Finite Group Databasebeta

← Group #10713595

Character table — Group #10713595

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order1222444422344666888888881212121244446688881212121212121212121224242424242424242424242424242424161616161616161616161616161616162466881212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1
χ91111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1ii−i−i-1-1ii−i−i1iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i1-1i−i
χ101111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1ii−i−i-1-1ii−i−i1iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii-11−ii
χ111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1ii−i−i-1-1ii−i−i1iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1-111i−i-1-1ii−i−i-11−ii
χ121111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1ii−i−i-1-1ii−i−i1iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-11-1-1−ii11−i−iii1-1i−i
χ131111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1−i−iii-1-1−i−iii1−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii1-1−ii
χ141111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1−i−iii-1-1−i−iii1−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i-11i−i
χ151111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1−i−iii-1-1−i−iii1−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1-111−ii-1-1−i−iii-11i−i
χ161111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1−i−iii-1-1−i−iii1−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-11-1-1i−i11ii−i−i1-1−ii
χ172222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ192222222222-122-1-1-122222222-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-122-1-1-1-1-1-10000
χ202222222222-122-1-1-122222222-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-211-2-21111110000
χ212222222222-122-1-1-122222222-1-1-1-1-2-2-2-2-1-1-2-2-2-2-111111111-111111111-1-1-1-1-1-1-1-1000000000000000022-1-1-2-2-1-111110000
χ222222222222-122-1-1-122222222-1-1-1-1-2-2-2-2-1-1-2-2-2-2-111111111-111111111-1-1-1-1-1-1-1-10000000000000000-2-2112211-1-1-1-10000
χ232222222222-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000−i3i300−i3i3−i3i3−i3i30000
χ242222222222-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000i3−i300i3−i3i3−i3i3−i30000
χ252222222222-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2-2-2-1-12222-111111111-1-1-1-1-1-1-1-1-111111111000000000000000000−i3i300−i3i3i3−i3i3−i30000
χ262222222222-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2-2-2-1-12222-111111111-1-1-1-1-1-1-1-1-111111111000000000000000000i3−i300i3−i3−i3i3−i3i30000
χ2722222222-2-22-2-22220000000022220000-2-22-22-2-200000000-222-2-222-2-20000000022−2−222−2−222−2−222−2−20000000000000000
χ2822222222-2-22-2-22220000000022220000-2-22-22-2-200000000-222-2-222-2-200000000−2−222−2−222−2−222−2−2220000000000000000
χ2922222222-2-22-2-22220000000022220000-2-2-22-22-200000000-2-2-222-2-2220000000022−2−222−2−2−2−222−2−2220000000000000000
χ3022222222-2-22-2-22220000000022220000-2-2-22-22-200000000-2-2-222-2-22200000000−2−222−2−22222−2−222−2−20000000000000000
