Finite Group Databasebeta

← Group #10693937

Character table — Group #10693937

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122244443444444446661212121224888888881212121212121212888888886888812242424242424242424242424242424248888888888888824242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ91111-1-1-1-11-1-111-1-111111-1-1-1-1-11ii−i−iii−i−i11-1-1-1-1111111-1-1-1-1-111-1-11ii−i−iii−i−i1111-1-1-1-111-1-1iiii−i−i−i−ii−iii−i−i11-1-1i−i
χ101111-1-1-1-11-1-111-1-111111-1-1-1-1-11ii−i−iii−i−i11-1-1-1-1111111-1-1-1-1-1-1-1111ii−i−iii−i−i-1-1-1-1111111-1-1iiii−i−i−i−i−ii−i−iii-1-111−ii
χ111111-1-1-1-11-1-111-1-111111-1-1-1-1-11ii−i−iii−i−i11-1-1-1-111-1-1-1-11111-111-1-11ii−i−iii−i−i1111-1-1-1-1-1-111−i−i−i−iiiiii−iii−i−i-1-111−ii
χ121111-1-1-1-11-1-111-1-111111-1-1-1-1-11ii−i−iii−i−i11-1-1-1-111-1-1-1-11111-1-1-1111ii−i−iii−i−i-1-1-1-11111-1-111−i−i−i−iiiii−ii−i−iii11-1-1i−i
χ131111-1-1-1-11-1-111-1-111111-1-1-1-1-11−i−iii−i−iii11-1-1-1-1111111-1-1-1-1-111-1-11−i−iii−i−iii1111-1-1-1-111-1-1−i−i−i−iiiii−ii−i−iii11-1-1−ii
χ141111-1-1-1-11-1-111-1-111111-1-1-1-1-11−i−iii−i−iii11-1-1-1-1111111-1-1-1-1-1-1-1111−i−iii−i−iii-1-1-1-1111111-1-1−i−i−i−iiiiii−iii−i−i-1-111i−i
χ151111-1-1-1-11-1-111-1-111111-1-1-1-1-11−i−iii−i−iii11-1-1-1-111-1-1-1-11111-111-1-11−i−iii−i−iii1111-1-1-1-1-1-111iiii−i−i−i−i−ii−i−iii-1-111i−i
χ161111-1-1-1-11-1-111-1-111111-1-1-1-1-11−i−iii−i−iii11-1-1-1-111-1-1-1-11111-1-1-1111−i−iii−i−iii-1-1-1-11111-1-111iiii−i−i−i−ii−iii−i−i11-1-1−ii
χ1722222222222-2-2-2-2222222222-2-22222-2-2-2-2-2-222-2-22200000000-20000-2-2-2-2-2222200000000000000000000000000000000
χ1822222222222-2-2-2-2222222222-2-2-2-2-2-22222-2-222-2-22200000000-20000-22222-2-2-2-200000000000000000000000000000000
χ19222222222-2-22222-2-22222222-2-20000000022-2-222-2-222222222-20000-20000000000000000-2-2-2-200000000000000000000
χ20222222222-2-22222-2-22222222-2-20000000022-2-222-2-2-2-2-2-2-2-2-2-2-20000-20000000000000000222200000000000000000000
χ21222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-200000000200002000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ22222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-20000000020000200000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2322222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2422222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-2-2-2-2-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2522222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-12222-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2622222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-1-2-2-2-2-1111111111111111100000000000022-1-1-1-1000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-211-1-111-1-1000000001000011111-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i3000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-211-1-111-1-1000000001000011111-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i3000000
χ2922222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2222211-1-111-1-100000000100001-1-1-1-11111−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i3000000
χ3022222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2222211-1-111-1-100000000100001-1-1-1-11111i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i3000000
χ312222-2-2-2-222222-2-2-2-2222-2-2-2-22-2000000002222-2-2-2-22222-2-2-2-220000-20000000000000000-2-22200000000000000000000
χ322222-2-2-2-222222-2-2-2-2222-2-2-2-22-2000000002222-2-2-2-2-2-2-2-2222220000-2000000000000000022-2-200000000000000000000
χ332222-2-2-2-2222-2-222-2-2222-2-2-2-2-2200000000-2-22222-2-200000000-2000020000000000000000000022-2-2-2-222000000000000
χ342222-2-2-2-2222-2-222-2-2222-2-2-2-2-2200000000-2-22222-2-200000000-20000200000000000000000000-2-22222-2-2000000000000
χ352222-2-2-2-22-2-2-2-22222222-2-2-2-22-22i2i−2i−2i−2i−2i2i2i-2-2-2-222220000000020000-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ362222-2-2-2-22-2-2-2-22222222-2-2-2-22-2−2i−2i2i2i2i2i−2i−2i-2-2-2-222220000000020000-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ372222-2-2-2-2-1-2-222-2-222-1-1-11111-222i2i−2i−2i2i2i−2i−2i-1-11111-1-100000000122-2-2-1−i−iii−i−iii-1-1-1-111110000000000002i−2i−i−iii000000
χ382222-2-2-2-2-1-2-222-2-222-1-1-11111-222i2i−2i−2i2i2i−2i−2i-1-11111-1-1000000001-2-222-1−i−iii−i−iii1111-1-1-1-1000000000000−2i2iii−i−i000000
χ392222-2-2-2-2-1-2-222-2-222-1-1-11111-22−2i−2i2i2i−2i−2i2i2i-1-11111-1-100000000122-2-2-1ii−i−iii−i−i-1-1-1-11111000000000000−2i2iii−i−i000000
χ402222-2-2-2-2-1-2-222-2-222-1-1-11111-22−2i−2i2i2i−2i−2i2i2i-1-11111-1-1000000001-2-222-1ii−i−iii−i−i1111-1-1-1-10000000000002i−2i−i−iii000000
