Finite Group Databasebeta

← Group #11899567

Character table — Group #11899567

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11222222222222244444444444444444444444444444242424242424242424242424363636361122222222222224444444444444444444444444444424242424242424242424242436363636
order12233446666881212366668121212121212122424242424242424242424242424242422246666661212161616162226644666688121266666812121212121212242424242424242424242424242424242224666666121216161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-111-11-1-11111-1-11-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-111-111-11-1-11111-1-11-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1
χ611-111-11-1-11111-1-11-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-11111-111-11-1-11111-1-11-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-111
χ711-111-11-1-11111-1-11-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11111-111-11-1-11111-1-11-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111
χ811-111-11-1-11111-1-11-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-111-11-1-11111-1-11-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1
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χ1122222-2-2222200-2-2222220-2-2-2-2-2-2-20000000000000000000000000000−22−2222222-2-2222200-2-2222220-2-2-2-2-2-2-20000000000000000000000000000−22−22
χ122222-122-1-1-122222-12-1-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1-1-10000002222-122-1-1-122222-12-1-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1-1-1000000
χ132222-122-1-1-122222-12-1-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2000011110000002222-122-1-1-122222-12-1-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200001111000000
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χ16222-1222222-122-1-1-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022-1-10000-1-10000222-1222222-122-1-1-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022-1-10000-1-10000
χ17222-1222222-122-1-1-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2110000110000222-1222222-122-1-1-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2110000110000
χ18222-1222222-1-2-2-1-1-1-1-1-1-1-22-1-12-1-1-111-2-2111111-2-211110000−i3i30000−i3i30000222-1222222-1-2-2-1-1-1-1-1-1-1-22-1-12-1-1-111-2-2111111-2-211110000−i3i30000−i3i30000
χ19222-1222222-1-2-2-1-1-1-1-1-1-1-22-1-12-1-1-111-2-2111111-2-211110000i3−i30000i3−i30000222-1222222-1-2-2-1-1-1-1-1-1-1-22-1-12-1-1-111-2-2111111-2-211110000i3−i30000i3−i30000
χ2022-2222-2-2-22200222-2-2-220222-2-2-2-200000000000000000000000000002−2−2222-2222-2-2-22200222-2-2-220222-2-2-2-200000000000000000000000000002−2−22
χ2122-2222-2-2-22200222-2-2-220222-2-2-2-20000000000000000000000000000−222−222-2222-2-2-22200222-2-2-220222-2-2-2-20000000000000000000000000000−222−2
χ2222-222-22-2-222-2-2-2-22-2-2-222-2-2-22222-2-2-2-2-2-2-2-222222222000000000000000022-222-22-2-222-2-2-2-22-2-2-222-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000
χ2322-22-1-2211-1222-2-2-1-211-1-2111-12-1-122-1-1-1-1-1-1-2-21111112-20000-1-11100000022-22-1-2211-1222-2-2-1-211-1-2111-12-1-122-1-1-1-1-1-1-2-21111112-20000-1-111000000
