Finite Group Databasebeta

← Group #13167049

Character table — Group #13167049

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222244444444444444448888121212121212121212121212121212121212181836363636363636365454545411112222444444444444444488881212121212121212121212121212121212121818363636363636363654545454
order12443612123333666612121212121212123612128824242424242424242424242424242424242466612121244442244661212666666661212121212121212661212882424242424242424242424242424242424246661212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-11111
χ511-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−iiiiiii−i−i−i−i−i−i-111-1-1111-1-1ii−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−iiiiiii−i−i−i−i−i−i-111-1-1111-1-1ii−i−i
χ611-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−iiiiiii−i−i−i−i−i−i-11-11-1-1-1111−i−iii11-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−iiiiiii−i−i−i−i−i−i-11-11-1-1-1111−i−iii
χ711-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−i−i−iiiiiii-111-1-1111-1-1−i−iii11-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−i−i−iiiiiii-111-1-1111-1-1−i−iii
χ811-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−i−i−iiiiiii-11-11-1-1-1111ii−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−i−i−iiiiiii-11-11-1-1-1111ii−i−i
χ92222222222222222222222222222000000000000000000-2-200-200-20000002222222222222222222222222222000000000000000000-2-200-200-2000000
χ102222-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-100−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-20010010000002222-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-100−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-2001001000000
χ112222-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-100i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-20010010000002222-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-100i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-2001001000000
χ122222-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12200-100-10000002222-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12200-100-1000000
χ132222-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-1-2-21111-2-21111-2-211112200-100-10000002222-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-1-2-21111-2-21111-2-211112200-100-1000000
χ1422-2-222-2-222222222-2-2-2-2-2-2-2-222-2-20000000000000000002-200200-200000022-2-222-2-222222222-2-2-2-2-2-2-2-222-2-20000000000000000002-200200-2000000
χ1522-2-2-1-1112-1-122-1-12-2-2-2-21111-1-111003−3−330033−3−300−3−3332-200-100100000022-2-2-1-1112-1-122-1-12-2-2-2-21111-1-111003−3−330033−3−300−3−3332-200-1001000000
χ1622-2-2-1-1112-1-122-1-12-2-2-2-21111-1-11100−333−300−3−3330033−3−32-200-100100000022-2-2-1-1112-1-122-1-12-2-2-2-21111-1-11100−333−300−3−3330033−3−32-200-1001000000
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χ1822-2-2-1-1112-1-122-1-12-2-2-2-21111-1-111−2i2iii−i−i−2i−2iiiii2i2i−i−i−i−i-2200100-100000022-2-2-1-1112-1-122-1-12-2-2-2-21111-1-111−2i2iii−i−i−2i−2iiiii2i2i−i−i−i−i-2200100-1000000
χ192-22i−2i2-22i−2i2222-2-2-2-22i−2i2i−2i2i2i−2i−2i2-22i−2i00000000000000000000000000001+i−1−i1−i−1+i2-22i−2i2-22i−2i2222-2-2-2-22i−2i2i−2i2i2i−2i−2i2-22i−2i00000000000000000000000000001+i−1−i1−i−1+i
χ202-22i−2i2-22i−2i2222-2-2-2-22i−2i2i−2i2i2i−2i−2i2-22i−2i0000000000000000000000000000−1−i1+i−1+i1−i2-22i−2i2-22i−2i2222-2-2-2-22i−2i2i−2i2i2i−2i−2i2-22i−2i0000000000000000000000000000−1−i1+i−1+i1−i
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χ222-2−2i2i2-2−2i2i2222-2-2-2-2−2i2i−2i2i−2i−2i2i2i2-2−2i2i0000000000000000000000000000−1+i1−i−1−i1+i2-2−2i2i2-2−2i2i2222-2-2-2-2−2i2i−2i2i−2i−2i2i2i2-2−2i2i0000000000000000000000000000−1+i1−i−1−i1+i
