Finite Group Databasebeta

← Group #13166673

Character table — Group #13166673

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112224444444444888121212121212121212121212181824243648487272112224444444444888121212121212121212121212181824243648487272112224444444444888121212121212121212121212181824243648487272
order124883366121224242424122424246688121224242424244481212883612242433661212242424241224246126624241212242424246121212241212242436122424336612122424242412242461266242412122424242461212122412122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11-1-1-1-111111111111111111111111111111111-1-11-1-1-1-111111111111111111111111111111111-1-11-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111
χ5111-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-1111-1-11-11-1111-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-1111-1-11-11-1111-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-1111-1-11-11-1
χ6111-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-111-11-1-11-11111-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-111-11-1-11-11111-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-111-11-1-11-11
χ7111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-11111111-1-11-1-11111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-11111111-1-11-1-11111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-11111111-1-11-1-11
χ8111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1111111-11-1-111-1111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1111111-11-1-111-1111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1111111-11-1-111-1
χ9222222222222222222000000000000-2-200-20000222222222222222222000000000000-2-200-20000222222222222222222000000000000-2-200-20000
χ10222-2-2222222-2-2-2-22-2-2000000000000-2-20020000222-2-2222222-2-2-2-22-2-2000000000000-2-20020000222-2-2222222-2-2-2-22-2-2000000000000-2-20020000
χ1122-2002222-2-20000-20000002i−2i002i2i−2i−2i2-2000000022-2002222-2-20000-20000002i−2i002i2i−2i−2i2-2000000022-2002222-2-20000-20000002i−2i002i2i−2i−2i2-20000000
χ1222-2002222-2-20000-2000000−2i2i00−2i−2i2i2i2-2000000022-2002222-2-20000-2000000−2i2i00−2i−2i2i2i2-2000000022-2002222-2-20000-2000000−2i2i00−2i−2i2i2i2-20000000
χ1322-2002222-2-20000-2002-22200-2-20000-22000000022-2002222-2-20000-2002-22200-2-20000-22000000022-2002222-2-20000-2002-22200-2-20000-220000000
χ1422-2002222-2-20000-200-22-2-200220000-22000000022-2002222-2-20000-200-22-2-200220000-22000000022-2002222-2-20000-200-22-2-200220000-220000000
χ15444441-2-21-2-2-2-2-2-211100000000000000220-1-100444441-2-21-2-2-2-2-2-211100000000000000220-1-100444441-2-21-2-2-2-2-2-211100000000000000220-1-100
χ16444441-2-21-2-2-2-2-2-211100000000000000-2-201100444441-2-21-2-2-2-2-2-211100000000000000-2-201100444441-2-21-2-2-2-2-2-211100000000000000-2-201100
χ1744444-211-2111111-2-2-222-1-122-1-1-1-1-1-100000000044444-211-2111111-2-2-222-1-122-1-1-1-1-1-100000000044444-211-2111111-2-2-222-1-122-1-1-1-1-1-1000000000
χ1844444-211-2111111-2-2-2-2-211-2-211111100000000044444-211-2111111-2-2-2-2-211-2-211111100000000044444-211-2111111-2-2-2-2-211-2-2111111000000000
χ19444-4-41-2-21-2-222221-1-1000000000000002-20-1100444-4-41-2-21-2-222221-1-1000000000000002-20-1100444-4-41-2-21-2-222221-1-1000000000000002-20-1100
χ20444-4-41-2-21-2-222221-1-100000000000000-2201-100444-4-41-2-21-2-222221-1-100000000000000-2201-100444-4-41-2-21-2-222221-1-100000000000000-2201-100
χ21444-4-4-211-211-1-1-1-1-22222-1-1-2-2-1-11111000000000444-4-4-211-211-1-1-1-1-22222-1-1-2-2-1-11111000000000444-4-4-211-211-1-1-1-1-22222-1-1-2-2-1-11111000000000
χ22444-4-4-211-211-1-1-1-1-222-2-2112211-1-1-1-1000000000444-4-4-211-211-1-1-1-1-222-2-2112211-1-1-1-1000000000444-4-4-211-211-1-1-1-1-222-2-2112211-1-1-1-1000000000
χ2344-400-211-2-1-13i3i−3i−3i2002-2-1-12i−2i11−i−iii00000000044-400-211-2-1-13i3i−3i−3i2002-2-1-12i−2i11−i−iii00000000044-400-211-2-1-13i3i−3i−3i2002-2-1-12i−2i11−i−iii000000000
χ2444-400-211-2-1-13i3i−3i−3i200-2211−2i2i-1-1ii−i−i00000000044-400-211-2-1-13i3i−3i−3i200-2211−2i2i-1-1ii−i−i00000000044-400-211-2-1-13i3i−3i−3i200-2211−2i2i-1-1ii−i−i000000000
χ2544-400-211-2-1-1−3i−3i3i3i2002-2-1-1−2i2i11ii−i−i00000000044-400-211-2-1-1−3i−3i3i3i2002-2-1-1−2i2i11ii−i−i00000000044-400-211-2-1-1−3i−3i3i3i2002-2-1-1−2i2i11ii−i−i000000000
