Finite Group Databasebeta

← Group #11787749

Character table — Group #11787749

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444444444444121212121212121288121212121212121224242424224422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-1-111-1111-11-1-111-1-1-1-1-111111-1-1-11-111-1-1-1-1111-11-11-11-111-1-1111111-1-1-1-1-1-1i−ii−iii−i−iii−i−iiiii−i−i−i−ii−iii−i−iii−i−iii−i−i1-11-11-1
χ101-1-111-1111-11-1-111-1-1-1-1-111111-1-1-11-111-1-1-1-1111-11-11-11-111-1-1111111-1-1-1-1-1-1i−ii−i−i−iiiii−i−iiiii−i−i−i−i−iiii−i−i−i−iii−i−iii-11-11-11
χ111-1-111-1111-11-1-111-1-1-1-1-111111-1-1-11-111-1-1-1-1111-11-11-11-111-1-1111111-1-1-1-1-1-1−ii−iiii−i−i−i−iii−i−i−i−iiiiii−i−i−iiiii−i−iii−i−i-11-11-11
χ121-1-111-1111-11-1-111-1-1-1-1-111111-1-1-11-111-1-1-1-1111-11-11-11-111-1-1111111-1-1-1-1-1-1−ii−ii−i−iii−i−iii−i−i−i−iiiii−ii−i−iii−i−iii−i−iii1-11-11-1
χ131-1-111-1111-11-1-111-1-1-1-1-111111-1-1-11-111-1-1-1-1111-11-1-111-1-1-111-1-1-1-1-1-1111111i−ii−iii−i−i−i−iii−i−i−i−iiiii−iiii−i−iii−i−i−i−iii1-11-1-11
χ141-1-111-1111-11-1-111-1-1-1-1-111111-1-1-11-111-1-1-1-1111-11-1-111-1-1-111-1-1-1-1-1-1111111i−ii−i−i−iii−i−iii−i−i−i−iiiiii−iii−i−i−i−iiiii−i−i-11-111-1
χ151-1-111-1111-11-1-111-1-1-1-1-111111-1-1-11-111-1-1-1-1111-11-1-111-1-1-111-1-1-1-1-1-1111111−ii−iiii−i−iii−i−iiiii−i−i−i−i−ii−i−iiiii−i−i−i−iii-11-111-1
χ161-1-111-1111-11-1-111-1-1-1-1-111111-1-1-11-111-1-1-1-1111-11-1-111-1-1-111-1-1-1-1-1-1111111−ii−ii−i−iiiii−i−iiiii−i−i−i−ii−i−i−iii−i−iiiii−i−i1-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000002-22-20000000000000000002-22-20000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000-22-22000000000000000000-22-220000000000
χ192222222-1222222-1-1-12-1-1-1-1-12-12-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002222-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ202222222-1222222-1-1-12-1-1-1-1-12-12-1-1-1-12-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2-2-21111111100111100000000000000
χ212222222-1222222-1-1-12-1-1-1-1-12-12-1-1-1-12-12-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111122220000-2-2-2-21111111100-1-1-1-100000000000000
χ222222222-1222222-1-1-12-1-1-1-1-12-12-1-1-1-12-12-1-1-12-1-12-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-200002222-1-1-1-1-1-1-1-100111100000000000000
χ23222222-122222-1-1222-12222-1-12-1-1-1-12-12-12-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000220000-1-1-1-1-1-1-1-1000000
χ24222222-122222-1-1222-12222-1-12-1-1-1-12-12-12-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000011111111000000
χ25222222-122222-1-1222-12222-1-12-1-1-1-12-12-12-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100002222000000000000-2-20000-1-1-1-11111000000
χ26222222-122222-1-1222-12222-1-12-1-1-1-12-12-12-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20000000000002200001111-1-1-1-1000000
