Finite Group Databasebeta

← Group #11791663

Character table — Group #11791663

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222222233444466666666666666344446666666121212121212121212121212121212124444121212121212121212121212121212121212121212121212444444888812121212121212121212121224242424242424244412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91-1-11-1-1111111-1-11-1-1-1-1-111-1-1111-11ii−i−i11-1-1-11-11111-1-1-1iiii−i−i−i−i-111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−iii−i−i1-1ii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−i1-1
χ101-1-11-1-1111111-1-11-1-1-1-1-111-1-1111-11ii−i−i11-1-1-11-11111-1-1-1iiii−i−i−i−i-111-1-11111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−iii−i−i1-1−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111−i−iii-11
χ111-1-11-1-1111111-1-11-1-1-1-1-111-1-1111-11ii−i−i11-1-1-11-11111-1-1-1iiii−i−i−i−i-1-1-111-1-1-1-11111ii−i−i11-1-1iiii−i−i−i−i−i−iii-11ii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−i−iii-11
χ121-1-11-1-1111111-1-11-1-1-1-1-111-1-1111-11ii−i−i11-1-1-11-11111-1-1-1iiii−i−i−i−i-1-1-111-1-1-1-11111ii−i−i11-1-1iiii−i−i−i−i−i−iii-11−i−iii-1-111−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−i1-1
χ131-1-11-1-1111111-1-11-1-1-1-1-111-1-1111-11−i−iii11-1-1-11-11111-1-1-1−i−i−i−iiiii-111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii−i−iii1-1ii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111ii−i−i-11
χ141-1-11-1-1111111-1-11-1-1-1-1-111-1-1111-11−i−iii11-1-1-11-11111-1-1-1−i−i−i−iiiii-111-1-11111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii−i−iii1-1−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii1-1
χ151-1-11-1-1111111-1-11-1-1-1-1-111-1-1111-11−i−iii11-1-1-11-11111-1-1-1−i−i−i−iiiii-1-1-111-1-1-1-11111−i−iii11-1-1−i−i−i−iiiiiii−i−i-11ii−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii1-1
χ161-1-11-1-1111111-1-11-1-1-1-1-111-1-1111-11−i−iii11-1-1-11-11111-1-1-1−i−i−i−iiiii-1-1-111-1-1-1-11111−i−iii11-1-1−i−i−i−iiiiiii−i−i-11−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1ii−i−i-11
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-200000000-22222222222220000-2-2-2-2000000000000-2-20000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000000022000022220000000000000000000000000000
χ19222222222-122222222-1-12-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-122222222-1-12-12-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ21222222222-122222222-1-12-12-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-12-1-11111111122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2220000-1-1-1-11111111100000000000000000000
χ22222222222-122222222-1-12-12-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-12-1-1111111112-2-2-2-211111111-2-2-2-2-1-1-1-1111111112222-2-200001111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-22222-1-12-12-1-1-12-1-10000-1-1-1-1-1-1-1-2-211-211−i3−i3i3i3−i3−i3i3i3-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i30000-2-200001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-22222-1-12-12-1-1-12-1-10000-1-1-1-1-1-1-1-2-211-211−i3−i3i3i3−i3−i3i3i3-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i30000220000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-22222-1-12-12-1-1-12-1-10000-1-1-1-1-1-1-1-2-211-211i3i3−i3−i3i3i3−i3−i3-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i30000-2-200001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-22222-1-12-12-1-1-12-1-10000-1-1-1-1-1-1-1-2-211-211i3i3−i3−i3i3i3−i3−i3-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