Finite Group Databasebeta

← Group #13162033

Character table — Group #13162033

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181836363636363636363636363636363636363636363672727272727272
order12223334466666666633333666666666666666121212121212412121212121212121212121212121212121212121212121212121212121212121212121244222446688881212242424242424242446612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-11111
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-20000000000000000000022-20000-2-2000022000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-220000220000-2-2000000000000000
χ11222222-122222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000220000220000-1-1-1-100000-1-10000
χ12222222-122222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000-2-20000111100000110000
χ13222222-122222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-211-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000220000-2-20000111100000-1-10000
χ14222222-122222-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-211-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000-2-20000220000-1-1-1-100000110000
χ1522222-122222-1222-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12220000-1-10000-1-100000000200-1-100
χ1622222-122222-1222-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200001100001100000000-2001100
χ1722222-122222-1222-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1222-2-2-211-2-2-1-122-1-1-1-1-1-11111-2-2-2-21111111111112220000-1-10000-1-100000000-2001100
χ1822222-122222-1222-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1-1222-2-2-211-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-200001100001100000000200-1-100
χ1922222-12-2-222-1222-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-211-2-2-2000−i3i30011-2-2111111−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i322-20000110000-1-100000000000−i3i300
χ2022222-12-2-222-1222-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-211-2-2-2000−i3i30011-2-2111111−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-220000-1-100001100000000000i3−i300
χ2122222-12-2-222-1222-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-211-2-2-2000i3−i30011-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i322-20000110000-1-100000000000i3−i300
χ2222222-12-2-222-1222-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-211-2-2-2000i3−i30011-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-220000-1-100001100000000000−i3i300
χ232222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000022000022000000-1-1-1-100000-1-1
χ242222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000-2-20000-2-200000011110000011
χ252222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-1-2-2-2-2-211-1-1-1-122-1-1-1-111111111-2-21111-2-2111100000220000-2-2000000111100000-1-1
χ262222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-1-2-2-2-2-211-1-1-1-122-1-1-1-111111111-2-21111-2-2111100000-2-2000022000000-1-1-1-10000011
χ272-22-2222002-2-22-2-2-22-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002i−2i0000000−i2i22−22i−2i−i2−i2i2i222−2−20000000
χ282-22-2222002-2-22-2-2-22-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002i−2i0000000i2−i2−222i−2ii2i2−i2−i2−2−2220000000
χ292-22-2222002-2-22-2-2-22-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000−2i2i0000000−i2i2−22−2i2i−i2−i2i2i2−2−2220000000
χ302-22-2222002-2-22-2-2-22-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000−2i2i0000000i2−i22−2−2i2ii2i2−i2−i222−2−20000000
χ312-2-222222-2-2-2-2-2-222-2222222-2-2-2-2-2-2-2-2-2-22222222-2-2-2200000002-22-22-222-2-200000000000000000000000002-20000000000000000000002-2
χ322-2-222222-2-2-2-2-2-222-2222222-2-2-2-2-2-2-2-2-2-22222222-2-2-2200000002-22-22-222-2-20000000000000000000000000-22000000000000000000000-22
χ332-2-22222-22-2-2-2-2-222-2222222-2-2-2-2-2-2-2-2-2-222222-2-2222-20000000-22-22-22-2-222000000000000000000000002-200000000000000000002-20000