χ2422-22-1-2211-1222-2-2-1-211-1-2111-12-1-122-1-1-1-1-1-1-2-2111111-22000011-1-100000022-22-1-2211-1222-2-2-1-211-1-2111-12-1-122-1-1-1-1-1-1-2-2111111-22000011-1-1000000
χ2522-22-1-2211-12-2-2-2-2-1-211-12111-12-1-1-2-211111122-1-1-1-1-1-1000000−i3i3i3−i300000022-22-1-2211-12-2-2-2-2-1-211-12111-12-1-1-2-211111122-1-1-1-1-1-1000000−i3i3i3−i3000000
χ2622-22-1-2211-12-2-2-2-2-1-211-12111-12-1-1-2-211111122-1-1-1-1-1-1000000i3−i3−i3i300000022-22-1-2211-12-2-2-2-2-1-211-12111-12-1-1-2-211111122-1-1-1-1-1-1000000i3−i3−i3i3000000
χ2722-2-12-22-2-22-12211-1111-1-2-2112-1-1-1-1-122-1-1-1-111-2-21111002-2-1-1000011000022-2-12-22-2-22-12211-1111-1-2-2112-1-1-1-1-122-1-1-1-111-2-21111002-2-1-10000110000
χ2822-2-12-22-2-22-12211-1111-1-2-2112-1-1-1-1-122-1-1-1-111-2-2111100-22110000-1-1000022-2-12-22-2-22-12211-1111-1-2-2112-1-1-1-1-122-1-1-1-111-2-2111100-22110000-1-10000
χ2922-2-12-22-2-22-1-2-211-1111-12-2112-1-1-111-2-21111-1-122-1-1-1-10000−i3i30000i3−i3000022-2-12-22-2-22-1-2-211-1111-12-2112-1-1-111-2-21111-1-122-1-1-1-10000−i3i30000i3−i30000
χ3022-2-12-22-2-22-1-2-211-1111-12-2112-1-1-111-2-21111-1-122-1-1-1-10000i3−i30000−i3i3000022-2-12-22-2-22-1-2-211-1111-12-2112-1-1-111-2-21111-1-122-1-1-1-10000i3−i30000−i3i30000
χ314444-2-4-4-2-2-2400-4-4-24-2-2-202222-422000000000000000000000000000000004444-2-4-4-2-2-2400-4-4-24-2-2-202222-42200000000000000000000000000000000
χ32444-24-4-4444-20022-2-2-2-2-20-422-422200000000000000000000000000000000444-24-4-4444-20022-2-2-2-2-20-422-422200000000000000000000000000000000
χ33444-2-244-2-2-2-244-2-21-21114-211-2-211-2-2-2-21111-2-2-2-211110000000000000000444-2-244-2-2-2-244-2-21-21114-211-2-211-2-2-2-21111-2-2-2-211110000000000000000
χ34444-2-244-2-2-2-2-4-4-2-21-2111-4-211-2-2112222-1-1-1-12222-1-1-1-10000000000000000444-2-244-2-2-2-2-4-4-2-21-2111-4-211-2-2112222-1-1-1-12222-1-1-1-10000000000000000
χ35444-2-2-4-4-2-2-2-200221-211102-1-122-1-100003i3i−3i−3i00003i3i−3i−3i0000000000000000444-2-2-4-4-2-2-2-200221-211102-1-122-1-100003i3i−3i−3i00003i3i−3i−3i0000000000000000
χ36444-2-2-4-4-2-2-2-200221-211102-1-122-1-10000−3i−3i3i3i0000−3i−3i3i3i0000000000000000444-2-2-4-4-2-2-2-200221-211102-1-122-1-10000−3i−3i3i3i0000−3i−3i3i3i0000000000000000
χ3744-44-24-422-240044-2-422-20-2-2-22-4220000000000000000000000000000000044-44-24-422-240044-2-422-20-2-2-22-42200000000000000000000000000000000
χ3844-4-244-4-4-44-200-2-2-2222-204-2-2-42220000000000000000000000000000000044-4-244-4-4-44-200-2-2-2222-204-2-2-422200000000000000000000000000000000
χ3944-4-2-24-422-2-200-2-212-1-110-21122-1-100003i3i−3i−3i0000−3i−3i3i3i000000000000000044-4-2-24-422-2-200-2-212-1-110-21122-1-100003i3i−3i−3i0000−3i−3i3i3i0000000000000000
χ4044-4-2-24-422-2-200-2-212-1-110-21122-1-10000−3i−3i3i3i00003i3i−3i−3i000000000000000044-4-2-24-422-2-200-2-212-1-110-21122-1-10000−3i−3i3i3i00003i3i−3i−3i0000000000000000
χ4144-4-2-2-4422-2-2442212-1-11-42-1-1-2-211-2-2-2-211112222-1-1-1-1000000000000000044-4-2-2-4422-2-2442212-1-11-42-1-1-2-211-2-2-2-211112222-1-1-1-10000000000000000
χ4244-4-2-2-4422-2-2-4-42212-1-1142-1-1-2-2112222-1-1-1-1-2-2-2-21111000000000000000044-4-2-2-4422-2-2-4-42212-1-1142-1-1-2-2112222-1-1-1-1-2-2-2-211110000000000000000
