Finite Group Databasebeta

← Group #11808300

Character table — Group #11808300

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222244444444444444444412121212121212122222222244444444888888888888888888242424242424242433333333666666661212121212121212121212121212121212123636363636363636
order122222223666666622444466661212121212121212444444443666666636666666661212121266661212121212121212121212121212121222222222666666662244446666121212121212121244444444
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
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
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
χ13222-2-2-2-22222-2-2-22-2000000000000000000002i−2i0000222-2-2-2-22222-2-2-22-2000000000000000000002i−2i0000222-2-2-2-22222-2-2-22-2000000000000000000002i−2i0000
χ14222-2-2-2-22222-2-2-22-200000000000000000000−2i2i0000222-2-2-2-22222-2-2-22-200000000000000000000−2i2i0000222-2-2-2-22222-2-2-22-200000000000000000000−2i2i0000
χ1522-222-2-2-222-22-2-2-220000000000000000000000002i−2i22-222-2-2-222-22-2-2-220000000000000000000000002i−2i22-222-2-2-222-22-2-2-220000000000000000000000002i−2i
χ1622-222-2-2-222-22-2-2-22000000000000000000000000−2i2i22-222-2-2-222-22-2-2-22000000000000000000000000−2i2i22-222-2-2-222-22-2-2-22000000000000000000000000−2i2i
χ1722-2-2-222-222-2-222-2-2002i−2i0000002i2i−2i−2i00000000000022-2-2-222-222-2-222-2-2002i−2i0000002i2i−2i−2i00000000000022-2-2-222-222-2-222-2-2002i−2i0000002i2i−2i−2i000000000000
χ1822-2-2-222-222-2-222-2-200−2i2i000000−2i−2i2i2i00000000000022-2-2-222-222-2-222-2-200−2i2i000000−2i−2i2i2i00000000000022-2-2-222-222-2-222-2-200−2i2i000000−2i−2i2i2i000000000000
χ1922-2-2-222-2-1-111-1-111002i−2i00−i3−i3i3i3−i−iii33−3−30000000022-2-2-222-2-1-111-1-111002i−2i00−i3−i3i3i3−i−iii33−3−30000000022-2-2-222-2-1-111-1-111002i−2i00−i3−i3i3i3−i−iii33−3−300000000
χ2022-2-2-222-2-1-111-1-111002i−2i00i3i3−i3−i3−i−iii−3−3330000000022-2-2-222-2-1-111-1-111002i−2i00i3i3−i3−i3−i−iii−3−3330000000022-2-2-222-2-1-111-1-111002i−2i00i3i3−i3−i3−i−iii−3−33300000000
χ2122-2-2-222-2-1-111-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−3330000000022-2-2-222-2-1-111-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−3330000000022-2-2-222-2-1-111-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000
χ2222-2-2-222-2-1-111-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−30000000022-2-2-222-2-1-111-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−30000000022-2-2-222-2-1-111-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−300000000
χ232-222-22-2-22-22-22-2-2200000000000000000000002i−2i002-222-22-2-22-22-22-2-2200000000000000000000002i−2i002-222-22-2-22-22-22-2-2200000000000000000000002i−2i00
χ242-222-22-2-22-22-22-2-220000000000000000000000−2i2i002-222-22-2-22-22-22-2-220000000000000000000000−2i2i002-222-22-2-22-22-22-2-220000000000000000000000−2i2i00
χ252-22-22-22-22-222-22-2-200002i−2i000000002i−2i2i−2i000000002-22-22-22-22-222-22-2-200002i−2i000000002i−2i2i−2i000000002-22-22-22-22-222-22-2-200002i−2i000000002i−2i2i−2i00000000
χ262-22-22-22-22-222-22-2-20000−2i2i00000000−2i2i−2i2i000000002-22-22-22-22-222-22-2-20000−2i2i00000000−2i2i−2i2i000000002-22-22-22-22-222-22-2-20000−2i2i00000000−2i2i−2i2i00000000
χ272-22-22-22-2-11-1-11-11100002i−2i−i3i3−i3i33−33−3−ii−ii000000002-22-22-22-2-11-1-11-11100002i−2i−i3i3−i3i33−33−3−ii−ii000000002-22-22-22-2-11-1-11-11100002i−2i−i3i3−i3i33−33−3−ii−ii00000000
χ282-22-22-22-2-11-1-11-11100002i−2ii3−i3i3−i3−33−33−ii−ii000000002-22-22-22-2-11-1-11-11100002i−2ii3−i3i3−i3−33−33−ii−ii000000002-22-22-22-2-11-1-11-11100002i−2ii3−i3i3−i3−33−33−ii−ii00000000
χ292-22-22-22-2-11-1-11-1110000−2i2i−i3i3−i3i3−33−33i−ii−i000000002-22-22-22-2-11-1-11-1110000−2i2i−i3i3−i3i3−33−33i−ii−i000000002-22-22-22-2-11-1-11-1110000−2i2i−i3i3−i3i3−33−33i−ii−i00000000
χ302-22-22-22-2-11-1-11-1110000−2i2ii3−i3i3−i33−33−3i−ii−i000000002-22-22-22-2-11-1-11-1110000−2i2ii3−i3i3−i33−33−3i−ii−i000000002-22-22-22-2-11-1-11-1110000−2i2ii3−i3i3−i33−33−3i−ii−i00000000
χ312-2-22-2-2222-2-2-2-22222-200002-2-2200000000000000002-2-22-2-2222-2-2-2-22222-200002-2-2200000000000000002-2-22-2-2222-2-2-2-22222-200002-2-220000000000000000
