Finite Group Databasebeta

← Group #13155701

Character table — Group #13155701

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444448888888888881212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636365454545472727272
order1222333446666666663336666666661212121212121212121236661212121212121212444488242424242424242424242424242424241212121212121212121212121212121244448824242424444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1
χ51111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ911-1-11111-1-1-1-11-1-11-11111-1-1-1-1-111-11-11-1-1-11111-11-1-111-11-111-1-11-1i−i1-111111111-1-1-1-1-1-1-1-1ii−i−i1-11-1ii−i−i11-1-11-1i−ii−iii−i−ii−ii−ii−i1-1
χ1011-1-11111-1-1-1-11-1-11-11111-1-1-1-1-111-11-11-1-1-11111-11-1-111-11-111-1-11-1i−i-11-1-1-1-1-1-1-1-111111111ii−i−i1-11-1ii−i−i11-1-1-11−iii−iii−i−i−ii−ii−ii-11
χ1111-1-11111-1-1-1-11-1-11-11111-1-1-1-1-111-11-11-1-1-11111-11-1-111-11-111-1-11-1−ii1-111111111-1-1-1-1-1-1-1-1−i−iii1-11-1−i−iii11-1-11-1−ii−ii−i−iii−ii−ii−ii1-1
χ1211-1-11111-1-1-1-11-1-11-11111-1-1-1-1-111-11-11-1-1-11111-11-1-111-11-111-1-11-1−ii-11-1-1-1-1-1-1-1-111111111−i−iii1-11-1−i−iii11-1-1-11i−i−ii−i−iiii−ii−ii−i-11
χ1311-1-11111-1-1-1-11-1-11-11111-1-1-1-1-111-11-11-1-1-11111-11-1-111-11-111-1-1-11i−i1-111111111-1-1-1-1-1-1-1-1ii−i−i-11-11ii−i−i-1-111-11i−i−ii−i−iii−ii−iii−i-11
χ1411-1-11111-1-1-1-11-1-11-11111-1-1-1-1-111-11-11-1-1-11111-11-1-111-11-111-1-1-11i−i-11-1-1-1-1-1-1-1-111111111ii−i−i-11-11ii−i−i-1-1111-1−ii−ii−i−iiii−ii−i−ii1-1
χ1511-1-11111-1-1-1-11-1-11-11111-1-1-1-1-111-11-11-1-1-11111-11-1-111-11-111-1-1-11−ii1-111111111-1-1-1-1-1-1-1-1−i−iii-11-11−i−iii-1-111-11−iii−iii−i−ii−ii−i−ii-11
χ1611-1-11111-1-1-1-11-1-11-11111-1-1-1-1-111-11-11-1-1-11111-11-1-111-11-111-1-1-11−ii-11-1-1-1-1-1-1-1-111111111−i−iii-11-11−i−iii-1-1111-1i−ii−iii−i−i−ii−iii−i1-1
χ172222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-20000
χ182222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2220000
χ19222222-122222-12-12-122-1-122-1-1-1-1-1-12-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-100222222-1-1-1-1-1-122-1-1-1-1-1-12-12-10000-1-1-1-1000000220000000000-1-100
χ20222222-122222-12-12-122-1-122-1-1-1-1-1-12-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-10022-2-2-2-2111111-2-21111112-12-10000-1-1-1-1000000-2-200000000001100
χ21222222-122222-12-12-122-1-122-1-1-1-1-1-12-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-100-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-21-2100001111000000-2-200000000001100
χ22222222-122222-12-12-122-1-122-1-1-1-1-1-12-122-1-1-12-1-12-1-1-1-1-1-122-1-1-1-100-2-2-2-2-2-2111111-2-2111111-21-2100001111000000220000000000-1-100
χ2322222-122222-12-12-122-12-1-1-122-12-1-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000-12-12-1-122-1-1-1-1-1-1-1-1000022-1-1-1-100000000
χ2422222-122222-12-12-122-12-1-1-122-12-1-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-122-2-20000000000000000001-21-2-1-1221111-1-1-1-10000-2-2111100000000
