Finite Group Databasebeta

← Group #11865325

Character table — Group #11865325

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212122222224444446666121212124466661212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111
χ911-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1111-11-1-1-11-11-11111-1-1-1-11-11-11-11-11-111-1-11-11-11-1
χ1011-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-11-1-111111-1-1-1-1-11-111-1-111-1-1-111-11-11-11
χ1111-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1-111111-11-1-111-1-1111-1-1-11-11-11
χ1211-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1111-11-11-1-1-1-11111-11-11-11-11-11-1-1111-11-11-1
χ1311-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-111-11111-1-1-1-1-111-1-111-1-11-1-111-11-111-1
χ1411-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-11-11-1-1-11-111111-1-1-1-11-1-11-11-11-1111-1-11-11-1-11
χ1511-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-1-11-11-1111-11-1-1-1-1-11111-111-11-11-11-1-1-1111-11-1-11
χ1611-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-11-1-1-1-111111-1-111-1-111-111-1-1-11-111-1
χ1722222222-1222-1-12-122-1-1-1-1-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200222200-1-1-1-1-1-1-1-10000-1-100-1-10000000000
χ1822222222-1222-1-12-122-1-1-1-1-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2001111111100001100110000000000
χ1922222222-1222-1-12-122-1-1-1-1-12-1-12-1-1-12222-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-2111122-2-20022-2-200-1-1-1-1-1-1-1-100001100110000000000
χ2022222222-1222-1-12-122-1-1-1-1-12-1-12-1-1-12222-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-21111-2-22200-2-22200111111110000-1-100-1-10000000000
χ212222222-1222222-12-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220000220000000022-1-100-1-100-1-1-1-1000000
χ222222222-1222222-12-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-2-200000000-2-2110011001111000000
χ232222222-1222222-12-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100002200002200000000-2-2-1-100-1-1001111000000
χ242222222-1222222-12-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-1-1-2-2-2-2-1-11111111111110000-2-20000-2-2000000002211001100-1-1-1-1000000
χ2522222-2-2222-2-222222222222-2-2-22222-22-2-2-2-2222200-2-20000-2-2000000000000002-20000-22000000000000002-200-220000000000
χ2622222-2-2222-2-222222222222-2-2-22222-22-2-2-2-2222200-2-20000-2-200000000000000-2200002-200000000000000-22002-20000000000
χ2722222-2-22-12-2-2-1-12-122-1-1-1-1-1-2112-1-1-1-22-2-211-1-1-1-10011−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i3002-20000-2200−i3−i3i3i3−i3−i3i3i30000-11001-10000000000
χ2822222-2-22-12-2-2-1-12-122-1-1-1-1-1-2112-1-1-1-22-2-211-1-1-1-10011−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i300-2200002-200i3i3−i3−i3i3i3−i3−i300001-100-110000000000
χ2922222-2-22-12-2-2-1-12-122-1-1-1-1-1-2112-1-1-1-22-2-211-1-1-1-10011i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i3002-20000-2200i3i3−i3−i3i3i3−i3−i30000-11001-10000000000
χ3022222-2-22-12-2-2-1-12-122-1-1-1-1-1-2112-1-1-1-22-2-211-1-1-1-10011i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i300-2200002-200−i3−i3i3i3−i3−i3i3i300001-100-110000000000
χ312222-22-222-22-2-2-2222222-2-22-22-2-22-2-22-22-22-222-2-2002-200002-200000000000000000000000000000000000000000000002-2-2200