χ2344444444111-2111-2-2-2111111-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000044444444111-2111-2-2-2111111-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2444444444111-2111-2-2-2111111-2-2-2-2-2-2-2-2-2-21111111111110000000000000044444444111-2111-2-2-2111111-2-2-2-2-2-2-2-2-2-211111111111100000000000000
χ2544444444-2-2-21-2-2-2111-2-2-2-2-2-2111100000000000000000000220-1-10-1-1000044444444-2-2-21-2-2-2111-2-2-2-2-2-2111100000000000000000000220-1-10-1-10000
χ2644444444-2-2-21-2-2-2111-2-2-2-2-2-2111100000000000000000000-2-2011011000044444444-2-2-21-2-2-2111-2-2-2-2-2-2111100000000000000000000-2-20110110000
χ274444-2-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-2-2-211−1−3i32−1+3i32−1−3i32−1+3i32111122−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000004444-2-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-2-2-211−1−3i32−1+3i32−1−3i32−1+3i32111122−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3200000000000000
χ284444-2-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-2-2-211−1−3i32−1+3i32−1−3i32−1+3i321111-2-21+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000004444-2-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-2-2-211−1−3i32−1+3i32−1−3i32−1+3i321111-2-21+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000000000
χ294444-2-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-2-2-211−1+3i32−1−3i32−1+3i32−1−3i32111122−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000004444-2-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-2-2-211−1+3i32−1−3i32−1+3i32−1−3i32111122−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3200000000000000
χ304444-2-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-2-2-211−1+3i32−1−3i32−1+3i32−1−3i321111-2-21−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000004444-2-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-2-2-211−1+3i32−1−3i32−1+3i32−1−3i321111-2-21−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000000
χ3144-4-444-4-4111-2111-222-1-1-1-1-1-1-2-2222i−2i2i2i−2i−2i−i−i−i−i−i−iiiiiii0000000000000044-4-444-4-4111-2111-222-1-1-1-1-1-1-2-2222i−2i2i2i−2i−2i−i−i−i−i−i−iiiiiii00000000000000
χ3244-4-444-4-4111-2111-222-1-1-1-1-1-1-2-222−2i2i−2i−2i2i2iiiiiii−i−i−i−i−i−i0000000000000044-4-444-4-4111-2111-222-1-1-1-1-1-1-2-222−2i2i−2i−2i2i2iiiiiii−i−i−i−i−i−i00000000000000
χ3344-4-444-4-4-2-2-21-2-2-21-1-122222211-1-1000000000000000000002-20-1-1011000044-4-444-4-4-2-2-21-2-2-21-1-122222211-1-1000000000000000000002-20-1-10110000
χ3444-4-444-4-4-2-2-21-2-2-21-1-122222211-1-100000000000000000000-220110-1-1000044-4-444-4-4-2-2-21-2-2-21-1-122222211-1-100000000000000000000-220110-1-10000
χ3544-4-4-2-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-222-1-11+3i321−3i321+3i321−3i3211-1-12i−2i2ζ222ζ14−2ζ22−2ζ14−i−i−ζ22−ζ22−ζ14−ζ14iiζ22ζ22ζ14ζ140000000000000044-4-4-2-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-222-1-11+3i321−3i321+3i321−3i3211-1-12i−2i2ζ222ζ14−2ζ22−2ζ14−i−i−ζ22−ζ22−ζ14−ζ14iiζ22ζ22ζ14ζ1400000000000000
χ3644-4-4-2-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-222-1-11+3i321−3i321+3i321−3i3211-1-1−2i2i−2ζ22−2ζ142ζ222ζ14iiζ22ζ22ζ14ζ14−i−i−ζ22−ζ22−ζ14−ζ140000000000000044-4-4-2-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-222-1-11+3i321−3i321+3i321−3i3211-1-1−2i2i−2ζ22−2ζ142ζ222ζ14iiζ22ζ22ζ14ζ14−i−i−ζ22−ζ22−ζ14−ζ1400000000000000
χ3744-4-4-2-2221−1+3i32−1−3i32-21−1+3i32−1−3i32-222-1-11−3i321+3i321−3i321+3i3211-1-12i−2i2ζ142ζ22−2ζ14−2ζ22−i−i−ζ14−ζ14−ζ22−ζ22iiζ14ζ14ζ22ζ220000000000000044-4-4-2-2221−1+3i32−1−3i32-21−1+3i32−1−3i32-222-1-11−3i321+3i321−3i321+3i3211-1-12i−2i2ζ142ζ22−2ζ14−2ζ22−i−i−ζ14−ζ14−ζ22−ζ22iiζ14ζ14ζ22ζ2200000000000000
