Finite Group Databasebeta

← Group #13155969

Character table — Group #13155969

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222444444444444444444444488888888888812121212121212121212121212121212121212122424242424242424242424242424242424363636363636363654547272727272108
order1222333446666666663336666666661212121212121212121236661212121212121212228824242424242424242424242424242424266666666666666664488242424244426612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1
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
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1111
χ51111111111111111111111111111111111111111111111111111-1-1111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
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
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11
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
χ11222222-122222-1-122-12-12-1-1-122-1-1-12-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10002200-1-1-1-1-1-1000000000000002-1-1000
χ12222222-122222-1-122-12-12-1-1-122-1-1-12-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-21111111111110002200-1-1-1-1-1-100000000000000-211000
χ13222222-122222-1-122-12-12-1-1-122-1-1-12-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20011111100000000000000-211000
χ14222222-122222-1-122-12-12-1-1-122-1-1-12-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111000-2-200111111000000000000002-1-1000
χ1522222-12222-1-1222-1222-1-122-1-1-1-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000000000222-1-1-1-122-1-1-1-1-1-1-1-10022-1-1-1-100000000
χ1622222-12222-1-1222-1222-1-122-1-1-1-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000000000-2-2-2-1-11122-1-1-1-1111100-2-2111100000000
χ1722222-12222-1-1222-1222-1-122-1-1-1-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000000000000022211-1-1-2-21111-1-1-1-100-2-2111100000000
χ1822222-12222-1-1222-1222-1-122-1-1-1-12-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000000000000-2-2-21111-2-2111111110022-1-1-1-100000000
χ192222-12222-12222-122-1-1-12-1-1-1-122-1-12-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-10022-1-1-1-12222-1-1-1-1-1-1-1-12-1-10022000000-1-1-1-12200000000000-1-10
χ202222-12222-12222-122-1-1-12-1-1-1-122-1-12-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-10022-1-1-1-12222-1-1-1-1-1-1-1-1-21100-2-20000001111-2-200000000000110
χ212222-12222-12222-122-1-1-12-1-1-1-122-1-12-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-100-2-21111-2-2-2-2111111112-1-10022000000-1-1-1-1-2-200000000000110
χ222222-12222-12222-122-1-1-12-1-1-1-122-1-12-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-100-2-21111-2-2-2-211111111-21100-2-200000011112200000000000-1-10
χ2322-2-22222-2-2-2-2-2-2222-2222-2-2-2-2-2-222222222-2-2-2-2-22-2-222-22-222-2-200000000000000000000000000000000000002i−2i000000000002i−2i0
χ2422-2-22222-2-2-2-2-2-2222-2222-2-2-2-2-2-222222222-2-2-2-2-22-2-222-22-222-2-20000000000000000000000000000000000000−2i2i00000000000−2i2i0
χ2522-2-2222-22-2-2-2-2-2222-2222-2-2-2-2-2-2222-2-2-2-2-2222222-2-22-22-22-2-2222-20000000000000000000002-2002-222-2-200000000000000000000
χ2622-2-2222-22-2-2-2-2-2222-2222-2-2-2-2-2-2222-2-2-2-2-2222222-2-22-22-22-2-222-22000000000000000000000-2200-22-2-22200000000000000000000
χ2722-2-222-1-22-2-2-21122-1-2-12-111-2-211-12-1-2-21112-1-1-12-111-1-221-111-1-12-2000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30002-200-11-1-111000000000000000−i3i3000