χ412222-2-2-2-2-1-2-2-2-22222-1-1-111112-22i2i−2i−2i−2i−2i2i2i1111-1-1-1-100000000-100001ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3000000000000003−3−33000000
χ422222-2-2-2-2-1-2-2-2-22222-1-1-111112-22i2i−2i−2i−2i−2i2i2i1111-1-1-1-100000000-100001ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i300000000000000−333−3000000
χ432222-2-2-2-2-1-2-2-2-22222-1-1-111112-2−2i−2i2i2i2i2i−2i−2i1111-1-1-1-100000000-100001−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i300000000000000−333−3000000
χ442222-2-2-2-2-1-2-2-2-22222-1-1-111112-2−2i−2i2i2i2i2i−2i−2i1111-1-1-1-100000000-100001−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3000000000000003−3−33000000
χ4522-2-22i−2i2i−2i2002-22i−2i002-2-22i−2i2i−2i00000000002-2002i−2i0022-2-22i2i−2i−2i02−2−i2i20000000002−22−2−i2i2−i2i20000000000000000002−2−i2i200
χ4622-2-22i−2i2i−2i2002-22i−2i002-2-22i−2i2i−2i00000000002-2002i−2i0022-2-22i2i−2i−2i0−22i2−i2000000000−22−22i2−i2i2−i2000000000000000000−22i2−i200
χ4722-2-22i−2i2i−2i2002-22i−2i002-2-22i−2i2i−2i00000000002-2002i−2i00-2-222−2i−2i2i2i02−2−i2i20000000002−22−2−i2i2−i2i2000000000000000000−22i2−i200
χ4822-2-22i−2i2i−2i2002-22i−2i002-2-22i−2i2i−2i00000000002-2002i−2i00-2-222−2i−2i2i2i0−22i2−i2000000000−22−22i2−i2i2−i20000000000000000002−2−i2i200
χ4922-2-2−2i2i−2i2i2002-2−2i2i002-2-2−2i2i−2i2i00000000002-200−2i2i0022-2-2−2i−2i2i2i02−2i2−i20000000002−22−2i2−i2i2−i20000000000000000002−2i2−i200
χ5022-2-2−2i2i−2i2i2002-2−2i2i002-2-2−2i2i−2i2i00000000002-200−2i2i0022-2-2−2i−2i2i2i0−22−i2i2000000000−22−22−i2i2−i2i2000000000000000000−22−i2i200
χ5122-2-2−2i2i−2i2i2002-2−2i2i002-2-2−2i2i−2i2i00000000002-200−2i2i00-2-2222i2i−2i−2i02−2i2−i20000000002−22−2i2−i2i2−i2000000000000000000−22−i2i200
χ5222-2-2−2i2i−2i2i2002-2−2i2i002-2-2−2i2i−2i2i00000000002-200−2i2i00-2-2222i2i−2i−2i0−22−i2i2000000000−22−22−i2i2−i2i20000000000000000002−2i2−i200
χ532-22-22i−2i−2i2i22i−2i00002-2-22-2−2i2i2i−2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002i−2i002-2−i2i2−i2i22−22−2000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−i2i22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ542-22-22i−2i−2i2i22i−2i00002-2-22-2−2i2i2i−2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002i−2i002-2i2−i2i2−i2−22−22000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000i2−i2−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ552-22-22i−2i−2i2i22i−2i00002-2-22-2−2i2i2i−2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002i−2i002-2−i2i2−i2i22−22−20000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−i2i22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ562-22-22i−2i−2i2i22i−2i00002-2-22-2−2i2i2i−2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002i−2i002-2i2−i2i2−i2−22−220000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000i2−i2−221+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ572-22-22i−2i−2i2i2−2i2i0000-22-22-2−2i2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−2i2i00-22−i2i2−i2i22−22−200000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000i2−i2−221−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000
χ582-22-22i−2i−2i2i2−2i2i0000-22-22-2−2i2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−2i2i00-22i2−i2i2−i2−22−2200000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−i2i22−2−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000
χ592-22-22i−2i−2i2i2−2i2i0000-22-22-2−2i2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2i2i00-22−i2i2−i2i22−22−20000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000i2−i2−22−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000
χ602-22-22i−2i−2i2i2−2i2i0000-22-22-2−2i2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2i2i00-22i2−i2i2−i2−22−220000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−i2i22−21−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000
χ612-22-2−2i2i2i−2i22i−2i0000-22-22-22i−2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000002i−2i00-22−i2i2−i2i2−22−220000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000i2−i22−2−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000
χ622-22-2−2i2i2i−2i22i−2i0000-22-22-22i−2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000002i−2i00-22i2−i2i2−i22−22−20000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−i2i2−221+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000
χ632-22-2−2i2i2i−2i22i−2i0000-22-22-22i−2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000002i−2i00-22−i2i2−i2i2−22−2200000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000i2−i22−21+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000