χ2522222-122222-12-12-122-12-1-1-122-12-1-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222000000000000000000-12-1211-2-2-1-1-1-111110000-2-2111100000000
χ2622222-122222-12-12-122-12-1-1-122-12-1-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000001-21-211-2-211111111000022-1-1-1-100000000
χ272222-12222-1-1222222-1-1-12-1-1-1-12-122-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1220022-1-122-1-1-1-1-1-122-1-1-1-1000022-1-10000-1-1-1-12200000000000000-1-1
χ282222-12222-1-1222222-1-1-12-1-1-1-12-122-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12200-2-211-2-2111111-2-21111000022-1-10000-1-1-1-1-2-20000000000000011
χ292222-12222-1-1222222-1-1-12-1-1-1-12-122-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-2-20022-1-122-1-1-1-1-1-122-1-1-1-10000-2-21100001111-2-20000000000000011
χ302222-12222-1-1222222-1-1-12-1-1-1-12-122-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-2-200-2-211-2-2111111-2-211110000-2-211000011112200000000000000-1-1
χ3122-2-2222-22-2-2-22-2-22-22222-2-2-2-2-222-222-2222-2-2-2-222-2-22-22-22-2-2220000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ3222-2-2222-22-2-2-22-2-22-22222-2-2-2-2-222-222-2222-2-2-2-222-2-22-22-22-2-222000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ3322-2-222-12-2-2-2-2-1-212122-1-1-2-2111-1-11212-211-12-1-1-2-111-1-112-2-1-111002i−2i2-222-1-1-1-1-1-1-2-21111112i−i−2ii0000−i−iii0000002i−2i0000000000−ii00
χ3422-2-222-12-2-2-2-2-1-212122-1-1-2-2111-1-11212-211-12-1-1-2-111-1-112-2-1-111002i−2i-22-2-211111122-1-1-1-1-1-12i−i−2ii0000−i−iii000000−2i2i0000000000i−i00
χ3522-2-222-12-2-2-2-2-1-212122-1-1-2-2111-1-11212-211-12-1-1-2-111-1-112-2-1-11100−2i2i2-222-1-1-1-1-1-1-2-2111111−2ii2i−i0000ii−i−i000000−2i2i0000000000i−i00
χ3622-2-222-12-2-2-2-2-1-212122-1-1-2-2111-1-11212-211-12-1-1-2-111-1-112-2-1-11100−2i2i-22-2-211111122-1-1-1-1-1-1−2ii2i−i0000ii−i−i0000002i−2i0000000000−ii00
χ3722-2-22-122-2-2-2121-2-1-22-12-111-2-212-11-1-2-1-2-2-222221-111-1-11-11-1-1112-22i−2i000000000000000000−i2ii−2i-112-2−i−iii-1-11100002i−2i−i−iii00000000
χ3822-2-22-122-2-2-2121-2-1-22-12-111-2-212-11-1-2-1-2-2-222221-111-1-11-11-1-1112-2−2i2i000000000000000000i−2i−i2i-112-2ii−i−i-1-1110000−2i2iii−i−i00000000
χ3922-2-22-122-2-2-2121-2-1-22-12-111-2-212-11-1-2-1-2-2-222221-111-1-11-11-1-111-222i−2i000000000000000000−i2ii−2i1-1-22−i−iii11-1-10000−2i2iii−i−i00000000
χ4022-2-22-122-2-2-2121-2-1-22-12-111-2-212-11-1-2-1-2-2-222221-111-1-11-11-1-111-22−2i2i000000000000000000i−2i−i2i1-1-22ii−i−i11-1-100002i−2i−i−iii00000000
χ4122-2-2-1222-211-22-2-22-2-1-1-121111-2-12-2-1-221112-1-1-1-2-111-12-2-11-1-1112-2002-2-1-122-1-1-1-111-2-2111100002-2-110000-1-1112-200000000000000-11
χ4222-2-2-1222-211-22-2-22-2-1-1-121111-2-12-2-1-221112-1-1-1-2-111-12-2-11-1-1112-200-2211-2-21111-1-122-1-1-1-100002-2-110000-1-111-22000000000000001-1
χ4322-2-2-1222-211-22-2-22-2-1-1-121111-2-12-2-1-221112-1-1-1-2-111-12-2-11-1-111-22002-2-1-122-1-1-1-111-2-211110000-221-1000011-1-1-22000000000000001-1
