Finite Group Databasebeta

← Group #13167090

Character table — Group #13167090

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222244444444444444448888121212121212121212121212121212121212181836363636363636365454545411112222444444444444444488881212121212121212121212121212121212121818363636363636363654545454
order124436121233336666121212121212121236121288242424242424242424242424242424242468812242424248888224466121266666666121212121212121266121288242424242424242424242424242424242468812242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111
χ511-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−iiiiiii−i−i−i−i−i−i-11-1i−i1ii−i−i11-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−iiiiiii−i−i−i−i−i−i-11-1i−i1ii−i−i11-1-1
χ611-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−iiiiiii−i−i−i−i−i−i-11-1−ii1−i−iii-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1i−iii−i−iiiiiii−i−i−i−i−i−i-11-1−ii1−i−iii-1-111
χ711-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−i−i−iiiiiii-11-1i−i1ii−i−i-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−i−i−iiiiiii-11-1i−i1ii−i−i-1-111
χ811-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−i−i−iiiiiii-11-1−ii1−i−iii11-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−ii−i−iii−i−i−i−i−i−iiiiiii-11-1−ii1−i−iii11-1-1
χ92222222222222222222222222222000000000000000000-2-2-200-2000000002222222222222222222222222222000000000000000000-2-2-200-200000000
χ102222-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-100−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-21001000000002222-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-100−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-2100100000000
χ112222-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-100i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-21001000000002222-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-100i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-2100100000000
χ122222-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-100-1000000002222-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-100-100000000
χ132222-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2111122-100-1000000002222-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2111122-100-100000000
χ1422-2-222-2-222222222-2-2-2-2-2-2-2-222-2-20000000000000000002-2200-20000000022-2-222-2-222222222-2-2-2-2-2-2-2-222-2-20000000000000000002-2200-200000000
χ1522-2-2-1-11122-1-122-1-1-2-21111-2-2-1-111003−3−330033−3−300−3−3332-2-10010000000022-2-2-1-11122-1-122-1-1-2-21111-2-2-1-111003−3−330033−3−300−3−3332-2-100100000000
χ1622-2-2-1-11122-1-122-1-1-2-21111-2-2-1-11100−333−300−3−3330033−3−32-2-10010000000022-2-2-1-11122-1-122-1-1-2-21111-2-2-1-11100−333−300−3−3330033−3−32-2-100100000000
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χ1822-2-2-1-11122-1-122-1-1-2-21111-2-2-1-111−2i2iii−i−i−2i−2iiiii2i2i−i−i−i−i-22100-10000000022-2-2-1-11122-1-122-1-1-2-21111-2-2-1-111−2i2iii−i−i−2i−2iiiii2i2i−i−i−i−i-22100-100000000
χ192-22i−2i2-22i−2i2222-2-2-2-22i−2i2i2i−2i−2i2i−2i2-22i−2i00000000000000000000000000002−2−i2i22-22i−2i2-22i−2i2222-2-2-2-22i−2i2i2i−2i−2i2i−2i2-22i−2i00000000000000000000000000002−2−i2i2
χ202-22i−2i2-22i−2i2222-2-2-2-22i−2i2i2i−2i−2i2i−2i2-22i−2i0000000000000000000000000000−22i2−i22-22i−2i2-22i−2i2222-2-2-2-22i−2i2i2i−2i−2i2i−2i2-22i−2i0000000000000000000000000000−22i2−i2
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χ222-2−2i2i2-2−2i2i2222-2-2-2-2−2i2i−2i−2i2i2i−2i2i2-2−2i2i0000000000000000000000000000−22−i2i22-2−2i2i2-2−2i2i2222-2-2-2-2−2i2i−2i−2i2i2i−2i2i2-2−2i2i0000000000000000000000000000−22−i2i2
χ23444444441-2111-211111111-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000444444441-2111-211111111-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ24444444441-2111-211111111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000444444441-2111-211111111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000
χ2544444444-21-2-2-21-2-2-2-2-2-2-2-2111111000000000000000000000220-1-1-1-1000044444444-21-2-2-21-2-2-2-2-2-2-2-2111111000000000000000000000220-1-1-1-10000
χ2644444444-21-2-2-21-2-2-2-2-2-2-2-2111111000000000000000000000-2-201111000044444444-21-2-2-21-2-2-2-2-2-2-2-2111111000000000000000000000-2-2011110000
χ274444-2-2-2-21-2−1−3i32−1+3i321-2−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2111122−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000004444-2-2-2-21-2−1−3i32−1+3i321-2−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2111122−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3200000000000000
