Finite Group Databasebeta

← Group #13161982

Character table — Group #13161982

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181836363636363636363636363636363636363636363672727272727272
order12223334466666666633333666666666666666121212121212266666666666666666666666666121212121212121212122244444668888121224242424242424244121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1-111
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-222-20000220000-2-2000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-220000-2-2000022000000000000000
χ11222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12220000-1-10000-1-1000000002-1-10000
χ12222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-200001100001100000000-2110000
χ13222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-12220000-1-10000-1-100000000-2110000
χ14222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1-2-2-2000011000011000000002-1-10000
χ15222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000−i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-21111111122-20000-1-1000011000000000−i3i30000
χ16222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000−i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211111111-2-220000110000-1-1000000000i3−i30000
χ17222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-21111111122-20000-1-1000011000000000i3−i30000
χ18222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211111111-2-220000110000-1-1000000000−i3i30000
χ1922222-122222-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-12-1222-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000022000022000000-1-1-1-100000-1-1
χ2022222-122222-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-12-1222-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000-2-20000-2-200000011110000011
χ2122222-122222-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-12-1-2-2-211-2-21111-2-2111111-2-2111111-1-122-1-1-1-1-1-100000220000-2-2000000111100000-1-1
χ2222222-122222-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-12-1-2-2-211-2-21111-2-2111111-2-2111111-1-122-1-1-1-1-1-100000-2-2000022000000-1-1-1-10000011
χ232222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000220000220000-1-1-1-10000000-1-100
χ242222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000-2-20000-2-20000111100000001100
χ252222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-12-211-2-2-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-1000220000-2-2000011110000000-1-100
χ262222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-12-211-2-2-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-1000-2-20000220000-1-1-1-100000001100
χ272-22-2222002-22-2-2-22-2-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002-2000002-2−i2i2−i2i200−i2−i2i2i2−i2−i2i2i20000000
χ282-22-2222002-22-2-2-22-2-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002-2000002-2i2−i2i2−i200i2i2−i2−i2i2i2−i2−i20000000
χ292-22-2222002-22-2-2-22-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000-2200000-22−i2i2i2−i200−i2−i2i2i2i2i2−i2−i20000000
χ302-22-2222002-22-2-2-22-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000-2200000-22i2−i2−i2i200i2i2−i2−i2−i2−i2i2i20000000
χ312-2-222222-2-2-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-2000002-20000000000000000000002-2
χ322-2-222222-2-2-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-200000-22000000000000000000000-22
χ332-2-22222-22-2-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-2220002-20000000000000000000002-200
χ342-2-22222-22-2-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-222000-22000000000000000000000-2200
χ352-2-222-122-2-2-211-22-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-1000−i3i300−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-112-2-11-1-111000002-2000000000000−i3i3−i3i300000-11
χ362-2-222-122-2-2-211-22-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-1000−i3i300−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-112-2-11-1-11100000-22000000000000i3−i3i3−i3000001-1
χ372-2-222-122-2-2-211-22-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-1000i3−i300i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-112-2-11-1-111000002-2000000000000i3−i3i3−i300000-11
χ382-2-222-122-2-2-211-22-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-1000i3−i300i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-112-2-11-1-11100000-22000000000000−i3i3−i3i3000001-1
χ392-2-22-122-2211-2-2-22-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-20−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i31-11-1-2211-1-10002-20000000000−i3i3−i3i30000000-1100
χ402-2-22-122-2211-2-2-22-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-20−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i31-11-1-2211-1-1000-220000000000i3−i3i3−i300000001-100
χ412-2-22-122-2211-2-2-22-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-20i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i31-11-1-2211-1-10002-20000000000i3−i3i3−i30000000-1100