χ342-2-22222-22-2-2-2-2-222-2222222-2-2-2-2-2-2-2-2-2-222222-2-2222-20000000-22-22-22-2-22200000000000000000000000-220000000000000000000-220000
χ352-2-2222-1-22-2-2-211-12-222-1-1-1-1-2-2111111112-1-1-1-11-222-1-20−i3i30000-221-11-111-1-10000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i30002-20000000000−i3i3−i3i300000-110000
χ362-2-2222-1-22-2-2-211-12-222-1-1-1-1-2-2111111112-1-1-1-11-222-1-20−i3i30000-221-11-111-1-10000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3000-220000000000i3−i3i3−i3000001-10000
χ372-2-2222-1-22-2-2-211-12-222-1-1-1-1-2-2111111112-1-1-1-11-222-1-20i3−i30000-221-11-111-1-10000i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i30002-20000000000i3−i3i3−i300000-110000
χ382-2-2222-1-22-2-2-211-12-222-1-1-1-1-2-2111111112-1-1-1-11-222-1-20i3−i30000-221-11-111-1-10000i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3000-220000000000−i3i3−i3i3000001-10000
χ392-2-22-1222-211-2-2-222-2-1-1-12-1-11111-2-21111-1-12-1-122-21-2-100000−i3i3-11-112-2-1-111−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3000002-2000000000000−i3i3−i3i300000-11
χ402-2-22-1222-211-2-2-222-2-1-1-12-1-11111-2-21111-1-12-1-122-21-2-100000−i3i3-11-112-2-1-111−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i300000-22000000000000i3−i3i3−i3000001-1
χ412-2-22-1222-211-2-2-222-2-1-1-12-1-11111-2-21111-1-12-1-122-21-2-100000i3−i3-11-112-2-1-111i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3000002-2000000000000i3−i3i3−i300000-11
χ422-2-22-1222-211-2-2-222-2-1-1-12-1-11111-2-21111-1-12-1-122-21-2-100000i3−i3-11-112-2-1-111i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i300000-22000000000000−i3i3−i3i3000001-1
χ43444444-2-4-4444-2-2-24444-2-2-2-244-2-2-2-2-2-2-2-24-2-2-2-22-4-4-42-40000000-4-42222222200000000000000000000000000000000000000000000000000
χ4444444-2-24444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111-2-2-24-244-2-2-2-244-2-2-2-2111111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ4544444-2-24444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111-2-2-24-24-42222-4-4-2-2-2-211111122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ4644444-2-2-4-444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111222-42-4000−2i32i3002222-1-1-1-1-1-1−2i3−2i32i32i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000
χ4744444-2-2-4-444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111222-42-40002i3−2i3002222-1-1-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000000000000000000000
χ484444-244-4-4-2-2444444-2-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-2-4-4-42-4200000002222-4-4222200000000000000000000000000000000000000000000000000
χ494444-24-244-2-24-2-2-244-2-21-211-2-211-2-21111-21-211-244-2-2-24-2-244-2-2-2-211-2-21111-2-2-2-21111-2-21111-2-21111000000000000000000000000000000
χ504444-24-244-2-24-2-2-244-2-21-211-2-211-2-21111-21-211-244-2-2-2-422-4-422-2-211-2-211112222-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000000000000000
χ514444-24-2-4-4-2-24-2-2-244-2-21-211-2-211-2-21111-21-2112-4-4222000000022-1-122-1-1-1-100003-3-33003-3-33003-3-33000000000000000000000000000000
χ524444-24-2-4-4-2-24-2-2-244-2-21-211-2-211-2-21111-21-2112-4-4222000000022-1-122-1-1-1-10000-333-300-333-300-333-3000000000000000000000000000000
χ534444-2-2444-2-2-2444-2-2-21-2-21111-2-2-2-211111-2-2114-2-2-24-2444-2-2-2-211-2-2-2-211111111-2-2-2-2-2-21111-2-21111000000000000000000000000000000
χ544444-2-2444-2-2-2444-2-2-21-2-21111-2-2-2-211111-2-2114-2-2-24-2-4-4-4222211-2-2-2-21111-1-1-1-1222222-1-1-1-122-1-1-1-1000000000000000000000000000000
χ554444-2-24-4-4-2-2-2444-2-2-21-2-21111-2-2-2-211111-2-211-4222-42000−2i32i300-1-12222-1-1-1-1i3i3−i3−i30000−2i3−2i3i3i3i3i32i32i3−i3−i3−i3−i3000000000000000000000000000000
χ564444-2-24-4-4-2-2-2444-2-2-21-2-21111-2-2-2-211111-2-211-4222-420002i3−2i300-1-12222-1-1-1-1−i3−i3i3i300002i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3000000000000000000000000000000
χ574444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i321111111111−1−3i32−1+3i32−1+3i32−1−3i3211−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000000000