χ3844-4-4-2-2221−1+3i32−1−3i32-21−1+3i32−1−3i32-222-1-11−3i321+3i321−3i321+3i3211-1-1−2i2i−2ζ14−2ζ222ζ142ζ22iiζ14ζ14ζ22ζ22−i−i−ζ14−ζ14−ζ22−ζ220000000000000044-4-4-2-2221−1+3i32−1−3i32-21−1+3i32−1−3i32-222-1-11−3i321+3i321−3i321+3i3211-1-1−2i2i−2ζ14−2ζ222ζ142ζ22iiζ14ζ14ζ22ζ22−i−i−ζ14−ζ14−ζ22−ζ2200000000000000
χ394-44i−4i4-44i−4i111-2-1-1-12−2i2ii−iii−i−i-22−2i2i000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000004-44i−4i4-44i−4i111-2-1-1-12−2i2ii−iii−i−i-22−2i2i000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000
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χ434-44i−4i-22−2i2i1−1−3i32−1+3i32-2-11+3i321−3i322−2i2ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ221-1i−i000000−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13000000000000004-44i−4i-22−2i2i1−1−3i32−1+3i32-2-11+3i321−3i322−2i2ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ221-1i−i000000−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ1300000000000000
χ444-44i−4i-22−2i2i1−1−3i32−1+3i32-2-11+3i321−3i322−2i2ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ221-1i−i000000ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ13000000000000004-44i−4i-22−2i2i1−1−3i32−1+3i32-2-11+3i321−3i322−2i2ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ221-1i−i000000ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ1300000000000000
χ454-44i−4i-22−2i2i1−1+3i32−1−3i32-2-11−3i321+3i322−2i2ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ221-1i−i000000−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ13000000000000004-44i−4i-22−2i2i1−1+3i32−1−3i32-2-11−3i321+3i322−2i2ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ221-1i−i000000−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ1300000000000000
χ464-44i−4i-22−2i2i1−1+3i32−1−3i32-2-11−3i321+3i322−2i2ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ221-1i−i000000ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ13000000000000004-44i−4i-22−2i2i1−1+3i32−1−3i32-2-11−3i321+3i322−2i2ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ221-1i−i000000ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ1300000000000000
χ474-44i−4i-22−2i2i4-2-24-422-44i−4i4i−4i−2i−2i2i2i-22−2i2i000000000000000000000000000000004-44i−4i-22−2i2i4-2-24-422-44i−4i4i−4i−2i−2i2i2i-22−2i2i00000000000000000000000000000000
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χ1044-44i−4i-22−2i2i1−1−3i32−1+3i32-2-11+3i321−3i322−2i2ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ221-1i−i000000ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ1300000000000000-44−4i4i2-22i−2i-11+3i321−3i3221−1−3i32−1+3i32-22i−2i−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ22-11−ii000000−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ1300000000000000
χ1054-44i−4i-22−2i2i1−1+3i32−1−3i32-2-11−3i321+3i322−2i2ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ221-1i−i000000−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ1300000000000000-44−4i4i2-22i−2i-11−3i321+3i3221−1+3i32−1−3i32-22i−2i−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ22-11−ii000000ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ1300000000000000
χ1064-44i−4i-22−2i2i1−1+3i32−1−3i32-2-11−3i321+3i322−2i2ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ221-1i−i000000ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ1300000000000000-44−4i4i2-22i−2i-11−3i321+3i3221−1+3i32−1−3i32-22i−2i−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ22-11−ii000000−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ1300000000000000
