Finite Group Databasebeta

← Group #11793868

Character table — Group #11793868

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order124422233444666666121212121212121234444666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212246688888812122424242424242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1
χ922222222-1222-1-1222-122-1-1-1-122-1222222-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1220000-1-1-1-1-1-1000000000000
χ1022222222-1222-1-1222-122-1-1-1-122-1222222-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-20000111111000000000000
χ1122222222-1222-1-1222-122-1-1-1-122-1-2-2-2-222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111111111111122-1-1-2-20000-1-11111000000000000
χ1222222222-1222-1-1222-122-1-1-1-122-1-2-2-2-222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111111111111-2-21122000011-1-1-1-1000000000000
χ132222222-1222222-1-1-12-1-12222-1-1-12222-1-12-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-10000
χ142222222-1222222-1-1-12-1-12222-1-1-12222-1-12-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000111111110000
χ152222222-1222222-1-1-12-1-12222-1-1-1-2-2-2-2-1-12-1-1-1-12-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000022-2-2000000-1-1-1-111110000
χ162222222-1222222-1-1-12-1-12222-1-1-1-2-2-2-2-1-12-1-1-1-12-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000-2-2220000001111-1-1-1-10000
χ1722222-2-2222-2-2222-2-22222222-2-2200002-2-222-2-2-22-2-22-200000000-2-22222-2-2-2-2000000000000000000000000000000000000000000000000002i−2i
χ1822222-2-2222-2-2222-2-22222222-2-2200002-2-222-2-2-22-2-22-200000000-2-22222-2-2-2-200000000000000000000000000000000000000000000000000−2i2i
χ192222-22-222-2-22-2-22-2-222222-2-2-2-220000-222-2-222-22-2-2-22000000002-222-2-222-2-200000000000000000000000000002i−2i0000002i2i−2i−2i000000000000
χ202222-22-222-2-22-2-22-2-222222-2-2-2-220000-222-2-222-22-2-2-22000000002-222-2-222-2-20000000000000000000000000000−2i2i000000−2i−2i2i2i000000000000
χ212222-22-22-1-2-22112-2-2-122-1-111-2-2-10000-22-111-1-11-111-2200000000-11-1-111-1-1113333−3−3−3−333333333−3−3−3−3−3−3−3−300−i3i32i−2i0000−i3i3−i−iii000000000000
χ222222-22-22-1-2-22112-2-2-122-1-111-2-2-10000-22-111-1-11-111-2200000000-11-1-111-1-1113333−3−3−3−333333333−3−3−3−3−3−3−3−300i3−i3−2i2i0000i3−i3ii−i−i000000000000
χ232222-22-22-1-2-22112-2-2-122-1-111-2-2-10000-22-111-1-11-111-2200000000-11-1-111-1-111−3−3−3−33333−3−3−3−3−3−3−3−33333333300−i3i3−2i2i0000−i3i3ii−i−i000000000000
χ242222-22-22-1-2-22112-2-2-122-1-111-2-2-10000-22-111-1-11-111-2200000000-11-1-111-1-111−3−3−3−33333−3−3−3−3−3−3−3−33333333300i3−i32i−2i0000i3−i3−i−iii000000000000
χ252222-2-2222-22-2-2-222222222-2-22220000-2-2-2-2-2-2-22222-2-200000000-2222-2-2-2-2220000000000000000000000000000002-20000000022-2-200000000
χ262222-2-2222-22-2-2-222222222-2-22220000-2-2-2-2-2-2-22222-2-200000000-2222-2-2-2-222000000000000000000000000000000-2200000000-2-22200000000
χ272222-2-22-12-22-2-2-2-1-1-12-1-122-2-2-1-1-1000011-211112-1-1-111−i3−i3−i3−i3i3i3i3i3-22-1-11111-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000002-200000000-1-111−i3−i3i3i30000
