Finite Group Databasebeta

← Group #10690064

Character table — Group #10690064

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444444444444444444444448888121212121212121216161616161616161616242424242424242424242424
order12224444223444444666121212124466888888881212121212121212121224242424242424242424242424242424888844448888441212121224242424248888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ91111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1ii−i−i1-111-1-1ii−i−i1-1i−iii−i−i11-1-1
χ101111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i-1-111−i−iii1-111-1-1ii−i−i-11−ii−i−iii-1-111
χ111111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii11-1-1−i−iii-11-1-111−i−iii1-1−iiii−i−i-1-111
χ121111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111ii−i−i-11-1-111−i−iii-11i−i−i−iii11-1-1
χ131111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i11-1-1ii−i−i-11-1-111ii−i−i1-1i−i−i−iii-1-111
χ141111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111−i−iii-11-1-111ii−i−i-11−iiii−i−i11-1-1
χ151111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−iii1-111-1-1−i−iii1-1−ii−i−iii11-1-1
χ161111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii-1-111ii−i−i1-111-1-1−i−iii-11i−iii−i−i-1-111
χ17222222222222-2-2-2-222222222-2-2220000000022-2-2-2-2-2-2-2-200000000000000000000222200000000000000-2-20000000000
χ18222222222222-2-2-2-222222222-2-2220000000022-2-2-2-2-2-2-2-200000000000000000000-2-2-2-200000000000000220000000000
χ192222222222-1222222-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1000000000000
χ202222222222-1222222-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211111111000000000000
χ212222222222-1222222-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111222200000000-2-21111-1-1-1-1000000000000
χ222222222222-1222222-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-20000000022-1-1-1-11111000000000000
χ2322222222-2-22-22222-22222222-2-2-2-200000000-2-222-2-222-2-20000000000000000000000002222000000000000-2-200000000
χ2422222222-2-22-22222-22222222-2-2-2-200000000-2-222-2-222-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ2522222222-2-22-2-2-2-2-2-2222222222-2-200000000-2-2-2-222-2-22200000000000000002-22-2000000000000002-22-2000000000000
χ2622222222-2-22-2-2-2-2-2-2222222222-2-200000000-2-2-2-222-2-2220000000000000000-22-2200000000000000-22-22000000000000
χ2722222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-12211000000001111-1-111-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-22-20000000000−i3i3−i3i3-11-11000000000000
χ2822222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-12211000000001111-1-111-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-22-220000000000i3−i3i3−i31-11-1000000000000
χ2922222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-12211000000001111-1-111-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-20000000000i3−i3i3−i3-11-11000000000000
χ3022222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-12211000000001111-1-111-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-220000000000−i3i3−i3i31-11-1000000000000
χ312222-2-2-2-2222-222-2-2-2222-2-2-2-2-222200000000-2-222-2-2-2-2220000000000000000000000002i2i−2i−2i000000000000−2i2i00000000
χ322222-2-2-2-2222-222-2-2-2222-2-2-2-2-222200000000-2-222-2-2-2-222000000000000000000000000−2i−2i2i2i0000000000002i−2i00000000
χ332222-2-2-2-2222-2-2-222-2222-2-2-2-22-22200000000-2-2-2-22222-2-200000000000000002i−2i−2i2i000000000000002i−2i−2i2i000000000000
χ342222-2-2-2-2222-2-2-222-2222-2-2-2-22-22200000000-2-2-2-22222-2-20000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i000000000000