χ642-22-2−2i2i2i−2i22i−2i0000-22-22-22i−2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000002i−2i00-22i2−i2i2−i22−22−200000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−i2i2−22−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000
χ652-22-2−2i2i2i−2i2−2i2i00002-2-22-22i−2i−2i2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2i2i002-2−i2i2−i2i2−22−220000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−i2i2−22−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ662-22-2−2i2i2i−2i2−2i2i00002-2-22-22i−2i−2i2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2i2i002-2i2−i2i2−i22−22−20000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000i2−i22−21−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ672-22-2−2i2i2i−2i2−2i2i00002-2-22-22i−2i−2i2i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2i2i002-2−i2i2−i2i2−22−22000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−i2i2−221−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ682-22-2−2i2i2i−2i2−2i2i00002-2-22-22i−2i−2i2i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2i2i002-2i2−i2i2−i22−22−2000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000i2−i22−2−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-400000000-2-222-2-222000000002000020000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244000000002222222200000000-20000-20000000000000000000000000000000000000000
χ714444-4-4-4-4-24444-4-4-4-4-2-2-222224-400000000-2-2-2-2222200000000-2000020000000000000000000000000000000000000000
χ724444-4-4-4-4-244-4-444-4-4-2-2-22222-440000000022-2-2-2-2220000000020000-20000000000000000000000000000000000000000
χ7344-4-44i−4i4i−4i400-44−4i4i004-4-44i−4i4i−4i0000000000-4400−4i4i00000000000000000000000000000000000000000000000000000000
χ7444-4-44i−4i4i−4i-2004-44i−4i00-222−2i2i−2i2i0000000000-2200−2i2i0000000000022−22−2i22i2000000000−22−22i2−i2i2−i2000000000000000000000000
χ7544-4-44i−4i4i−4i-2004-44i−4i00-222−2i2i−2i2i0000000000-2200−2i2i00000000000−22222i2−2i20000000002−22−2−i2i2−i2i2000000000000000000000000
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χ7944-4-4−4i4i−4i4i-2004-4−4i4i00-2222i−2i2i−2i0000000000-22002i−2i0000000000022−222i2−2i2000000000−22−22−i2i2−i2i2000000000000000000000000
χ8044-4-4−4i4i−4i4i-2004-4−4i4i00-2222i−2i2i−2i0000000000-22002i−2i00000000000−2222−2i22i20000000002−22−2i2−i2i2−i2000000000000000000000000
χ8144-4-4−4i4i−4i4i-200-444i−4i00-2222i−2i2i−2i00000000002-200−2i2i000000000000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ8244-4-4−4i4i−4i4i-200-444i−4i00-2222i−2i2i−2i00000000002-200−2i2i000000000000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ834-44-44i−4i−4i4i-24i−4i00004-42-222i−2i−2i2i000000−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ2300−2i2i00-22000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000000000
χ844-44-44i−4i−4i4i-24i−4i00004-42-222i−2i−2i2i0000004ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ2300−2i2i00-2200000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000000000
χ854-44-44i−4i−4i4i-2−4i4i0000-442-222i−2i−2i2i004ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ130000002i−2i002-2000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000
χ864-44-44i−4i−4i4i-2−4i4i0000-442-222i−2i−2i2i00−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130000002i−2i002-20000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000
χ874-44-4−4i4i4i−4i-24i−4i0000-442-22−2i2i2i−2i00−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23000000−2i2i002-20000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000
χ884-44-4−4i4i4i−4i-24i−4i0000-442-22−2i2i2i−2i004ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23000000−2i2i002-2000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000
χ894-44-4−4i4i4i−4i-2−4i4i00004-42-22−2i2i2i−2i0000004ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13002i−2i00-2200000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000000000000000
χ904-44-4−4i4i4i−4i-2−4i4i00004-42-22−2i2i2i−2i000000−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13002i−2i00-22000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000000000000000
χ914-4-4444-4-4400000000-4-44-4-444000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ924-4-4444-4-4400000000-4-44-4-4440000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ934-4-44-4-444400000000-4-4444-4-4000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ944-4-44-4-444400000000-4-4444-4-40000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ958-8-8888-8-8-40000000044-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-8-888-40000000044-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000

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