χ282222-2-22-12-22-2-2-2-1-1-12-1-122-2-2-1-1-1000011-211112-1-1-111−i3−i3−i3−i3i3i3i3i3-22-1-11111-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000-220000000011-1-1i3i3−i3−i30000
χ292222-2-22-12-22-2-2-2-1-1-12-1-122-2-2-1-1-1000011-211112-1-1-111i3i3i3i3−i3−i3−i3−i3-22-1-11111-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000002-200000000-1-111i3i3−i3−i30000
χ302222-2-22-12-22-2-2-2-1-1-12-1-122-2-2-1-1-1000011-211112-1-1-111i3i3i3i3−i3−i3−i3−i3-22-1-11111-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000-220000000011-1-1−i3−i3i3i30000
χ3122-2-222222-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-200000000-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i−2i00000000002i−2i2i−2i0000
χ3222-2-222222-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-200000000-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i2i0000000000−2i2i−2i2i0000
χ3322-2-2222-12-2-2-222-1-1-1211-2-2-2-211-10000-1-12-1-1-1-12-1-1-111−i3−i3i3i3−i3−i3i3i3-2-21111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000002i−2i0000003−33−3−ii−ii0000
χ3422-2-2222-12-2-2-222-1-1-1211-2-2-2-211-10000-1-12-1-1-1-12-1-1-111−i3−i3i3i3−i3−i3i3i3-2-21111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000−2i2i000000−33−33i−ii−i0000
χ3522-2-2222-12-2-2-222-1-1-1211-2-2-2-211-10000-1-12-1-1-1-12-1-1-111i3i3−i3−i3i3i3−i3−i3-2-21111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000002i−2i000000−33−33−ii−ii0000
χ3622-2-2222-12-2-2-222-1-1-1211-2-2-2-211-10000-1-12-1-1-1-12-1-1-111i3i3−i3−i3i3i3−i3−i3-2-21111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000−2i2i0000003−33−3i−ii−i0000
χ3722-2-22-2-222-222222-2-22-2-2-2-2-2-222200002-2-222-2-2-22-2-2-220000000022-2-2-2-222220000000000000000000000002-222000000-2-20000000000000000
χ3822-2-22-2-222-222222-2-22-2-2-2-2-2-222200002-2-222-2-2-22-2-2-220000000022-2-2-2-22222000000000000000000000000-22-2-2000000220000000000000000
χ3922-2-22-2-22-1-222-1-12-2-2-1-2-2111122-100002-21-1-1111-111-2200000000-1-11111-1-1-1-133−3−333−3−333−3−3−3−333−3−33333−3−32-2-1-1000000113−33−3000000000000
χ4022-2-22-2-22-1-222-1-12-2-2-1-2-2111122-100002-21-1-1111-111-2200000000-1-11111-1-1-1-133−3−333−3−333−3−3−3−333−3−33333−3−3-2211000000-1-1−33−33000000000000
χ4122-2-22-2-22-1-222-1-12-2-2-1-2-2111122-100002-21-1-1111-111-2200000000-1-11111-1-1-1-1−3−333−3−333−3−33333−3−333−3−3−3−3332-2-1-100000011−33−33000000000000
χ4222-2-22-2-22-1-222-1-12-2-2-1-2-2111122-100002-21-1-1111-111-2200000000-1-11111-1-1-1-1−3−333−3−333−3−33333−3−333−3−3−3−333-2211000000-1-13−33−3000000000000
χ4322-2-2-22-22222-2-2-22-2-22-2-2-2-2222220000-222-2-222-22-2-22-200000000-22-2-222-2-2220000000000000000000000000000000000000000000000002-200
χ4422-2-2-22-22222-2-2-22-2-22-2-2-2-2222220000-222-2-222-22-2-22-200000000-22-2-222-2-222000000000000000000000000000000000000000000000000-2200
χ4522-2-2-2-22222-22-2-22222-2-2-2-222-2-2222-2-2-2-2-2-2-2-2-222222222-2-2-2-2222-2-2-22222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ4622-2-2-2-22222-22-2-22222-2-2-2-222-2-22-2-222-2-2-2-2-2-2-2222222-2-22222-2-22-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000