χ2822-2-222-1-22-2-2-21122-1-2-12-111-2-211-12-1-2-21112-1-1-12-111-1-221-111-1-12-2000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30002-200-11-1-111000000000000000i3−i3000
χ2922-2-222-1-22-2-2-21122-1-2-12-111-2-211-12-1-2-21112-1-1-12-111-1-221-111-1-1-22000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000-22001-111-1-1000000000000000i3−i3000
χ3022-2-222-1-22-2-2-21122-1-2-12-111-2-211-12-1-2-21112-1-1-12-111-1-221-111-1-1-22000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000-22001-111-1-1000000000000000−i3i3000
χ3122-2-22-12-22-211-2-22-12-22-1-1-2-211112-1-1-21-2-2-22222-1-111-11-11-111-1-12-2000000000000000000000-11−i3i32-2-1-111−i3−i3i3i30000−i3−i3i3i300000000
χ3222-2-22-12-22-211-2-22-12-22-1-1-2-211112-1-1-21-2-2-22222-1-111-11-11-111-1-12-2000000000000000000000-11i3−i32-2-1-111i3i3−i3−i30000i3i3−i3−i300000000
χ3322-2-22-12-22-211-2-22-12-22-1-1-2-211112-1-1-21-2-2-22222-1-111-11-11-111-1-1-220000000000000000000001-1−i3i3-2211-1-1−i3−i3i3i30000i3i3−i3−i300000000
χ3422-2-22-12-22-211-2-22-12-22-1-1-2-211112-1-1-21-2-2-22222-1-111-11-11-111-1-1-220000000000000000000001-1i3−i3-2211-1-1i3i3−i3−i30000−i3−i3i3i300000000
χ3522-2-2-1222-21-2-2-2-2-1221-1-121111-2-2-1-12-122-1-11-211-2-111-1-112-2-1-111000033−3−3000033−3−333−3−30−i3i30000000000−i3i3−i3i32i−2i00000000000−ii0
χ3622-2-2-1222-21-2-2-2-2-1221-1-121111-2-2-1-12-122-1-11-211-2-111-1-112-2-1-111000033−3−3000033−3−333−3−30i3−i30000000000i3−i3i3−i3−2i2i00000000000i−i0
χ3722-2-2-1222-21-2-2-2-2-1221-1-121111-2-2-1-12-122-1-11-211-2-111-1-112-2-1-1110000−3−3330000−3−333−3−3330−i3i30000000000−i3i3−i3i3−2i2i00000000000i−i0
χ3822-2-2-1222-21-2-2-2-2-1221-1-121111-2-2-1-12-122-1-11-211-2-111-1-112-2-1-1110000−3−3330000−3−333−3−3330i3−i30000000000i3−i3i3−i32i−2i00000000000−ii0
χ392-2-2222200-22-22-2-2-2-222222-22-22-2-2-2-2000000000022-2-200000000002−22−22−22−22−22−22−22−22−200000000000000000002−22−22−22-2000000
χ402-2-2222200-22-22-2-2-2-222222-22-22-2-2-2-2000000000022-2-200000000002−22−22−22−22−22−22−22−22−20000000000000000000−22−22−22-22000000
χ412-2-2222200-22-22-2-2-2-222222-22-22-2-2-2-2000000000022-2-20000000000−22−22−22−22−22−22−22−22−2200000000000000000002−22−22−2-22000000
χ422-2-2222200-22-22-2-2-2-222222-22-22-2-2-2-2000000000022-2-20000000000−22−22−22−22−22−22−22−22−220000000000000000000−22−22−222-2000000
χ43444444-2-4-4444-2-244-24-24-2-2-244-2-2-24-2-4-4222-4222-4-2-2-2-2-4-422222200000000000000000000000000000000000000000000000000000
χ4444444-24-4-44-2-2444-2444-2-244-2-2-2-24-2-2-42-4-4-4-4-4-4-42-2-2-2-22222222200000000000000000000000000000000000000000000000000000
χ4544444-2-2444-2-2-2-24-2-24-2-21-2-2-2-211-2-214-2-2-2-24-2-2-2-21111-2-211111144000000000000000000000-2-200-2-2111100000000000000000000
χ4644444-2-2444-2-2-2-24-2-24-2-21-2-2-2-211-2-214-2-2-2-24-2-2-2-21111-2-2111111-4-4000000000000000000000220022-1-1-1-100000000000000000000
χ4744444-2-2-4-44-2-2-2-24-2-24-2-21-2-2-2-211-2-21-42222-42222111122-1-1-1-1-1-1000000000000000000000000000003-33-300000000000000000000
χ4844444-2-2-4-44-2-2-2-24-2-24-2-21-2-2-2-211-2-21-42222-42222111122-1-1-1-1-1-100000000000000000000000000000-33-3300000000000000000000
χ494444-244-4-4-24444-244-2-2-24-2-2-2-244-2-242-4-4222-422-4-2-2-2-222-4-4222200000000000000000000000000000000000000000000000000000
χ504444-24-244-244-2-2-24-2-21-2-211-2-2-2-21-2-2-24-211-2-21141111-2-2-2-211110044-2-2-2-2-2-2-2-211111111000000000000000000000000000000000
χ514444-24-244-244-2-2-24-2-21-2-211-2-2-2-21-2-2-24-211-2-21141111-2-2-2-2111100-4-422222222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ524444-24-2-4-4-244-2-2-24-2-21-2-211-2-2-2-21-2-22-42-1-122-1-1-411112222-1-1-1-10000000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000000
