Finite Group Databasebeta

← Group #11787081

Character table — Group #11787081

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122222222233666666666636666666666666666644666612121212121212121212121212121212444444444444121212121212121244121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-11-11-1-11-111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-1i−ii−ii−iii−i−ii−iiiii−i−i−i−ii−ii−iii−i−ii−iii−i−i1-11-11-1
χ101-11-11-1-11-111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-1i−i−iii−iii−i−i−iiiiii−i−i−i−i−iii−i−i−iiii−i−i−iii-11-11-11
χ111-11-11-1-11-111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-1−iii−i−ii−i−iiii−i−i−i−i−iiiiii−i−iiii−i−i−iiii−i−i-11-11-11
χ121-11-11-1-11-111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-11-111-1-111-1-1111111-1-1-1-1-1-1−ii−ii−ii−i−iii−ii−i−i−i−iiiii−ii−ii−i−iii−ii−i−iii1-11-11-1
χ131-11-11-1-11-111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111i−ii−ii−i−i−iiii−i−i−i−i−iiiii−iii−iii−i−ii−i−i−iii1-11-1-11
χ141-11-11-1-11-111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111i−i−iii−i−i−iii−ii−i−i−i−iiiiii−ii−i−i−iiii−iii−i−i-11-111-1
χ151-11-11-1-11-111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111−iii−i−iiii−i−ii−iiiii−i−i−i−i−ii−iiii−i−i−ii−i−iii-11-111-1
χ161-11-11-1-11-111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111−ii−ii−iiii−i−i−iiiiii−i−i−i−ii−i−ii−i−iii−iiii−i−i1-11-1-11
χ1722222222222-12-122222-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200000022000000002200-1-1-1-100-1-1-1-1000000
χ1822222222222-12-122222-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000-2-200000000-2-2001111001111000000
χ1922222222222-12-122222-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100220000002200000000-2-200-1-1-1-1001111000000
χ2022222222222-12-122222-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100-2-2000000-2-2000000002200111100-1-1-1-1000000
χ212222222222-12-12-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220022222200-1-1-1-1-1-1-1-100-1-10000-1-10000000000
χ222222222222-12-12-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2001111111100110000110000000000
χ232222222222-12-12-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-21111220022-2-2-2-2001111111100-1-10000-1-10000000000
χ242222222222-12-12-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-21111-2-200-2-2222200-1-1-1-1-1-1-1-100110000110000000000
χ2522222-2-2-22-22222-2-2-2-2222222-22-22-2-2-2222-2-2-2-2-22002-22-20000000000000000000000000000000000000000000000000022-2-200
χ2622222-2-2-22-22222-2-2-2-2222222-22-22-2-2-2222-2-2-2-2-22002-22-200000000000000000000000000000000000000000000000000-2-22200
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χ282222-22-22-2-22222222222222-2-2-2-2-2-22-222222222-200-2-2-2-20000000000000000-2-200220000000000000000-2-20000220000000000
χ292222-22-22-2-2-12-12-1-1-1-1-122-1-111-2-2112-2-1-1-1-1-12-1-1-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i32200-2-2000000−i3−i3i3i3−i3−i3i3i300-1-10000110000000000
χ302222-22-22-2-2-12-12-1-1-1-1-122-1-111-2-2112-2-1-1-1-1-12-1-1-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-20022000000i3i3−i3−i3i3i3−i3−i300110000-1-10000000000
χ312222-22-22-2-2-12-12-1-1-1-1-122-1-111-2-2112-2-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i32200-2-2000000i3i3−i3−i3i3i3−i3−i300-1-10000110000000000
χ322222-22-22-2-2-12-12-1-1-1-1-122-1-111-2-2112-2-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-20022000000−i3−i3i3i3−i3−i3i3i300110000-1-10000000000
χ332222-2-22-2-222222-2-2-2-222222-22-22-22-22222-2-2-2-2-2-200-22-2200000000000000000022000000-2-20000000000002-22-2000000000000
χ342222-2-22-2-222222-2-2-2-222222-22-22-22-22222-2-2-2-2-2-200-22-22000000000000000000-2-200000022000000000000-22-22000000000000