χ2644-400-211-2-1-1−3i−3i3i3i200-22112i−2i-1-1−i−iii00000000044-400-211-2-1-1−3i−3i3i3i200-22112i−2i-1-1−i−iii00000000044-400-211-2-1-1−3i−3i3i3i200-22112i−2i-1-1−i−iii000000000
χ274-4022−2244-4-40022−2222−22022−220000000000000000000004-4022−2244-4-40022−2222−22022−220000000000000000000004-4022−2244-4-40022−2222−22022−22000000000000000000000
χ284-4022−22-21-123i−3i−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230−2200−i3i3003−3ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000004-4022−22-21-123i−3i−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230−2200−i3i3003−3ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000004-4022−22-21-123i−3i−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230−2200−i3i3003−3ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000
χ294-4022−22-21-123i−3i−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230−2200i3−i300−33−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000004-4022−22-21-123i−3i−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230−2200i3−i300−33−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000004-4022−22-21-123i−3i−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230−2200i3−i300−33−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000
χ304-4022−22-21-12−3i3iζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230−2200−i3i300−33ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000004-4022−22-21-12−3i3iζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230−2200−i3i300−33ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000004-4022−22-21-12−3i3iζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230−2200−i3i300−33ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000
χ314-4022−22-21-12−3i3iζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230−2200i3−i3003−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000004-4022−22-21-12−3i3iζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230−2200i3−i3003−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000004-4022−22-21-12−3i3iζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230−2200i3−i3003−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000
χ324-40−222244-4-400−2222−22220−22220000000000000000000004-40−222244-4-400−2222−22220−22220000000000000000000004-40−222244-4-400−2222−22220−2222000000000000000000000
χ334-40−2222-21-123i−3i2ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2302−200−i3i3003−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000004-40−2222-21-123i−3i2ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2302−200−i3i3003−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000004-40−2222-21-123i−3i2ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2302−200−i3i3003−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000
χ344-40−2222-21-123i−3i2ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2302−200i3−i300−33ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000004-40−2222-21-123i−3i2ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2302−200i3−i300−33ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000004-40−2222-21-123i−3i2ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2302−200i3−i300−33ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000
χ354-40−2222-21-12−3i3i−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2302−200−i3i300−33−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000004-40−2222-21-12−3i3i−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2302−200−i3i300−33−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000004-40−2222-21-12−3i3i−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2302−200−i3i300−33−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000
χ364-40−2222-21-12−3i3i−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2302−200i3−i3003−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000004-40−2222-21-12−3i3i−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2302−200i3−i3003−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000004-40−2222-21-12−3i3i−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2302−200i3−i3003−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000
χ3788-8002-4-42440000-20000000000000000000000088-8002-4-42440000-20000000000000000000000088-8002-4-42440000-200000000000000000000000
