Finite Group Databasebeta

← Group #13156439

Character table — Group #13156439

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222444444444444444444444488888888888812121212121212121212121212121212121212122424242424242424242424242424242424363636363636363654547272727272108
order12223334466666666633366666666612121212121212121212366612121212121212124488242424242424242424242424242424242666666661212121212121212448824242424444121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-111-1-11
χ51111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000002200000-2
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000-2-2000002
χ11222222-12222-122-12-122-1-12-1-1-1-12-1-1222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000022000000000-1-1000
χ12222222-12222-122-12-122-1-12-1-1-1-12-1-1222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-100222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100000000-2-200000000011000
χ13222222-12222-122-12-122-1-12-1-1-1-12-1-1222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2111111111111222-1-1-1-1-1-100000000-2-200000000011000
χ14222222-12222-122-12-122-1-12-1-1-1-12-1-1222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2111111111111-2-2-21111110000000022000000000-1-1000
χ1522222-12222-122-12-122-12-1-122-1-1-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000000000002-1-122-1-1-1-1-1-122-1-1-1-10022-1-1-1-100000000
χ1622222-12222-122-12-122-12-1-122-1-1-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000000000-211-2-21111-1-122-1-1-1-100-2-2111100000000
χ1722222-12222-122-12-122-12-1-122-1-1-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000000002-1-122-1-1-1-111-2-2111100-2-2111100000000
χ1822222-12222-122-12-122-12-1-122-1-1-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000000000000-211-2-2111111-2-211110022-1-1-1-100000000
χ192222-12222-122-12222-1-1-12-1-1-122-1-12-1-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100000000022-1-1-1-1-1-10000000000200-1-10
χ202222-12222-122-12222-1-1-12-1-1-122-1-12-1-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-2-2-21111111100000000022-1-1-1-1-1-10000000000-200110
χ212222-12222-122-12222-1-1-12-1-1-122-1-12-1-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-21111110000000000-200110
χ222222-12222-122-12222-1-1-12-1-1-122-1-12-1-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-211111111000000000-2-21111110000000000200-1-10
χ2322-2-22220022-2-2-2-2-22-222222-22-2-2-2-2-2000000000022-2-200000000002−222−2−222−2−22222−2−2−2−20000000000000000000−i2i2−i2−i2i2i22i−2i000000
χ2422-2-22220022-2-2-2-2-22-222222-22-2-2-2-2-2000000000022-2-200000000002−222−2−222−2−22222−2−2−2−20000000000000000000i2−i2i2i2−i2−i2−2i2i000000
χ2522-2-22220022-2-2-2-2-22-222222-22-2-2-2-2-2000000000022-2-20000000000−22−2−222−2−222−2−2−2−222220000000000000000000−i2i2−i2−i2i2i2−2i2i000000
χ2622-2-22220022-2-2-2-2-22-222222-22-2-2-2-2-2000000000022-2-20000000000−22−2−222−2−222−2−2−2−222220000000000000000000i2−i2i2i2−i2−i22i−2i000000
χ272-2-222222-2-2-2-2222-2-2-2222-2-2-2-2-2222-2-22-2-2-22222-22-2-222-22-222-2-22i−2i0000000000000000000000000002i−2i2i−2i2i2i−2i−2i0000000000000000
χ282-2-222222-2-2-2-2222-2-2-2222-2-2-2-2-2222-2-22-2-2-22222-22-2-222-22-222-2-2−2i2i000000000000000000000000000−2i2i−2i2i−2i−2i2i2i0000000000000000
χ292-2-22222-22-2-2-2222-2-2-2222-2-2-2-2-2222-22-2222-2-2-2-222-2-22-22-22-2-22200000000000000000000000000000000000002i−2i0000000002i−2i000
χ302-2-22222-22-2-2-2222-2-2-2222-2-2-2-2-2222-22-2222-2-2-2-222-2-22-22-22-2-2220000000000000000000000000000000000000−2i2i000000000−2i2i000