χ352222-2-22-2-222-12-1-2-2-2-22-1-12-1-221-1-221-1-1-1-1111111001-11-100003−33−33−33−33−33−30022000000-2-2000000000000-11-11003−33−3000000
χ362222-2-22-2-222-12-1-2-2-2-22-1-12-1-221-1-221-1-1-1-1111111001-11-100003−33−33−33−33−33−300-2-2000000220000000000001-11-100−33−33000000
χ372222-2-22-2-222-12-1-2-2-2-22-1-12-1-221-1-221-1-1-1-1111111001-11-10000−33−33−33−33−33−330022000000-2-2000000000000-11-1100−33−33000000
χ382222-2-22-2-222-12-1-2-2-2-22-1-12-1-221-1-221-1-1-1-1111111001-11-10000−33−33−33−33−33−3300-2-2000000220000000000001-11-1003−33−3000000
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χ422-22-22-2-22-222-12-1-2-222-211-2-122-1-1-2-211-11111-1-1-112-2-1-11122-2-2-1-1-1-1-1-111111100−2i2i000000−2i2i00000000−2i2i00ii−i−i00ii−i−i000000
χ432-22-22-2-22-222-12-1-2-222-211-2-122-1-1-2-211-11111-1-1-11-22-1-111-2-222111111-1-1-1-1-1-1002i−2i0000002i−2i00000000−2i2i00−i−iii00ii−i−i000000
χ442-22-22-2-22-222-12-1-2-222-211-2-122-1-1-2-211-11111-1-1-11-22-1-111-2-222111111-1-1-1-1-1-100−2i2i000000−2i2i000000002i−2i00ii−i−i00−i−iii000000
χ452-22-22-2-22-22-12-1211-1-11-2-21-1-1-12211-2-2-111112-1-1-22-2-1-111-1-11122-1-1-1-1-2-211112i−2i002i−2i2i2i−2i−2i00−i−i−i−iiiii00−ii0000−ii0000000000
χ462-22-22-2-22-22-12-1211-1-11-2-21-1-1-12211-2-2-111112-1-1-22-2-1-111-1-11122-1-1-1-1-2-21111−2i2i00−2i2i−2i−2i2i2i00iiii−i−i−i−i00i−i0000i−i0000000000
χ472-22-22-2-22-22-12-1211-1-11-2-21-1-1-12211-2-2-111112-1-1-2-22-1-11111-1-1-2-2111122-1-1-1-12i−2i002i−2i−2i−2i2i2i00iiii−i−i−i−i00−ii0000−ii0000000000
χ482-22-22-2-22-22-12-1211-1-11-2-21-1-1-12211-2-2-111112-1-1-2-22-1-11111-1-1-2-2111122-1-1-1-1−2i2i00−2i2i2i2i−2i−2i00−i−i−i−iiiii00i−i0000i−i0000000000
χ492-22-2-22-2-222222222-2-2-2-2-2-22-22-222-22-22-2-222-2-2-2200-222-20000000000000000002i−2i000000−2i2i0000000000002i−2i−2i2i000000000000
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χ522-22-2-22-2-2222-12-122-2-2-211-2-1-221-12-2-11-111-1-1111-1001-1-1100003−33−33−3−33−33−3300−2i2i0000002i−2i000000000000i−i−ii00−i3i3i3−i3000000
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χ542-22-2-22-2-2222-12-122-2-2-211-2-1-221-12-2-11-111-1-1111-1001-1-110000−33−33−333−33−33−300−2i2i0000002i−2i000000000000i−i−ii00i3−i3−i3i3000000
χ552-22-2-2-2222-22222-2-222-2-2-2-22-2-2-2-222-222-2-2-2-2222200-2-22200000000000000002i−2i00−2i2i00000000000000002i−2i0000−2i2i0000000000
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χ924-4-4400000044-4-40000-4-444400000000-4-440000000000000000000000000000000000-222-200-22-222-22-200000000000000000000
χ934-4-44000000-242-4−2i32i32i3−2i32-44-2-20000000022-2−2i32i302i3−2i3000000000000000000000000000002-2-2200−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ944-4-44000000-242-4−2i32i32i3−2i32-44-2-20000000022-2−2i32i302i3−2i300000000000000000000000000000-222-2001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ954-4-44000000-242-42i3−2i3−2i32i32-44-2-20000000022-22i3−2i30−2i32i3000000000000000000000000000002-2-2200−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ964-4-44000000-242-42i3−2i3−2i32i32-44-2-20000000022-22i3−2i30−2i32i300000000000000000000000000000-222-2001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ9788-8-80000008-4-8400008-44-8-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8000000-4-444−4i34i3−4i34i3-4-444200000000-22-22i3−2i302i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8000000-4-4444i3−4i34i3−4i3-4-444200000000-22-2−2i32i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1008-8-880000008-4-840000-84-48-40000000044-400000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-444−4i34i34i3−4i344-4-4200000000-2-222i3−2i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-4444i3−4i3−4i34i344-4-4200000000-2-22−2i32i302i3−2i3000000000000000000000000000000000000000000000000000000000000000

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