χ534444-24-2-4-4-244-2-2-24-2-21-2-211-2-2-2-21-2-22-42-1-122-1-1-411112222-1-1-1-1000000000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000000
χ544444-2-2444-2-2-244-2-24-2-21-2-2-211-2-2-21-2-2-24-2-2-24-2-2-2111111-2-21111000000000000000000004-2-200-2-200000011110000000000000000
χ554444-2-2444-2-2-244-2-24-2-21-2-2-211-2-2-21-2-2-24-2-2-24-2-2-2111111-2-2111100000000000000000000-4220022000000-1-1-1-10000000000000000
χ564444-2-24-4-4-2-2-244-2-24-2-21-2-2-211-2-2-21-222-4222-42221111-1-122-1-1-1-10000000000000000000000000000000003-3-330000000000000000
χ574444-2-24-4-4-2-2-244-2-24-2-21-2-2-211-2-2-21-222-4222-42221111-1-122-1-1-1-1000000000000000000000000000000000-333-30000000000000000
χ5844-4-444-24-4-4-4-42244-2-4-24-222-4-422-24-244-2-2-2-4222-4-222-24-4-22-2-22200000000000000000000000000000000000000000000000000000
χ5944-4-44-244-4-422-4-44-24-44-2-2-4-422224-2-24-2444-4-4-4-42-222-2-22-22-2-22200000000000000000000000000000000000000000000000000000
χ6044-4-44-2-24-4-422224-2-2-4-2-212222-1-1-2-214-2-2-2-2-422221-1-11-221-111-1-1000000000000000000000000000003-3-3300000000000000000000
χ6144-4-44-2-24-4-422224-2-2-4-2-212222-1-1-2-214-2-2-2-2-422221-1-11-221-111-1-100000000000000000000000000000-333-300000000000000000000
χ6244-4-44-2-2-44-422224-2-2-4-2-212222-1-1-2-21-422224-2-2-2-21-1-112-2-11-1-1114-4000000000000000000000-2200-2211-1-100000000000000000000
χ6344-4-44-2-2-44-422224-2-2-4-2-212222-1-1-2-21-422224-2-2-2-21-1-112-2-11-1-111-440000000000000000000002-2002-2-1-11100000000000000000000
χ6444-4-4-244-442-4-4-4-4-2442-2-242222-4-4-2-242-4-422-24-2-24-222-22-2-4422-2-200000000000000000000000000000000000000000000000000000
χ6544-4-4-24-24-42-4-422-24-221-2-2-1-122221-2-2-24-21122-1-1-41-1-11-22-2211-1-100002323−23−230000−3−333−3−333000000000000000000000000000000000
χ6644-4-4-24-24-42-4-422-24-221-2-2-1-122221-2-2-24-21122-1-1-41-1-11-22-2211-1-10000−23−232323000033−3−333−3−3000000000000000000000000000000000
χ6744-4-4-24-2-442-4-422-24-221-2-2-1-122221-2-22-42-1-1-2-21141-1-112-22-2-1-11100000000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000
χ6844-4-4-24-2-442-4-422-24-221-2-2-1-122221-2-22-42-1-1-2-21141-1-112-22-2-1-111000000002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000000
χ6944-4-4-2-244-4222-4-4-2-242-21-222-1-122-21-2-2-24-2-22-42221-1-111-1-2211-1-1000000000000000000000−2i32i30000000000i3−i3i3−i30000000000000000
χ7044-4-4-2-244-4222-4-4-2-242-21-222-1-122-21-2-2-24-2-22-42221-1-111-1-2211-1-10000000000000000000002i3−2i30000000000−i3i3−i3i30000000000000000
χ7144-4-4-2-24-44222-4-4-2-242-21-222-1-122-21-222-422-24-2-2-21-1-11-112-2-1-1110000000000000000000000000−2i32i3000000i3i3−i3−i30000000000000000
χ7244-4-4-2-24-44222-4-4-2-242-21-222-1-122-21-222-422-24-2-2-21-1-11-112-2-1-11100000000000000000000000002i3−2i3000000−i3−i3i3i30000000000000000
χ734-44-4444004-44-44-4-4-4-4444-44-44-44-4-4-400000000004-44-40000000000000000000000000000000000000000000000000000000000000
χ744-44-444-2004-442-2-4-42-4-24-22-2-442-22-420000000000-22-220000000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i6000000000000000000000000000000000
χ754-44-444-2004-442-2-4-42-4-24-22-2-442-22-420000000000-22-220000000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i6000000000000000000000000000000000