χ312-2-2222-1-22-2-2122-1-21-22-1-1-211112-1-1-22-2-1-1-1-21112-111-1-221-111-1-1000000003−33−333−3−333−3−3000−i3i3−i3−i3i3i3000000002i−2i000000000−ii000
χ322-2-2222-1-22-2-2122-1-21-22-1-1-211112-1-1-22-2-1-1-1-21112-111-1-221-111-1-1000000003−33−333−3−333−3−3000i3−i3i3i3−i3−i300000000−2i2i000000000i−i000
χ332-2-2222-1-22-2-2122-1-21-22-1-1-211112-1-1-22-2-1-1-1-21112-111-1-221-111-1-100000000−33−33−3−333−3−333000−i3i3−i3−i3i3i300000000−2i2i000000000i−i000
χ342-2-2222-1-22-2-2122-1-21-22-1-1-211112-1-1-22-2-1-1-1-21112-111-1-221-111-1-100000000−33−33−3−333−3−333000i3−i3i3i3−i3−i3000000002i−2i000000000−ii000
χ352-2-222-122-2-21-22-121-2-2-12-11-2-211-12-11-2-1-2-2-222221-111-1-11-11-1-1112i−2i0000000000000000000−i3i300−i3i3−i3i3−ii2i−2i−i−iii00003−33−300000000
χ362-2-222-122-2-21-22-121-2-2-12-11-2-211-12-11-2-1-2-2-222221-111-1-11-11-1-1112i−2i0000000000000000000i3−i300i3−i3i3−i3−ii2i−2i−i−iii0000−33−3300000000
χ372-2-222-122-2-21-22-121-2-2-12-11-2-211-12-11-2-1-2-2-222221-111-1-11-11-1-111−2i2i0000000000000000000−i3i300−i3i3−i3i3i−i−2i2iii−i−i0000−33−3300000000
χ382-2-222-122-2-21-22-121-2-2-12-11-2-211-12-11-2-1-2-2-222221-111-1-11-11-1-111−2i2i0000000000000000000i3−i300i3−i3i3−i3i−i−2i2iii−i−i00003−33−300000000
χ392-2-22-1222-21-2-2-122-2-21-1-12111-2-2-1-12112-211-12-1-1-2-111-1-112-2-1-1112i−2i00−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i30000000002i−2i−ii−i−iii00000000000003−30
χ402-2-22-1222-21-2-2-122-2-21-1-12111-2-2-1-12112-211-12-1-1-2-111-1-112-2-1-1112i−2i00i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000000002i−2i−ii−i−iii0000000000000−330
χ412-2-22-1222-21-2-2-122-2-21-1-12111-2-2-1-12112-211-12-1-1-2-111-1-112-2-1-111−2i2i00−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000000−2i2ii−iii−i−i0000000000000−330
χ422-2-22-1222-21-2-2-122-2-21-1-12111-2-2-1-12112-211-12-1-1-2-111-1-112-2-1-111−2i2i00i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3000000000−2i2ii−iii−i−i00000000000003−30
χ43444444-2-4-444-244-24-244-2-24-2-2-2-24-2-24-4-4222-4222-4-2-2-2-2-4-422222200000000000000000000000000000000000000000000000000000
χ4444444-24-4-44-244-24-244-24-2-244-2-2-24-2-2-42-4-4-4-4-4-4-42-2-2-2-22222222200000000000000000000000000000000000000000000000000000
χ4544444-2-2444-2-24-2-2-2-24-2-21-2-2-211-2-21-24-2-2-2-24-2-2-2-21111-2-2111111000000000000000000004-2-2-2-21111000000000000000000000000
χ4644444-2-2444-2-24-2-2-2-24-2-21-2-2-211-2-21-24-2-2-2-24-2-2-2-21111-2-211111100000000000000000000-42222-1-1-1-1000000000000000000000000
χ4744444-2-2-4-44-2-24-2-2-2-24-2-21-2-2-211-2-21-2-42222-42222111122-1-1-1-1-1-100000000000000000000000003-3-33000000000000000000000000
χ4844444-2-2-4-44-2-24-2-2-2-24-2-21-2-2-211-2-21-2-42222-42222111122-1-1-1-1-1-10000000000000000000000000-333-3000000000000000000000000
χ494444-244-4-4-244-24444-2-2-24-2-2-244-2-24-22-4-4222-422-4-2-2-2-222-4-4222200000000000000000000000000000000000000000000000000000
χ504444-24-244-24-2-24-24-2-2-21-2-211-2-2-21-2-2-24-211-2-21141111-2-2-2-211110044-2-2-2-2-2-2-2-211111111000000000000000000000000000000000
χ514444-24-244-24-2-24-24-2-2-21-2-211-2-2-21-2-2-24-211-2-21141111-2-2-2-2111100-4-422222222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ524444-24-2-4-4-24-2-24-24-2-2-21-2-211-2-2-21-2-22-42-1-122-1-1-411112222-1-1-1-10000000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000
χ534444-24-2-4-4-24-2-24-24-2-2-21-2-211-2-2-21-2-22-42-1-122-1-1-411112222-1-1-1-1000000000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000