χ434-40440000-4-422−22004000-40000000022−2222−2222−2222−220000000000000000000000004-40440000-4-422−22004000-40000000022−2222−2222−2222−22000000000000000000000000
χ444-40440000-4-4−2222004000-400000000−2222−2222−2222−22220000000000000000000000004-40440000-4-4−2222004000-400000000−2222−2222−2222−2222000000000000000000000000
χ454-404-200−2i32i32-422−2200-20−2i32i320000000022−22−22−22−2200i6−i6i6−i6i6−i600000000000000004-404-200−2i32i32-422−2200-20−2i32i320000000022−22−22−22−2200i6−i6i6−i6i6−i60000000000000000
χ464-404-200−2i32i32-4−222200-20−2i32i3200000000−22222−22−22−200−i6i6−i6i6−i6i600000000000000004-404-200−2i32i32-4−222200-20−2i32i3200000000−22222−22−22−200−i6i6−i6i6−i6i60000000000000000
χ474-404-2002i3−2i32-422−2200-202i3−2i320000000022−22−22−22−2200−i6i6−i6i6−i6i600000000000000004-404-2002i3−2i32-422−2200-202i3−2i320000000022−22−22−22−2200−i6i6−i6i6−i6i60000000000000000
χ484-404-2002i3−2i32-4−222200-202i3−2i3200000000−22222−22−22−200i6−i6i6−i6i6−i600000000000000004-404-2002i3−2i32-4−222200-202i3−2i3200000000−22222−22−22−200i6−i6i6−i6i6−i60000000000000000
χ494-40-240000-4222−2223−23-200020023−230000−2222−22−22−226−6006−6−6600000000000000004-40-240000-4222−2223−23-200020023−230000−2222−22−22−226−6006−6−660000000000000000
χ504-40-240000-4222−22−2323-2000200−23230000−2222−22−22−22−6600−666−600000000000000004-40-240000-4222−22−2323-2000200−23230000−2222−22−22−22−6600−666−60000000000000000
χ514-40-240000-42−222223−23-200020023−2300002−2−22222−22−2−6600−666−600000000000000004-40-240000-42−222223−23-200020023−2300002−2−22222−22−2−6600−666−60000000000000000
χ524-40-240000-42−2222−2323-2000200−232300002−2−22222−22−26−6006−6−6600000000000000004-40-240000-42−2222−2323-2000200−232300002−2−22222−22−26−6006−6−660000000000000000
χ534-40-2-200−2i32i32222−2223−2310i3−i3-100−33003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000004-40-2-200−2i32i32222−2223−2310i3−i3-100−33003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000
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χ554-40-2-200−2i32i322−222223−2310i3−i3-100−33003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000004-40-2-200−2i32i322−222223−2310i3−i3-100−33003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ230000000000000000
χ564-40-2-200−2i32i322−2222−232310i3−i3-1003−300−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000004-40-2-200−2i32i322−2222−232310i3−i3-1003−300−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ130000000000000000
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χ594-40-2-2002i3−2i322−222223−2310−i3i3-100−3300−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000004-40-2-2002i3−2i322−222223−2310−i3i3-100−3300−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ130000000000000000
χ604-40-2-2002i3−2i322−2222−232310−i3i3-1003−3003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000004-40-2-2002i3−2i322−2222−232310−i3i3-1003−3003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000
χ61111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ621111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ6311111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.