Finite Group Databasebeta

← Group #11794291

Character table — Group #11794291

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222334444666666666612121212344446666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444488121212121212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002-2000000000022-2-2000000000000
χ1022222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000-220000000000-2-222000000000000
χ112222222-1222222222-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-100000000-1-1-1-10000
χ122222222-1222222222-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-211110000000011110000
χ132222222-1222222222-1-1-122-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111000022-2-2-1-1-1-10000000011110000
χ142222222-1222222222-1-1-122-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111111111110000-2-222111100000000-1-1-1-10000
χ15222222-122222-1-1-1-1-1222-1-12222-122222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-100000000
χ16222222-122222-1-1-1-1-1222-1-12222-122222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000001111111100000000
χ17222222-122222-1-1-1-1-1222-1-12222-1-2-2-2-22-1-1-1-12-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-2-200000000-1-1-1-1111100000000
χ18222222-122222-1-1-1-1-1222-1-12222-1-2-2-2-22-1-1-1-12-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-222000000001111-1-1-1-100000000
χ19222222-12-2-2-2-2-1-1-1-1-1222-1-1-2-2-2-2-100002-1-1-1-12-1-1-11111-2-2−i3−i3−i3−i3i3i3i3i31111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32-20000000000-1-111−i3−i3i3i300000000
χ20222222-12-2-2-2-2-1-1-1-1-1222-1-1-2-2-2-2-100002-1-1-1-12-1-1-11111-2-2−i3−i3−i3−i3i3i3i3i31111111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-22000000000011-1-1i3i3−i3−i300000000
χ21222222-12-2-2-2-2-1-1-1-1-1222-1-1-2-2-2-2-100002-1-1-1-12-1-1-11111-2-2i3i3i3i3−i3−i3−i3−i31111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32-20000000000-1-111i3i3−i3−i300000000
χ22222222-12-2-2-2-2-1-1-1-1-1222-1-1-2-2-2-2-100002-1-1-1-12-1-1-11111-2-2i3i3i3i3−i3−i3−i3−i31111111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-22000000000011-1-1−i3−i3i3i300000000
χ232222-2-2222-22-2-2-22-2-222222222220000-222-2-2-22-2-222-2-2-2-2000000002222-2-2-2-20000000000000000000000000000000000000000000000002-200
χ242222-2-2222-22-2-2-22-2-222222222220000-222-2-2-22-2-222-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000000000000000000000-2200
χ252222-2-222-22-22-2-22-2-222222-2-2-2-220000-222-2-2-22-2-2-2-2222200000000-2-2-2-2222200000000000000000000000000002-20022-2-20000000000000000
χ262222-2-222-22-22-2-22-2-222222-2-2-2-220000-222-2-2-22-2-2-2-2222200000000-2-2-2-222220000000000000000000000000000-2200-2-2220000000000000000
χ272222-2-22-1-22-22-2-22-2-2-1-1-1221111-100001-1-1111-111-2-222-1-1000000001111-1-1-1-13333−3−3−3−33333−3−3−3−33333−3−3−3−300002-200-1-1110000000033−3−30000
χ282222-2-22-1-22-22-2-22-2-2-1-1-1221111-100001-1-1111-111-2-222-1-1000000001111-1-1-1-13333−3−3−3−33333−3−3−3−33333−3−3−3−30000-220011-1-100000000−3−3330000
χ292222-2-22-1-22-22-2-22-2-2-1-1-1221111-100001-1-1111-111-2-222-1-1000000001111-1-1-1-1−3−3−3−33333−3−3−3−33333−3−3−3−3333300002-200-1-11100000000−3−3330000
χ302222-2-22-1-22-22-2-22-2-2-1-1-1221111-100001-1-1111-111-2-222-1-1000000001111-1-1-1-1−3−3−3−33333−3−3−3−33333−3−3−3−333330000-220011-1-10000000033−3−30000
χ3122-2-22-2222-2-22222-2-22-2-2-2-222-2-2200002-2-222-22-2-22-22-22-20000000022-2-222-2-2000000000000000000000000000000000000000000000000002-2
χ3222-2-22-2222-2-22222-2-22-2-2-2-222-2-2200002-2-222-22-2-22-22-22-20000000022-2-222-2-200000000000000000000000000000000000000000000000000-22
