Finite Group Databasebeta

← Group #11900784

Character table — Group #11900784

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222224444444444444444444444444466666666121212121212121212121212121212121212121218181818363611111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order1222444433666666121212121212121223466666666666121212121212121212121212444444442244666612121212121212121212121222442422224444666666661212121212121212264666666666661212121212121212121212124444444422446666121212121212121212121212224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-11-11-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-11-11-1-111-1-1-1-11111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-111-1-1-1-111111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-111-1-1-1-111
χ7111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111-11-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1111-1
χ101111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111-1-111-1-1-1-111-1-11111-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111-1-111-1-1-1-111-1-11111-1-1-11
χ111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-11
χ121111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1111-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1111-1
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-11
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-111-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-111-1-11-1
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-11111-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-11111-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-11-1
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-111-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-111-11
χ17222222222-122-1-12-12222-1-1-1-12-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100002222020200-1-10000-1-1-1-100-1-1000000222222222-122-1-12-12222-1-1-1-12-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100002222020200-1-10000-1-1-1-100-1-1000000
χ18222222222-122-1-12-12222-1-1-1-12-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-20-20-20011000011110011000000222222222-122-1-12-12222-1-1-1-12-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-20-20-20011000011110011000000
χ19222222222-122-1-12-12222-1-1-1-1-2-1-2-2-211-1-11111-1-2-211-1-1-1-11111000022220-20-200110000-1-1-1-10011000000222222222-122-1-12-12222-1-1-1-1-2-1-2-2-211-1-11111-1-2-211-1-1-1-11111000022220-20-200110000-1-1-1-10011000000
χ20222222222-122-1-12-12222-1-1-1-1-2-1-2-2-211-1-11111-1-2-211-1-1-1-111110000-2-2-2-2020200-1-10000111100-1-1000000222222222-122-1-12-12222-1-1-1-1-2-1-2-2-211-1-11111-1-2-211-1-1-1-111110000-2-2-2-2020200-1-10000111100-1-1000000
χ2122222222-12-1-122-12-1-1-1-122222-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200002020-1-100-1-1-1-10000-1-10000000022222222-12-1-122-12-1-1-1-122222-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200002020-1-100-1-1-1-10000-1-100000000