χ422-2-22-122-2211-2-2-22-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-20i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i31-11-1-2211-1-1000-220000000000−i3i3−i3i300000001-100
χ4344444-24-4-444-2-24444-2-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-2-4-4-42-4200000000000000000000000000022-4-4222222000000000000000000000000000000
χ4444444-2-24444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-2111-2-24-24-2444-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2-2-2-2111111000000000000000000000000000000
χ4544444-2-24444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-2111-2-24-24-2-4-4-42222222222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ4644444-2-2-4-444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-211122-42-4200000−2i32i30000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i32222-1-1-1-1-1-1000000000000000000000000000000
χ4744444-2-2-4-444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-211122-42-42000002i3−2i300002i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i32222-1-1-1-1-1-1000000000000000000000000000000
χ484444-244-4-4-2-244444-24-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-2-4-42-42-40000000000000000000000000002222-4-42222000000000000000000000000000000
χ494444-24-244-2-244-2-2-2-24-21-211-2-211-2-21111-21-211-2-2-24-244-2-244-2-2-2-2-2-211-2-2111111-2-21111-2-211-2-21111000000000000000000000000000000
χ504444-24-244-2-244-2-2-2-24-21-211-2-211-2-21111-21-211-2-2-24-24-422-4-4222222-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000
χ514444-24-2-4-4-2-244-2-2-2-24-21-211-2-211-2-21111-21-211222-42-400000−2i32i30000i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i322-1-122-1-1-1-1000000000000000000000000000000
χ524444-24-2-4-4-2-244-2-2-2-24-21-211-2-211-2-21111-21-211222-42-4000002i3−2i30000−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i322-1-122-1-1-1-1000000000000000000000000000000
χ534444-2-2444-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-21144-2-2-2-24-2-2-2-2441111-2-2-2-21111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000
χ544444-2-2444-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-21144-2-2-2-2-42222-4-4-1-1-1-12222-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000
χ554444-2-24-4-4-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-211-4-4222200000003-3-3300003-3-3300003-3-33-1-12222-1-1-1-1000000000000000000000000000000
χ564444-2-24-4-4-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-211-4-422220000000-333-30000-333-30000-333-3-1-12222-1-1-1-1000000000000000000000000000000
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+3i32-2-2-2-2-2-24-2-2-2-2-2-211111111−1−3i32−1+3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1−3i32−1+3i32111111−1−3i32−1+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+3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-1-11−3i321+3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+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+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1+3i32−1−3i32111111−1+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+3i32−1−3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-1-1-11+3i321−3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000
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+3i3222222200000−2i32i33-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−i3−i3−3+i323+i323+i32−3+i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000
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+3i32222222000002i3−2i3-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000
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+3i32−1−3i3222222200000−2i32i3-333-3i3i3i3i33−i32−3−i32−3−i323−i32−i3−i3−i3−i33+i32−3+i32−3+i323+i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000
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+3i32−1−3i32222222000002i3−2i33-3-33−i3−i3−i3−i3−3+i323+i323+i32−3+i32i3i3i3i3−3−i323−i323−i32−3−i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000
χ6544-4-444400-44-444-4-4-4-444444-44-44-44-4-444-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-200-44-44-222-4-44-2-2-2-2-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000023−23000000000000000
χ6744-4-444-200-44-44-222-4-44-2-2-2-2-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000−2323000000000000000
χ6844-4-44-2400-442-24-4-4-42-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000000000006−6−660000000
χ6944-4-44-2400-442-24-4-4-42-24-2-2-22-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000000000−666−60000000
χ7044-4-4-244002-2-444-4-42-4-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000000000006−6−6600000000000
χ7144-4-4-244002-2-444-4-42-4-2-24-2-22-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000−666−600000000000
χ724-44-444-2004-44-422-2-4-44-2-2-2-24-4-22-22-2-222-4222200000000000000000000000000000000000000000004-400000-22000000000000000000000
χ734-44-444-2004-44-422-2-4-44-2-2-2-24-4-22-22-2-222-422220000000000000000000000000000000000000000000-44000002-2000000000000000000000