χ4422-2-2-1222-211-22-2-22-2-1-1-121111-2-12-2-1-221112-1-1-1-2-111-12-2-11-1-111-2200-2211-2-21111-1-122-1-1-1-10000-221-1000011-1-12-200000000000000-11
χ45444444-2-4-4444-24-24-244-2-244-2-2-2-2-2-242-4-4222-422-4-2-2-2-222-4-4222200000000000000000000000000000000000000000000000000000000
χ4644444-24-4-444-24-24-244-24-2-2-244-24-2-2-2-42-4-4-4-4-4-4-42-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ4744444-2-24444-2-2-2-2-2-24-2-21-2-2-2-21-211-2-2-24-2-2-24-2-2-2111111-2-211110044000000000000000000-2-2-2-2000011110000000000000000000000
χ4844444-2-24444-2-2-2-2-2-24-2-21-2-2-2-21-211-2-2-24-2-2-24-2-2-2111111-2-2111100-4-400000000000000000022220000-1-1-1-10000000000000000000000
χ4944444-2-2-4-444-2-2-2-2-2-24-2-21-2-2-2-21-211-222-4222-42221111-1-122-1-1-1-10000000000000000000000000000003-33-30000000000000000000000
χ5044444-2-2-4-444-2-2-2-2-2-24-2-21-2-2-2-21-211-222-4222-42221111-1-122-1-1-1-1000000000000000000000000000000-33-330000000000000000000000
χ514444-244-4-4-2-2444444-2-2-24-2-2-2-24-244-2-4-4222-4222-4-2-2-2-2-4-422222200000000000000000000000000000000000000000000000000000000
χ524444-24-244-2-24-24-24-2-2-21-2-2-211-21-2-2-2-24-211-2-21141111-2-2-2-21111000044-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ534444-24-244-2-24-24-24-2-2-21-2-2-211-21-2-2-2-24-211-2-21141111-2-2-2-211110000-4-42222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ544444-24-2-4-4-2-24-24-24-2-2-21-2-2-211-21-2-2-22-42-1-122-1-1-411112222-1-1-1-100000000003i3i−3i−3i00003i3i−3i−3i0000000000000000000000000000000000
χ554444-24-2-4-4-2-24-24-24-2-2-21-2-2-211-21-2-2-22-42-1-122-1-1-411112222-1-1-1-10000000000−3i−3i3i3i0000−3i−3i3i3i0000000000000000000000000000000000
χ564444-2-2444-2-2-24-24-24-21-2-211-2-2-2-2-2-214-2-2-2-24-2-2-2-21111-2-211111144000000000000000000000000-2-2-2-200001111000000000000000000
χ574444-2-2444-2-2-24-24-24-21-2-211-2-2-2-2-2-214-2-2-2-24-2-2-2-21111-2-2111111-4-400000000000000000000000022220000-1-1-1-1000000000000000000
χ584444-2-24-4-4-2-2-24-24-24-21-2-211-2-2-2-2-2-21-42222-42222111122-1-1-1-1-1-100000000000000000000000000000000003-33-3000000000000000000
χ594444-2-24-4-4-2-2-24-24-24-21-2-211-2-2-2-2-2-21-42222-42222111122-1-1-1-1-1-10000000000000000000000000000000000-33-33000000000000000000
χ6044-4-444-2-44-4-4-4-2-424244-2-2-4-4222-2-224-2-44-2-22-4224-222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000
χ6144-4-44-24-44-4-4242-4-2-44-24-222-4-424-22-242444-4-4-4-4-2-222-22-22-222-2-200000000000000000000000000000000000000000000000000000000
χ6244-4-44-2-24-4-4-42-222-224-2-212222-1-21-1-22-2-422-24-2-221-1-111-1-2211-1-1004i−4i000000000000000000−2i−2i2i2i0000ii−i−i0000000000000000000000
χ6344-4-44-2-24-4-4-42-222-224-2-212222-1-21-1-22-2-422-24-2-221-1-111-1-2211-1-100−4i4i0000000000000000002i2i−2i−2i0000−i−iii0000000000000000000000
χ6444-4-44-2-2-44-4-42-222-224-2-212222-1-21-1-2-224-2-22-422-21-1-11-112-2-1-1110000000000000000000000000000003i−3i−3i3i0000000000000000000000
