Finite Group Databasebeta

← Group #11863582

Character table — Group #11863582

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444444121212121818242424242424242424243636361111222222222244444444444444444444444444444412121212181824242424242424242424363636
order12223344666666366688121212121212121224242424242424242424242424242424222222446666121212124882222664466666666668812121212121212122424242424242424242424242424242422222244666612121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-111-1-111-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-11-111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-11-1-111-1-111-1-1-111111111111111111111111111111111111111111111-1-111-1-1-11-1-111-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-111-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-111-111
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-111
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1
χ9222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000220000000000-200222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000220000000000-200
χ10222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200
χ1122222-12222-1-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000020-1-100-1-10000022222-12222-1-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000020-1-100-1-100000
χ1222222-12222-1-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-201100110000022222-12222-1-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2011001100000
χ1322222-12222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111220000-20-1-100110000022222-12222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111220000-20-1-1001100000
χ1422222-12222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111-2-20000201100-1-10000022222-12222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111-2-20000201100-1-100000
χ152222-1222-1-1222-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000200-1-100-1-10002222-1222-1-1222-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000200-1-100-1-1000
χ162222-1222-1-1222-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-2001100110002222-1222-1-1222-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-200110011000
χ172222-1222-1-1222-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-2111111110022000-200-1-100110002222-1222-1-1222-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-2111111110022000-200-1-10011000
χ182222-1222-1-1222-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-21111111100-2-20002001100-1-10002222-1222-1-1222-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-21111111100-2-20002001100-1-1000
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χ2022-2-222002-22-2-2-222-2-2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000-2200000000000i2−i222-2-222002-22-2-2-222-2-2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000-2200000000000i2−i2
χ2122-2-222002-22-2-2-222-2-2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200002-200000000000i2−i222-2-222002-22-2-2-222-2-2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200002-200000000000i2−i2
χ2222-2-222002-22-2-2-222-2-2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-2200000000000−i2i222-2-222002-22-2-2-222-2-2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000-2200000000000−i2i2
χ232-2-22222-2-2-2-22-222-2-2200-2-2-2-222220000000000000000002-20000002-200000002-2-22222-2-2-2-22-222-2-2200-2-2-2-222220000000000000000002-20000002-20000000
χ242-2-22222-2-2-2-22-222-2-2200-2-2-2-22222000000000000000000-22000000-2200000002-2-22222-2-2-2-22-222-2-2200-2-2-2-22222000000000000000000-22000000-220000000
χ252-2-2222-22-2-2-22-222-2-22002222-2-2-2-200000000000000002-20000002-20000000002-2-2222-22-2-2-22-222-2-22002222-2-2-2-200000000000000002-20000002-2000000000
χ262-2-2222-22-2-2-22-222-2-22002222-2-2-2-20000000000000000-22000000-220000000002-2-2222-22-2-2-22-222-2-22002222-2-2-2-20000000000000000-22000000-22000000000
χ272-2-222-1-22-2-21-112-111-100-12-1-11-21100003−33−333−3−333−3−32-2000000-11003−3000002-2-222-1-22-2-21-112-111-100-12-1-11-21100003−33−333−3−333−3−32-2000000-11003−300000
χ282-2-222-1-22-2-21-112-111-100-12-1-11-21100003−33−333−3−333−3−3-220000001-100−33000002-2-222-1-22-2-21-112-111-100-12-1-11-21100003−33−333−3−333−3−3-220000001-100−3300000
