Finite Group Databasebeta

← Group #10691682

Character table — Group #10691682

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222444444444444444444488888888888888888888888888888888881212121224242424242448484848
order12222234444446661212121244466888812121212121212121212888888888824242424242424242424242424242424242424242424242488882444884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111
χ81111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1
χ91111111-1-1-1-1-1-1111-1-1-1-11-1111ii−i−i11-1-1-1-111-1-1ii−i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i1-11-1i−i1-1i−i
χ101111111-1-1-1-1-1-1111-1-1-1-11-1111ii−i−i11-1-1-1-111-1-1ii−i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-11-11−ii-11−ii
χ111111111-1-1-1-1-1-1111-1-1-1-11-1111ii−i−i11-1-1-1-111-1-1−i−iiii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i1-11-1i−i-11−ii
χ121111111-1-1-1-1-1-1111-1-1-1-11-1111ii−i−i11-1-1-1-111-1-1−i−iiii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii-11-11−ii1-1i−i
χ131111111-1-1-1-1-1-1111-1-1-1-11-1111−i−iii11-1-1-1-111-1-1ii−i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i-11-11i−i1-1−ii
χ141111111-1-1-1-1-1-1111-1-1-1-11-1111−i−iii11-1-1-1-111-1-1ii−i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii1-11-1−ii-11i−i
χ151111111-1-1-1-1-1-1111-1-1-1-11-1111−i−iii11-1-1-1-111-1-1−i−iii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-11-11i−i-11i−i
χ161111111-1-1-1-1-1-1111-1-1-1-11-1111−i−iii11-1-1-1-111-1-1−i−iii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii1-11-1−ii1-1−ii
χ17222222222-2-2-2-22222222-22-2222i2i−2i−2i-2-222-2-2-2-2-2-20000−2i2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ18222222222-2-2-2-22222222-22-222−2i−2i2i2i-2-222-2-2-2-2-2-200002i−2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ192222222-2-22222222-2-2-2-2-2-2-2222222-2-2-2-222-2-2220000-2-200000000000022-2-2-2-2220000000000000000000000
χ202222222-2-22222222-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-222000022000000000000-2-22222-2-20000000000000000000000
χ21222222-1222222-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000000000
χ23222222-1222222-1-1-1-1-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000
χ24222222-1222222-1-1-1-1-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000000000
χ25222222-122-2-2-2-2-1-1-1-1-1-1-1-22-2-1-12i2i−2i−2i11-1-11111110000−2i2i0000−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii33−3−333−3−300000000000000
χ26222222-122-2-2-2-2-1-1-1-1-1-1-1-22-2-1-12i2i−2i−2i11-1-11111110000−2i2i0000i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii−3−333−3−33300000000000000
χ27222222-122-2-2-2-2-1-1-1-1-1-1-1-22-2-1-1−2i−2i2i2i11-1-111111100002i−2i0000−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i−3−333−3−33300000000000000
χ28222222-122-2-2-2-2-1-1-1-1-1-1-1-22-2-1-1−2i−2i2i2i11-1-111111100002i−2i0000i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i33−3−333−3−300000000000000
χ29222222-1-2-22222-1-1-11111-2-2-2-1-122221111-1-111-1-10000-2-2000033−3−3−3−333-1-11111-1-1−3−33333−3−300000000000000
χ30222222-1-2-22222-1-1-11111-2-2-2-1-122221111-1-111-1-10000-2-20000−3−33333−3−3-1-11111-1-133−3−3−3−33300000000000000
χ31222222-1-2-22222-1-1-11111-2-2-2-1-1-2-2-2-21111-1-111-1-1000022000033−3−3−3−33311-1-1-1-11133−3−3−3−33300000000000000
χ32222222-1-2-22222-1-1-11111-2-2-2-1-1-2-2-2-21111-1-111-1-10000220000−3−33333−3−311-1-1-1-111−3−33333−3−300000000000000
χ33222222-1-2-2-2-2-2-2-1-1-111112-22-1-12i2i−2i−2i-1-11111-1-1112i2i−2i−2i2i−2i22-2-2−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111100000000000000
χ34222222-1-2-2-2-2-2-2-1-1-111112-22-1-12i2i−2i−2i-1-11111-1-111−2i−2i2i2i2i−2i-2-222iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-100000000000000
χ35222222-1-2-2-2-2-2-2-1-1-111112-22-1-1−2i−2i2i2i-1-11111-1-1112i2i−2i−2i−2i2i-2-222−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-100000000000000
