Finite Group Databasebeta

← Group #11794310

Character table — Group #11794310

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222222233666666666666663444466666666666666666666666121212121212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1
χ922222222222-1222-1-1-1222-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-102020022000000-1-1-1-1-1-100-1-10000
χ1022222222222-1222-1-1-1222-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-200-2-200000011111100110000
χ1122222222222-1222-1-1-1222-1-1-12-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111020200-2-2000000-1-1111100-1-10000
χ1222222222222-1222-1-1-1222-1-1-12-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110-20-2002200000011-1-1-1-100110000
χ132222222222-12-1-1-1222-1-1-1222-12-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-120202200-1-1-1-1-1-1000000-1-1000000
χ142222222222-12-1-1-1222-1-1-1222-12-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20-20-2-20011111100000011000000
χ152222222222-12-1-1-1222-1-1-1222-12-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111112020-2-200-1-11111000000-1-1000000
χ162222222222-12-1-1-1222-1-1-1222-12-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-20-20220011-1-1-1-100000011000000
χ1722222-2-22-2-2222222-2-22222-2-22220000-2-2-2-222-2-2222222-2-2-2-2-2-2-2-220000000000000000000000000000000020-200000220000000000-2-2000000
χ1822222-2-22-2-2222222-2-22222-2-22220000-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2200000000000000000000000000000000-20200000-2-2000000000022000000
χ1922222-2-22-2-2-12-1-1-12-2-2-1-1-12-2-2-12-10000111122-2-2-1-1-1-1-1-111111111-1−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i320-200000-1-1−i3−i3i3i300000011000000
χ2022222-2-22-2-2-12-1-1-12-2-2-1-1-12-2-2-12-10000111122-2-2-1-1-1-1-1-111111111-1−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2020000011i3i3−i3−i3000000-1-1000000
χ2122222-2-22-2-2-12-1-1-12-2-2-1-1-12-2-2-12-10000111122-2-2-1-1-1-1-1-111111111-1i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i320-200000-1-1i3i3−i3−i300000011000000
χ2222222-2-22-2-2-12-1-1-12-2-2-1-1-12-2-2-12-10000111122-2-2-1-1-1-1-1-111111111-1i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2020000011−i3−i3i3i3000000-1-1000000
χ232222-22-2-22-2222-2-22222-2-2222222000022-2-2-2-2-2-222-2-2-2-22222-2-2-2-2200000000000000000000000000000000020-2000000000022000000-2-20000
χ242222-22-2-22-2222-2-22222-2-2222222000022-2-2-2-2-2-222-2-2-2-22222-2-2-2-22000000000000000000000000000000000-2020000000000-2-2000000220000
χ252222-22-2-22-22-12-2-2-1-1-12-2-2-1-1-12-1-1000022-2-21111-1-11111-1-1-1-11111-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3020-20000000000-1-1−i3−i3i3i300110000
χ262222-22-2-22-22-12-2-2-1-1-12-2-2-1-1-12-1-1000022-2-21111-1-11111-1-1-1-11111-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30-202000000000011i3i3−i3−i300-1-10000
χ272222-22-2-22-22-12-2-2-1-1-12-2-2-1-1-12-1-1000022-2-21111-1-11111-1-1-1-11111-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3020-20000000000-1-1i3i3−i3−i300110000
χ282222-22-2-22-22-12-2-2-1-1-12-2-2-1-1-12-1-1000022-2-21111-1-11111-1-1-1-11111-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30-202000000000011−i3−i3i3i300-1-10000