χ3322-2-22-222-222-2222-2-22-2-2-2-2-2-222200002-2-222-22-2-2-22-22-2200000000-2-222-2-2220000000000000000000000000000002-20000000000002-22-20000
χ3422-2-22-222-222-2222-2-22-2-2-2-2-2-222200002-2-222-22-2-2-22-22-2200000000-2-222-2-222000000000000000000000000000000-22000000000000-22-220000
χ3522-2-22-22-1-222-2222-2-2-111-2-211-1-1-10000-111-1-11-111-22-221-10000000011-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−30000002-23−33−300000000-11-110000
χ3622-2-22-22-1-222-2222-2-2-111-2-211-1-1-10000-111-1-11-111-22-221-10000000011-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−3000000-22−33−33000000001-11-10000
χ3722-2-22-22-1-222-2222-2-2-111-2-211-1-1-10000-111-1-11-111-22-221-10000000011-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−3330000002-2−33−3300000000-11-110000
χ3822-2-22-22-1-222-2222-2-2-111-2-211-1-1-10000-111-1-11-111-22-221-10000000011-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−333000000-223−33−3000000001-11-10000
χ3922-2-2-222222-2-2-2-22222-2-2-2-222-2-2222-2-2-2-2-2-2-222222-2-22-2222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ4022-2-2-222222-2-2-2-22222-2-2-2-222-2-22-2-222-2-2-2-2-222222-2-22-22-2-222-2-22222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000
χ4122-2-2-2222-2-222-2-22222-2-2-2-2-2-22220000-2-2-2-2-22222-222-22-200000000-2-22222-2-2000000000000000000000000002i−2i0000000000002i−2i2i−2i00000000
χ4222-2-2-2222-2-222-2-22222-2-2-2-2-2-22220000-2-2-2-2-22222-222-22-200000000-2-22222-2-200000000000000000000000000−2i2i000000000000−2i2i−2i2i00000000
χ4322-2-2-222-122-2-2-2-2222-111-2-2-1-111-122-2-211111-1-1-1-12-2-221-122-2-222-2-2-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1000000003−3−3300000000−333−30000
χ4422-2-2-222-122-2-2-2-2222-111-2-2-1-111-122-2-211111-1-1-1-12-2-221-122-2-222-2-2-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-100000000−333−3000000003−3−330000
χ4522-2-2-222-122-2-2-2-2222-111-2-2-1-111-1-2-22211111-1-1-1-12-2-221-1-2-222-2-222-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111000000003−3−33000000003−3−330000
χ4622-2-2-222-122-2-2-2-2222-111-2-2-1-111-1-2-22211111-1-1-1-12-2-221-1-2-222-2-222-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11100000000−333−300000000−333−30000
χ4722-2-2-22-1222-2-211-1-1-12-2-21122-2-2-122-2-2-211112-1-1-1-111-1-22-1-111-1-111-1-11111-1-122-2-2-2-222-1-11111-1-1-1-11111-1-10000000000003−33−33−3−3300000000
χ4822-2-2-22-1222-2-211-1-1-12-2-21122-2-2-122-2-2-211112-1-1-1-111-1-22-1-111-1-111-1-11111-1-122-2-2-2-222-1-11111-1-1-1-11111-1-1000000000000−33−33−333−300000000
χ4922-2-2-22-1222-2-211-1-1-12-2-21122-2-2-1-2-222-211112-1-1-1-111-1-2211-1-111-1-1-1-11111-1-1-2-22222-2-211-1-1-1-11111-1-1-1-1110000000000003−33−3−333−300000000
χ5022-2-2-22-1222-2-211-1-1-12-2-21122-2-2-1-2-222-211112-1-1-1-111-1-2211-1-111-1-1-1-11111-1-1-2-22222-2-211-1-1-1-11111-1-1-1-111000000000000−33−333−3−3300000000
χ5122-2-2-22-12-2-22211-1-1-12-2-211-2-222-10000-211112-1-1-11-1-112-2−i3−i3i3i3i3i3−i3−i311-1-1-1-11100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3002i−2i000000003−3−33−ii−ii00000000
χ5222-2-2-22-12-2-22211-1-1-12-2-211-2-222-10000-211112-1-1-11-1-112-2−i3−i3i3i3i3i3−i3−i311-1-1-1-11100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300−2i2i00000000−333−3i−ii−i00000000
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χ56444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-21111-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-21111-2111-2-2-2-2-2-2222222221111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