χ352222-2-2-2-222-1-2-2-222-2-1-1-111112-2-1-1000000001111-1-1-1-1113333−3−3−3−3−3−3−3−333332i−2i−2i2i0000000000−i3i3i3−i3−iii−i000000000000
χ362222-2-2-2-222-1-2-2-222-2-1-1-111112-2-1-1000000001111-1-1-1-1113333−3−3−3−3−3−3−3−33333−2i2i2i−2i0000000000i3−i3−i3i3i−i−ii000000000000
χ372222-2-2-2-222-1-2-2-222-2-1-1-111112-2-1-1000000001111-1-1-1-111−3−3−3−333333333−3−3−3−32i−2i−2i2i0000000000i3−i3−i3i3−iii−i000000000000
χ382222-2-2-2-222-1-2-2-222-2-1-1-111112-2-1-1000000001111-1-1-1-111−3−3−3−333333333−3−3−3−3−2i2i2i−2i0000000000−i3i3i3−i3i−i−ii000000000000
χ392222-2-2-2-2-2-222-2-2222222-2-2-2-2-22-2-20000000022-2-2-2-222220000000000000000000022-2-200000000000000-220000000000
χ402222-2-2-2-2-2-222-2-2222222-2-2-2-2-22-2-20000000022-2-2-2-2222200000000000000000000-2-222000000000000002-20000000000
χ412222-2-2-2-2-2-2-1222-2-22-1-1-111112-2112i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2i2i−2i−2i000000002-2-1-111−i−iii000000000000
χ422222-2-2-2-2-2-2-1222-2-22-1-1-111112-2112i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−2i−2i2i2i00000000-2211-1-1ii−i−i000000000000
χ432222-2-2-2-2-2-2-1222-2-22-1-1-111112-211−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2i2i−2i−2i00000000-2211-1-1−i−iii000000000000
χ442222-2-2-2-2-2-2-1222-2-22-1-1-111112-211−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−2i−2i2i2i000000002-2-1-111ii−i−i000000000000
χ4522-2-222-2-22-22-2000022-2-2-2-222002-2−i2−i2i2i2−i2−i2i2i22-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i0000000000000000002−22−20000
χ4622-2-222-2-22-22-2000022-2-2-2-222002-2−i2−i2i2i2−i2−i2i2i22-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i000000000000000000−22−220000
χ4722-2-222-2-22-22-2000022-2-2-2-222002-2i2i2−i2−i2i2i2−i2−i22-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i000000000000000000−22−220000
χ4822-2-222-2-22-22-2000022-2-2-2-222002-2i2i2−i2−i2i2i2−i2−i22-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i0000000000000000002−22−20000
χ4922-2-2-2-222-222-2000022-2-222-2-200-2222−2−2−2−2222-20000000022−2−222−2−2−2−222−2−22200002i−2i−2i2i000000000000000000i2−i2−i2i20000
χ5022-2-2-2-222-222-2000022-2-222-2-200-2222−2−2−2−2222-20000000022−2−222−2−2−2−222−2−2220000−2i2i2i−2i000000000000000000−i2i2i2−i20000
χ5122-2-2-2-222-222-2000022-2-222-2-200-22−2−22222−2−22-200000000−2−222−2−22222−2−222−2−200002i−2i−2i2i000000000000000000−i2i2i2−i20000
χ5222-2-2-2-222-222-2000022-2-222-2-200-22−2−22222−2−22-200000000−2−222−2−22222−2−222−2−20000−2i2i2i−2i000000000000000000i2−i2−i2i20000
χ532-22-22i−2i2i−2i00202-22i−2i0-22-22i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i002-2002i−2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000002−2−i2i2
χ542-22-22i−2i2i−2i00202-22i−2i0-22-22i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i002-2002i−2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000−22i2−i2
χ552-22-22i−2i2i−2i00202-22i−2i0-22-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002-2002i−2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000−22i2−i2
χ562-22-22i−2i2i−2i00202-22i−2i0-22-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002-2002i−2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000002−2−i2i2
χ572-22-2−2i2i−2i2i00202-2−2i2i0-22-2−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i002-200−2i2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000002−2i2−i2
χ582-22-2−2i2i−2i2i00202-2−2i2i0-22-2−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i002-200−2i2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000−22−i2i2