χ292222-2-22-2-22222-2-22-2-22-2-22-2-22220000-2-222-2-22222-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000000000000000002-200
χ302222-2-22-2-22222-2-22-2-22-2-22-2-22220000-2-222-2-22222-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000000000000000-2200
χ3122-2-222-2-2-2222222222-2-2-2-2-2-2-2-2200002-22-22-22-22-222-2-222-2-222-2-2-200000000000000000000000000000000000000000000000000000000002-2
χ3222-2-222-2-2-2222222222-2-2-2-2-2-2-2-2200002-22-22-22-22-222-2-222-2-222-2-2-20000000000000000000000000000000000000000000000000000000000-22
χ3322-2-22-22-22-2222222-2-2-2-2-2-222-2-220000-22-222-2-222-222-2-2-2-222-2-222-2000000000000000000000000000000000000002-2000000002-22-200000000
χ3422-2-22-22-22-2222222-2-2-2-2-2-222-2-220000-22-222-2-222-222-2-2-2-222-2-222-200000000000000000000000000000000000000-2200000000-22-2200000000
χ3522-2-22-22-22-22-1222-111-2-2-21-1-1-21-10000-22-22-111-1-11-1-11111-1-111-1-110000000033−3−333−3−333−3−333−3−333−3−333−3−30000002-20000003−3-11-11003−30000
χ3622-2-22-22-22-22-1222-111-2-2-21-1-1-21-10000-22-22-111-1-11-1-11111-1-111-1-110000000033−3−333−3−333−3−333−3−333−3−333−3−3000000-22000000−331-11-100−330000
χ3722-2-22-22-22-22-1222-111-2-2-21-1-1-21-10000-22-22-111-1-11-1-11111-1-111-1-1100000000−3−333−3−333−3−333−3−333−3−333−3−3330000002-2000000−33-11-1100−330000
χ3822-2-22-22-22-22-1222-111-2-2-21-1-1-21-10000-22-22-111-1-11-1-11111-1-111-1-1100000000−3−333−3−333−3−333−3−333−3−333−3−333000000-220000003−31-11-1003−30000
χ3922-2-2-2222-2-2222-2-2222-222-2-2-2-2-2200002-2-22-22-222-2-2-22222-2-2-2-222-20000000000000000000000000000000000002-200002-22-200000000000000
χ4022-2-2-2222-2-2222-2-2222-222-2-2-2-2-2200002-2-22-22-222-2-2-22222-2-2-2-222-2000000000000000000000000000000000000-220000-22-2200000000000000
χ4122-2-2-2222-2-2-12-1112221-1-1-2-2-21-2-10000-111-1-22-22-1111-1-1-1-11111-1-1133−3−333−3−30000000033−3−3−3−333−3−33333−3−300002-2003−3-11-110000003−3000000
χ4222-2-2-2222-2-2-12-1112221-1-1-2-2-21-2-10000-111-1-22-22-1111-1-1-1-11111-1-1133−3−333−3−30000000033−3−3−3−333−3−33333−3−30000-2200−331-11-1000000−33000000
χ4322-2-2-2222-2-2-12-1112221-1-1-2-2-21-2-10000-111-1-22-22-1111-1-1-1-11111-1-11−3−333−3−33300000000−3−33333−3−333−3−3−3−33300002-200−33-11-11000000−33000000
χ4422-2-2-2222-2-2-12-1112221-1-1-2-2-21-2-10000-111-1-22-22-1111-1-1-1-11111-1-11−3−333−3−33300000000−3−33333−3−333−3−3−3−3330000-22003−31-11-10000003−3000000
χ4522-2-2-2-2-2222222-2-22-2-2-222-222-2-222i2i−2i−2i-222-2-222-22-2-2-222-2-22222-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ4622-2-2-2-2-2222222-2-22-2-2-222-222-2-22−2i−2i2i2i-222-2-222-22-2-2-222-2-22222-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ4722-2-2-2-2-22222-12-2-2-111-2221-1-1-21-12i2i−2i−2i-222-21-1-11-1111-1-111-1-1-1-11112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i000000000000003−3−i3i3i3−i300−330000
χ4822-2-2-2-2-22222-12-2-2-111-2221-1-1-21-12i2i−2i−2i-222-21-1-11-1111-1-111-1-1-1-11112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i00000000000000−33i3−i3−i3i3003−30000