χ544444-2-2444-2-24-2-24-24-21-2-21-2-2-2-21-2-21-2-24-2-2-24-2-2-2111111-2-2111144000000000000000000000000000-2-2-2-211110000000000000000
χ554444-2-2444-2-24-2-24-24-21-2-21-2-2-2-21-2-21-2-24-2-2-24-2-2-2111111-2-21111-4-40000000000000000000000000002222-1-1-1-10000000000000000
χ564444-2-24-4-4-2-24-2-24-24-21-2-21-2-2-2-21-2-2122-4222-42221111-1-122-1-1-1-10000000000000000000000000000000003-33-30000000000000000
χ574444-2-24-4-4-2-24-2-24-24-21-2-21-2-2-2-21-2-2122-4222-42221111-1-122-1-1-1-1000000000000000000000000000000000-33-330000000000000000
χ5844-4-444-200442-4-42-4-2-44-2-24-22-22-422-40000000000-2-222000000000022−222222−22−22−2−222−2−2−2−22222000000000000000000000000000000000
χ5944-4-444-200442-4-42-4-2-44-2-24-22-22-422-40000000000-2-2220000000000−2222−22−22222222−2−22222−2−2−2−2000000000000000000000000000000000
χ6044-4-44-24004-2-4-42-424-4-24-2-24-4-222-4220000000000-2-22200000000000000000000000000000000000000000000000−2i22i2i2i2−i2−i200000000
χ6144-4-44-24004-2-4-42-424-4-24-2-24-4-222-4220000000000-2-222000000000000000000000000000000000000000000000002i2−2i2−i2−i2i2i200000000
χ6244-4-4-24400-24-42-4-4-442-2-24-2-224-422-420000000000-2-222000000000022−22−2−2222222−22−22−2−2−2−22222000000000000000000000000000000000
χ6344-4-4-24400-24-42-4-4-442-2-24-2-224-422-420000000000-2-2220000000000−222222−2−2−22−2222222222−2−2−2−2000000000000000000000000000000000
χ6444-4-4-24-200-2422-42-4-22-21-2-21-1-222-1220003i−3i003i−3i011-1-100003i−3i3i−3i0022−22−2−222−2−222−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000000000000000000
χ6544-4-4-24-200-2422-42-4-22-21-2-21-1-222-1220003i−3i003i−3i011-1-100003i−3i3i−3i00−222222−2−222−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000000000000000000000
χ6644-4-4-24-200-2422-42-4-22-21-2-21-1-222-122000−3i3i00−3i3i011-1-10000−3i3i−3i3i0022−22−2−222−2−222ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000000000000000000000
χ6744-4-4-24-200-2422-42-4-22-21-2-21-1-222-122000−3i3i00−3i3i011-1-10000−3i3i−3i3i00−222222−2−222−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000000000000000000000
χ684-44-444400-4-44-4-4-44-44444-4-44-44-4-4-4400000000004-44-40000000000000000000000000000000000000000000000000000000000000
χ694-44-444-200-4-4-2-4-424244-2-2-42-22-2-42240000000000-22-2200000000000000006−6−6666−6−6−6−666000000000000000000000000000000000
χ704-44-444-200-4-4-2-4-424244-2-2-42-22-2-42240000000000-22-220000000000000000−666−6−6−66666−6−6000000000000000000000000000000000
χ714-44-44-2400-424-42-4-2-44-24-22-442-22-42-20000000000-22-220000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ724-44-44-2400-424-42-4-2-44-24-22-442-22-42-20000000000-22-220000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ734-44-4-244002-442-4-44-4-2-2-2422-2-4422-4-20000000000-22-22000000000000i6−i6−i6i60000i6−i6i6−i6−i6i6−i6i6000000000000000000000000000000000
χ744-44-4-244002-442-4-44-4-2-2-2422-2-4422-4-20000000000-22-22000000000000−i6i6i6−i60000−i6i6−i6i6i6−i6i6−i6000000000000000000000000000000000
χ754-44-4-24-2002-4-22-4242-2-21-22-112-22-12-20003i−3i00−3i3i01-11-10000−3i3i3i−3i0000i6−i6−i6i66−6−66−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13000000000000000000000000000000000
χ764-44-4-24-2002-4-22-4242-2-21-22-112-22-12-20003i−3i00−3i3i01-11-10000−3i3i3i−3i0000−i6i6i6−i6−666−6ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13000000000000000000000000000000000
χ774-44-4-24-2002-4-22-4242-2-21-22-112-22-12-2000−3i3i003i−3i01-11-100003i−3i−3i3i0000i6−i6−i6i6−666−6−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23000000000000000000000000000000000
