Finite Group Databasebeta

← Group #11793869

Character table — Group #11793869

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order1244222334446666661212121212121212344446666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212122244666688881212121224242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ922222222-122222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-10000
χ1022222222-122222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-2001100-2-20011000011110000
χ1122222222-122222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111020200-1-100-2-200-1-1000011110000
χ1222222222-122222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110-20-20011002200110000-1-1-1-10000
χ132222222-12222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-100000000
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χ152222222-12222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111112020-1-100-2-200-1-100111100000000
χ162222222-12222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-20-20110022001100-1-1-1-100000000
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χ252222-22-2-12-22-21122-12-1-1221122-10000-1-211-1-11-2-111-11-2-2-1-111-1-1113333−3−3−3−3000000003333−3−3−3−33333−3−3−3−30000−i3i3002i−2i00−i3i300−i−iii00000000
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χ272222-22-2-12-22-21122-12-1-1221122-10000-1-211-1-11-2-111-11-2-2-1-111-1-111−3−3−3−3333300000000−3−3−3−33333−3−3−3−333330000−i3i300−2i2i00−i3i300ii−i−i00000000
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χ292222-2-2222-2-22-2-2-2-2222222-2-2-2-220000-2-2-2-2-2-222222-22-2222-2-2-2-222000000000000000000000000000000000000000000000000000000002-200
χ302222-2-2222-2-22-2-2-2-2222222-2-2-2-220000-2-2-2-2-2-222222-22-2222-2-2-2-22200000000000000000000000000000000000000000000000000000000-2200
χ3122-2-222222-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000002i−2i
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χ3522-2-22-2-2-12-222-1-1-2-2-1211-2-21122-1000012-1-1111-2-111-1-1-221111-1-1-1-133−3−333−3−30000000033−3−333−3−333−3−333−3−320-20-1-100000011003−33−300000000
χ3622-2-22-2-2-12-222-1-1-2-2-1211-2-21122-1000012-1-1111-2-111-1-1-221111-1-1-1-133−3−333−3−30000000033−3−333−3−333−3−333−3−3-202011000000-1-100−33−3300000000
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χ4122-2-2-22-22-12-22-2-2-1-12-1-2-2112211-100002111-1-1-21-111-22-1-111-1-111-1-10000000033−3−333−3−333−3−3−3−333−3−33333−3−3020-200-1-10000001100003−33−30000
χ4222-2-2-22-22-12-22-2-2-1-12-1-2-2112211-100002111-1-1-21-111-22-1-111-1-111-1-10000000033−3−333−3−333−3−3−3−333−3−33333−3−30-2020011000000-1-10000−33−330000
χ4322-2-2-22-22-12-22-2-2-1-12-1-2-2112211-100002111-1-1-21-111-22-1-111-1-111-1-100000000−3−333−3−333−3−33333−3−333−3−3−3−333020-200-1-1000000110000−33−330000
χ4422-2-2-22-22-12-22-2-2-1-12-1-2-2112211-100002111-1-1-21-111-22-1-111-1-111-1-100000000−3−333−3−333−3−33333−3−333−3−3−3−3330-2020011000000-1-100003−33−30000
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χ4822-2-2-2-222-122-2-2-2112-1-2-21122-1-1-122-2-2-2111112-1-1-1-12-2-1111-1-1-1-11122-2-2-2-222-1-11111-1-1-1-11111-1-1-1-11111-1-1000000i3−i3000000−i3i30000i3−i3−i3i30000
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χ5022-2-2-2-222-122-2-2-2112-1-2-21122-1-1-1-2-222-2111112-1-1-1-12-2-1111-1-1-1-111-2-22222-2-211-1-1-1-11111-1-1-1-11111-1-1-1-111000000i3−i3000000−i3i30000−i3i3i3−i30000
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χ1124-4−4i4i000-2-20002i3−2i3−2i32i3222i−2i2i−2i23−23−23231-222i−2i00−i3i3i3−i300-1-330000−ii−333−33i−3i1−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−31+3−1−3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ111−3−1+31-1−iiζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11−2−32+3−2+32−3−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−ii1-10000000000000000000000000000
χ1134-4−4i4i000-2-20002i3−2i32i3−2i3222i−2i2i−2i23−2323−2312-2−2i2i00−i3i3−i3i300-13-30000−ii−33−33−3i3i−1+31−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1−31+3−1+31−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1−31+32−3−2+3ζ2+2ζ7−ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11i−i-11-11i−i−ζ2+2ζ7+ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ112+3−2−30000000000000000000000000000
χ1144-4−4i4i000-2-20002i3−2i32i3−2i3222i−2i2i−2i23−2323−231-222i−2i00−i3i3−i3i300-13-30000−ii−33−33−3i3i1−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−31−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−3−2+32−3−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−ii1-11-1−iiζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11−2−32+30000000000000000000000000000

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