χ1074-44i−4i-22−2i2i4-2-24-422-44i−4i4i−4i−2i−2i2i2i-22−2i2i00000000000000000000000000000000-44−4i4i2-22i−2i-422-44-2-24−4i4i−4i4i2i2i−2i−2i2-22i−2i00000000000000000000000000000000
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χ1094-4−4i4i4-4−4i4i111-2-1-1-122i−2i−ii−i−iii-222i−2i000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000-444i−4i-444i−4i-1-1-12111-2−2i2ii−iii−i−i2-2−2i2i000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000
χ1104-4−4i4i4-4−4i4i-2-2-21222-1−ii2i−2i2i2i−2i−2i1-1−ii00000000000000000000000−i3i30−330000-444i−4i-444i−4i222-1-2-2-21i−i−2i2i−2i−2i2i2i-11i−i00000000000000000000000i3−i303−30000
χ1114-4−4i4i4-4−4i4i-2-2-21222-1−ii2i−2i2i2i−2i−2i1-1−ii00000000000000000000000i3−i303−30000-444i−4i-444i−4i222-1-2-2-21i−i−2i2i−2i−2i2i2i-11i−i00000000000000000000000−i3i30−330000
χ1124-4−4i4i-222i−2i1−1−3i32−1+3i32-2-11+3i321−3i3222i−2i−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ221-1−ii000000ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ2300000000000000-444i−4i2-2−2i2i-11+3i321−3i3221−1−3i32−1+3i32-2−2i2ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22-11i−i000000−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ13ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ2300000000000000
χ1134-4−4i4i-222i−2i1−1−3i32−1+3i32-2-11+3i321−3i3222i−2i−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ221-1−ii000000−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ13ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ2300000000000000-444i−4i2-2−2i2i-11+3i321−3i3221−1−3i32−1+3i32-2−2i2ii−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22-11i−i000000ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ2300000000000000
χ1144-4−4i4i-222i−2i1−1+3i32−1−3i32-2-11−3i321+3i3222i−2i−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ221-1−ii000000ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ13−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ2300000000000000-444i−4i2-2−2i2i-11−3i321+3i3221−1+3i32−1−3i32-2−2i2ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22-11i−i000000−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ13ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ2300000000000000
χ1154-4−4i4i-222i−2i1−1+3i32−1−3i32-2-11−3i321+3i3222i−2i−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ221-1−ii000000−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ13ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ2300000000000000-444i−4i2-2−2i2i-11−3i321+3i3221−1+3i32−1−3i32-2−2i2ii−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22-11i−i000000ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ13−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ2300000000000000
χ1164-4−4i4i-222i−2i4-2-24-422-4−4i4i−4i4i2i2i−2i−2i-222i−2i00000000000000000000000000000000-444i−4i2-2−2i2i-422-44-2-244i−4i4i−4i−2i−2i2i2i2-2−2i2i00000000000000000000000000000000
χ1178888-4-4-4-4-4222-422222-4-42222-1-1-1-100000000000000000000000000000000-8-8-8-844444-2-2-24-2-2-2-2-244-2-2-2-2111100000000000000000000000000000000
χ11888-8-8-4-444-4222-4222-2-244-2-2-2-2-1-11100000000000000000000000000000000-8-88844-4-44-2-2-24-2-2-222-4-4222211-1-100000000000000000000000000000000
χ1198-88i−8i-44−4i4i-42224-2-2-22i−2i−4i4i2i2i−2i−2i-11−ii00000000000000000000000000000000-88−8i8i4-44i−4i4-2-2-2-4222−2i2i4i−4i−2i−2i2i2i1-1i−i00000000000000000000000000000000
χ1208-8−8i8i-444i−4i-42224-2-2-2−2i2i4i−4i−2i−2i2i2i-11i−i00000000000000000000000000000000-888i−8i4-4−4i4i4-2-2-2-42222i−2i−4i4i2i2i−2i−2i1-1−ii00000000000000000000000000000000

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