χ322222-22-222-22-2-2-2222222-2-22-22-2-22-2-22-22-22-222-2-2002-200002-20000000000000000000000000000000000000000000000-222-200
χ332222-2-2222-2-22-2-2222222-2-222-22-22-2-2-2-2-22-2222-2-200-220000-2200000000000000002-20000-2200000000002-200-22000000000000
χ342222-2-2222-2-22-2-2222222-2-222-22-22-2-2-2-2-22-2222-2-200-220000-220000000000000000-2200002-20000000000-22002-2000000000000
χ352222-2-22-12-2-22-2-2-12-1-122-2-2-1-1-221-111111-1-22-1-111001-100001-13−33−33−33−33−33−300002-20000-220000000000-11001-1003−33−3000000
χ362222-2-22-12-2-22-2-2-12-1-122-2-2-1-1-221-111111-1-22-1-111001-100001-13−33−33−33−33−33−30000-2200002-200000000001-100-1100−33−33000000
χ372222-2-22-12-2-22-2-2-12-1-122-2-2-1-1-221-111111-1-22-1-111001-100001-1−33−33−33−33−33−3300002-20000-220000000000-11001-100−33−33000000
χ382222-2-22-12-2-22-2-2-12-1-122-2-2-1-1-221-111111-1-22-1-111001-100001-1−33−33−33−33−33−330000-2200002-200000000001-100-11003−33−3000000
χ3922-2-22222-1-2-2-2-1-12-1-2-21111-12-1-12-1-1-12-2-2-21111112-2-1-1-1-1111122-1-1-1-1-2-21111222-200-2-22-200-1-1-1-111110000-1100-110000000000
χ4022-2-22222-1-2-2-2-1-12-1-2-21111-12-1-12-1-1-12-2-2-21111112-2-1-1-1-1111122-1-1-1-1-2-21111-2-2-220022-22001111-1-1-1-100001-1001-10000000000
χ4122-2-22222-1-2-2-2-1-12-1-2-21111-12-1-12-1-1-12-2-2-2111111-22-1-111-1-111-2-2111122-1-1-1-122-2200-2-2-2200-1-1-1-1111100001-1001-10000000000
χ4222-2-22222-1-2-2-2-1-12-1-2-21111-12-1-12-1-1-12-2-2-2111111-22-1-111-1-111-2-2111122-1-1-1-1-2-22-200222-2001111-1-1-1-10000-1100-110000000000
χ4322-2-2222-12-2-2-222-1211-2-2-2-2-1-122-1-1-1-1-1111-2-211112-2-1-122-2-211-1-1-1-1-1-111111100002-200002-2000000002-2-1100-1100-1-111000000
χ4422-2-2222-12-2-2-222-1211-2-2-2-2-1-122-1-1-1-1-1111-2-211112-2-1-122-2-211-1-1-1-1-1-11111110000-220000-2200000000-221-1001-10011-1-1000000
χ4522-2-2222-12-2-2-222-1211-2-2-2-2-1-122-1-1-1-1-1111-2-21111-22-1-1-2-22211111111-1-1-1-1-1-100002-200002-200000000-22-1100-110011-1-1000000
χ4622-2-2222-12-2-2-222-1211-2-2-2-2-1-122-1-1-1-1-1111-2-21111-22-1-1-2-22211111111-1-1-1-1-1-10000-220000-22000000002-21-1001-100-1-111000000
χ4722-2-22-2-222-2222222-2-2-2-2-2-22-2-2-22222-2-22222-2-2-2-200-2-200002200000000000000220000-2-2000000000000002200-2-20000000000
χ4822-2-22-2-222-2222222-2-2-2-2-2-22-2-2-22222-2-22222-2-2-2-200-2-200002200000000000000-2-200002200000000000000-2-200220000000000
χ4922-2-22-2-22-1-222-1-12-1-2-21111-1-2112-1-1-1-2-222-1-111110011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i300220000-2-200−i3−i3i3i3i3i3−i3−i30000-1-100110000000000
χ5022-2-22-2-22-1-222-1-12-1-2-21111-1-2112-1-1-1-2-222-1-111110011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i300-2-200002200i3i3−i3−i3−i3−i3i3i300001100-1-10000000000
χ5122-2-22-2-22-1-222-1-12-1-2-21111-1-2112-1-1-1-2-222-1-111110011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i300220000-2-200i3i3−i3−i3−i3−i3i3i30000-1-100110000000000
χ5222-2-22-2-22-1-222-1-12-1-2-21111-1-2112-1-1-1-2-222-1-111110011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i300-2-200002200−i3−i3i3i3i3i3−i3−i300001100-1-10000000000
χ5322-2-2-22-2222-22-2-222-2-2-2-2222-22-2-22-2-222-22-22-2-222002-20000-22000000000000000000000000000000000000000000000022-2-200
χ5422-2-2-22-2222-22-2-222-2-2-2-2222-22-2-22-2-222-22-22-2-222002-20000-220000000000000000000000000000000000000000000000-2-22200