χ2222222222-12-1-122-12-1-1-1-122222-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-20-20110011110000110000000022222222-12-1-122-12-1-1-1-122222-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-20-201100111100001100000000
χ2322222222-12-1-122-12-1-1-1-12222-2-1-211-2-2-1-11111-111-2-2-1-1-1-1111122220000-20-201100-1-1-1-10000110000000022222222-12-1-122-12-1-1-1-12222-2-1-211-2-2-1-11111-111-2-2-1-1-1-1111122220000-20-201100-1-1-1-100001100000000
χ2422222222-12-1-122-12-1-1-1-12222-2-1-211-2-2-1-11111-111-2-2-1-1-1-11111-2-2-2-200002020-1-10011110000-1-10000000022222222-12-1-122-12-1-1-1-12222-2-1-211-2-2-1-11111-111-2-2-1-1-1-11111-2-2-2-200002020-1-10011110000-1-100000000
χ252222-2-2-2-22-122-1-12-1-2-2-2-211112-1-222-1-1-1-1-1-1-1-1-1-2-21111111111000022-2-2020-200-1-10000-1-11100110000002222-2-2-2-22-122-1-12-1-2-2-2-211112-1-222-1-1-1-1-1-1-1-1-1-2-21111111111000022-2-2020-200-1-10000-1-1110011000000
χ262222-2-2-2-22-122-1-12-1-2-2-2-211112-1-222-1-1-1-1-1-1-1-1-1-2-211111111110000-2-2220-2020011000011-1-100-1-10000002222-2-2-2-22-122-1-12-1-2-2-2-211112-1-222-1-1-1-1-1-1-1-1-1-2-211111111110000-2-2220-2020011000011-1-100-1-1000000
χ272222-2-2-2-22-122-1-12-1-2-2-2-21111-2-12-2-211-1-11111-122-1-11111-1-1-1-1000022-2-20-20200110000-1-11100-1-10000002222-2-2-2-22-122-1-12-1-2-2-2-21111-2-12-2-211-1-11111-122-1-11111-1-1-1-1000022-2-20-20200110000-1-11100-1-1000000
χ282222-2-2-2-22-122-1-12-1-2-2-2-21111-2-12-2-211-1-11111-122-1-11111-1-1-1-10000-2-222020-200-1-1000011-1-100110000002222-2-2-2-22-122-1-12-1-2-2-2-21111-2-12-2-211-1-11111-122-1-11111-1-1-1-10000-2-222020-200-1-1000011-1-10011000000
χ292222-2-2-2-2-12-1-122-121111-2-2-2-22-1-2-1-122-1-1-1-1-1-1-111-2-21111111122-2-2000020-20-1-100-1-111000011000000002222-2-2-2-2-12-1-122-121111-2-2-2-22-1-2-1-122-1-1-1-1-1-1-111-2-21111111122-2-2000020-20-1-100-1-11100001100000000
χ302222-2-2-2-2-12-1-122-121111-2-2-2-22-1-2-1-122-1-1-1-1-1-1-111-2-211111111-2-2220000-2020110011-1-10000-1-1000000002222-2-2-2-2-12-1-122-121111-2-2-2-22-1-2-1-122-1-1-1-1-1-1-111-2-211111111-2-2220000-2020110011-1-10000-1-100000000
χ312222-2-2-2-2-12-1-122-121111-2-2-2-2-2-1211-2-2-1-11111-1-1-1221111-1-1-1-122-2-20000-20201100-1-1110000-1-1000000002222-2-2-2-2-12-1-122-121111-2-2-2-2-2-1211-2-2-1-11111-1-1-1221111-1-1-1-122-2-20000-20201100-1-1110000-1-100000000
χ322222-2-2-2-2-12-1-122-121111-2-2-2-2-2-1211-2-2-1-11111-1-1-1221111-1-1-1-1-2-222000020-20-1-10011-1-1000011000000002222-2-2-2-2-12-1-122-121111-2-2-2-2-2-1211-2-2-1-11111-1-1-1221111-1-1-1-1-2-222000020-20-1-10011-1-100001100000000
χ3322-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i02000002-20000-200002i2i−2i−2i000000002-22i−2i0000000000002-22i−2i000000000022-2-22i2i−2i−2i222-22-2-2-22i2i−2i−2i2i2i−2i−2i02000002-20000-200002i2i−2i−2i000000002-22i−2i0000000000002-22i−2i0000000000
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χ3622-2-22i2i−2i−2i2-12-2-11-212i2i−2i−2i−i−iii0-1000−i3i3-11−i3−i3i3i31003−3−i−iii33−3−30000-22−2i2i000000i3−i300001-1i−i00−3300000022-2-22i2i−2i−2i2-12-2-11-212i2i−2i−2i−i−iii0-1000−i3i3-11−i3−i3i3i31003−3−i−iii33−3−30000-22−2i2i000000i3−i300001-1i−i00−33000000