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χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-21112222222i32i32i32i3−2i3−2i3−2i3−2i3-1-1-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000000000000000000000000000
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χ7544-4-4-44-2-244-4-422-2-2-2-22222-2-222144-4-42-1-1-1-1-2111-222-22-2-2-222-2-22211-1-1-1-111-2-22222-2-211-1-1-1-11111-1-1-1-1110000000000000000000000000000
χ7644-4-4-44-2-244-4-422-2-2-2-22222-2-2221-4-4442-1-1-1-1-2111-222-22-222-2-222-2-211-1-1-1-11122-2-2-2-222-1-11111-1-1-1-11111-1-10000000000000000000000000000
χ7744-4-4-44-2-2-4-44422-2-2-2-2222222-2-2100002-1-1-1-1-21112-2-22-22−2i3−2i32i32i32i32i3−2i3−2i3-1-11111-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000
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χ1094-4-4400-2-20000−2i32i322i3−2i322-22-2−232323−2312i−2i−2i2i0-11i3−i30-1−i3i30000002ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ73−3−33−3i3i3i−3iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−2ζ2−ζ10−ζ112ζ2+ζ10+ζ112ζ2+ζ10+ζ11−2ζ2−ζ10−ζ11−2ζ2−ζ10+ζ112ζ2+ζ10−ζ112ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−ζ2+ζ7−2ζ10ζ2−ζ7+2ζ10ζ2+ζ7+2ζ10−ζ2−ζ7−2ζ10−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ100000000000000000000000000000
χ1104-4-4400-2-20000−2i32i322i3−2i322-22-2−232323−231−2i2i2i−2i0-11i3−i30-1−i3i3000000−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ73−3−33−3i3i3i−3i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ112ζ2+ζ10+ζ11−2ζ2−ζ10−ζ11−2ζ2−ζ10−ζ112ζ2+ζ10+ζ112ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11−2ζ2−ζ10+ζ112ζ2+ζ10−ζ11−ζ2+ζ7−2ζ10ζ2−ζ7+2ζ10ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ10ζ2+ζ7+2ζ10−ζ2−ζ7−2ζ100000000000000000000000000000
χ1114-4-4400-2-200002i3−2i32−2i32i322-22-223−23−232312i−2i−2i2i0-11−i3i30-1i3−i30000002ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11−333−3−3i3i3i−3i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ10ζ2+ζ7+2ζ10−ζ2−ζ7−2ζ10−ζ2+ζ7−2ζ10ζ2−ζ7+2ζ10ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ102ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11−2ζ2−ζ10+ζ112ζ2+ζ10−ζ112ζ2+ζ10+ζ11−2ζ2−ζ10−ζ11−2ζ2−ζ10−ζ112ζ2+ζ10+ζ110000000000000000000000000000
χ1124-4-4400-2-200002i3−2i32−2i32i322-22-223−23−23231−2i2i2i−2i0-11−i3i30-1i3−i3000000−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11−333−3−3i3i3i−3iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7+2ζ10−ζ2−ζ7−2ζ10−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ10ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−ζ2+ζ7−2ζ10ζ2−ζ7+2ζ10−2ζ2−ζ10+ζ112ζ2+ζ10−ζ112ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11−2ζ2−ζ10−ζ112ζ2+ζ10+ζ112ζ2+ζ10+ζ11−2ζ2−ζ10−ζ110000000000000000000000000000
χ1134-4-4400-2-200002i3−2i32−2i32i322-22-2−232323−2312i−2i−2i2i0-11−i3i30-1i3−i30000002ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ113−3−333i−3i−3i3iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−ζ2+ζ7−2ζ10ζ2−ζ7+2ζ10ζ2+ζ7+2ζ10−ζ2−ζ7−2ζ10−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ10−2ζ2−ζ10−ζ112ζ2+ζ10+ζ112ζ2+ζ10+ζ11−2ζ2−ζ10−ζ11−2ζ2−ζ10+ζ112ζ2+ζ10−ζ112ζ2+ζ10−ζ11−2ζ2−ζ10+ζ110000000000000000000000000000
χ1144-4-4400-2-200002i3−2i32−2i32i322-22-2−232323−231−2i2i2i−2i0-11−i3i30-1i3−i3000000−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ113−3−333i−3i−3i3i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7−2ζ10ζ2−ζ7+2ζ10ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ10ζ2+ζ7+2ζ10−ζ2−ζ7−2ζ102ζ2+ζ10+ζ11−2ζ2−ζ10−ζ11−2ζ2−ζ10−ζ112ζ2+ζ10+ζ112ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11−2ζ2−ζ10+ζ112ζ2+ζ10−ζ110000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.