χ6544-4-44-2-2-44-4-42-222-224-2-212222-1-21-1-2-224-2-22-422-21-1-11-112-2-1-111000000000000000000000000000000−3i3i3i−3i0000000000000000000000
χ6644-4-4-244-4422-44-4-44-4-2-2-242222-4-24-4-24-4-2-2-2-42224-222-2-442-222-2-200000000000000000000000000000000000000000000000000000000
χ6744-4-4-24-24-422-4-2-4242-2-21-222-1-121-22-2242-1-1-2-211-41-1-11-22-2211-1-100004-4-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ6844-4-4-24-24-422-4-2-4242-2-21-222-1-121-22-2242-1-1-2-211-41-1-11-22-2211-1-10000-442222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ6944-4-4-24-2-4422-4-2-4242-2-21-222-1-121-22-2-2-4-21122-1-141-1-112-22-2-1-11100000000003i3i−3i−3i0000−3i−3i3i3i0000000000000000000000000000000000
χ7044-4-4-24-2-4422-4-2-4242-2-21-222-1-121-22-2-2-4-21122-1-141-1-112-22-2-1-1110000000000−3i−3i3i3i00003i3i−3i−3i0000000000000000000000000000000000
χ7144-4-4-2-244-422242-4-2-4-21-2-2-1-1222-2-221-4-22224-2-2-221-1-11-221-111-1-14-4000000000000000000000000-22-22000011-1-1000000000000000000
χ7244-4-4-2-244-422242-4-2-4-21-2-2-1-1222-2-221-4-22224-2-2-221-1-11-221-111-1-1-440000000000000000000000002-22-20000-1-111000000000000000000
χ7344-4-4-2-24-4422242-4-2-4-21-2-2-1-1222-2-22142-2-2-2-4222-21-1-112-2-11-1-11100000000000000000000000000000000003-3-33000000000000000000
χ7444-4-4-2-24-4422242-4-2-4-21-2-2-1-1222-2-22142-2-2-2-4222-21-1-112-2-11-1-1110000000000000000000000000000000000-333-3000000000000000000
χ754-44-4444004-4-4-444-4-4-44444-44-4-4-4-44-4000000000044-4-40000000000000000000000000000000000000000000000000000000000000000
χ764-44-444-2004-4-424-2-42-44-2-24-4-22222-2-40000000000-2-22200000000000000006−66−66−6006−66−66−60000000000000000000000000000000000
χ774-44-444-2004-4-424-2-42-44-2-24-4-22222-2-40000000000-2-2220000000000000000−66−66−6600−66−66−660000000000000000000000000000000000
χ784-44-44-24004-42-4-242-4-4-24-2-224-42-42-220000000000-2-22200000000000000000000000000000000000000000000000000006−66−600000000
χ794-44-44-24004-42-4-242-4-4-24-2-224-42-42-220000000000-2-2220000000000000000000000000000000000000000000000000000−66−6600000000
χ804-44-4-24400-22-4-444-4-42-2-24-22-22-42-4420000000000-2-22200000000000000i6−i600i6−i6−i6i6i6−i600i6−i6−i6i60000000000000000000000000000000000
χ814-44-4-24400-22-4-444-4-42-2-24-22-22-42-4420000000000-2-22200000000000000−i6i600−i6i6i6−i6−i6i600−i6i6i6−i60000000000000000000000000000000000
χ824-44-4-24-200-22-424-2-422-21-2-221-12-12-220003i−3i003i−3i011-1-100003i−3i3i−3i000000i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000000000000000
χ834-44-4-24-200-22-424-2-422-21-2-221-12-12-220003i−3i003i−3i011-1-100003i−3i3i−3i000000−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000000000000000000000000000
χ844-44-4-24-200-22-424-2-422-21-2-221-12-12-22000−3i3i00−3i3i011-1-10000−3i3i−3i3i000000i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000000000000000000000000000