χ284444-2-2-2-21-2−1−3i32−1+3i321-2−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-21111-2-21+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000004444-2-2-2-21-2−1−3i32−1+3i321-2−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-21111-2-21+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000000000
χ294444-2-2-2-21-2−1+3i32−1−3i321-2−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2111122−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000004444-2-2-2-21-2−1+3i32−1−3i321-2−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2111122−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3200000000000000
χ304444-2-2-2-21-2−1+3i32−1−3i321-2−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-21111-2-21−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000004444-2-2-2-21-2−1+3i32−1−3i321-2−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-21111-2-21−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000000
χ3144-4-444-4-41-2111-211-1-1-1-1-1-122-2-2222i−2i2i2i−2i−2i−i−i−i−i−i−iiiiiii0000000000000044-4-444-4-41-2111-211-1-1-1-1-1-122-2-2222i−2i2i2i−2i−2i−i−i−i−i−i−iiiiiii00000000000000
χ3244-4-444-4-41-2111-211-1-1-1-1-1-122-2-222−2i2i−2i−2i2i2iiiiiii−i−i−i−i−i−i0000000000000044-4-444-4-41-2111-211-1-1-1-1-1-122-2-222−2i2i−2i−2i2i2iiiiiii−i−i−i−i−i−i00000000000000
χ3344-4-444-4-4-21-2-2-21-2-2222222-1-111-1-10000000000000000000002i−2i0−i−iii000044-4-444-4-4-21-2-2-21-2-2222222-1-111-1-10000000000000000000002i−2i0−i−iii0000
χ3444-4-444-4-4-21-2-2-21-2-2222222-1-111-1-1000000000000000000000−2i2i0ii−i−i000044-4-444-4-4-21-2-2-21-2-2222222-1-111-1-1000000000000000000000−2i2i0ii−i−i0000
χ3544-4-4-2-2221-2−1−3i32−1+3i321-2−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322211-1-12i−2i2ζ222ζ14−2ζ22−2ζ14−i−i−ζ22−ζ22−ζ14−ζ14iiζ22ζ22ζ14ζ140000000000000044-4-4-2-2221-2−1−3i32−1+3i321-2−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322211-1-12i−2i2ζ222ζ14−2ζ22−2ζ14−i−i−ζ22−ζ22−ζ14−ζ14iiζ22ζ22ζ14ζ1400000000000000
χ3644-4-4-2-2221-2−1−3i32−1+3i321-2−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322211-1-1−2i2i−2ζ22−2ζ142ζ222ζ14iiζ22ζ22ζ14ζ14−i−i−ζ22−ζ22−ζ14−ζ140000000000000044-4-4-2-2221-2−1−3i32−1+3i321-2−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322211-1-1−2i2i−2ζ22−2ζ142ζ222ζ14iiζ22ζ22ζ14ζ14−i−i−ζ22−ζ22−ζ14−ζ1400000000000000
χ3744-4-4-2-2221-2−1+3i32−1−3i321-2−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322211-1-12i−2i2ζ142ζ22−2ζ14−2ζ22−i−i−ζ14−ζ14−ζ22−ζ22iiζ14ζ14ζ22ζ220000000000000044-4-4-2-2221-2−1+3i32−1−3i321-2−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322211-1-12i−2i2ζ142ζ22−2ζ14−2ζ22−i−i−ζ14−ζ14−ζ22−ζ22iiζ14ζ14ζ22ζ2200000000000000
χ3844-4-4-2-2221-2−1+3i32−1−3i321-2−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322211-1-1−2i2i−2ζ14−2ζ222ζ142ζ22iiζ14ζ14ζ22ζ22−i−i−ζ14−ζ14−ζ22−ζ220000000000000044-4-4-2-2221-2−1+3i32−1−3i321-2−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322211-1-1−2i2i−2ζ14−2ζ222ζ142ζ22iiζ14ζ14ζ22ζ22−i−i−ζ14−ζ14−ζ22−ζ2200000000000000
χ394-44i−4i4-44i−4i1-211-12-1-1i−iii−i−i−2i2i-22−2i2i000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000004-44i−4i4-44i−4i1-211-12-1-1i−iii−i−i−2i2i-22−2i2i000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000
χ404-44i−4i4-44i−4i1-211-12-1-1i−iii−i−i−2i2i-22−2i2i000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000004-44i−4i4-44i−4i1-211-12-1-1i−iii−i−i−2i2i-22−2i2i000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000
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χ434-44i−4i-22−2i2i1-2−1−3i32−1+3i32-121+3i321−3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−2i2i1-1i−i000000−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13000000000000004-44i−4i-22−2i2i1-2−1−3i32−1+3i32-121+3i321−3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−2i2i1-1i−i000000−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ1300000000000000
χ444-44i−4i-22−2i2i1-2−1−3i32−1+3i32-121+3i321−3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−2i2i1-1i−i000000ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ13000000000000004-44i−4i-22−2i2i1-2−1−3i32−1+3i32-121+3i321−3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−2i2i1-1i−i000000ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ1300000000000000
χ454-44i−4i-22−2i2i1-2−1+3i32−1−3i32-121−3i321+3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2i2i1-1i−i000000−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ13000000000000004-44i−4i-22−2i2i1-2−1+3i32−1−3i32-121−3i321+3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2i2i1-1i−i000000−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ1300000000000000