χ5522-2-2-2-222222-2-2-222-2-2-2-22222-22-22-2-2-222-22-2-2-22200-2200002-20000000000000000220000-2-200000000002200-2-2000000000000
χ5622-2-2-2-222222-2-2-222-2-2-2-22222-22-22-2-2-222-22-2-2-22200-2200002-20000000000000000-2-20000220000000000-2-20022000000000000
χ5722-2-2-2-22-1222-2-2-2-1211-2-222-1-1-221-1111-1-112-211-1-1001-10000-113−33−33−3−33−33−330000220000-2-20000000000-1-10011003−3−33000000
χ5822-2-2-2-22-1222-2-2-2-1211-2-222-1-1-221-1111-1-112-211-1-1001-10000-113−33−33−3−33−33−330000-2-200002200000000001100-1-100−333−3000000
χ5922-2-2-2-22-1222-2-2-2-1211-2-222-1-1-221-1111-1-112-211-1-1001-10000-11−33−33−333−33−33−30000220000-2-20000000000-1-1001100−333−3000000
χ6022-2-2-2-22-1222-2-2-2-1211-2-222-1-1-221-1111-1-112-211-1-1001-10000-11−33−33−333−33−33−30000-2-200002200000000001100-1-1003−3−33000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211114411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
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χ6544444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-21112-22222111100-1-12i3−2i32i3−2i3-1-100−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000000000
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χ694444-44-4-2-2-44-422-2-2-2-2-2-22212-2221-1-1-22-22-2211-1-1001-100001-100−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000000000
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χ724444-4-44-2-2-4-4422-2-2-2-2-2-2221-22-221-1-1222-22-211-1-100-110000-11−23233−33−3−23233−33−30000000000000000000000000000000000000000
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χ8144-4-4-44-4-2-24-4422-2-22222-2-212-2221-1-1-2-22-22-2-1-111001-10000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000000000
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χ924-4−4i4i0004400000-4-4−4i4i−4i4i0040000-400000000−4i4i000000000000000000000000-2200002i−2i0000-22-222i−2i2i−2i00000000000000000000
χ934-4−4i4i0004-2000−2i32i3-42−4i4i2i−2i−2323-200002−2i32i30000002i−2i−232300000000000000000000002-20000−2i2i0000−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000000000
χ944-4−4i4i0004-2000−2i32i3-42−4i4i2i−2i−2323-200002−2i32i30000002i−2i−23230000000000000000000000-2200002i−2i00001−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ954-4−4i4i0004-20002i3−2i3-42−4i4i2i−2i23−23-2000022i3−2i30000002i−2i23−2300000000000000000000002-20000−2i2i0000−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ700000000000000000000
χ964-4−4i4i0004-20002i3−2i3-42−4i4i2i−2i23−23-2000022i3−2i30000002i−2i23−230000000000000000000000-2200002i−2i00001+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ700000000000000000000
χ978-88i−8i000-48000004-8−4i4i8i−8i00-40000400000000−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−4320000-22i3−2i30000002i−2i−232300000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−434320000-2−2i32i30000002i−2i23−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000-48000004-84i−4i−8i8i00-400004000000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−434320000-22i3−2i3000000−2i2i23−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−4320000-2−2i32i3000000−2i2i−232300000000000000000000000000000000000000000000000000000000000000

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