χ292-2-222-1-22-2-21-112-111-100-12-1-11-2110000−33−33−3−333−3−3332-2000000-1100−33000002-2-222-1-22-2-21-112-111-100-12-1-11-2110000−33−33−3−333−3−3332-2000000-1100−3300000
χ302-2-222-1-22-2-21-112-111-100-12-1-11-2110000−33−33−3−333−3−333-220000001-1003−3000002-2-222-1-22-2-21-112-111-100-12-1-11-2110000−33−33−3−333−3−333-220000001-1003−300000
χ312-2-22-122-211-22-2-1-111-100-21112-1-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3002-2000000-1100−i3i30002-2-22-122-211-22-2-1-111-100-21112-1-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3002-2000000-1100−i3i3000
χ322-2-22-122-211-22-2-1-111-100-21112-1-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300-220000001-100i3−i30002-2-22-122-211-22-2-1-111-100-21112-1-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300-220000001-100i3−i3000
χ332-2-22-122-211-22-2-1-111-100-21112-1-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3002-2000000-1100i3−i30002-2-22-122-211-22-2-1-111-100-21112-1-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3002-2000000-1100i3−i3000
χ342-2-22-122-211-22-2-1-111-100-21112-1-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300-220000001-100−i3i30002-2-22-122-211-22-2-1-111-100-21112-1-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300-220000001-100−i3i3000
χ3544444-2-4-444-2-2-24-2-2-2-2002-4222-4220000000000000000000000000000000000044444-2-4-444-2-2-24-2-2-2-2002-4222-42200000000000000000000000000000000000
χ364444-24-4-4-2-2444-2-2-2-2-200-4222-4222000000000000000000000000000000000004444-24-4-4-2-2444-2-2-2-2-200-4222-422200000000000000000000000000000000000
χ374444-2-244-2-2-2-2-2-2111144-2-211-2-211-2-2-2-2-2-2-2-21111111100000000000000000004444-2-244-2-2-2-2-2-2111144-2-211-2-211-2-2-2-2-2-2-2-2111111110000000000000000000
χ384444-2-244-2-2-2-2-2-21111-4-4-2-211-2-21122222222-1-1-1-1-1-1-1-100000000000000000004444-2-244-2-2-2-2-2-21111-4-4-2-211-2-21122222222-1-1-1-1-1-1-1-10000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-1000000003i−3i−3i3i3i−3i−3i3i00000000000000000004444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-100000000−3i3i3i−3i−3i3i3i−3i00000000000000000004444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000
χ4144-4-44-2004-4-222-4-2-222−2i22i200000000−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000044-4-44-2004-4-222-4-2-222−2i22i200000000−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000000
χ4244-4-44-2004-4-222-4-2-2222i2−2i2000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000044-4-44-2004-4-222-4-2-2222i2−2i2000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000000
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χ4444-4-4-2400-224-4-42-2-2222i2−2i200000000−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i2000000000000000000044-4-4-2400-224-4-42-2-2222i2−2i200000000−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i20000000000000000000
χ4544-4-4-2-200-22-222211-1-1−2i22i2003i−3i003i−3ii2i2−i2−i2i2i2−i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23000000000000000000044-4-4-2-200-22-222211-1-1−2i22i2003i−3i003i−3ii2i2−i2−i2i2i2−i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000
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χ1214-4-444-24-4-4-42-224-222-2002-422-24-2-200000000000000000000000000000000000-444-4-42-4444-22-2-42-2-2200-24-2-22-42200000000000000000000000000000000000
χ1224-4-44-24-4422-44-4-2-222-2004-2-2-2-422200000000000000000000000000000000000-444-42-44-4-2-24-4422-2-2200-42224-2-2-200000000000000000000000000000000000
χ1234-4-44-2-24-4222-22-21-1-110022-1-1-2-211−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000-444-422-44-2-2-22-22-111-100-2-21122-1-12i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000
χ1244-4-44-2-24-4222-22-21-1-110022-1-1-2-2112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000-444-422-44-2-2-22-22-111-100-2-21122-1-1−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000
χ1254-4-44-2-2-44222-22-21-1-1100-2-21122-1-1000023−2323−23−3−333−3−3330000000000000000000-444-4224-4-2-2-22-22-111-10022-1-1-2-2110000−2323−232333−3−333−3−30000000000000000000
χ1264-4-44-2-2-44222-22-21-1-1100-2-21122-1-10000−2323−232333−3−333−3−30000000000000000000-444-4224-4-2-2-22-22-111-10022-1-1-2-211000023−2323−23−3−333−3−3330000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.