Finite Group Databasebeta

← Group #11868412

Character table — Group #11868412

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444444121212121818242424242424242424243636361111222222222244444444444444444444444444444412121212181824242424242424242424363636
order1222334466666636668812121212121212122424242424242424242424242424242444444444121212121212121248822226644666666666688121212121212121224242424242424242424242424242424444444441212121212121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-111-1-1-1-111-1-1-11111111111111111111111111111111111111111111111-1-1-1-11-111-1-1-1-111-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-11-1-11111-1-1-1-1-111111111111111111111111111111111111111111111-1-111-1-1-11-1-11111-1-1-1-1-1
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
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-1
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
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1
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
χ1122222-1222-12-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000200-1-1-1-10000022222-1222-12-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000200-1-1-1-100000
χ1222222-1222-12-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000-20011110000022222-1222-12-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000-200111100000
χ1322222-1222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-21111111111110022000-200-1-1110000022222-1222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-21111111111110022000-200-1-11100000
χ1422222-1222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-211111111111100-2-200020011-1-10000022222-1222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-211111111111100-2-200020011-1-100000
χ152222-1222-12-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000020-1-10000-1-10002222-1222-12-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000020-1-10000-1-1000
χ162222-1222-12-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-20110000110002222-1222-12-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2011000011000
χ172222-1222-12-122-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-211111111220000-20110000-1-10002222-1222-12-122-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-211111111220000-20110000-1-1000
χ182222-1222-12-122-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-211111111-2-2000020-1-10000110002222-1222-12-122-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-211111111-2-2000020-1-1000011000
χ1922-2-2222-2-22-2-2-222-2-22002222-2-2-2-200000000000000002-20000000000002-200022-2-2222-2-22-2-2-222-2-22002222-2-2-2-200000000000000002-20000000000002-2000
χ2022-2-2222-2-22-2-2-222-2-22002222-2-2-2-20000000000000000-22000000000000-2200022-2-2222-2-22-2-2-222-2-22002222-2-2-2-20000000000000000-22000000000000-22000
χ2122-2-222-22-22-2-2-222-2-2200-2-2-2-222220000000000000000002i−2i0000002i−2i000000022-2-222-22-22-2-2-222-2-2200-2-2-2-222220000000000000000002i−2i0000002i−2i0000000
χ2222-2-222-22-22-2-2-222-2-2200-2-2-2-22222000000000000000000−2i2i000000−2i2i000000022-2-222-22-22-2-2-222-2-2200-2-2-2-22222000000000000000000−2i2i000000−2i2i0000000
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χ2422-2-22-1-22-2-1-2112-111-1001-211-12-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300−2i2i000000i−i−330000022-2-22-1-22-2-1-2112-111-1001-211-12-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300−2i2i000000i−i−3300000
χ2522-2-22-1-22-2-1-2112-111-1001-211-12-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3002i−2i000000−ii−330000022-2-22-1-22-2-1-2112-111-1001-211-12-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3002i−2i000000−ii−3300000
χ2622-2-22-1-22-2-1-2112-111-1001-211-12-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300−2i2i000000i−i3−30000022-2-22-1-22-2-1-2112-111-1001-211-12-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300−2i2i000000i−i3−300000
χ2722-2-2-122-2121-2-2-1-111-1002-1-1-1-211133−3−3000033−3−333−3−32-20000003−30000-1100022-2-2-122-2121-2-2-1-111-1002-1-1-1-211133−3−3000033−3−333−3−32-20000003−30000-11000
χ2822-2-2-122-2121-2-2-1-111-1002-1-1-1-211133−3−3000033−3−333−3−3-22000000−3300001-100022-2-2-122-2121-2-2-1-111-1002-1-1-1-211133−3−3000033−3−333−3−3-22000000−3300001-1000
