Finite Group Databasebeta

← Group #11869523

Character table — Group #11869523

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444444121212121818242424242424242424243636361111222222222244444444444444444444444444444412121212181824242424242424242424363636
order1222334466666636668812121212121212122424242424242424242424242424242444444444121212121212121228822226644666666666688121212121212121224242424242424242424242424242424444444441212121212121212288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-111111-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-11-1-1-1-1-11111-1-1-111111111111111111111111111111111111111111111-1-111-1-11-1-1-1-1-11111-1-1-1
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
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-111-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-111-111
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1-111
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1
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
χ1122222-1222-12-1-12-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000002-1-1-1-1000000022222-1222-12-1-12-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000002-1-1-1-10000000
χ1222222-1222-12-1-12-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000-21111000000022222-1222-12-1-12-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000-211110000000
χ1322222-1222-12-1-12-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-21111111111112200000-2-1-111000000022222-1222-12-1-12-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-21111111111112200000-2-1-1110000000
χ1422222-1222-12-1-12-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-200000211-1-1000000022222-1222-12-1-12-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-200000211-1-10000000
χ152222-1222-12-122-1-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200200000-1-1-1-10002222-1222-12-122-1-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200200000-1-1-1-1000
χ162222-1222-12-122-1-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-20000011110002222-1222-12-122-1-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2000001111000
χ172222-1222-12-122-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111002200-200000-1-1110002222-1222-12-122-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111002200-200000-1-111000
χ182222-1222-12-122-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111100-2-20020000011-1-10002222-1222-12-122-1-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111100-2-20020000011-1-1000
χ192-22-22200-22-2-2-2222-2-22−20000000022−2−222−2−22222−2−2−2−200002i−2i00000000000−i2i22-22-22200-22-2-2-2222-2-22−20000000022−2−222−2−22222−2−2−2−200002i−2i00000000000−i2i2
χ202-22-22200-22-2-2-2222-2-22−20000000022−2−222−2−22222−2−2−2−20000−2i2i00000000000i2−i22-22-22200-22-2-2-2222-2-22−20000000022−2−222−2−22222−2−2−2−20000−2i2i00000000000i2−i2
χ212-22-22200-22-2-2-2222-2-2−2200000000−2−222−2−222−2−2−2−2222200002i−2i00000000000i2−i22-22-22200-22-2-2-2222-2-2−2200000000−2−222−2−222−2−2−2−2222200002i−2i00000000000i2−i2
χ222-22-22200-22-2-2-2222-2-2−2200000000−2−222−2−222−2−2−2−222220000−2i2i00000000000−i2i22-22-22200-22-2-2-2222-2-2−2200000000−2−222−2−222−2−2−2−222220000−2i2i00000000000−i2i2
χ232-2-22222-2-2-22-22-22-2-2200-2-2-2-222220000000000000000002i−2i000000002i−2i000002-2-22222-2-2-22-22-22-2-2200-2-2-2-222220000000000000000002i−2i000000002i−2i00000
χ242-2-22222-2-2-22-22-22-2-2200-2-2-2-22222000000000000000000−2i2i00000000−2i2i000002-2-22222-2-2-22-22-22-2-2200-2-2-2-22222000000000000000000−2i2i00000000−2i2i00000
χ252-2-2222-22-2-22-22-22-2-22002222-2-2-2-200000000000000002i−2i0000002i−2i0000000002-2-2222-22-2-22-22-22-2-22002222-2-2-2-200000000000000002i−2i0000002i−2i000000000