χ854-44-4-24-200-22-424-2-422-21-2-221-12-12-22000−3i3i00−3i3i011-1-10000−3i3i−3i3i000000−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000000000000000000000000000
χ864-4-4444400-444-4-4-4-44-4444-44-444-4-4-4-400000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ874-4-4444-200-4442-42-4-2-44-2-2-442-2-2222-40000000000-22-2200000000000000006−66−66−600−66−66−660000000000000000000000000000000000
χ884-4-4444-200-4442-42-4-2-44-2-2-442-2-2222-40000000000-22-220000000000000000−66−66−66006−66−66−60000000000000000000000000000000000
χ894-4-444-2400-44-2-42-424-4-24-22-2-44-2-42220000000000-22-220000000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ904-4-444-2400-44-2-42-424-4-24-22-2-44-2-42220000000000-22-220000000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ914-4-44-244002-24-4-4-4-442-2-242-22-242-4-420000000000-22-2200000000000000i6−i600i6−i6−i6i6−i6i600−i6i6i6−i60000000000000000000000000000000000
χ924-4-44-244002-24-4-4-4-442-2-242-22-242-4-420000000000-22-2200000000000000−i6i600−i6i6i6−i6i6−i600i6−i6−i6i60000000000000000000000000000000000
χ934-4-44-24-2002-242-42-4-22-21-22-2-11-2-12220003i−3i00−3i3i01-11-10000−3i3i3i−3i000000i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000000000000000000000000000
χ944-4-44-24-2002-242-42-4-22-21-22-2-11-2-12220003i−3i00−3i3i01-11-10000−3i3i3i−3i000000−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000000000000000000000000000
χ954-4-44-24-2002-242-42-4-22-21-22-2-11-2-1222000−3i3i003i−3i01-11-100003i−3i−3i3i000000i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000000000000000000000000000
χ964-4-44-24-2002-242-42-4-22-21-22-2-11-2-1222000−3i3i003i−3i01-11-100003i−3i−3i3i000000−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000000000000000
χ978888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-422-4-422-4-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444-2-244-2-24-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-48-8444-444-44-4222-2-2-2-2-222-224-44-2-2-4-4224-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-88444-444-44-4222-2-2-2-2-222-22-44-42244-2-2-4-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-4008-844-4-444-8-4-42-44-44-24-224000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4800-444-8-484-842-4-42-2-44444-4-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400-4444-4-44442222-22-2-2-2-22-20006i−6i006i−6i0-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-400-4444-4-44442222-22-2-2-2-22-2000−6i6i00−6i6i0-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-400-88-44444-4-8-4-424-44-424-2-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48004-4-4-84-84842-4-4-224-4-4444-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4004-4-44444-44222-22-222-2-2-2-20006i−6i00−6i6i0-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4004-4-44444-44222-22-222-2-2-2-2000−6i6i006i−6i0-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000

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