χ584444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-11−3i321+3i321+3i321−3i32000000000000000000000000000000
χ594444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i321111111111−1+3i32−1−3i32−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000000000
χ604444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-11+3i321−3i321−3i321+3i32000000000000000000000000000000
χ614444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222000−2i32i300-1-1-1-1-1-11+3i321−3i321+3i321−3i32i3i3−i3−i33-3-33i3i3−3−i323−i323−i32−3−i32−i3−i3−3+i323+i323+i32−3+i32000000000000000000000000000000
χ624444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222220002i3−2i300-1-1-1-1-1-11+3i321−3i321+3i321−3i32−i3−i3i3i3-333-3−i3−i33+i32−3+i32−3+i323+i32i3i33−i32−3−i32−3−i323−i32000000000000000000000000000000
χ634444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222000−2i32i300-1-1-1-1-1-11−3i321+3i321−3i321+3i32i3i3−i3−i3-333-3i3i33−i32−3−i32−3−i323−i32−i3−i33+i32−3+i32−3+i323+i32000000000000000000000000000000
χ644444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222220002i3−2i300-1-1-1-1-1-11−3i321+3i321−3i321+3i32−i3−i3i3i33-3-33−i3−i3−3+i323+i323+i32−3+i32i3i3−3−i323−i323−i32−3−i32000000000000000000000000000000
χ6544-4-444400-444-44-4-4-4-444444-44-44-44-4-444-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-200-4442-22-4-4-44-2-2-2-2-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000006−6−6600000000000
χ6744-4-444-200-4442-22-4-4-44-2-2-2-2-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000−666−600000000000
χ6844-4-44-2400-44-2-44-422-4-24-2-2-22-2-442-222-2-22-422200000000000000000000000000000000000000000000000000−2i32i3000000000000000000000
χ6944-4-44-2400-44-2-44-422-4-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000000002i3−2i3000000000000000000000
χ7044-4-4-244002-24-44-4-4-42-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000000000000000i6−i6−i6i60000000
χ7144-4-4-244002-24-44-4-4-42-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000000000000000−i6i6i6−i60000000
χ724-44-444-2004-4-4-222-44-44-2-2-2-24-4-22-22-2-222-422220000000000000000000000000000000000000000000000000000−2i22i20000i2i2−i2−i200000000000
χ734-44-444-2004-4-4-222-44-44-2-2-2-24-4-22-22-2-222-4222200000000000000000000000000000000000000000000000000002i2−2i20000−i2−i2i2i200000000000
χ744-44-44-24004-424-4-42-2-4-24-2-2-2-224-4-22-2-2222-422200000000000000000000000000000000000000000004i−4i00000000000−2i2i000000000000000
χ754-44-44-24004-424-4-42-2-4-24-2-2-2-224-4-22-2-2222-42220000000000000000000000000000000000000000000−4i4i000000000002i−2i000000000000000
χ764-44-4-24400-22-44-4-4-442-2-24-2-2-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000000022−22000000−2−2220000000
χ774-44-4-24400-22-44-4-4-442-2-24-2-2-22-224-4-2-22222-422000000000000000000000000000000000000000000000000000000−222200000022−2−20000000
χ784-4-4444-24-4-4-4-422-24-444-2-2-2-2-4-4222222224-2-2-2-2-24-4-42400000004-4-22-22-2-22200000000000000000000000000000000000000000000000000
χ794-4-444-244-4-4-42-4-44-224-24-2-2-222-4-4222222-24-2-2-24-22-4-440000000-224-4-22-2-22200000000000000000000000000000000000000000000000000
χ804-4-444-24-44-4-42-4-44-224-24-2-2-222-4-4222222-24-2-2-2-42-244-400000002-2-442-222-2-200000000000000000000000000000000000000000000000000
χ814-4-444-2-24-4-4-4222-2-224-2-21112222-1-1-1-1-1-1-2-2111-2-22-4240000000-22-221-111-1-1000000003-333-3-3-33-3-333000000000000000000000000000000
χ824-4-444-2-24-4-4-4222-2-224-2-21112222-1-1-1-1-1-1-2-2111-2-22-4240000000-22-221-111-1-100000000-33-3-3333-333-3-3000000000000000000000000000000
χ834-4-444-2-2-44-4-4222-2-224-2-21112222-1-1-1-1-1-1-2-211122-24-2-40−2i32i300002-22-2-11-1-1110000−2i3−2i32i32i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3000000000000000000000000000000
χ844-4-444-2-2-44-4-4222-2-224-2-21112222-1-1-1-1-1-1-2-211122-24-2-402i3−2i300002-22-2-11-1-11100002i32i3−2i3−2i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3000000000000000000000000000000