i30000220000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1-122-12-1222-12-12222-1-1-1-1-1-1-1-1-122-12222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1-122-12-1222-12-12222-1-1-1-1-1-1-1-1-122-12222222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ2922222222-122222-1-1-1-122-12-1222-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-122-2-2-2-2-2-2-2-2-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1-122-12-1222-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-122-2-2-2-2-2-2-2-2-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ3122-222-2-2-2222-22-2-22-2-22-22222-2-2-2-222-22-2-2-22-2-2222-22-222-22-22-22-22-2-20000000000002-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000
χ3222-222-2-2-2222-22-2-22-2-22-22222-2-2-2-22-22-22-2-22-2-2222-22-222-2-22-22-22-22-2000000000000-22-222-22-2-22-22-22-22000000000000000000000000000000000000000000
χ3322-222-2-2-222-22-22-22-2-22-22222-2-2-2-220000-2-22-2-222-22-22-2-220000000020000000000000000-22-22000000002i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ3422-222-2-2-222-22-22-22-2-22-22222-2-2-2-220000-2-22-2-222-22-22-2-220000000020000000000000000-22-2200000000−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ3522-222-2-2-22-12-22-2-22-2-2-112-12-111-21-12-22-211-111-1-12-2-112-11-11-11-11-11-2000033−3−333−3−32-22-2-11-11-11-11-11-1100000000003−33−33−3−333−3−3300000000000000000000
χ3622-222-2-2-22-12-22-2-22-2-2-112-12-111-21-12-22-211-111-1-12-2-112-11-11-11-11-11-20000−3−333−3−3332-22-2-11-11-11-11-11-110000000000−33−33−333−3−333−300000000000000000000
χ3722-222-2-2-22-12-22-2-22-2-2-112-12-111-21-1-22-2211-111-1-12-2-112-111-11-11-11-1-2000033−3−333−3−3-22-22-11-111-11-11-11-100000000003−33−3−333−3−333−300000000000000000000
χ3822-222-2-2-22-12-22-2-22-2-2-112-12-111-21-1-22-2211-111-1-12-2-112-111-11-11-11-1-20000−3−333−3−333-22-22-11-111-11-11-11-10000000000−33−333−3−333−3−3300000000000000000000
χ3922-222-2-2-22-1-22-22-22-2-2-112-12-111-21-1000011-111-1-1-221-1-21-1−i3i3i3−i3−i3i3i3−i32000033−3−333−3−300001-11-1−i3i3i3−i3−i3i3i3−i32i−2i2i−2i000000−33−33−ii−ii−ii−ii00000000000000000000
χ4022-222-2-2-22-1-22-22-22-2-2-112-12-111-21-1000011-111-1-1-221-1-21-1−i3i3i3−i3−i3i3i3−i320000−3−333−3−33300001-11-1−i3i3i3−i3−i3i3i3−i3−2i2i−2i2i0000003−33−3i−ii−ii−ii−i00000000000000000000
χ4122-222-2-2-22-1-22-22-22-2-2-112-12-111-21-1000011-111-1-1-221-1-21-1i3−i3−i3i3i3−i3−i3i32000033−3−333−3−300001-11-1i3−i3−i3i3i3−i3−i3i3−2i2i−2i2i000000−33−33i−ii−ii−ii−i00000000000000000000
χ4222-222-2-2-22-1-22-22-22-2-2-112-12-111-21-1000011-111-1-1-221-1-21-1i3−i3−i3i3i3−i3−i3i320000−3−333−3−33300001-11-1i3−i3−i3i3i3−i3−i3i32i−2i2i−2i0000003−33−3−ii−ii−ii−ii00000000000000000000
χ4322-222-2-2-2-122-22-21-1112-2-12-12-2-21-2-12-22-211-111-1-1-112-2-12-22-22-22-22-21000000000000-11-11-11-11-11-11-11-11000000000000000000000033−3−333−3−3003−33−3000000
χ4422-222-2-2-2-122-22-21-1112-2-12-12-2-21-2-12-22-211-111-1-1-112-2-12-22-22-22-22-21000000000000-11-11-11-11-11-11-11-110000000000000000000000−3−333−3−33300−33−33000000
χ4522-222-2-2-2-122-22-21-1112-2-12-12-2-21-2-1-22-2211-111-1-1-112-2-12-2-22-22-22-2210000000000001-11-1-11-111-11-11-11-1000000000000000000000033−3−333−3−300−33−33000000
χ4622-222-2-2-2-122-22-21-1112-2-12-12-2-21-2-1-22-2211-111-1-1-112-2-12-2-22-22-22-2210000000000001-11-1-11-111-11-11-11-10000000000000000000000−3−333−3−333003−33−3000000
χ4722-2-2-22-22220000222-22-2-2-2-2-22-2-22200002-222-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000002−22−20000000000002−22−22−22−2000000−i2i2−i2i200