χ312222-2-2-2-2222-2-222200000000-2-2-2-20000222i−2i−2i2i-200000000-22i2i−2i−2i−2i−2i2i2i0000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ322222-2-2-2-2222-2-222200000000-2-2-2-20000222i−2i−2i2i-200000000-22i2i−2i−2i−2i−2i2i2i00000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ332222-2-2-2-2222-2-222200000000-2-2-2-2000022−2i2i2i−2i-200000000-2−2i−2i2i2i2i2i−2i−2i0000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ342222-2-2-2-2222-2-222200000000-2-2-2-2000022−2i2i2i−2i-200000000-2−2i−2i2i2i2i2i−2i−2i00000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ352222-2-2-2-2-2-2222222-2-222-2-222-2-2-2-22i2i−2i−2i-2-2−2i−2i2i2i22i2i2i2i−2i−2i−2i−2i2−2i−2i−2i−2i2i2i2i2i-2-2-2-2222200000000000000000000000000000000
χ362222-2-2-2-2-2-2222222-2-222-2-222-2-2-2-2−2i−2i2i2i-2-22i2i−2i−2i2−2i−2i−2i−2i2i2i2i2i22i2i2i2i−2i−2i−2i−2i-2-2-2-2222200000000000000000000000000000000
χ372222-2-2-2-2-2-2-122-1-1-122-2-222-2-211112i2i−2i−2i112i2i−2i−2i-1−i−i−i−iiiii-1−i−i−i−iiiii-1-1-1-1111100000000000000002-2-1-12i−2i11−i−iii0000
χ382222-2-2-2-2-2-2-122-1-1-122-2-222-2-211112i2i−2i−2i112i2i−2i−2i-1−i−i−i−iiiii-1−i−i−i−iiiii-1-1-1-111110000000000000000-2211−2i2i-1-1ii−i−i0000
χ392222-2-2-2-2-2-2-122-1-1-122-2-222-2-21111−2i−2i2i2i11−2i−2i2i2i-1iiii−i−i−i−i-1iiii−i−i−i−i-1-1-1-1111100000000000000002-2-1-1−2i2i11ii−i−i0000
χ402222-2-2-2-2-2-2-122-1-1-122-2-222-2-21111−2i−2i2i2i11−2i−2i2i2i-1iiii−i−i−i−i-1iiii−i−i−i−i-1-1-1-111110000000000000000-22112i−2i-1-1−i−iii0000
χ412222-2-2-2-2-2-2-122-1-1-1-2-222-2-22211112i2i−2i−2i11−2i−2i2i2i-1−i−i−i−iiiii-1iiii−i−i−i−i1111-1-1-1-1000000000000000000−i3i300i3−i33−3−330000
χ422222-2-2-2-2-2-2-122-1-1-1-2-222-2-22211112i2i−2i−2i11−2i−2i2i2i-1−i−i−i−iiiii-1iiii−i−i−i−i1111-1-1-1-1000000000000000000i3−i300−i3i3−333−30000
χ432222-2-2-2-2-2-2-122-1-1-1-2-222-2-2221111−2i−2i2i2i112i2i−2i−2i-1iiii−i−i−i−i-1−i−i−i−iiiii1111-1-1-1-1000000000000000000−i3i300i3−i3−333−30000
χ442222-2-2-2-2-2-2-122-1-1-1-2-222-2-2221111−2i−2i2i2i112i2i−2i−2i-1iiii−i−i−i−i-1−i−i−i−iiiii1111-1-1-1-1000000000000000000i3−i300−i3i33−3−330000
χ452-2-2222-2-22-222-2-2-220000000022-2-22i−2i2i−2i2-2000022i2i−2i−2i2i2i−2i−2i-200000000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ462-2-2222-2-22-222-2-2-220000000022-2-22i−2i2i−2i2-2000022i2i−2i−2i2i2i−2i−2i-20000000000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ472-2-2222-2-22-222-2-2-220000000022-2-2−2i2i−2i2i2-200002−2i−2i2i2i−2i−2i2i2i-200000000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ482-2-2222-2-22-222-2-2-220000000022-2-2−2i2i−2i2i2-200002−2i−2i2i2i−2i−2i2i2i-20000000000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ492-2-2222-2-2-222-22-2-222222-2-2-2-222-2-20000-220000-20000000020000000022-2-222-2-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ502-2-2222-2-2-222-22-2-222222-2-2-2-222-2-20000-220000-20000000020000000022-2-222-2-200000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ512-2-2222-2-2-222-22-2-22-2-2-2-2222222-2-20000-220000-200000000200000000-2-222-2-2222-2-222-2-22000000000000000000000000
χ522-2-2222-2-2-222-22-2-22-2-2-2-2222222-2-20000-220000-200000000200000000-2-222-2-222-222-2-222-2000000000000000000000000
χ532-2-22-2-2222-22-22-2-2222-2-2-2-222-2-22200002-20000-20000000020000000022-2-2-2-222000000002-2-22-222-20000000000000000
χ542-2-22-2-2222-22-22-2-2222-2-2-2-222-2-22200002-20000-20000000020000000022-2-2-2-22200000000-222-22-2-220000000000000000
χ552-2-22-2-2222-22-22-2-22-2-22222-2-2-2-22200002-20000-200000000200000000-2-22222-2-22-2-22-222-2000000000000000000000000
χ562-2-22-2-2222-22-22-2-22-2-22222-2-2-2-22200002-20000-200000000200000000-2-22222-2-2-222-22-2-22000000000000000000000000
χ572-2-22-2-222-2222-2-2-2200000000-2-2222-2-22-220000222-2-2-2-222-200000000000000002−22−2−22−22−22−222−22−20000000000000000
