Finite Group Databasebeta

← Group #11785553

Character table — Group #11785553

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12442223344466666688881212121212121212366666666666881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444488881212121212121212242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-11-1-1111-111111-1-111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-11-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-111-1-1
χ1011-1-11-1-1111-111111-1-111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-11-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-11-11-1-111
χ1111-1-11-1-1111-111111-1-111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-11-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-11-11-1-111
χ1211-1-11-1-1111-111111-1-111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-11-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-111-1-1
χ1311-1-11-1-1111-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-11-1-1-111
χ1411-1-11-1-1111-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-1111-1-1
χ1511-1-11-1-1111-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-1111-1-1
χ1611-1-11-1-1111-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-11-1-1-111
χ1722222222-1222222-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ1822222222-1222222-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ1922222222-1222222-1-1-1-2-2-2-2-1-122-1-122-1-122-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-20000-1-1-1-111110000000000000000
χ2022222222-1222222-1-1-1-2-2-2-2-1-122-1-122-1-122-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-22200001111-1-1-1-10000000000000000
χ212222222-12222-1-1-1222222222-1-122-1-1-12-1-12-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ222222222-12222-1-1-1222222222-1-122-1-1-12-1-12-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ232222222-12222-1-1-1222-2-2-2-222-1-122-1-1-12-1-12-1-1-1-1-1-1-1-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000022-2-200000000-1-1-1-1111100000000
χ242222222-12222-1-1-1222-2-2-2-222-1-122-1-1-12-1-12-1-1-1-1-1-1-1-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-222000000001111-1-1-1-100000000
χ2522222-2-222-22-22222-2-20000-2-222222222-2-2-222-2-2-2-2200-22-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ2622222-2-222-22-22222-2-20000-2-222222222-2-2-222-2-2-2-2200-22-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ272222-22-222-2-22-2-222-2-22222-2-2-2-222222-22-22-2-222-2-22-2-2-2-2-2-222-2-2222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ282222-22-222-2-22-2-222-2-2-2-2-2-2-2-2-2-222222-22-22-2-222-2-2222-2-2-2-222-2-22222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ292222-22-22-1-2-22-2-22-111222211-2-2-1-122-112-2-111-1-111-1-2-2-2111-1-1112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-11111000000003−33−33−33−30000000000000000
χ302222-22-22-1-2-22-2-22-111222211-2-2-1-122-112-2-111-1-111-1-2-2-2111-1-1112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000−33−33−33−330000000000000000
χ312222-22-22-1-2-22-2-22-111-2-2-2-211-2-2-1-122-112-2-111-1-111-122-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-1000000003−33−3−33−330000000000000000
χ322222-22-22-1-2-22-2-22-111-2-2-2-211-2-2-1-122-112-2-111-1-111-122-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000−33−333−33−30000000000000000
χ332222-22-2-12-2-2211-12-2-22222-2-21122-1-1-1-2-11211-1-111-1-2-21-211-1-111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-111110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ342222-22-2-12-2-2211-12-2-22222-2-21122-1-1-1-2-11211-1-111-1-2-21-211-1-111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-111110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ352222-22-2-12-2-2211-12-2-2-2-2-2-2-2-21122-1-1-1-2-11211-1-111-1221-211-1-111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-10000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ362222-22-2-12-2-2211-12-2-2-2-2-2-2-2-21122-1-1-1-2-11211-1-111-1221-211-1-111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-10000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ372222-2-22222-2-2-2-22222000022-2-222222-2-22-2-2-2-2-2222002-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-2-220000
χ382222-2-22222-2-2-2-22222000022-2-222222-2-22-2-2-2-2-2222002-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-222-20000