χ27222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-12-1-1-1-121-21-2111111-1-1001100003−333−3−33−333−3−300002-22-2000000000000000000-11-113−33−3000000
χ28222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-12-1-1-1-121-21-2111111-1-1001100003−333−3−33−333−3−30000-22-220000000000000000001-11-1−33−33000000
χ29222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-12-1-1-1-121-21-2111111-1-100110000−33−3−333−33−3−33300002-22-2000000000000000000-11-11−33−33000000
χ30222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-12-1-1-1-121-21-2111111-1-100110000−33−3−333−33−3−3330000-22-220000000000000000001-11-13−33−3000000
χ312222-2-2222-2-22222222-2-2-2-22-2-2-2222-222-22-2-2-2-2-22-2-20022000000000000000022-2-20000000000000000002-22-200000000000000
χ322222-2-2222-2-22222222-2-2-2-22-2-2-2222-222-22-2-2-2-2-22-2-200220000000000000000-2-222000000000000000000-22-2200000000000000
χ332222-2-222-222-222222222222-2-2-2222-2-2-22-222222-2-2-200-2-20000000000000000000000000000000000000000000000000022-2-200
χ342222-2-222-222-222222222222-2-2-2222-2-2-22-222222-2-2-200-2-200000000000000000000000000000000000000000000000000-2-22200
χ352222-2-22-12-2-2222-1-1-121111-1-21-2-1-1-112-1-2-111-21121100-1-13−33−3003−33−3003−33−322-2-20000000033−3−333−3−300-11-1100000000000000
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χ372222-2-22-12-2-2222-1-1-121111-1-21-2-1-1-112-1-2-111-21121100-1-1−33−3300−33−3300−33−3322-2-200000000−3−333−3−33300-11-1100000000000000
χ382222-2-22-12-2-2222-1-1-121111-1-21-2-1-1-112-1-2-111-21121100-1-1−33−3300−33−3300−33−33-2-2220000000033−3−333−3−3001-11-100000000000000
χ392-2-222-222-22-22-222-2-2-222-2-2222-2-2-22-2-2-22222-2-2-222-200-22000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000
χ402-2-222-222-22-22-222-2-2-222-2-2222-2-2-22-2-2-22222-2-2-222-200-2200000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
χ412-2-222-22-12-22-2-22-111-211-1-1-12-1-211-112-1-21112-1-1-2-112-2-11-1-11122-1-1-1-1-2-211112i−2i2i−2i00002i2i−2i−2i−i−i−i−iiiii00−i−iii00000000000000
χ422-2-222-22-12-22-2-22-111-211-1-1-12-1-211-112-1-21112-1-1-2-112-2-11-1-11122-1-1-1-1-2-21111−2i2i−2i2i0000−2i−2i2i2iiiii−i−i−i−i00ii−i−i00000000000000
χ432-2-222-22-12-22-2-22-111-211-1-1-12-1-211-112-1-21112-1-1-2-11-22-1111-1-1-2-2111122-1-1-1-12i−2i2i−2i0000−2i−2i2i2iiiii−i−i−i−i00−i−iii00000000000000
χ442-2-222-22-12-22-2-22-111-211-1-1-12-1-211-112-1-21112-1-1-2-11-22-1111-1-1-2-2111122-1-1-1-1−2i2i−2i2i00002i2i−2i−2i−i−i−i−iiiii00ii−i−i00000000000000
χ452-2-222-2-122-22-21-12-2-21-2-222-1-12111-1-2-121-211-1-1-11-112-2-1122-2-2-1-1-1-1-1-111111100002i2i−2i−2i0000000000002i−2i0000−i−iii−i−iii000000
χ462-2-222-2-122-22-21-12-2-21-2-222-1-12111-1-2-121-211-1-1-11-112-2-1122-2-2-1-1-1-1-1-11111110000−2i−2i2i2i000000000000−2i2i0000ii−i−iii−i−i000000
χ472-2-222-2-122-22-21-12-2-21-2-222-1-12111-1-2-121-211-1-1-11-11-22-11-2-222111111-1-1-1-1-1-100002i2i−2i−2i000000000000−2i2i0000−i−iiiii−i−i000000
