Finite Group Databasebeta

← Group #11865708

Character table — Group #11865708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444444121212121818242424242424242424243636361111222222222244444444444444444444444444444412121212181824242424242424242424363636
order122233446666663666881212121212121212242424242424242424242424242424244444442466121212121212488222266446666666666881212121212121212242424242424242424242424242424244444442466121212121212488
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
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-111
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-111
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
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
χ1122222-1222-1-122-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000020-1-100-1-10000022222-1222-1-122-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000020-1-100-1-100000
χ1222222-1222-1-122-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-201100110000022222-1222-1-122-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2011001100000
χ1322222-1222-1-122-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111220000-201100-1-10000022222-1222-1-122-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111220000-201100-1-100000
χ1422222-1222-1-122-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-2000020-1-100110000022222-1222-1-122-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-2000020-1-1001100000
χ152222-1222-122-1-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000200-1-100-1-10002222-1222-122-1-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000200-1-100-1-1000
χ162222-1222-122-1-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-2001100110002222-1222-122-1-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-200110011000
χ172222-1222-122-1-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111110022000-200-1-100110002222-1222-122-1-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111110022000-200-1-10011000
χ182222-1222-122-1-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111100-2-20002001100-1-10002222-1222-122-1-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111100-2-20002001100-1-1000
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χ222-22-222-22-2-2-2-2222-2-2200-2-2-2-222220000000000000000-220000000000-22000002-22-222-22-2-2-2-2222-2-2200-2-2-2-222220000000000000000-220000000000-2200000
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χ242-22-22-1-22-211-22-1-111-100-21112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-22000000i3−i3001-1000002-22-22-1-22-211-22-1-111-100-21112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-22000000i3−i3001-100000
χ252-22-22-1-22-211-22-1-111-100-21112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-2000000i3−i300-11000002-22-22-1-22-211-22-1-111-100-21112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-2000000i3−i300-1100000
χ262-22-22-1-22-211-22-1-111-100-21112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22000000−i3i3001-1000002-22-22-1-22-211-22-1-111-100-21112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22000000−i3i3001-100000
χ272-22-2-122-21-2-21-12-111-100-12-1-11-21133−3−3000033−3−333−3−3002i−2i000000−ii00−i3i30002-22-2-122-21-2-21-12-111-100-12-1-11-21133−3−3000033−3−333−3−3002i−2i000000−ii00−i3i3000
χ282-22-2-122-21-2-21-12-111-100-12-1-11-21133−3−3000033−3−333−3−300−2i2i000000i−i00i3−i30002-22-2-122-21-2-21-12-111-100-12-1-11-21133−3−3000033−3−333−3−300−2i2i000000i−i00i3−i3000
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χ302-22-2-122-21-2-21-12-111-100-12-1-11-211−3−3330000−3−333−3−33300−2i2i000000i−i00−i3i30002-22-2-122-21-2-21-12-111-100-12-1-11-211−3−3330000−3−333−3−33300−2i2i000000i−i00−i3i3000
χ312-2-222200-22-22-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i000000000002−22-2-222200-22-22-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i000000000002−2
χ322-2-222200-22-22-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i00000000000−222-2-222200-22-22-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i00000000000−22
χ332-2-222200-22-22-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i00000000000−222-2-222200-22-22-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i00000000000−22
χ342-2-222200-22-22-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i000000000002−22-2-222200-22-22-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i000000000002−2
χ3544444-2-4-44-2-244-2-2-2-2-200-4222-42220000000000000000000000000000000000044444-2-4-44-2-244-2-2-2-2-200-4222-422200000000000000000000000000000000000
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χ1234-4-44-2-2002-22-22211-1-1−2i22i2003i−3i00−3i3ii2−i2i2−i2i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000-444-42200-22-22-2-2-1-1112i2−2i200−3i3i003i−3i−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000
χ1244-4-44-2-2002-22-22211-1-1−2i22i200−3i3i003i−3ii2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000-444-42200-22-22-2-2-1-1112i2−2i2003i−3i00−3i3i−i2i2−i2i2−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000
χ1254-4-44-2-2002-22-22211-1-12i2−2i2003i−3i00−3i3i−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000-444-42200-22-22-2-2-1-111−2i22i200−3i3i003i−3ii2−i2i2−i2i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000
χ1264-4-44-2-2002-22-22211-1-12i2−2i200−3i3i003i−3i−i2i2−i2i2−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000-444-42200-22-22-2-2-1-111−2i22i2003i−3i00−3i3ii2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000

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