χ784-44-4-24-2002-4-22-4242-2-21-22-112-22-12-2000−3i3i003i−3i01-11-100003i−3i−3i3i0000−i6i6i6−i66−6−66ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23000000000000000000000000000000000
χ794-4-4444-24-4-4-4244-2-42-44-2-2-422224-2-2-4-442224-2-2-2-4-222-24-4-22-2-22200000000000000000000000000000000000000000000000000000
χ804-4-444-24-44-42-44-242-4-4-24-22-4-422-24-2242444-4-4-4-4-2-222-22-22-222-2-200000000000000000000000000000000000000000000000000000
χ814-4-444-2-24-4-4224-2-222-4-2-21222-1-1-2-212-4-22224-2-2-221-1-11-221-111-1-1000000000000000000000−2i32i300i3−i3i3−i3000000000000000000000000
χ824-4-444-2-24-4-4224-2-222-4-2-21222-1-1-2-212-4-22224-2-2-221-1-11-221-111-1-10000000000000000000002i3−2i300−i3i3−i3i3000000000000000000000000
χ834-4-444-2-2-44-4224-2-222-4-2-21222-1-1-2-21242-2-2-2-4222-21-1-112-2-11-1-11100000000000000000000000−2i32i3i3i3−i3−i3000000000000000000000000
χ844-4-444-2-2-44-4224-2-222-4-2-21222-1-1-2-21242-2-2-2-4222-21-1-112-2-11-1-111000000000000000000000002i3−2i3−i3−i3i3i3000000000000000000000000
χ854-4-44-244-442-4-4-244-4-42-2-24222-4-4-2-242-2-44-2-22-4224-222-22-2-4422-2-200000000000000000000000000000000000000000000000000000
χ864-4-44-24-24-42-42-24-2-422-21-22-1-122-21-22242-1-1-2-211-41-1-11-22-2211-1-10000−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000
χ874-4-44-24-24-42-42-24-2-422-21-22-1-122-21-22242-1-1-2-211-41-1-11-22-2211-1-100002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000
χ884-4-44-24-2-442-42-24-2-422-21-22-1-122-21-22-2-4-21122-1-141-1-112-22-2-1-1110000000023−2323−23−3−333−3−333000000000000000000000000000000000
χ894-4-44-24-2-442-42-24-2-422-21-22-1-122-21-22-2-4-21122-1-141-1-112-22-2-1-11100000000−2323−232333−3−333−3−3000000000000000000000000000000000
χ904-4-44-2-244-422-4-2-242-421-2-2-122221-2-2-12-2-422-24-2-221-1-111-1-2211-1-14i−4i000000000000000000000000000−2i2i−2i2iii−i−i0000000000000000
χ914-4-44-2-244-422-4-2-242-421-2-2-122221-2-2-12-2-422-24-2-221-1-111-1-2211-1-1−4i4i0000000000000000000000000002i−2i2i−2i−i−iii0000000000000000
χ924-4-44-2-24-4422-4-2-242-421-2-2-122221-2-2-1-224-2-22-422-21-1-11-112-2-1-1110000000000000000000000000000000003i−3i−3i3i0000000000000000
χ934-4-44-2-24-4422-4-2-242-421-2-2-122221-2-2-1-224-2-22-422-21-1-11-112-2-1-111000000000000000000000000000000000−3i3i3i−3i0000000000000000
χ948888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-422-4-422-4-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ958888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444-2-244-2-24-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ9688-8-88-4-4008-44-8444-4-8-4-42-4-442-244-24000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4800-4-4-844-84842-4-42-44-44-244-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-400-4-444444-4422222-22-2-2-2-2-20006i−6i006i−6i0-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-400-4-444444-4422222-22-2-2-2-2-2000−6i6i00−6i6i0-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1008-88-88-4-400-84-4-844-448-4-4244-4-2244-2-400000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-480044844-8-4-8-42-4-4-24-44-4-244200000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-40044-4444-44-4222-2-22-22-2-2-220006i−6i00−6i6i0-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-40044-4444-44-4222-2-22-22-2-2-22000−6i6i006i−6i0-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-48-8444-4-4-4444222-2-2-2-2-2222-24-44-2-2-4-4224-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-88444-4-4-4444222-2-2-2-2-2222-2-44-42244-2-2-4-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.