χ592-22-2−2i2i−2i2i00202-2−2i2i0-22-2−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i002-200−2i2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000−22−i2i2
χ602-22-2−2i2i−2i2i00202-2−2i2i0-22-2−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i002-200−2i2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000002−2i2−i2
χ614444444444-24-4-4-4-44-2-2-2-2-2-2-2-4-4-2-200000000-2-22222222200000000000000000000000000000000000000000000000000
χ6244444444-4-4-2-44444-4-2-2-2-2-2-2-2-4-4220000000022-2-222-2-22200000000000000000000000000000000000000000000000000
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χ7244-4-4-4-4444-4-240000-4-222-2-22200-22000000002-200000000−i6−i6i6i6i6i6−i6−i6i6i6−i6−i6−i6−i6i6i60000000000000000000000000000000000
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χ7444-4-4-4-444-44-2-400004-222-2-222002-2−22−2222222222−22−22-220000000022−2−222−2−2−2−222−2−2220000000000000000000000000000000000
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χ784-44-44i−4i4i−4i00-20-44−4i4i02-22−2i2i−2i2i000000000000002-2002i−2i00−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−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+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ220000000000000000000000000000000000
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χ844-44-4−4i4i−4i4i00-20-444i−4i02-222i−2i2i−2i000000000000002-200−2i2i00ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−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+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ220000000000000000000000000000000000
χ854-4-444i−4i−4i4i004000000-4-44−4i4i4i−4i0000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ864-4-444i−4i−4i4i004000000-4-44−4i4i4i−4i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ874-4-444i−4i−4i4i00-200000022-22i−2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000−2i32i30023−232ζ13−2ζ13−2ζ132ζ132ζ5−2ζ5−2ζ52ζ52ζ7−2ζ7−2ζ72ζ72ζ23−2ζ23−2ζ232ζ230000000000000000000000000000000000
χ884-4-444i−4i−4i4i00-200000022-22i−2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300002i3−2i300−23232ζ5−2ζ5−2ζ52ζ52ζ13−2ζ13−2ζ132ζ132ζ23−2ζ23−2ζ232ζ232ζ7−2ζ7−2ζ72ζ70000000000000000000000000000000000
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χ904-4-444i−4i−4i4i00-200000022-22i−2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300002i3−2i300−2323−2ζ52ζ52ζ5−2ζ5−2ζ132ζ132ζ13−2ζ13−2ζ232ζ232ζ23−2ζ23−2ζ72ζ72ζ7−2ζ70000000000000000000000000000000000
χ914-4-44−4i4i4i−4i004000000-4-444i−4i−4i4i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ924-4-44−4i4i4i−4i004000000-4-444i−4i−4i4i0000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ934-4-44−4i4i4i−4i00-200000022-2−2i2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000−2i32i300−2323−2ζ72ζ72ζ7−2ζ7−2ζ232ζ232ζ23−2ζ23−2ζ132ζ132ζ13−2ζ13−2ζ52ζ52ζ5−2ζ50000000000000000000000000000000000
χ944-4-44−4i4i4i−4i00-200000022-2−2i2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300002i3−2i30023−23−2ζ232ζ232ζ23−2ζ23−2ζ72ζ72ζ7−2ζ7−2ζ52ζ52ζ5−2ζ5−2ζ132ζ132ζ13−2ζ130000000000000000000000000000000000
χ954-4-44−4i4i4i−4i00-200000022-2−2i2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000−2i32i300−23232ζ7−2ζ7−2ζ72ζ72ζ23−2ζ23−2ζ232ζ232ζ13−2ζ13−2ζ132ζ132ζ5−2ζ5−2ζ52ζ50000000000000000000000000000000000
χ964-4-44−4i4i4i−4i00-200000022-2−2i2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300002i3−2i30023−232ζ23−2ζ23−2ζ232ζ232ζ7−2ζ7−2ζ72ζ72ζ5−2ζ5−2ζ52ζ52ζ13−2ζ13−2ζ132ζ130000000000000000000000000000000000

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