χ744-44-44-24004-4-22-4-44-42-24-2-2-2-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000000−2i22i2000000i2i2−i2−i20000000
χ754-44-44-24004-4-22-4-44-42-24-2-2-2-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000000002i2−2i2000000−i2−i2i2i20000000
χ764-44-4-24400-224-4-4-442-4-2-24-2-2-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000000−2i22i20000i2i2−i2−i200000000000
χ774-44-4-24400-224-4-4-442-4-2-24-2-2-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000002i2−2i20000−i2−i2i2i200000000000
χ784-4-4444-24-4-4-4-4-42-22444-2-2-2-2-4-4222222224-2-2-2-2-224-4-440000000000000000000000000004-4-22-22-2-222000000000000000000000000000000
χ794-4-4444-2-44-4-4-4-42-22444-2-2-2-2-4-4222222224-2-2-2-22-2-444-4000000000000000000000000000-442-22-222-2-2000000000000000000000000000000
χ804-4-444-24-44-4-422-44-44-2-24-2-2-222-4-4222222-24-2-2-2-44-4-2420000000000000000000000000002-2-442-222-2-2000000000000000000000000000000
χ814-4-444-2-24-4-4-4222-224-2-2-21112222-1-1-1-1-1-1-2-2111-2242-4-2000−2i32i300−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-22-221-111-1-1000000000000000000000000000000
χ824-4-444-2-24-4-4-4222-224-2-2-21112222-1-1-1-1-1-1-2-2111-2242-4-20002i3−2i3002i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-22-221-111-1-1000000000000000000000000000000
χ834-4-444-2-2-44-4-4222-224-2-2-21112222-1-1-1-1-1-1-2-21112-2-4-24200000000000003-333-3-300-33-3-3332-22-2-11-1-111000000000000000000000000000000
χ844-4-444-2-2-44-4-4222-224-2-2-21112222-1-1-1-1-1-1-2-21112-2-4-2420000000000000-33-3-333003-333-3-32-22-2-11-1-111000000000000000000000000000000
χ854-4-44-2444-422-4-4-44-4-24-2-24-2-22222-4-42222-2-24-2-24-4-2-424000000000000000000000000000-22-224-4-2-222000000000000000000000000000000
χ864-4-44-24-24-422-4-42-22-24-21-21122-1-122-1-1-1-1-21-211-22-2-424000000000003-3003-33-3-3300-33-33-221-1-2211-1-1000000000000000000000000000000
χ874-4-44-24-24-422-4-42-22-24-21-21122-1-122-1-1-1-1-21-211-22-2-42400000000000-3300-33-333-3003-33-3-221-1-2211-1-1000000000000000000000000000000
χ884-4-44-24-2-4422-4-42-22-24-21-21122-1-122-1-1-1-1-21-2112-224-2-40−2i32i30000−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i32-2-112-2-1-111000000000000000000000000000000
χ894-4-44-24-2-4422-4-42-22-24-21-21122-1-122-1-1-1-1-21-2112-224-2-402i3−2i300002i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i32-2-112-2-1-111000000000000000000000000000000
χ904-4-44-2-244-42222-44-4-2-21-2-211-1-12222-1-1-1-11-2-2114-4-222-2000−2i32i300i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i31-1-22-2211-1-1000000000000000000000000000000
χ914-4-44-2-244-42222-44-4-2-21-2-211-1-12222-1-1-1-11-2-2114-4-222-20002i3−2i300−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i31-1-22-2211-1-1000000000000000000000000000000
χ924-4-44-2-24-442222-44-4-2-21-2-211-1-12222-1-1-1-11-2-211-442-2-220−2i32i30000i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3-112-22-2-1-111000000000000000000000000000000
χ934-4-44-2-24-442222-44-4-2-21-2-211-1-12222-1-1-1-11-2-211-442-2-2202i3−2i30000−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3-112-22-2-1-111000000000000000000000000000000
χ944-4-44-2-2-24-422222-22-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-2000−2i32i300i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000
χ954-4-44-2-2-24-422222-22-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-20002i3−2i300−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000
χ964-4-44-2-2-24-422222-22-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-2000−2i32i300i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000
χ974-4-44-2-2-24-422222-22-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-20002i3−2i300−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000
χ984-4-44-2-2-2-4422222-22-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-220−2i32i30000i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000
χ994-4-44-2-2-2-4422222-22-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-2202i3−2i30000−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000
χ1004-4-44-2-2-2-4422222-22-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-220−2i32i30000i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000
χ1014-4-44-2-2-2-4422222-22-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-2202i3−2i30000−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000
χ10288-8-88-4-400-884-4-444-84-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-4004-4-88-4444-8-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48004-44-48-8-8442-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4004-44-4-44444222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4004-44-4-44444222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4008-8-4444-4-84-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-400-448-844-44-8-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4800-44-44-8-88442-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-400-44-4444-444222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-400-44-4444-444222−1+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).