χ482-2-222-2-122-22-21-12-2-21-2-222-1-12111-1-2-121-211-1-1-11-11-22-11-2-222111111-1-1-1-1-1-10000−2i−2i2i2i0000000000002i−2i0000ii−i−i−i−iii000000
χ492-2-222-2-12-22-221-12-2-2122-2-2-1-12111-1-21-2-12-1-1111-1-11001-100003−333−3−3−33−3−33300002i−2i−2i2i000000000000000000−iii−ii3−i3−i3i3000000
χ502-2-222-2-12-22-221-12-2-2122-2-2-1-12111-1-21-2-12-1-1111-1-11001-100003−333−3−3−33−3−3330000−2i2i2i−2i000000000000000000i−i−ii−i3i3i3−i3000000
χ512-2-222-2-12-22-221-12-2-2122-2-2-1-12111-1-21-2-12-1-1111-1-11001-10000−33−3−3333−333−3−300002i−2i−2i2i000000000000000000−iii−i−i3i3i3−i3000000
χ522-2-222-2-12-22-221-12-2-2122-2-2-1-12111-1-21-2-12-1-1111-1-11001-10000−33−3−3333−333−3−30000−2i2i2i−2i000000000000000000i−i−iii3−i3−i3i3000000
χ532-2-22-222222-2-2-222-2-2-222-2-22-2-22-2-222222-222-2-2-2-2-22002-200000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i00000000000000
χ542-2-22-222222-2-2-222-2-2-222-2-22-2-22-2-222222-222-2-2-2-2-22002-20000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i00000000000000
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χ562-2-22-2222-2-222-222-2-2-2-2-2222-2-22-2-222-2-2-22-2-22222-2200-2200000000000000000000000000000000000000000000000000-222-200
χ572-2-22-222-122-2-2-22-111-2-1-111-1-21211-1-12-121-1-1-211-21-100-113−3−33003−33−300−33−332i−2i−2i2i00000000i3i3−i3−i3−i3−i3i3i300−iii−i00000000000000
χ582-2-22-222-122-2-2-22-111-2-1-111-1-21211-1-12-121-1-1-211-21-100-113−3−33003−33−300−33−33−2i2i2i−2i00000000−i3−i3i3i3i3i3−i3−i300i−i−ii00000000000000
χ592-2-22-222-122-2-2-22-111-2-1-111-1-21211-1-12-121-1-1-211-21-100-11−333−300−33−33003−33−32i−2i−2i2i00000000−i3−i3i3i3i3i3−i3−i300−iii−i00000000000000
χ602-2-22-222-122-2-2-22-111-2-1-111-1-21211-1-12-121-1-1-211-21-100-11−333−300−33−33003−33−3−2i2i2i−2i00000000i3i3−i3−i3−i3−i3i3i300i−i−ii00000000000000
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χ934-4-44-44-2-244-4-42-2-2222-2-222122-2-1-11-2-2-2-22112-1-12-11001-123−23−232300−33−33003−33−30000000000000000000000000000000000000000
χ944-4-44-44-2-244-4-42-2-2222-2-222122-2-1-11-2-2-2-22112-1-12-11001-1−232323−23003−33−300−33−330000000000000000000000000000000000000000
χ954-4-44-44-2-2-4-4442-2-222222-2-2122-2-1-11-2222-2-1-1-211-2-1100-110000003-3-3300-333-30000000000000000000000000000000000000000
χ964-4-44-44-2-2-4-4442-2-222222-2-2122-2-1-11-2222-2-1-1-211-2-1100-11000000-333-3003-3-330000000000000000000000000000000000000000
χ9788-8-800-480000-44-88-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−4320002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−434320002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-48000044-8-88-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004444-4-443−43−43432000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004444-4-4−434343−432000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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