χ262-2-2222-22-2-22-22-22-2-22002222-2-2-2-20000000000000000−2i2i000000−2i2i0000000002-2-2222-22-2-22-22-22-2-22002222-2-2-2-20000000000000000−2i2i000000−2i2i000000000
χ272-2-222-1-22-2121-1-2-111-1002-1-1-1-211100003−33−333−3−333−3−32i−2i000000−ii−i3i300000002-2-222-1-22-2121-1-2-111-1002-1-1-1-211100003−33−333−3−333−3−32i−2i000000−ii−i3i30000000
χ282-2-222-1-22-2121-1-2-111-1002-1-1-1-211100003−33−333−3−333−3−3−2i2i000000i−ii3−i300000002-2-222-1-22-2121-1-2-111-1002-1-1-1-211100003−33−333−3−333−3−3−2i2i000000i−ii3−i30000000
χ292-2-222-1-22-2121-1-2-111-1002-1-1-1-21110000−33−33−3−333−3−3332i−2i000000−iii3−i300000002-2-222-1-22-2121-1-2-111-1002-1-1-1-21110000−33−33−3−333−3−3332i−2i000000−iii3−i30000000
χ302-2-222-1-22-2121-1-2-111-1002-1-1-1-21110000−33−33−3−333−3−333−2i2i000000i−i−i3i300000002-2-222-1-22-2121-1-2-111-1002-1-1-1-21110000−33−33−3−333−3−333−2i2i000000i−i−i3i30000000
χ312-2-22-122-21-2-1-221-111-1001-211-12-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3002i−2i00000000−ii3−30002-2-22-122-21-2-1-221-111-1001-211-12-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3002i−2i00000000−ii3−3000
χ322-2-22-122-21-2-1-221-111-1001-211-12-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300−2i2i00000000i−i−330002-2-22-122-21-2-1-221-111-1001-211-12-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300−2i2i00000000i−i−33000
χ332-2-22-122-21-2-1-221-111-1001-211-12-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3002i−2i00000000−ii−330002-2-22-122-21-2-1-221-111-1001-211-12-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3002i−2i00000000−ii−33000
χ342-2-22-122-21-2-1-221-111-1001-211-12-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300−2i2i00000000i−i3−30002-2-22-122-21-2-1-221-111-1001-211-12-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300−2i2i00000000i−i3−3000
χ3544444-2-4-44-24-2-24-2-2-2-200-4222-42220000000000000000000000000000000000044444-2-4-44-24-2-24-2-2-2-200-4222-422200000000000000000000000000000000000
χ364444-24-4-4-24-244-2-2-2-2-2002-4222-422000000000000000000000000000000000004444-24-4-4-24-244-2-2-2-2-2002-4222-42200000000000000000000000000000000000
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
χ4144-4-444004-4-44-4-44-44-400000000000000000000000000000000000000000000044-4-444004-4-44-4-44-44-4000000000000000000000000000000000000000000000
χ4244-4-44-20042-4-22-4-22-22000000000000006−6−6666−6−6−6−666000000000000000000044-4-44-20042-4-22-4-22-22000000000000006−6−6666−6−6−6−6660000000000000000000
χ4344-4-44-20042-4-22-4-22-2200000000000000−666−6−6−66666−6−6000000000000000000044-4-44-20042-4-22-4-22-2200000000000000−666−6−6−66666−6−60000000000000000000
χ4444-4-4-2400-2-424-42-22-220000000000i6−i6−i6i60000i6−i6i6−i6−i6i6−i6i6000000000000000000044-4-4-2400-2-424-42-22-220000000000i6−i6−i6i60000i6−i6i6−i6−i6i6−i6i60000000000000000000
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χ4644-4-4-2-200-222-2221-11-100003i−3i003i−3ii6−i6−i6i66−6−66−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13000000000000000000044-4-4-2-200-222-2221-11-100003i−3i003i−3ii6−i6−i6i66−6−66−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ130000000000000000000
χ4744-4-4-2-200-222-2221-11-100003i−3i003i−3i−i6i6i6−i6−666−6ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13000000000000000000044-4-4-2-200-222-2221-11-100003i−3i003i−3i−i6i6i6−i6−666−6ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ130000000000000000000
χ4844-4-4-2-200-222-2221-11-10000−3i3i00−3i3ii6−i6−i6i6−666−6−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23000000000000000000044-4-4-2-200-222-2221-11-10000−3i3i00−3i3ii6−i6−i6i6−666−6−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ230000000000000000000
χ4944-4-4-2-200-222-2221-11-10000−3i3i00−3i3i−i6i6i6−i66−6−66ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23000000000000000000044-4-4-2-200-222-2221-11-10000−3i3i00−3i3i−i6i6i6−i66−6−66ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ230000000000000000000