χ2922-2-2-122-2121-2-2-1-111-1002-1-1-1-2111−3−3330000−3−333−3−3332-2000000−330000-1100022-2-2-122-2121-2-2-1-111-1002-1-1-1-2111−3−3330000−3−333−3−3332-2000000−330000-11000
χ3022-2-2-122-2121-2-2-1-111-1002-1-1-1-2111−3−3330000−3−333−3−333-220000003−300001-100022-2-2-122-2121-2-2-1-111-1002-1-1-1-2111−3−3330000−3−333−3−333-220000003−300001-1000
χ312-2-222200-2-222-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002-200000000000−i2i22-2-222200-2-222-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002-200000000000−i2i2
χ322-2-222200-2-222-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000-2200000000000i2−i22-2-222200-2-222-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000-2200000000000i2−i2
χ332-2-222200-2-222-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002-200000000000i2−i22-2-222200-2-222-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002-200000000000i2−i2
χ342-2-222200-2-222-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000-2200000000000−i2i22-2-222200-2-222-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000-2200000000000−i2i2
χ3544444-2-4-44-24-2-24-2-2-2-2002-4222-4220000000000000000000000000000000000044444-2-4-44-24-2-24-2-2-2-2002-4222-42200000000000000000000000000000000000
χ364444-24-4-4-24-244-2-2-2-2-200-4222-4222000000000000000000000000000000000004444-24-4-4-24-244-2-2-2-2-200-4222-422200000000000000000000000000000000000
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
χ394444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-1000000003i3i−3i−3i−3i−3i3i3i00000000000000000004444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000
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χ4144-4-44-24-4-4-2-4224-222-200-24-2-22-4220000000000000000000000000000000000044-4-44-24-4-4-2-4224-222-200-24-2-22-42200000000000000000000000000000000000
χ4244-4-4-24-44242-4-4-2-222-200-42224-2-2-20000000000000000000000000000000000044-4-4-24-44242-4-4-2-222-200-42224-2-2-200000000000000000000000000000000000
χ4344-4-4-2-24-42-2222-21-1-1100-2-21122-1-12323−23−230000−3−333−3−333000000000000000000044-4-4-2-24-42-2222-21-1-1100-2-21122-1-12323−23−230000−3−333−3−3330000000000000000000
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χ4544-4-4-2-2-442-2222-21-1-110022-1-1-2-2110000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3000000000000000000044-4-4-2-2-442-2222-21-1-110022-1-1-2-2110000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000
χ4644-4-4-2-2-442-2222-21-1-110022-1-1-2-21100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3000000000000000000044-4-4-2-2-442-2222-21-1-110022-1-1-2-21100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000
χ474-44-444004-4-4-44-44-44-40000000000000000000000000000000000000000000004-44-444004-4-4-44-44-44-4000000000000000000000000000000000000000000000
χ484-44-44-20042-42-2-4-22-22000000000000006−6−666−66−6−66−6600000000000000000004-44-44-20042-42-2-4-22-22000000000000006−6−666−66−6−66−660000000000000000000
χ494-44-44-20042-42-2-4-22-2200000000000000−666−6−66−666−66−600000000000000000004-44-44-20042-42-2-4-22-2200000000000000−666−6−66−666−66−60000000000000000000
χ504-44-4-2400-2-42-442-22-220000000000i6−i6−i6i60000i6−i6−i6i6i6−i6−i6i600000000000000000004-44-4-2400-2-42-442-22-220000000000i6−i6−i6i60000i6−i6−i6i6i6−i6−i6i60000000000000000000
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χ1234-4-44-2-20022-2-22211-1-1−2i22i2003i−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−ζ230000000000000000000-444-42200-2-222-2-2-1-1112i2−2i200−3i3i003i−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
χ1244-4-44-2-20022-2-22211-1-1−2i22i200−3i3i003i−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+2ζ230000000000000000000-444-42200-2-222-2-2-1-1112i2−2i2003i−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
χ1254-4-44-2-20022-2-22211-1-12i2−2i2003i−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+ζ230000000000000000000-444-42200-2-222-2-2-1-111−2i22i200−3i3i003i−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
χ1264-4-44-2-20022-2-22211-1-12i2−2i200−3i3i003i−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+ζ13−2ζ230000000000000000000-444-42200-2-222-2-2-1-111−2i22i2003i−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.