χ4822-2-2-22-22220000222-22-2-2-2-2-22-2-22200002-222-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000−22−22000000000000−22−22−22−22000000i2−i2i2−i200
χ4922-2-2-22-22220000222-22-2-2-2-2-22-2-22200002-222-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000002−22−20000000000002−22−22−22−2000000i2−i2i2−i200
χ5022-2-2-22-22220000222-22-2-2-2-2-22-2-22200002-222-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000−22−22000000000000−22−22−22−22000000−i2i2−i2i200
χ512-222-22-2-2222-2-22-2-222-2222-2-2-2-2-2222i−2i−2i2i-2-2-2222-22-22-2-2-222i−2i2i−2i−2i2i−2i2i20000000000002i−2i−2i2i2-2-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000
χ522-222-22-2-2222-2-22-2-222-2222-2-2-2-2-222−2i2i2i−2i-2-2-2222-22-22-2-2-22−2i2i−2i2i2i−2i2i−2i2000000000000−2i2i2i−2i2-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ532-222-22-2-222-222-2-2-222-2222-2-2-2-2-2220000-2-2-2222-2-22-2222-200000000-20000000000000000-222-2000000002-2-2200000000002-22-2-22-2200000000000000000000
χ542-222-22-2-222-222-2-2-222-2222-2-2-2-2-2220000-2-2-2222-2-22-2222-200000000-20000000000000000-222-200000000-222-20000000000-22-222-22-200000000000000000000
χ552-222-22-2-22-12-2-22-2-2221-12-1-2111-2-1-12i−2i−2i2i111-1-1-112-2-11-21-1−ii−iii−ii−i2000033−3−3−3−3332i−2i−2i2i-111-1−ii−iii−ii−i00000000003−3−33i3−i3−i3i3−i3i3i3−i300000000000000000000
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χ592-222-22-2-22-1-222-2-2-2221-12-1-2111-2-1-10000111-1-1-11-221-12-113−3−33−333−3-2000033−3−3−3−33300001-1-113−3−33−333−3-222-2000000−333−31-11-1-11-1100000000000000000000
χ602-222-22-2-22-1-222-2-2-2221-12-1-2111-2-1-10000111-1-1-11-221-12-113−3−33−333−3-20000−3−33333−3−300001-1-113−3−33−333−32-2-220000003−3−33-11-111-11-100000000000000000000
χ612-222-22-2-22-1-222-2-2-2221-12-1-2111-2-1-10000111-1-1-11-221-12-11−333−33−3−33-2000033−3−3−3−33300001-1-11−333−33−3−332-2-22000000−333−3-11-111-11-100000000000000000000
χ622-222-22-2-22-1-222-2-2-2221-12-1-2111-2-1-10000111-1-1-11-221-12-11−333−33−3−33-20000−3−33333−3−300001-1-11−333−33−3−33-222-20000003−3−331-11-1-11-1100000000000000000000
χ632-222-22-2-2-122-2-2211-1-1-22-121-2-2-212-12i−2i−2i2i111-1-1-11-112-21-222i−2i2i−2i−2i2i−2i2i-1000000000000−iii−i-111-1−ii−iii−ii−i0000000000000000000000−i3−i3i3i3i3i3−i3−i300−333−3000000
χ642-222-22-2-2-122-2-2211-1-1-22-121-2-2-212-12i−2i−2i2i111-1-1-11-112-21-222i−2i2i−2i−2i2i−2i2i-1000000000000−iii−i-111-1−ii−iii−ii−i0000000000000000000000i3i3−i3−i3−i3−i3i3i3003−3−33000000
χ652-222-22-2-2-122-2-2211-1-1-22-121-2-2-212-1−2i2i2i−2i111-1-1-11-112-21-22−2i2i−2i2i2i−2i2i−2i-1000000000000i−i−ii-111-1i−ii−i−ii−ii0000000000000000000000−i3−i3i3i3i3i3−i3−i3003−3−33000000
χ662-222-22-2-2-122-2-2211-1-1-22-121-2-2-212-1−2i2i2i−2i111-1-1-11-112-21-22−2i2i−2i2i2i−2i2i−2i-1000000000000i−i−ii-111-1i−ii−i−ii−ii0000000000000000000000i3i3−i3−i3−i3−i3i3i300−333−3000000
χ672-22-22-2-222200002-2-22-22-2-2222-2-2-2200002-2-2-22-2200000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000−i2i2i2−i2000000000000−i2i2−i2i2i2−i2i2−i2000000−222−200
χ682-22-22-2-222200002-2-22-22-2-2222-2-2-2200002-2-2-22-2200000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000i2−i2−i2i2000000000000i2−i2i2−i2−i2i2−i2i20000002−2−2200
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χ702-22-22-2-222200002-2-22-22-2-2222-2-2-2200002-2-2-22-220000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000i2−i2−i2i2000000000000i2−i2i2−i2−i2i2−i2i2000000−222−200