χ388-8042−422-44-200−2222−222202−20000000000000000000008-8042−422-44-200−2222−222202−20000000000000000000008-8042−422-44-200−2222−222202−2000000000000000000000
χ398-80−42422-44-20022−2222−220−220000000000000000000008-80−42422-44-20022−2222−220−220000000000000000000008-80−42422-44-20022−2222−220−22000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111111111111111111111-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ42111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ43111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ44111-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-1111-1-11-11-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ45111-1-1111111-1-1-1-11-1-11111-1-111-1-1-1-111-11-1-11-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
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χ100444-4-4-211-211-1-1-1-1-222-2-2112211-1-1-1-1000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i321+i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i321−i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i32000000000
χ10144-400-211-2-1-13i3i−3i−3i2002-2-1-12i−2i11−i−iii000000000−2−2i3−2−2i32+2i3001+i3−1−i32−1−i321+i31+i321+i323ζ223ζ22−3ζ22−3ζ22−1−i300−1−i31+i31+i321+i322ζ22−2ζ22−1−i32−1−i32−ζ22−ζ22ζ22ζ22000000000−2+2i3−2+2i32−2i3001−i3−1+i32−1+i321−i31−i321−i323ζ143ζ14−3ζ14−3ζ14−1+i300−1+i31−i31−i321−i322ζ14−2ζ14−1+i32−1+i32−ζ14−ζ14ζ14ζ14000000000
χ10244-400-211-2-1-13i3i−3i−3i200-2211−2i2i-1-1ii−i−i000000000−2−2i3−2−2i32+2i3001+i3−1−i32−1−i321+i31+i321+i323ζ223ζ22−3ζ22−3ζ22−1−i3001+i3−1−i3−1−i32−1−i32−2ζ222ζ221+i321+i32ζ22ζ22−ζ22−ζ22000000000−2+2i3−2+2i32−2i3001−i3−1+i32−1+i321−i31−i321−i323ζ143ζ14−3ζ14−3ζ14−1+i3001−i3−1+i3−1+i32−1+i32−2ζ142ζ141−i321−i32ζ14ζ14−ζ14−ζ14000000000
χ10344-400-211-2-1-1−3i−3i3i3i2002-2-1-1−2i2i11ii−i−i000000000−2−2i3−2−2i32+2i3001+i3−1−i32−1−i321+i31+i321+i32−3ζ22−3ζ223ζ223ζ22−1−i300−1−i31+i31+i321+i32−2ζ222ζ22−1−i32−1−i32ζ22ζ22−ζ22−ζ22000000000−2+2i3−2+2i32−2i3001−i3−1+i32−1+i321−i31−i321−i32−3ζ14−3ζ143ζ143ζ14−1+i300−1+i31−i31−i321−i32−2ζ142ζ14−1+i32−1+i32ζ14ζ14−ζ14−ζ14000000000
χ10444-400-211-2-1-1−3i−3i3i3i200-22112i−2i-1-1−i−iii000000000−2−2i3−2−2i32+2i3001+i3−1−i32−1−i321+i31+i321+i32−3ζ22−3ζ223ζ223ζ22−1−i3001+i3−1−i3−1−i32−1−i322ζ22−2ζ221+i321+i32−ζ22−ζ22ζ22ζ22000000000−2+2i3−2+2i32−2i3001−i3−1+i32−1+i321−i31−i321−i32−3ζ14−3ζ143ζ143ζ14−1+i3001−i3−1+i3−1+i32−1+i322ζ14−2ζ141−i321−i32−ζ14−ζ14ζ14ζ14000000000
χ1054-4022−2244-4-40022−2222−22022−22000000000000000000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ13−2−2i3−2−2i32+2i32+2i300−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ130−2ζ7+2ζ132ζ7−2ζ13000000000000000000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ23−2+2i3−2+2i32−2i32−2i3002ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ2302ζ5−2ζ23−2ζ5+2ζ23000000000000000000000
χ1064-4022−22-21-123i−3i−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230−2200−i3i3003−3ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ131+i3−1−i321+i32−1−i33ζ22−3ζ22ζ7+2ζ13−ζ7−2ζ13−2ζ7−ζ132ζ7+ζ130ζ7−ζ13−ζ7+ζ1300−3+i323−i32002ζ14+ζ22−2ζ14−ζ22−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ23000000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ231−i3−1+i321−i32−1+i33ζ14−3ζ142ζ5+ζ23−2ζ5−ζ23−ζ5−2ζ23ζ5+2ζ230−ζ5+ζ23ζ5−ζ23003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ22ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ23000000000
χ1074-4022−22-21-123i−3i−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230−2200i3−i300−33−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ131+i3−1−i321+i32−1−i33ζ22−3ζ22ζ7+2ζ13−ζ7−2ζ13−2ζ7−ζ132ζ7+ζ130ζ7−ζ13−ζ7+ζ13003−i32−3+i3200−2ζ14−ζ222ζ14+ζ222ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ23000000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ231−i3−1+i321−i32−1+i33ζ14−3ζ142ζ5+ζ23−2ζ5−ζ23−ζ5−2ζ23ζ5+2ζ230−ζ5+ζ23ζ5−ζ2300−3−i323+i3200ζ14+2ζ22−ζ14−2ζ22−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ23000000000
χ1084-4022−22-21-12−3i3iζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230−2200−i3i300−33ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ131+i3−1−i321+i32−1−i3−3ζ223ζ22−2ζ7−ζ132ζ7+ζ13ζ7+2ζ13−ζ7−2ζ130ζ7−ζ13−ζ7+ζ1300−3+i323−i3200−2ζ14−ζ222ζ14+ζ22ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ13000000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ231−i3−1+i321−i32−1+i3−3ζ143ζ14−ζ5−2ζ23ζ5+2ζ232ζ5+ζ23−2ζ5−ζ230−ζ5+ζ23ζ5−ζ23003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ22−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ13000000000