χ582-2-22-2-222-2222-2-2-2200000000-2-2222-2-22-220000222-2-2-2-222-20000000000000000−22−222−22−22−22−2−22−220000000000000000
χ592-2-22-2-222-2222-2-2-2200000000-2-222-222-2-2200002-2-22222-2-2-200000000000000002−22−2−22−222−22−2−22−220000000000000000
χ602-2-22-2-222-2222-2-2-2200000000-2-222-222-2-2200002-2-22222-2-2-20000000000000000−22−222−22−2−22−222−22−20000000000000000
χ6144444444-4-4-2-4-4-2-2-200000000-2-2-2-20000224-44-42000000002-2-222-2-2220000000000000000000000000000000000000000
χ6244444444-4-4-2-4-4-2-2-200000000-2-2-2-2000022-44-44200000000222-2-222-2-20000000000000000000000000000000000000000
χ634444-4-4-4-444-2-4-4-2-2-20000000022220000-2-24i−4i−4i4i2000000002−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ644444-4-4-4-444-2-4-4-2-2-20000000022220000-2-2−4i4i4i−4i20000000022i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ6544-4-44i−4i4i−4i004004-4-422−22−2i22i222−22−2i22i24i−4i4i−4i000000000000000000000000000022−2222−22−2i22i2−2i22i200000000000000000000000000000000
χ6644-4-44i−4i4i−4i004004-4-4−22222i2−2i2−22222i2−2i24i−4i4i−4i0000000000000000000000000000−2222−22222i2−2i22i2−2i200000000000000000000000000000000
χ6744-4-44i−4i4i−4i00-200-22222−22−2i22i222−22−2i22i2−2i2i−2i2i00000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ220−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ1300−22−22i2−i2i2−i200000000000000000000000000000000
χ6844-4-44i−4i4i−4i00-200-22222−22−2i22i222−22−2i22i2−2i2i−2i2i00000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2202ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ1300−22−22i2−i2i2−i200000000000000000000000000000000
χ6944-4-44i−4i4i−4i00-200-222−22222i2−2i2−22222i2−2i2−2i2i−2i2i00000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2202ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ13002−22−2−i2i2−i2i200000000000000000000000000000000
χ7044-4-44i−4i4i−4i00-200-222−22222i2−2i2−22222i2−2i2−2i2i−2i2i00000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ220−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ13002−22−2−i2i2−i2i200000000000000000000000000000000
χ7144-4-4−4i4i−4i4i004004-4-422−222i2−2i222−222i2−2i2−4i4i−4i4i000000000000000000000000000022−2222−222i2−2i22i2−2i200000000000000000000000000000000
χ7244-4-4−4i4i−4i4i004004-4-4−2222−2i22i2−2222−2i22i2−4i4i−4i4i0000000000000000000000000000−2222−2222−2i22i2−2i22i200000000000000000000000000000000
χ7344-4-4−4i4i−4i4i00-200-22222−222i2−2i222−222i2−2i22i−2i2i−2i00000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ220−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ2300−22−22−i2i2−i2i200000000000000000000000000000000
χ7444-4-4−4i4i−4i4i00-200-22222−222i2−2i222−222i2−2i22i−2i2i−2i00000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2202ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ2300−22−22−i2i2−i2i200000000000000000000000000000000
χ7544-4-4−4i4i−4i4i00-200-222−2222−2i22i2−2222−2i22i22i−2i2i−2i00000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2202ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ23002−22−2i2−i2i2−i200000000000000000000000000000000
χ7644-4-4−4i4i−4i4i00-200-222−2222−2i22i2−2222−2i22i22i−2i2i−2i00000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ220−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ23002−22−2i2−i2i2−i200000000000000000000000000000000