χ712-2-22-2-22222-2-2222-2-2-2-2-222-2-2222-22000022-2-2-22-2-2-2-2-222200000000222-2-22222-2-2-2-20000-2-222000000000000-220000-2-2220000000000000000000000000000
χ722-2-22-2-22222-2-2222-2-2-2-2-222-2-2222-22000022-2-2-22-2-2-2-2-2222000000002-2-222-2-2-2-222220000-2-2220000000000002-2000022-2-20000000000000000000000000000
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χ742-2-22-2-2222-122-2-22-2-2-2112-1-21-1-121-12i2i−2i−2i-1-1111-1122-1-1-211−i−i−i−iiiii-2-2-2221111-1-1-1-12i2i−2i−2i-1-111−i−i−i−iiiii−2i−2i2i2i-22000011-1-1iiii−i−i−i−i00000000000000000000
χ752-2-22-2-2222-122-2-22-2-2-2112-1-21-1-121-1−2i−2i2i2i-1-1111-1122-1-1-211iiii−i−i−i−i-222-2-2-1-1-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i−2i−2i2i2i2-20000-1-111iiii−i−i−i−i00000000000000000000
χ762-2-22-2-2222-122-2-22-2-2-2112-1-21-1-121-1−2i−2i2i2i-1-1111-1122-1-1-211iiii−i−i−i−i-2-2-2221111-1-1-1-1−2i−2i2i2i-1-111iiii−i−i−i−i2i2i−2i−2i-22000011-1-1−i−i−i−iiiii00000000000000000000
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χ802-2-22-2-2222-1-2-2222-2-2-2112-1-21-1-121-10000-1-1111-11-2-2112-1-1−3−33333−3−32-2-2221111-1-1-1-1000011-1-1−3−33333−3−300002-20000-1-11133−3−3−3−33300000000000000000000
χ812-2-22-2-222-1222-2-2-1111-2-2-121-222-1-2-12i2i−2i−2i-1-1111-11-1-1221-2-22i2i2i2i−2i−2i−2i−2i1000000000000−i−iii-1-111−i−i−i−iiiii0000002i2i−2i−2i000000000000−i−i−i−iiiii2-2-1-111000000
χ822-2-22-2-222-1222-2-2-1111-2-2-121-222-1-2-12i2i−2i−2i-1-1111-11-1-1221-2-22i2i2i2i−2i−2i−2i−2i1000000000000−i−iii-1-111−i−i−i−iiiii000000−2i−2i2i2i000000000000iiii−i−i−i−i-2211-1-1000000
χ832-2-22-2-222-1222-2-2-1111-2-2-121-222-1-2-1−2i−2i2i2i-1-1111-11-1-1221-2-2−2i−2i−2i−2i2i2i2i2i1000000000000ii−i−i-1-111iiii−i−i−i−i0000002i2i−2i−2i000000000000−i−i−i−iiiii-2211-1-1000000
χ842-2-22-2-222-1222-2-2-1111-2-2-121-222-1-2-1−2i−2i2i2i-1-1111-11-1-1221-2-2−2i−2i−2i−2i2i2i2i2i1000000000000ii−i−i-1-111iiii−i−i−i−i000000−2i−2i2i2i000000000000iiii−i−i−i−i2-2-1-111000000
χ8544444444-24-4-4-4-4-2-2-2-244-24-2444-24-20000-2-2-2-2-2-2-222-4-42-4-40000000020000000000000000222200000000000000000000000000000000000000000000000000
χ8644444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-2-2-2111111111111000000000000000000000000000000000000000000
χ8744444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111-2-2-2-2-2-2-222222222-200000000000022221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21000011111112222222−2i3−2i32i32i3−2i3−2i32i32i320000000000000000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ8944444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-210000111111122222222i32i3−2i3−2i32i32i3−2i3−2i320000000000000000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ90444-4-4-44-4440000-44-4444-4-4-4-4-444-440000-444-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ93444-4-4-44-4-2400002-22-2442-42-4-44-2-4-200002-2-22-2220000000000000000000000000000000000000000000000000000000000000000006−6−666−6−66000000000000
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χ9644-444-4-4-4-2-24-44-42-222-22-2-2-2-2222214-44-4-1-11-1-111-22-22-2-22-22-22-22-222000000000000-22-221-11-11-11-11-11-1000000000000000000000000000000000000000000
χ9744-444-4-4-4-2-24-44-42-222-22-2-2-2-222221-44-44-1-11-1-111-22-22-2-222-22-22-22-220000000000002-22-21-11-1-11-11-11-11000000000000000000000000000000000000000000