χ504-44-44-200-4-2-4224-2-22222−22000000002222−22−22−2−222−2−2−2−2222200000000000000000004-44-44-200-4-2-4224-2-22222−22000000002222−22−22−2−222−2−2−2−222220000000000000000000
χ514-44-44-200-4-2-4224-2-222−222200000000−22−22222222−2−22222−2−2−2−200000000000000000004-44-44-200-4-2-4224-2-222−222200000000−22−22222222−2−22222−2−2−2−20000000000000000000
χ524-44-4-2400242-4-4-2-2-22222−2200000000−2−2222222−22−22−2−2−2−2222200000000000000000004-44-4-2400242-4-4-2-2-22222−2200000000−2−2222222−22−22−2−2−2−222220000000000000000000
χ534-44-4-2400242-4-4-2-2-222−22220000000022−2−2−22−2222222222−2−2−2−200000000000000000004-44-4-2400242-4-4-2-2-222−22220000000022−2−2−22−2222222222−2−2−2−20000000000000000000
χ544-44-4-2-2002-2222-211-1-122−22003i−3i00−3i3i−2−222−2−222−2ζ5−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+ζ2300000000000000000004-44-4-2-2002-2222-211-1-122−22003i−3i00−3i3i−2−222−2−222−2ζ5−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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χ584-4-444-24-4-4242-2-4-222-200-42224-2-2-2000000000000000000000000000000000004-4-444-24-4-4242-2-4-222-200-42224-2-2-200000000000000000000000000000000000
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χ614-4-44-2-24-422-22-221-1-110022-1-1-2-2112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i300000000000000000004-4-44-2-24-422-22-221-1-110022-1-1-2-2112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000
χ624-4-44-2-2-4422-22-221-1-1100-2-21122-1-1000023−2323−23−3−333−3−33300000000000000000004-4-44-2-2-4422-22-221-1-1100-2-21122-1-1000023−2323−23−3−333−3−3330000000000000000000
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χ9844444-2-4-44-24-2-24-2-2-2-200-4222-422200000000000000000000000000000000000-4-4-4-4-4244-42-422-42222004-2-2-24-2-2-200000000000000000000000000000000000
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χ1024444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000-4-4-4-42244222222-1-1-1-100-2-211-2-21100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000
χ1034444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000-4-4-4-42244222222-1-1-1-100-2-211-2-211000000003i−3i−3i3i3i−3i−3i3i0000000000000000000
χ10444-4-444004-4-44-4-44-44-4000000000000000000000000000000000000000000000-4-444-4-400-444-444-44-44000000000000000000000000000000000000000000000
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χ11144-4-4-2-200-222-2221-11-10000−3i3i00−3i3ii6−i6−i6i6−666−6−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ230000000000000000000-4-44422002-2-22-2-2-11-1100003i−3i003i−3i−i6i6i6−i66−6−66ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ230000000000000000000
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χ1134-44-44-200-4-2-4224-2-22222−22000000002222−22−22−2−222−2−2−2−222220000000000000000000-44-44-4200424-2-2-422-2-2−222200000000−22−22222222−2−22222−2−2−2−20000000000000000000
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χ1154-44-4-2400242-4-4-2-2-22222−2200000000−2−2222222−22−22−2−2−2−222220000000000000000000-44-442-400-2-4-244222-2-2−22220000000022−2−2−22−2222222222−2−2−2−20000000000000000000
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χ1174-44-4-2-2002-2222-211-1-122−22003i−3i00−3i3i−2−222−2−222−2ζ5−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+ζ230000000000000000000-44-442200-22-2-2-22-1-111−222200−3i3i003i−3i22−2−222−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000
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χ1264-4-44-2-2-4422-22-221-1-1100-2-21122-1-10000−2323−232333−3−333−3−30000000000000000000-444-4224-4-2-22-22-2-111-10022-1-1-2-211000023−2323−23−3−333−3−3330000000000000000000

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