χ764-44-44-240042-2-44-42-4-44-2-2-442-22-2-4220000000000-22-220000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ774-44-44-240042-2-44-42-4-44-2-2-442-22-2-4220000000000-22-220000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ784-44-4-24400-2-44-442-4-42-2-242-22-2-4422-40000000000-22-220000000000006−6−6600006−6−666−6−66000000000000000000000000000000000
χ794-44-4-24400-2-44-442-4-42-2-242-22-2-4422-40000000000-22-22000000000000−666−60000−666−6−666−6000000000000000000000000000000000
χ804-44-4-24-200-2-442-22-4221-2-2-112-22-2-1220003i−3i003i−3i01-11-100003i−3i3i−3i00006−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000
χ814-44-4-24-200-2-442-22-4221-2-2-112-22-2-1220003i−3i003i−3i01-11-100003i−3i3i−3i0000−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000
χ824-44-4-24-200-2-442-22-4221-2-2-112-22-2-122000−3i3i00−3i3i01-11-10000−3i3i−3i3i00006−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000
χ834-44-4-24-200-2-442-22-4221-2-2-112-22-2-122000−3i3i00−3i3i01-11-10000−3i3i−3i3i0000−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000
χ844-4-4444-200-44-4-22-4-424-24-2-224-4-222-420000000000-2-222000000000022−2222−2222−22−22−22−22−22−22−22000000000000000000000000000000000
χ854-4-4444-200-44-4-22-4-424-24-2-224-4-222-420000000000-2-2220000000000−2222−2222−22222−22−22−22−22−22−2000000000000000000000000000000000
χ864-4-444-2400-4-224-4-42-444-2-24-4-22-22-4220000000000-2-2220000000000000000000000000000000000000000000000022−22−22−2200000000
χ874-4-444-2400-4-224-4-42-444-2-24-4-22-22-4220000000000-2-22200000000000000000000000000000000000000000000000−22222−22−200000000
χ884-4-44-2440024-44-42-4-4-2-2-24-22-224-422-40000000000-2-222000000000022−22−22−2222−2222−22−22−22−22−22000000000000000000000000000000000
χ894-4-44-2440024-44-42-4-4-2-2-24-22-224-422-40000000000-2-2220000000000−22222−22−2−2222−22222−22−22−22−2000000000000000000000000000000000
χ904-4-44-24-20024-4-222-42-21-2-21-1-22-22-1220003i−3i00−3i3i011-1-100003i−3i−3i3i0022−22−22−22−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000000000000000000
χ914-4-44-24-20024-4-222-42-21-2-21-1-22-22-1220003i−3i00−3i3i011-1-100003i−3i−3i3i00−22222−22−22−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000000000000000000000
χ924-4-44-24-20024-4-222-42-21-2-21-1-22-22-122000−3i3i003i−3i011-1-10000−3i3i3i−3i0022−22−22−22−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000000000000000000000
χ934-4-44-24-20024-4-222-42-21-2-21-1-22-22-122000−3i3i003i−3i011-1-10000−3i3i3i−3i00−22222−22−22−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000000000000000000000
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
χ9688-8-8-4-4-48-844444-4-4-44222-2-2-2-2-2-2222-4-4-42244-2-24-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4-8844444-4-4-44222-2-2-2-2-2-2222444-2-2-4-422-4-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ988-88-88-4-40084-44-4-844-8-4-424-44-4-2244-200000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4800-44-4-8844-84-42-44-4-224-44-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-400-44-44-44444222-22-22-22-2-2-20006i−6i006i−6i0-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-400-44-44-44444222-22-22-22-2-2-2000−6i6i00−6i6i0-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1028-8-888-4-400-8-44-44-8448-4-42-44-442-244-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48004-448-844-8-4-42-4-442-2-444-24000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4004-44-44444-42222-22-22-2-2-2-20006i−6i00−6i6i0-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4004-44-44444-42222-22-22-2-2-2-2000−6i6i006i−6i0-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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