χ3722-2-22i2i−2i−2i2-12-2-11-212i2i−2i−2i−i−iii0-1000i3−i3-11i3i3−i3−i3100−33−i−iii−3−33300002-22i−2i000000i3−i30000-11−ii00−3300000022-2-22i2i−2i−2i2-12-2-11-212i2i−2i−2i−i−iii0-1000i3−i3-11i3i3−i3−i3100−33−i−iii−3−33300002-22i−2i000000i3−i30000-11−ii00−33000000
χ3822-2-22i2i−2i−2i2-12-2-11-212i2i−2i−2i−i−iii0-1000i3−i3-11i3i3−i3−i3100−33−i−iii−3−3330000-22−2i2i000000−i3i300001-1i−i003−300000022-2-22i2i−2i−2i2-12-2-11-212i2i−2i−2i−i−iii0-1000i3−i3-11i3i3−i3−i3100−33−i−iii−3−3330000-22−2i2i000000−i3i300001-1i−i003−3000000
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χ4222-2-2−2i−2i2i2i2-12-2-11-21−2i−2i2i2iii−i−i0-1000−i3i3-11−i3−i3i3i3100−33ii−i−i−3−3330000-222i−2i000000i3−i300001-1−ii003−300000022-2-2−2i−2i2i2i2-12-2-11-21−2i−2i2i2iii−i−i0-1000−i3i3-11−i3−i3i3i3100−33ii−i−i−3−3330000-222i−2i000000i3−i300001-1−ii003−3000000
χ4322-2-2−2i−2i2i2i2-12-2-11-21−2i−2i2i2iii−i−i0-1000i3−i3-11i3i3−i3−i31003−3ii−i−i33−3−300002-2−2i2i000000i3−i30000-11i−i003−300000022-2-2−2i−2i2i2i2-12-2-11-21−2i−2i2i2iii−i−i0-1000i3−i3-11i3i3−i3−i31003−3ii−i−i33−3−300002-2−2i2i000000i3−i30000-11i−i003−3000000
χ4422-2-2−2i−2i2i2i2-12-2-11-21−2i−2i2i2iii−i−i0-1000i3−i3-11i3i3−i3−i31003−3ii−i−i33−3−30000-222i−2i000000−i3i300001-1−ii00−3300000022-2-2−2i−2i2i2i2-12-2-11-21−2i−2i2i2iii−i−i0-1000i3−i3-11i3i3−i3−i31003−3ii−i−i33−3−30000-222i−2i000000−i3i300001-1−ii00−33000000
χ452-22-22i−2i2i−2i22-22-22-2-22i−2i2i−2i2i−2i2i−2i0200000-220000-200002i−2i2i−2i00002-22i−2i0000000000002-22i−2i000000000000002-22-22i−2i2i−2i22-22-22-2-22i−2i2i−2i2i−2i2i−2i0200000-220000-200002i−2i2i−2i00002-22i−2i0000000000002-22i−2i00000000000000
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χ1584-44-4−4i4i−4i4i4-2-442-2-42−4i4i−4i4i2i−2i2i−2i0-2000002-20000200002i−2i2i−2i00000000000000000000000000000000000000-44-444i−4i4i−4i-424-4-224-24i−4i4i−4i−2i2i−2i2i0200000-220000-20000−2i2i−2i2i00000000000000000000000000000000000000
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χ1604-44-4−4i4i−4i4i-2-22-22-2222i−2i2i−2i2i−2i2i−2i0102i3−2i300-11−i3i3−i3i3-123−2300−ii−ii−33−330000000000000000000000000000000000-44-444i−4i4i−4i22-22-22-2-2−2i2i−2i2i−2i2i−2i2i0-10−2i32i3001-1i3−i3i3−i31−232300i−ii−i3−33−30000000000000000000000000000000000
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χ1654-4-44-444-44-2-4-4224-2-444-42-2-220-200000220000-200002-2-2200000000000000000000000000000000000000-444-44-4-44-4244-2-2-424-4-44-222-20200000-2-2000020000-222-200000000000000000000000000000000000000
χ1664-4-44-444-4-2422-4-4-242-2-22-444-40-200000220000-200002-2-2200000000000000000000000000000000000000-444-44-4-442-4-2-2442-4-222-24-4-440200000-2-2000020000-222-200000000000000000000000000000000000000
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χ1684-4-44-444-4-2-22222-2-22-2-222-2-220100000-1-1-333-310000-111-13-3-330000000000000000000000000000000000-444-44-4-4422-2-2-2-222-222-2-222-20-100000113-3-33-100001-1-11-333-30000000000000000000000000000000000

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