Finite Group Databasebeta

← Group #11784873

Character table — Group #11784873

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424222222444444121212121212121266666688121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111111111-1-1
χ91-11-11-11111-1-1-1-1-1-11111-1-1111-1-1-11-1111-111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-11-11-1ii−i−iiiii−i−i−i−i1-111-1-1i−i1-1ii−i−i1-11-1i−i
χ101-11-11-11111-1-1-1-1-1-11111-1-1111-1-1-11-1111-111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-11-11−i−iii−i−i−i−iiiii-1111-1-1i−i-11ii−i−i-11-11−ii
χ111-11-11-11111-1-1-1-1-1-11111-1-1111-1-1-11-1111-111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1111-11-1ii−i−iiiii−i−i−i−i1-1-1-111−ii1-1−i−iii-11-11−ii
χ121-11-11-11111-1-1-1-1-1-11111-1-1111-1-1-11-1111-111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111-11-11−i−iii−i−i−i−iiiii-11-1-111−ii-11−i−iii1-11-1i−i
χ131-11-11-11111-1-1-1-1-1-11111-1-1111-1-1-11-1111-111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-11-11-1−i−iii−i−i−i−iiiii1-111-1-1−ii1-1−i−iii1-11-1−ii
χ141-11-11-11111-1-1-1-1-1-11111-1-1111-1-1-11-1111-111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-11-11ii−i−iiiii−i−i−i−i-1111-1-1−ii-11−i−iii-11-11i−i
χ151-11-11-11111-1-1-1-1-1-11111-1-1111-1-1-11-1111-111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-1111-11-1−i−iii−i−i−i−iiiii1-1-1-111i−i1-1ii−i−i-11-11i−i
χ161-11-11-11111-1-1-1-1-1-11111-1-1111-1-1-11-1111-111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-111-11-11ii−i−iiiii−i−i−i−i-11-1-111i−i-11ii−i−i1-11-1−ii
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χ28222222-122222-1-1222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-10000-2-2-2-2-2-2-2-21111111111000000110000000000
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χ382222-2-2-12-22-22-1-1222-11111-11-2-2-1-1-11-22-1-111-21121100-1-1−33−330−330−330−330−330000-2-222000033−3−333−3−311000000-1-10000000000
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χ452-22-22-22-1-2-222-2-211-12-2-222-12-1111-1-211-2211-1-1-1-1-11001-10000−i3−i3−i3i3i3i3i3i3i3−i3−i3−i32-2-22000000000000000000-111-10000−i3i3i3−i3000000
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χ502-22-22-2-1222-2-211-2-22-1-1-111-1-12-211-1122-11-1-1-211-2-112i−2i-11−i−iii2i−i−i2i−i−i−2iii−2iii0000-22-22−2i−2i2i2iiiii−i−i−i−i1-10000001-10000000000
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χ904-44-4-44-2-2-444-42222-2-222-2-2122-2-1-11-22-2-22-1-1-2112-11001-12i3−2i3−2i32i30−i3i30−i3i30i3−i30i3−i30000000000000000000000000000000000000000
χ914-4-4400440000-44-44-4-400004000-44-4000000000000000000000000000000000000000002-2-222-22-2-22-2200000000000000000000
χ924-4-4400440000-44-44-4-400004000-44-400000000000000000000000000000000000000000-222-2-22-222-22-200000000000000000000
χ934-4-4400-2400002-2-44-4223−23−2323-20002-220000023−230−232300000000000000000000000000000002-2-22−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000
χ944-4-4400-2400002-2-44-4223−23−2323-20002-220000023−230−23230000000000000000000000000000000-222-21−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000
χ954-4-4400-2400002-2-44-42−232323−23-20002-2200000−2323023−2300000000000000000000000000000002-2-22−1−31+3−1+31−31+3−1−31−3−1+300000000000000000000
χ964-4-4400-2400002-2-44-42−232323−23-20002-2200000−2323023−230000000000000000000000000000000-222-21+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000
χ9788-8-8008-400008-8-444-80000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−4320002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−434320002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-884-44-80000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-44-44443−43−43432000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-44-444−434343−432000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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