i3i3i3−i3−333−3−iii−i000000002-2-2222-2-2-111-1-1-11100002i−2i−i3i3i3−i3−333−3−iii−i000000002-2-2222-2-2-111-1-1-11100002i−2i−i3i3i3−i3−333−3−iii−i00000000
χ342-2-2222-2-2-111-1-1-11100002i−2ii3−i3−i3i33−3−33−iii−i000000002-2-2222-2-2-111-1-1-11100002i−2ii3−i3−i3i33−3−33−iii−i000000002-2-2222-2-2-111-1-1-11100002i−2ii3−i3−i3i33−3−33−iii−i00000000
χ352-2-2222-2-2-111-1-1-1110000−2i2i−i3i3i3−i33−3−33i−i−ii000000002-2-2222-2-2-111-1-1-1110000−2i2i−i3i3i3−i33−3−33i−i−ii000000002-2-2222-2-2-111-1-1-1110000−2i2i−i3i3i3−i33−3−33i−i−ii00000000
χ362-2-2222-2-2-111-1-1-1110000−2i2ii3−i3−i3i3−333−3i−i−ii000000002-2-2222-2-2-111-1-1-1110000−2i2ii3−i3−i3i3−333−3i−i−ii000000002-2-2222-2-2-111-1-1-1110000−2i2ii3−i3−i3i3−333−3i−i−ii00000000
χ372-2-2-22-2222-2-22-2-22200000000000000000000002-2002-2-2-22-2222-2-22-2-22200000000000000000000002-2002-2-2-22-2222-2-22-2-22200000000000000000000002-200
χ382-2-2-22-2222-2-22-2-2220000000000000000000000-22002-2-2-22-2222-2-22-2-2220000000000000000000000-22002-2-2-22-2222-2-22-2-2220000000000000000000000-2200
χ39444-44-4-4-4-2-2-2-2222200000000000000000000000000444-44-4-4-4-2-2-2-2222200000000000000000000000000444-44-4-4-4-2-2-2-2222200000000000000000000000000
χ4044-44-4-44-4-2-2222-2-220000000000000000000000000044-44-4-44-4-2-2222-2-220000000000000000000000000044-44-4-44-4-2-2222-2-2200000000000000000000000000
χ414-444-4-4-44-22-222-22-2000000000000000000000000004-444-4-4-44-22-222-22-2000000000000000000000000004-444-4-4-44-22-222-22-200000000000000000000000000
χ424-4-4-44-444-222-222-2-2000000000000000000000000004-4-4-44-444-222-222-2-2000000000000000000000000004-4-4-44-444-222-222-2-200000000000000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
χ5122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-211111111111100000000
χ5222222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000-2-2-2-2-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-100000000
χ5322222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000-2-2-2-2-2-2-2-21111111122-2-222-1-1-1-11111-1-1-1-100000000
χ5422222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000-2-2-2-2-2-2-2-2111111112222-2-2-1-1-1-1-1-1-1-1111100000000
χ55222-22-2-2-22222-2-2-2-2000000000000000000002-20000222-22-2-2-22222-2-2-2-2000000000000000000002-20000-2-2-22-2222-2-2-2-2222200000000000000000000-220000
χ56222-22-2-2-22222-2-2-2-200000000000000000000-220000222-22-2-2-22222-2-2-2-200000000000000000000-220000-2-2-22-2222-2-2-2-22222000000000000000000002-20000
χ5722-22-2-22-222-2-2-222-20000000000000000002i−2i00000022-22-2-22-222-2-2-222-20000000000000000002i−2i000000-2-22-222-22-2-2222-2-22000000000000000000−2i2i000000
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χ652-222-2-2-222-22-2-22-220000000000000000000000002i−2i2-222-2-2-222-22-2-22-220000000000000000000000002i−2i-22-2-2222-2-22-222-22-2000000000000000000000000−2i2i
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χ682-22-2-222-22-22-22-22-2−2i2i0000−2i2i−2i2i00000000000000002-22-2-222-22-22-22-22-2−2i2i0000−2i2i−2i2i0000000000000000-22-222-2-22-22-22-22-222i−2i00002i−2i2i−2i0000000000000000
χ692-22-2-222-2-11-11-11-112i−2i0000−ii−ii−i3i3−i3i33−33−3000000002-22-2-222-2-11-11-11-112i−2i0000−ii−ii−i3i3−i3i33−33−300000000-22-222-2-221-11-11-11-1−2i2i0000i−ii−ii3−i3i3−i3−33−3300000000
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χ85222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ862222222222222222222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000
χ87222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111000000000000000000000000000000000000000000
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χ892222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000000000
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χ912222222222222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1000000000000000000000000000000000000000000
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χ9344444444-2-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-211111111111100000000000000000000000000000000000000000000000000
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χ10244-4-4-44-4444-4-44-4-4400−4i4i000000−4i−4i4i4i000000000000-2-2222-22-2-2-222-222-2002i−2i0000002i2i−2i−2i000000000000000000000000000000000000000000000000000000
χ10344-4-4-44-44-2-222-222-2004i−4i002323−23−23−2i−2i2i2i−2i3−2i32i32i300000000-2-2222-22-211-1-11-1-1100−2i2i00−3−333ii−i−ii3i3−i3−i300000000000000000000000000000000000000000000000000
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χ1194-4-4444-4-4-222-2-2-2220000−4i4i−2i32i32i3−2i323−23−23232i−2i−2i2i00000000-222-2-2-2221-1-1111-1-100002i−2ii3−i3−i3i3−333−3−iii−i00000000000000000000000000000000000000000000000000
χ1204-4-4444-4-4-222-2-2-2220000−4i4i2i3−2i3−2i32i3−232323−232i−2i−2i2i00000000-222-2-2-2221-1-1111-1-100002i−2i−i3i3i3−i33−3−33−iii−i00000000000000000000000000000000000000000000000000
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χ1268-8-8-88-888-444-444-4-400000000000000000000000000-4444-44-4-42-2-22-2-22200000000000000000000000000000000000000000000000000000000000000000000

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