χ9844-444-4-4-4-2-2-44-442-222-22-2-2-2-2222210000-1-11-1-1112-22-222-2−2i32i32i3−2i3−2i32i32i3−2i3-20000000000000000-11-11i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ9944-444-4-4-4-2-2-44-442-222-22-2-2-2-2222210000-1-11-1-1112-22-222-22i3−2i3−2i32i32i3−2i3−2i32i3-20000000000000000-11-11−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ10044-4-4-44-444-20000444-4-22-42-42-22-4-2-20000-22-2-222200000000000000004i−4i4i−4i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ10144-4-4-44-444-20000444-4-22-42-42-22-4-2-20000-22-2-22220000000000000000−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ10244-4-4-44-44-240000-2-2-224-42-42-44-424-20000-22-2-22220000000000000000000000000000000000000000000000000022−2222−22000000000000−22−22−22−22000000000000
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χ1054-444-44-4-4-2-24-4-4422-2-22-2-2-222222-214i−4i−4i4i-1-1-1111-1-22-2222-2−2i2i−2i2i2i−2i2i−2i-2000000000000−2i2i2i−2i1-1-11i−ii−i−ii−ii000000000000000000000000000000000000000000
χ1064-444-44-4-4-2-24-4-4422-2-22-2-2-222222-21−4i4i4i−4i-1-1-1111-1-22-2222-22i−2i2i−2i−2i2i−2i2i-20000000000002i−2i−2i2i1-1-11−ii−iii−ii−i000000000000000000000000000000000000000000
χ1074-444-44-4-4-2-2-444-422-2-22-2-2-222222-210000-1-1-1111-12-22-2-2-2223−23−2323−232323−2320000000000000000-111-1−333−33−3−33000000000000000000000000000000000000000000
χ1084-444-44-4-4-2-2-444-422-2-22-2-2-222222-210000-1-1-1111-12-22-2-2-22−232323−2323−23−232320000000000000000-111-13−3−33−333−3000000000000000000000000000000000000000000
χ1094-44-44-4-444-200004-4-442-2-424-2-22-42-20000-2222-22-200000000000000004i−4i−4i4i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1104-44-44-4-444-200004-4-442-2-424-2-22-42-20000-2222-22-20000000000000000−4i4i4i−4i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1114-44-44-4-44-240000-222-2-442-4-244-42-4-20000-2222-22-200000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2i2−i2−i2i2−i2i2000000000000
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χ1134-4-44-4-444-24-4-444-2222-4-4-242-444-2-4-20000-2-2222-2222-4-4-24400000000-2000000000000000022-2-200000000000000000000000000000000000000000000000000
χ1144-4-44-4-444-2-244-4-4-222222-2-222-2-2-2214i4i−4i−4i11-1-1-11-1-2-2-2-2222−2i−2i−2i−2i2i2i2i2i2000000000000−2i−2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000000000
χ1154-4-44-4-444-2-244-4-4-222222-2-222-2-2-221−4i−4i4i4i11-1-1-11-1-2-2-2-22222i2i2i2i−2i−2i−2i−2i20000000000002i2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000
χ1164-4-44-4-444-2-2-4-444-222222-2-222-2-2-221000011-1-1-11-12222-2-2-22323−23−23−23−232323-20000000000000000-1-111−3−33333−3−3000000000000000000000000000000000000000000
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χ1184-4-4-4444-4440000-4-44-4-4-4-4-444-444440000-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4444-44-20000-4-44-422-424-22-24-2-200002-22-222-200000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1204-4-4-4444-44-20000-4-44-422-424-22-24-2-200002-22-222-2000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1214-4-4-4444-4-24000022-22-4-42-4-24-44-24-200002-22-222-2000000000000000000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000
χ1224-4-4-4444-4-24000022-22-4-42-4-24-44-24-200002-22-222-2000000000000000000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000
χ123888-8-8-88-8-4-400004-44-4-4-444444-4-4420000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-88-88-4-40000-4-4-44-444444-444-4200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-8-88-4-40000-444-44-444-4-4-4444200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-8888-8-4-4000044-444444-4-44-4-4-420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).