χ4922-2-2-2-2-22222-12-2-2-111-2221-1-1-21-1−2i−2i2i2i-222-21-1-11-1111-1-111-1-1-1-1111−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii000000000000003−3i3−i3−i3i300−330000
χ5022-2-2-2-2-22222-12-2-2-111-2221-1-1-21-1−2i−2i2i2i-222-21-1-11-1111-1-111-1-1-1-1111−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii00000000000000−33−i3i3i3−i3003−30000
χ5122-2-2-2-2-2222-12-1112-2-21-1-1-2221-2-12i2i−2i−2i1-1-11-222-2-1111-1-111-1-1-1-1111−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−iiiii−i−i000000003−3−i3i3i3−i3000000−33000000
χ5222-2-2-2-2-2222-12-1112-2-21-1-1-2221-2-12i2i−2i−2i1-1-11-222-2-1111-1-111-1-1-1-1111−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−iiiii−i−i00000000−33i3−i3−i3i30000003−3000000
χ5322-2-2-2-2-2222-12-1112-2-21-1-1-2221-2-1−2i−2i2i2i1-1-11-222-2-1111-1-111-1-1-1-1111ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiii−i−i−i−iii000000003−3i3−i3−i3i3000000−33000000
χ5422-2-2-2-2-2222-12-1112-2-21-1-1-2221-2-1−2i−2i2i2i1-1-11-222-2-1111-1-111-1-1-1-1111ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiii−i−i−i−iii00000000−33−i3i3i3−i30000003−3000000
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ5744444-4-44-4-44-2444-222444-2224-2-20000-4-4-4-4-2-222-2-2-2-2-2-222222222-2000000000000000000000000000000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-222-2-2-2-222-2-2100002222-2-222111111-1-1-1-1-1-1-1-11−2i3−2i3−2i3−2i32i32i32i32i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-222-2-2-2-222-2-2100002222-2-222111111-1-1-1-1-1-1-1-112i32i32i32i3−2i3−2i3−2i3−2i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000000000000000000000000000
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χ654444-4-44-4-44-2-2-222-222-222-222-2-21000022-2-222-2-211-1-1-1-1-1-1-1-11111100000000000000003333-3-3-3-3-3-3-3-333330000000000000000000000000000
χ664444-4-44-4-44-2-2-222-222-222-222-2-21000022-2-222-2-211-1-1-1-1-1-1-1-1111110000000000000000-3-3-3-333333333-3-3-3-30000000000000000000000000000
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χ6944-4-444-4-4-44-2-2-2-2-2-2-2-22222222210000-22-22-22-221-111-1-111-1-111-1-1-100000000000000003i3i−3i−3i3i3i−3i−3i−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ7044-4-444-4-4-44-2-2-2-2-2-2-2-22222222210000-22-22-22-221-111-1-111-1-111-1-1-10000000000000000−3i−3i3i3i−3i−3i3i3i3i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
χ7144-4-44-44-44-4-24-2-2-24-4-4222-4442-4-200002-22-24-4-44-22-2-22222-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ7244-4-44-44-44-4-2-2-2-2-2-2222222-2-222100002-22-2-222-21-111-1-1-1-111-1-111-1000000002323−23−232323−23−23−3−333−3−333−3−333−3−3330000000000000000000000000000
χ7344-4-44-44-44-4-2-2-2-2-2-2222222-2-222100002-22-2-222-21-111-1-1-1-111-1-111-100000000−23−232323−23−23232333−3−333−3−333−3−333−3−30000000000000000000000000000
χ7444-4-4-4444-4-44-24-4-4-2-2-2-444222-42-200004-4-442-22-2-2222-2-2-2-22222-2-22000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-4444-4-4-2-2-222-2-2-22-2-22222210000-222-22-22-21-1-1-11111-1-1-1-111-12323−23−232323−23−2300000000−3−33333−3−333−3−3−3−3330000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.