χ774-44-44i−4i−4i4i00400-44-422−22−2i22i2−22222i2−2i24i−4i−4i4i000000000000000000000000000022−22−2222−2i22i22i2−2i200000000000000000000000000000000
χ784-44-44i−4i−4i4i00400-44-4−22222i2−2i222−22−2i22i24i−4i−4i4i0000000000000000000000000000−222222−222i2−2i2−2i22i200000000000000000000000000000000
χ794-44-44i−4i−4i4i00-2002-2222−22−2i22i2−22222i2−2i2−2i2i2i−2i00000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ220002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ23−222−2i2−i2−i2i200000000000000000000000000000000
χ804-44-44i−4i−4i4i00-2002-2222−22−2i22i2−22222i2−2i2−2i2i2i−2i00000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22000−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ23−222−2i2−i2−i2i200000000000000000000000000000000
χ814-44-44i−4i−4i4i00-2002-22−22222i2−2i222−22−2i22i2−2i2i2i−2i00000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22000−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ232−2−22−i2i2i2−i200000000000000000000000000000000
χ824-44-44i−4i−4i4i00-2002-22−22222i2−2i222−22−2i22i2−2i2i2i−2i00000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ220002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ232−2−22−i2i2i2−i200000000000000000000000000000000
χ834-44-4−4i4i4i−4i00400-44-422−222i2−2i2−2222−2i22i2−4i4i4i−4i000000000000000000000000000022−22−22222i2−2i2−2i22i200000000000000000000000000000000
χ844-44-4−4i4i4i−4i00400-44-4−2222−2i22i222−222i2−2i2−4i4i4i−4i0000000000000000000000000000−222222−22−2i22i22i2−2i200000000000000000000000000000000
χ854-44-4−4i4i4i−4i00-2002-2222−222i2−2i2−2222−2i22i22i−2i−2i2i00000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ220002ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ13−222−2−i2i2i2−i200000000000000000000000000000000
χ864-44-4−4i4i4i−4i00-2002-2222−222i2−2i2−2222−2i22i22i−2i−2i2i00000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22000−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ13−222−2−i2i2i2−i200000000000000000000000000000000
χ874-44-4−4i4i4i−4i00-2002-22−2222−2i22i222−222i2−2i22i−2i−2i2i00000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22000−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ132−2−22i2−i2−i2i200000000000000000000000000000000
χ884-44-4−4i4i4i−4i00-2002-22−2222−2i22i222−222i2−2i22i−2i−2i2i00000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ220002ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ132−2−22i2−i2−i2i200000000000000000000000000000000
χ894-4-4444-4-44-4-24-422-200000000-2-2224i−4i4i−4i-220000-2−2i−2i2i2i−2i−2i2i2i2000000000000000000000000000000000000000000000000
χ904-4-4444-4-44-4-24-422-200000000-2-222−4i4i−4i4i-220000-22i2i−2i−2i2i2i−2i−2i2000000000000000000000000000000000000000000000000
χ914-4-4444-4-4-44-2-4422-24444-4-4-4-4-2-22200002-20000200000000-200000000-2-222-2-22200000000000000000000000000000000
χ924-4-4444-4-4-44-2-4422-2-4-4-4-44444-2-22200002-20000200000000-20000000022-2-222-2-200000000000000000000000000000000
χ934-4-44-4-4444-4-2-4422-244-4-4-4-44422-2-20000-220000200000000-200000000-2-22222-2-200000000000000000000000000000000
χ944-4-44-4-4444-4-2-4422-2-4-44444-4-422-2-20000-220000200000000-20000000022-2-2-2-22200000000000000000000000000000000
χ954-4-44-4-444-44-24-422-20000000022-2-24-4-442-20000-2-2-22222-2-22000000000000000000000000000000000000000000000000
χ964-4-44-4-444-44-24-422-20000000022-2-2-444-42-20000-222-2-2-2-2222000000000000000000000000000000000000000000000000

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