Finite Group Databasebeta

← Group #11787750

Character table — Group #11787750

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424224444444444121212121212121222666666121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-11111-1-1
χ91-11-11-1111-11-1-1-11-1-11-1-111111-1-1-11-11-11-1-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-11-1i−i1-1i−iii−i−iiiii−i−i−i−i1-11-111-1-1ii−i−i1-1ii−i−ii−i
χ101-11-11-1111-11-1-1-11-1-11-1-111111-1-1-11-11-11-1-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-11-1−ii1-1−ii−i−iii−i−i−i−iiiii1-11-111-1-1−i−iii1-1−i−iii−ii
χ111-11-11-1111-11-1-1-11-1-11-1-111111-1-1-11-11-11-1-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-1-11i−i-11i−iii−i−iiiii−i−i−i−i-11-11-1-111ii−i−i-11−i−iii−ii
χ121-11-11-1111-11-1-1-11-1-11-1-111111-1-1-11-11-11-1-1-1-11111-11-11-111-1-1111111-1-1-1-1-1-1-11−ii-11−ii−i−iii−i−i−i−iiiii-11-11-1-111−i−iii-11ii−i−ii−i
χ131-11-11-1111-11-1-1-11-1-11-1-111111-1-1-11-11-11-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-11111111-1i−i1-1i−i−i−iii−i−i−i−iiiii-111-1-1-111ii−i−i1-1ii−i−i−ii
χ141-11-11-1111-11-1-1-11-1-11-1-111111-1-1-11-11-11-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-11111111-1−ii1-1−iiii−i−iiiii−i−i−i−i-111-1-1-111−i−iii1-1−i−iiii−i
χ151-11-11-1111-11-1-1-11-1-11-1-111111-1-1-11-11-11-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-1111111-11i−i-11i−i−i−iii−i−i−i−iiiii1-1-1111-1-1ii−i−i-11−i−iiii−i
χ161-11-11-1111-11-1-1-11-1-11-1-111111-1-1-11-11-11-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-1111111-11−ii-11−iiii−i−iiiii−i−i−i−i1-1-1111-1-1−i−iii-11ii−i−i−ii
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χ372222-2-2-122-2-2222-1-1-121111-11-2-2-1-1-11-1-122-211-2111100-1-1−33−3300−33−3300−33−33002200-2-20000−3−333−3−33300000000-11-1100000000
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χ452-22-22-2-122-22-2-2-2-111211-1-1-1-12-211-11-112-2-2112-1-1-112-2-11-1-11122-1-1-1-1-2-21111002i−2i002i−2i2i2i−2i−2i−i−i−i−iiiii00000000−i−iii00000000
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χ904-44-4-44-2-2-4-44422-222-222-2-2122-2-1-11-22-22-22-1-1-211-1100-1100002i3−2i3−i3−i3i3i3−2i32i3i3i3−i3−i30000000000000000000000000000000000000000
χ914-4-4400440000-44-4-44-400004000-44-4000000000000000000000000000000000000000002-2-222-22-2-22-2200000000000000000000
χ924-4-4400440000-44-4-44-400004000-44-400000000000000000000000000000000000000000-222-2-22-222-22-200000000000000000000
χ934-4-4400-240000-4422-2-423−23−2323-20002-2200000023−230−23230000000000000000000000000000002-2-22−1−31+3−1+31−31+3−1−31−3−1+300000000000000000000
χ944-4-4400-240000-4422-2-423−23−2323-20002-2200000023−230−2323000000000000000000000000000000-222-21+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000
χ954-4-4400-240000-4422-2-4−232323−23-20002-22000000−2323023−230000000000000000000000000000002-2-22−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000
χ964-4-4400-240000-4422-2-4−232323−23-20002-22000000−2323023−23000000000000000000000000000000-222-21−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000
χ9788-8-8008-40000-44-88-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400004-4-8-8840000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-444-4443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444-44−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000000000

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