χ36222222-1-2-2-2-2-2-2-1-1-111112-22-1-1−2i−2i2i2i-1-11111-1-111−2i−2i2i2i−2i2i22-2-2iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111100000000000000
χ372222-2-222222-2-22222222-2-22-2-20000-2-2-2-22222-2-20000000000000000000000000000000000000022-2-2000000
χ382222-2-222222-2-22222222-2-22-2-20000-2-2-2-22222-2-200000000000000000000000000000000000000-2-222000000
χ392222-2-2222-2-22222222222-2-2-2-2000022-2-2-2-2-2-222000000000000000000000000000000000022220000-2-20000
χ402222-2-2222-2-22222222222-2-2-2-2000022-2-2-2-2-2-2220000000000000000000000000000000000-2-2-2-20000220000
χ412222-2-22-2-222-2-2222-2-2-2-222-2-2-20000222222-2-2-2-200000000000000000000000000000000002i2i−2i−2i0000−2i2i0000
χ422222-2-22-2-222-2-2222-2-2-2-222-2-2-20000222222-2-2-2-20000000000000000000000000000000000−2i−2i2i2i00002i−2i0000
χ432222-2-22-2-2-2-222222-2-2-2-2-222-2-20000-2-222-2-22222000000000000000000000000000000000000002-2-22000000
χ442222-2-22-2-2-2-222222-2-2-2-2-222-2-20000-2-222-2-2222200000000000000000000000000000000000000-222-2000000
χ452-22-22-22002i−2i2i−2i2-2-200000002-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002i−2i002i−2i1+i−1−i1−i−1+i002−2−i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ132−22−2−i2i2−i2i200000000000000
χ462-22-22-22002i−2i2i−2i2-2-200000002-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002i−2i002i−2i−1−i1+i−1+i1−i00−22i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−22−22i2−i2i2−i200000000000000
χ472-22-22-22002i−2i2i−2i2-2-200000002-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002i−2i002i−2i1+i−1−i1−i−1+i00−22i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ13−22−22i2−i2i2−i200000000000000
χ482-22-22-22002i−2i2i−2i2-2-200000002-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002i−2i002i−2i−1−i1+i−1+i1−i002−2−i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132−22−2−i2i2−i2i200000000000000
χ492-22-22-2200−2i2i−2i2i2-2-200000002-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2i2i00−2i2i1−i−1+i1+i−1−i002−2i2−i21−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ232−22−2i2−i2i2−i200000000000000
χ502-22-22-2200−2i2i−2i2i2-2-200000002-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2i2i00−2i2i−1+i1−i−1−i1+i00−22−i2i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ23−22−22−i2i2−i2i200000000000000
χ512-22-22-2200−2i2i−2i2i2-2-200000002-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2i2i00−2i2i1−i−1+i1+i−1−i00−22−i2i21−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ23−22−22−i2i2−i2i200000000000000
χ522-22-22-2200−2i2i−2i2i2-2-200000002-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2i2i00−2i2i−1+i1−i−1−i1+i002−2i2−i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ232−22−2i2−i2i2−i200000000000000
χ532-22-22-2-1002i−2i2i−2i-111−i3−i3i3i3000-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−i3i3−ii3−3−ii1+i−1−i1−i−1+i002−2−i2i2−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ542-22-22-2-1002i−2i2i−2i-111−i3−i3i3i3000-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−i3i3−ii3−3−ii−1−i1+i−1+i1−i00−22i2−i2ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ552-22-22-2-1002i−2i2i−2i-111−i3−i3i3i3000-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−i3i3−ii3−3−ii1+i−1−i1−i−1+i00−22i2−i2−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ562-22-22-2-1002i−2i2i−2i-111−i3−i3i3i3000-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−i3i3−ii3−3−ii−1−i1+i−1+i1−i002−2−i2i2ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ572-22-22-2-1002i−2i2i−2i-111i3i3−i3−i3000-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33i3−i3−ii−33−ii1+i−1−i1−i−1+i002−2−i2i2−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ582-22-22-2-1002i−2i2i−2i-111i3i3−i3−i3000-112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33i3−i3−ii−33−ii−1−i1+i−1+i1−i00−22i2−i2ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ592-22-22-2-1002i−2i2i−2i-111i3i3−i3−i3000-