χ322-2-22-2-2222-2-2-2-2222-220000-222-200000000000000002-2-22-2-2222-2-2-2-2222-220000-222-200000000000000002-2-22-2-2222-2-2-2-2222-220000-222-20000000000000000
χ332-2-22-2-222-11111-1-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i3000000002-2-22-2-222-11111-1-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i3000000002-2-22-2-222-11111-1-1-12-20000-111-1−i3i3i3−i3−i3i3i3−i300000000
χ342-2-22-2-222-11111-1-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i3000000002-2-22-2-222-11111-1-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i3000000002-2-22-2-222-11111-1-1-12-20000-111-1i3−i3−i3i3i3−i3−i3i300000000
χ352-2-22-2-222-11111-1-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i3000000002-2-22-2-222-11111-1-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i3000000002-2-22-2-222-11111-1-1-1-2200001-1-11−i3i3i3−i3i3−i3−i3i300000000
χ362-2-22-2-222-11111-1-1-1-2200001-1-11i3−i3−i3i3−i3i3i3−i3000000002-2-22-2-222-11111-1-1-1-2200001-1-11i3−i3−i3i3−i3i3i3−i3000000002-2-22-2-222-11111-1-1-1-2200001-1-11i3−i3−i3i3−i3i3i3−i300000000
χ372-2-2-222-222-2-222-22-20000000000000000002-20000002-2-2-222-222-2-222-22-20000000000000000002-20000002-2-2-222-222-2-222-22-20000000000000000002-2000000
χ382-2-2-222-222-2-222-22-2000000000000000000-220000002-2-2-222-222-2-222-22-2000000000000000000-220000002-2-2-222-222-2-222-22-2000000000000000000-22000000
χ39444-4-4-4-44-2-2-2222-2200000000000000000000000000444-4-4-4-44-2-2-2222-2200000000000000000000000000444-4-4-4-44-2-2-2222-2200000000000000000000000000
χ4044-444-4-4-4-2-22-2222-20000000000000000000000000044-444-4-4-4-2-22-2222-20000000000000000000000000044-444-4-4-4-2-22-2222-200000000000000000000000000
χ414-444-44-4-4-22-22-222-2000000000000000000000000004-444-44-4-4-22-22-222-2000000000000000000000000004-444-44-4-4-22-22-222-200000000000000000000000000
χ424-4-4-444-44-222-2-22-22000000000000000000000000004-4-4-444-44-222-2-22-22000000000000000000000000004-4-4-444-44-222-2-22-2200000000000000000000000000
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
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-111
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
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
χ55222-2-2-2-22222-2-2-22-2000000000000000000002i−2i0000222-2-2-2-22222-2-2-22-2000000000000000000002i−2i0000-2-2-22222-2-2-2-2222-2200000000000000000000−2i2i0000
χ56222-2-2-2-22222-2-2-22-200000000000000000000−2i2i0000222-2-2-2-22222-2-2-22-200000000000000000000−2i2i0000-2-2-22222-2-2-2-2222-22000000000000000000002i−2i0000
χ5722-222-2-2-222-22-2-2-220000000000000000000000002i−2i22-222-2-2-222-22-2-2-220000000000000000000000002i−2i-2-22-2-2222-2-22-2222-2000000000000000000000000−2i2i
χ5822-222-2-2-222-22-2-2-22000000000000000000000000−2i2i22-222-2-2-222-22-2-2-22000000000000000000000000−2i2i-2-22-2-2222-2-22-2222-20000000000000000000000002i−2i
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χ6322-2-2-222-2-1-111-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−3330000000022-2-2-222-2-1-111-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000-2-2222-2-2211-1-111-1-1002i−2i00i3i3−i3−i3−i−iii33−3−300000000
χ6422-2-2-222-2-1-111-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−30000000022-2-2-222-2-1-111-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−300000000-2-2222-2-2211-1-111-1-1002i−2i00−i3−i3i3i3−i−iii−3−33300000000
χ652-222-22-2-22-22-22-2-2200000000000000000000002i−2i002-222-22-2-22-22-22-2-2200000000000000000000002i−2i00-22-2-22-222-22-22-222-20000000000000000000000−2i2i00
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χ682-22-22-22-22-222-22-2-20000−2i2i00000000−2i2i−2i2i000000002-22-22-22-22-222-22-2-20000−2i2i00000000−2i2i−2i2i00000000-22-22-22-22-22-2-22-22200002i−2i000000002i−2i2i−2i00000000
χ692-22-22-22-2-11-1-11-11100002i−2i−i3i3−i3i33−33−3−ii−ii000000002-22-22-22-2-11-1-11-11100002i−2i−i3i3−i3i33−33−3−ii−ii00000000-22-22-22-221-111-11-1-10000−2i2ii3−i3i3−i3−33−33i−ii−i00000000
χ702-22-22-22-2-11-1-11-11100002i−2ii3−i3i3−i3−33−33−ii−ii000000002-22-22-22-2-11-1-11-11100002i−2ii3−i3i3−i3−33−33−ii−ii00000000-22-22-22-221-111-11-1-10000−2i2i−i3i3−i3i33−33−3i−ii−i00000000
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Here i is the imaginary unit (i² = −1).