χ854-4-44-244-4422-4-4-444-4-2-2-24-2-22222-4-42222-2-24-2-2-4-44-24200000002-22-2-4422-2-200000000000000000000000000000000000000000000000000
χ864-4-44-24-24-422-422-24-4-2-21-21122-1-122-1-1-1-1-21-211-24-422-200000−2i32i3-221-1-2211-1-1−2i32i3−2i32i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3000000000000000000000000000000
χ874-4-44-24-24-422-422-24-4-2-21-21122-1-122-1-1-1-1-21-211-24-422-2000002i3−2i3-221-1-2211-1-12i3−2i32i3−2i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3000000000000000000000000000000
χ884-4-44-24-2-4422-422-24-4-2-21-21122-1-122-1-1-1-1-21-2112-44-2-220−2i32i300002-2-112-2-1-1110000i3i3−i3−i3−2i32i3i3i3−i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000
χ894-4-44-24-2-4422-422-24-4-2-21-21122-1-122-1-1-1-1-21-2112-44-2-2202i3−2i300002-2-112-2-1-1110000−i3−i3i3i32i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000
χ904-4-44-2-244-4222-4-44-22-21-2-211-1-12222-1-1-1-11-2-2114-222-4-200000−2i32i31-1-22-2211-1-1i3−i3i3−i3−2i32i3−2i32i300i3−i3i3−i300i3−i3i3−i3000000000000000000000000000000
χ914-4-44-2-244-4222-4-44-22-21-2-211-1-12222-1-1-1-11-2-2114-222-4-2000002i3−2i31-1-22-2211-1-1−i3i3−i3i32i3−2i32i3−2i300−i3i3−i3i300−i3i3−i3i3000000000000000000000000000000
χ924-4-44-2-24-44222-4-44-22-21-2-211-1-12222-1-1-1-11-2-211-42-2-2420000000-112-22-2-1-1113-3-330000003-33-300-33-33000000000000000000000000000000
χ934-4-44-2-24-44222-4-44-22-21-2-211-1-12222-1-1-1-11-2-211-42-2-2420000000-112-22-2-1-111-333-3000000-33-33003-33-3000000000000000000000000000000
χ944-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2222-200000−2i32i31-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32-333−i323+i32−3−i32−3+i32000000000000000000000000000000
χ954-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2222-2000002i3−2i31-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i323-3−3+i32−3−i323+i323−i32000000000000000000000000000000
χ964-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2222-200000−2i32i31-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i323-3−3−i32−3+i323−i323+i32000000000000000000000000000000
χ974-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2222-2000002i3−2i31-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32-333+i323−i32−3+i32−3−i32000000000000000000000000000000
χ984-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-2-220−2i32i30000-11-11-111+3i321−3i32−1−3i32−1+3i323-3-33i3i3−i3−i3i3−i3−3−i323−i32−3+i323+i32i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000000
χ994-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2-2-2202i3−2i30000-11-11-111+3i321−3i32−1−3i32−1+3i32-333-3−i3−i3i3i3−i3i33+i32−3+i323−i32−3−i32−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000000
χ1004-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-2-220−2i32i30000-11-11-111−3i321+3i32−1+3i32−1−3i32-333-3i3i3−i3−i3i3−i33−i32−3−i323+i32−3+i32i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000000
χ1014-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2-2-2202i3−2i30000-11-11-111−3i321+3i32−1+3i32−1−3i323-3-33−i3−i3i3i3−i3i3−3+i323+i32−3−i323−i32−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000000
χ10288-8-88-4-400-88-44-4444-8-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-4004-484-44-8-84-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48004-4-4-88-84442-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4004-4-44-44444222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4004-4-44-44444222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4008-84-4444-4-8-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-400-44-8-444-884-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4800-4448-8-84-442-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-400-444-4444-44222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-400-444-4444-44222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000

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