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χ4822-2-2-2-222-12-2211222-1-2-211-1-1-2-2-122-2-2-2-211111-1-1-1-12222-2-2-2-222-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-100i3−i3000000−i3i3i3−i3−i3i3000000000000
χ4922-2-2-2-222-12-2211222-1-2-211-1-1-2-2-1-2-222-2-211111-1-1-1-122-2-22222-2-2-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11100−i3i3000000i3−i3i3−i3−i3i3000000000000
χ5022-2-2-2-222-12-2211222-1-2-211-1-1-2-2-1-2-222-2-211111-1-1-1-122-2-22222-2-2-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11100i3−i3000000−i3i3−i3i3i3−i3000000000000
χ5122-2-2-2-22-122-22-2-2-1-1-1211-2-22211-122-2-211-211112-1-1-1-1-1-1-11111-1-12-211-1-1-1-11122-2-2-2-222-1-11111-1-1-1-11111-1-100000000000000003−3−333−3−330000
χ5222-2-2-2-22-122-22-2-2-1-1-1211-2-22211-122-2-211-211112-1-1-1-1-1-1-11111-1-12-211-1-1-1-11122-2-2-2-222-1-11111-1-1-1-11111-1-10000000000000000−333−3−333−30000
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χ5422-2-2-2-22-122-22-2-2-1-1-1211-2-22211-1-2-22211-211112-1-1-1-1-111-1-1-1-1112-211-1-1-1-111-2-22222-2-211-1-1-1-11111-1-1-1-1110000000000000000−333−33−3−330000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-21111-2111-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-21111-2111-2-222222222-2-21111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
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χ7244-4-44-4-4-2-2-444-2-2-222-2222222-2-210000-22211-1-121-1-12-200000000-2-2-1-1-1-11111−23−232323−23−23232333−3−3−3−333−3−33333−3−30000000000000000000000000000
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χ1124-4−4i4i000-2-20002i3−2i32−2i32i322i−2i2i−2i23−23−23231-222i−2i000−i3i3-330-1i3−i3001+i3−1−i32ζ11−2ζ112ζ7−2ζ71−i3−1+i300−ii−333i−3i3−31−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−3−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ11−2ζ2−ζ10−ζ112ζ2+ζ10+ζ11ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ112ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ102ζ7−ζ10+ζ11−2ζ7+ζ10−ζ110000000000000000000000000000
χ1134-4−4i4i000-2-20002i3−2i322i3−2i322i−2i2i−2i23−2323−2312-2−2i2i000−i3i33-30-1−i3i300−1+i31−i3−2ζ72ζ7−2ζ112ζ11−1−i31+i300−ii−33−3i3i−33−1+31−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1−31+32ζ7+ζ10+ζ11−2ζ7−ζ10−ζ11−ζ2+ζ7−2ζ10ζ2−ζ7+2ζ102ζ2+ζ10+ζ11−2ζ2−ζ10−ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ11ζ2+ζ7+2ζ10−ζ2−ζ7−2ζ10−2ζ2−ζ10+ζ112ζ2+ζ10−ζ11ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ110000000000000000000000000000
χ1144-4−4i4i000-2-20002i3−2i322i3−2i322i−2i2i−2i23−2323−231-222i−2i000−i3i33-30-1−i3i3001−i3−1+i32ζ7−2ζ72ζ11−2ζ111+i3−1−i300−ii−33−3i3i−331−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−3−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11ζ2−ζ7+2ζ10−ζ2+ζ7−2ζ10−2ζ2−ζ10−ζ112ζ2+ζ10+ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−ζ2−ζ7−2ζ10ζ2+ζ7+2ζ102ζ2+ζ10−ζ11−2ζ2−ζ10+ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ110000000000000000000000000000

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