χ3922-2-222222-2-2-22222220000-2-2-2-2-2-2-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ4022-2-222222-2-2-22222220000-2-2-2-2-2-2-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ4122-2-22-2-22-12-22222-11122-2-2-1-1-2-211-2-2-1-1-2-21-1-11111-12-221-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112i−2i2i−2i0000−i−iii−i−iii0000000000000000
χ4222-2-22-2-22-12-22222-11122-2-2-1-1-2-211-2-2-1-1-2-21-1-11111-12-221-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111−2i2i−2i2i0000ii−i−iii−i−i0000000000000000
χ4322-2-22-2-22-12-22222-111-2-222-1-1-2-211-2-2-1-1-2-21-1-11111-1-2221-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12i−2i−2i2i0000−i−iiiii−i−i0000000000000000
χ4422-2-22-2-22-12-22222-111-2-222-1-1-2-211-2-2-1-1-2-21-1-11111-1-2221-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1−2i2i2i−2i0000ii−i−i−i−iii0000000000000000
χ4522-2-22-2-2-122-22-1-1-12-2-222-2-22211-2-211-1211-2-1-11111-12-2-1-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ4622-2-22-2-2-122-22-1-1-12-2-222-2-22211-2-211-1211-2-1-11111-12-2-1-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ4722-2-22-2-2-122-22-1-1-12-2-2-2-2222211-2-211-1211-2-1-11111-1-22-1-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ4822-2-22-2-2-122-22-1-1-12-2-2-2-2222211-2-211-1211-2-1-11111-1-22-1-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ4922-2-2-22-22222-2-2-222-2-200002222-2-2-2-22-22-22-2-222-2-22002222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ5022-2-2-22-22222-2-2-222-2-200002222-2-2-2-22-22-22-2-222-2-22002222-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ5122-2-2-2-2222-222-2-2222222-2-2-2-222-2-2-2-22-2-22-2-2-2-2-2222-22-22-2-2-2-222222222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ5222-2-2-2-2222-222-2-22222-2-222-2-222-2-2-2-22-2-22-2-2-2-2-22222-2-22-2-2-2-2222222-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ5322-2-2-2-222-1-222-2-22-1-1-122-2-2112211-2-2-11-2211111-1-1-1-22-2-11111-1-12-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-100000000−i3i3i3−i3−i3i3i3−i30000000000000000
χ5422-2-2-2-222-1-222-2-22-1-1-122-2-2112211-2-2-11-2211111-1-1-1-22-2-11111-1-12-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-100000000i3−i3−i3i3i3−i3−i3i30000000000000000
χ5522-2-2-2-222-1-222-2-22-1-1-1-2-222112211-2-2-11-2211111-1-1-12-2-2-11111-1-12-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-1111100000000−i3i3i3−i3i3−i3−i3i30000000000000000
χ5622-2-2-2-222-1-222-2-22-1-1-1-2-222112211-2-2-11-2211111-1-1-12-2-2-11111-1-12-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-1111100000000i3−i3−i3i3−i3i3i3−i30000000000000000
χ5722-2-2-2-22-12-22211-122222-2-2-2-2-1-1-2-211-1-21-1-21111-1-1-1-22121111-1-1-12-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-100000000000000003−3−333−3−3300000000
χ5822-2-2-2-22-12-22211-122222-2-2-2-2-1-1-2-211-1-21-1-21111-1-1-1-22121111-1-1-12-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-10000000000000000−333−3−333−300000000
χ5922-2-2-2-22-12-22211-1222-2-222-2-2-1-1-2-211-1-21-1-21111-1-1-12-2121111-1-1-12-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-1111100000000000000003−3−33−333−300000000
χ6022-2-2-2-22-12-22211-1222-2-222-2-2-1-1-2-211-1-21-1-21111-1-1-12-2121111-1-1-12-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-111110000000000000000−333−33−3−3300000000
χ614444444-2-2444-2-2-2-2-2-24444-2-2-2-2-2-2-2-21-2-2-2-2111111144-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-21111111-4-4-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6344444-4-44-2-44-4444-22200002244-2-244-2-2-4-42-2-22222-200-4-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
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χ6644444-4-4-2-2-44-4-2-2-2-222000022-2-2-2-2-2-21-222211-1-1-1-11002-2-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
χ674444-44-4-2-2-4-4422-2-22244442222-2-2-2-212-22-2-1-111-1-11-4-422-1-111-1-1-2-211-2-222-2-2221111-1-1-1-1-2-222-2-2221111-1-1-1-100000000000000000000000000000000
χ684444-44-4-2-2-4-4422-2-222-4-4-4-42222-2-2-2-212-22-2-1-111-1-114422-1-111-1-1-2-21122-2-222-2-2-1-1-1-1111122-2-222-2-2-1-1-1-1111100000000000000000000000000000000
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χ704444-4-44-244-4-422-24440000442244-2-2-2-42-2-42222-2-2-200-2-4-2-2-2-2222-4220000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.