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33i3−i3−ii−33−ii1+i−1−i1−i−1+i00−22i2−i2−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ602-22-22-2-1002i−2i2i−2i-111i3i3−i3−i3000-11−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33i3−i3−ii−33−ii−1−i1+i−1+i1−i002−2−i2i2ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ612-22-22-2-100−2i2i−2i2i-111−i3−i3i3i3000-11−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33−i3i3i−i−33i−i1−i−1+i1+i−1−i002−2i2−i2−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ622-22-22-2-100−2i2i−2i2i-111−i3−i3i3i3000-11−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33−i3i3i−i−33i−i−1+i1−i−1−i1+i00−22−i2i2ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ632-22-22-2-100−2i2i−2i2i-111−i3−i3i3i3000-112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33−i3i3i−i−33i−i1−i−1+i1+i−1−i00−22−i2i2−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ642-22-22-2-100−2i2i−2i2i-111−i3−i3i3i3000-112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33−i3i3i−i−33i−i−1+i1−i−1−i1+i002−2i2−i2ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ652-22-22-2-100−2i2i−2i2i-111i3i3−i3−i3000-11−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i3−i3i−i3−3i−i1−i−1+i1+i−1−i002−2i2−i2−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ662-22-22-2-100−2i2i−2i2i-111i3i3−i3−i3000-11−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i3−i3i−i3−3i−i−1+i1−i−1−i1+i00−22−i2i2ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ672-22-22-2-100−2i2i−2i2i-111i3i3−i3−i3000-112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i3−i3i−i3−3i−i1−i−1+i1+i−1−i00−22−i2i2−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ682-22-22-2-100−2i2i−2i2i-111i3i3−i3−i3000-112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i3−i3i−i3−3i−i−1+i1−i−1−i1+i002−2i2−i2ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ694444-4-4-24444-4-4-2-2-2-2-2-2-2-4-442200002222-2-2-2-222000000000000000000000000000000000000000000000000
χ704444-4-4-244-4-444-2-2-2-2-2-2-24-4-4220000-2-2222222-2-2000000000000000000000000000000000000000000000000
χ714444-4-4-2-4-444-4-4-2-2-2222244-4220000-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ724444-4-4-2-4-4-4-444-2-2-22222-44422000022-2-222-2-2-2-2000000000000000000000000000000000000000000000000
χ734-44-4-444004i−4i−4i4i4-4-40000000-44000000004i−4i00−4i4i000000000000000000000000000000000000000000000000
χ744-44-4-44400−4i4i4i−4i4-4-40000000-4400000000−4i4i004i−4i000000000000000000000000000000000000000000000000
χ754-44-4-44-2004i−4i−4i4i-222−2i3−2i32i32i30002-20000−23232i3−2i3−2i2i23−232i−2i000000000000000000000000000000000000000000000000
χ764-44-4-44-2004i−4i−4i4i-2222i32i3−2i3−2i30002-2000023−23−2i32i3−2i2i−23232i−2i000000000000000000000000000000000000000000000000
χ774-44-4-44-200−4i4i4i−4i-222−2i3−2i32i32i30002-2000023−232i3−2i32i−2i−2323−2i2i000000000000000000000000000000000000000000000000
χ784-44-4-44-200−4i4i4i−4i-2222i32i3−2i3−2i30002-20000−2323−2i32i32i−2i23−23−2i2i000000000000000000000000000000000000000000000000
χ794-4-440044i−4i0000-44-44i−4i4i−4i000000000000000000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000
χ804-4-440044i−4i0000-44-44i−4i4i−4i00000000000000000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000
χ814-4-44004−4i4i0000-44-4−4i4i−4i4i000000000000000000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000
χ824-4-44004−4i4i0000-44-4−4i4i−4i4i00000000000000000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000
χ8388-8-8008000000-8-8800000000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-400000044-443−43−43430000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-400000044-4−434343−430000000000000000000000000000000000000000000000000000000000000000000
χ868-8-8800-48i−8i00004-44−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ878-8-8800-4−8i8i00004-444i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000

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