χ1094-4022−22-21-12−3i3iζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230−2200i3−i3003−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ131+i3−1−i321+i32−1−i3−3ζ223ζ22−2ζ7−ζ132ζ7+ζ13ζ7+2ζ13−ζ7−2ζ130ζ7−ζ13−ζ7+ζ13003−i32−3+i32002ζ14+ζ22−2ζ14−ζ22−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ13000000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ231−i3−1+i321−i32−1+i3−3ζ143ζ14−ζ5−2ζ23ζ5+2ζ232ζ5+ζ23−2ζ5−ζ230−ζ5+ζ23ζ5−ζ2300−3−i323+i3200−ζ14−2ζ22ζ14+2ζ222ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ13000000000
χ1104-40−222244-4-400−2222−22220−2222000000000000000000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ13−2−2i3−2−2i32+2i32+2i3002ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ1302ζ7−2ζ13−2ζ7+2ζ13000000000000000000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ23−2+2i3−2+2i32−2i32−2i300−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ230−2ζ5+2ζ232ζ5−2ζ23000000000000000000000
χ1114-40−2222-21-123i−3i2ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2302−200−i3i3003−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ131+i3−1−i321+i32−1−i33ζ22−3ζ22−ζ7−2ζ13ζ7+2ζ132ζ7+ζ13−2ζ7−ζ130−ζ7+ζ13ζ7−ζ1300−3+i323−i32002ζ14+ζ22−2ζ14−ζ222ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ23000000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ231−i3−1+i321−i32−1+i33ζ14−3ζ14−2ζ5−ζ232ζ5+ζ23ζ5+2ζ23−ζ5−2ζ230ζ5−ζ23−ζ5+ζ23003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ22−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ23000000000
χ1124-40−2222-21-123i−3i2ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ2302−200i3−i300−33ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ131+i3−1−i321+i32−1−i33ζ22−3ζ22−ζ7−2ζ13ζ7+2ζ132ζ7+ζ13−2ζ7−ζ130−ζ7+ζ13ζ7−ζ13003−i32−3+i3200−2ζ14−ζ222ζ14+ζ22−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ23000000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ231−i3−1+i321−i32−1+i33ζ14−3ζ14−2ζ5−ζ232ζ5+ζ23ζ5+2ζ23−ζ5−2ζ230ζ5−ζ23−ζ5+ζ2300−3−i323+i3200ζ14+2ζ22−ζ14−2ζ22ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ23000000000
χ1134-40−2222-21-12−3i3i−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2302−200−i3i300−33−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ131+i3−1−i321+i32−1−i3−3ζ223ζ222ζ7+ζ13−2ζ7−ζ13−ζ7−2ζ13ζ7+2ζ130−ζ7+ζ13ζ7−ζ1300−3+i323−i3200−2ζ14−ζ222ζ14+ζ22−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ13000000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ231−i3−1+i321−i32−1+i3−3ζ143ζ14ζ5+2ζ23−ζ5−2ζ23−2ζ5−ζ232ζ5+ζ230ζ5−ζ23−ζ5+ζ23003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ222ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ13000000000
χ1144-40−2222-21-12−3i3i−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ2302−200i3−i3003−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ131+i3−1−i321+i32−1−i3−3ζ223ζ222ζ7+ζ13−2ζ7−ζ13−ζ7−2ζ13ζ7+2ζ130−ζ7+ζ13ζ7−ζ13003−i32−3+i32002ζ14+ζ22−2ζ14−ζ22ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ13000000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ231−i3−1+i321−i32−1+i3−3ζ143ζ14ζ5+2ζ23−ζ5−2ζ23−2ζ5−ζ232ζ5+ζ230ζ5−ζ23−ζ5+ζ2300−3−i323+i3200−ζ14−2ζ22ζ14+2ζ22−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ13000000000
χ11588-8002-4-42440000-200000000000000000000000−4−4i3−4−4i34+4i300−1−i32+2i32+2i3−1−i3−2−2i3−2−2i300001+i300000000000000000000000−4+4i3−4+4i34−4i300−1+i32−2i32−2i3−1+i3−2+2i3−2+2i300001−i300000000000000000000000
χ1168-8042−422-44-200−2222−222202−2000000000000000000000−4−4i34+4i30−4ζ7+4ζ134ζ7−4ζ13−1−i32+2i3−2−2i31+i3002ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ130−ζ7+ζ13ζ7−ζ13000000000000000000000−4+4i34−4i304ζ5−4ζ23−4ζ5+4ζ23−1+i32−2i3−2+2i31−i300−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ230ζ5−ζ23−ζ5+ζ23000000000000000000000
χ1178-80−42422-44-20022−2222−220−22000000000000000000000−4−4i34+4i304ζ7−4ζ13−4ζ7+4ζ13−1−i32+2i3−2−2i31+i300−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ130ζ7−ζ13−ζ7+ζ13000000000000000000000−4+4i34−4i30−4ζ5+4ζ234ζ5−4ζ23−1+i32−2i3−2+2i31−i3002ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ230−ζ5+ζ23ζ5−ζ23000000000000000000000

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