χ464-44i−4i-22−2i2i1-2−1+3i32−1−3i32-121−3i321+3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2i2i1-1i−i000000ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ13000000000000004-44i−4i-22−2i2i1-2−1+3i32−1−3i32-121−3i321+3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2i2i1-1i−i000000ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ1300000000000000
χ474-44i−4i-22−2i2i44-2-2-4-4224i−4i−2i−2i2i2i4i−4i-22−2i2i000000000000000000000000000000004-44i−4i-22−2i2i44-2-2-4-4224i−4i−2i−2i2i2i4i−4i-22−2i2i00000000000000000000000000000000
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χ1034-44i−4i-22−2i2i1-2−1−3i32−1+3i32-121+3i321−3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−2i2i1-1i−i000000−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ1300000000000000-44−4i4i2-22i−2i-121+3i321−3i321-2−1−3i32−1+3i32−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ222i−2i-11−ii000000ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ1300000000000000
χ1044-44i−4i-22−2i2i1-2−1−3i32−1+3i32-121+3i321−3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−2i2i1-1i−i000000ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ23−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ1300000000000000-44−4i4i2-22i−2i-121+3i321−3i321-2−1−3i32−1+3i32−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ222i−2i-11−ii000000−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ23ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ1300000000000000
χ1054-44i−4i-22−2i2i1-2−1+3i32−1−3i32-121−3i321+3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2i2i1-1i−i000000−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ1300000000000000-44−4i4i2-22i−2i-121−3i321+3i321-2−1+3i32−1−3i32−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ222i−2i-11−ii000000ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ1300000000000000
χ1064-44i−4i-22−2i2i1-2−1+3i32−1−3i32-121−3i321+3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2i2i1-1i−i000000ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ1300000000000000-44−4i4i2-22i−2i-121−3i321+3i321-2−1+3i32−1−3i32−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ222i−2i-11−ii000000−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ1300000000000000
χ1074-44i−4i-22−2i2i44-2-2-4-4224i−4i−2i−2i2i2i4i−4i-22−2i2i00000000000000000000000000000000-44−4i4i2-22i−2i-4-42244-2-2−4i4i2i2i−2i−2i−4i4i2-22i−2i00000000000000000000000000000000
χ1084-4−4i4i4-4−4i4i1-211-12-1-1−ii−i−iii2i−2i-222i−2i000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000-444i−4i-444i−4i-12-1-11-211i−iii−i−i−2i2i2-2−2i2i000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000
χ1094-4−4i4i4-4−4i4i1-211-12-1-1−ii−i−iii2i−2i-222i−2i000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000-444i−4i-444i−4i-12-1-11-211i−iii−i−i−2i2i2-2−2i2i000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000
χ1104-4−4i4i4-4−4i4i-21-2-22-1222i−2i2i2i−2i−2i−ii1-1−ii000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000-444i−4i-444i−4i2-122-21-2-2−2i2i−2i−2i2i2ii−i-11i−i000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ1114-4−4i4i4-4−4i4i-21-2-22-1222i−2i2i2i−2i−2i−ii1-1−ii000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000-444i−4i-444i−4i2-122-21-2-2−2i2i−2i−2i2i2ii−i-11i−i000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ1124-4−4i4i-222i−2i1-2−1−3i32−1+3i32-121+3i321−3i32−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ222i−2i1-1−ii000000ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ2300000000000000-444i−4i2-2−2i2i-121+3i321−3i321-2−1−3i32−1+3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−2i2i-11i−i000000−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ13ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ2300000000000000
χ1134-4−4i4i-222i−2i1-2−1−3i32−1+3i32-121+3i321−3i32−iiζ14−2ζ22−2ζ14+ζ22−ζ14+2ζ222ζ14−ζ222i−2i1-1−ii000000−ζ5+ζ13ζ5−ζ132ζ5+ζ13−2ζ5−ζ13−ζ5−2ζ13ζ5+2ζ13ζ7−ζ23−ζ7+ζ23ζ7+2ζ23−ζ7−2ζ23−2ζ7−ζ232ζ7+ζ2300000000000000-444i−4i2-2−2i2i-121+3i321−3i321-2−1−3i32−1+3i32i−i−ζ14+2ζ222ζ14−ζ22ζ14−2ζ22−2ζ14+ζ22−2i2i-11i−i000000ζ5−ζ13−ζ5+ζ13−2ζ5−ζ132ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−ζ7+ζ23ζ7−ζ23−ζ7−2ζ23ζ7+2ζ232ζ7+ζ23−2ζ7−ζ2300000000000000
χ1144-4−4i4i-222i−2i1-2−1+3i32−1−3i32-121−3i321+3i32−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ222i−2i1-1−ii000000ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ13−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ2300000000000000-444i−4i2-2−2i2i-121−3i321+3i321-2−1+3i32−1−3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2i2i-11i−i000000−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ13ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ2300000000000000
χ1154-4−4i4i-222i−2i1-2−1+3i32−1−3i32-121−3i321+3i32−ii−2ζ14+ζ22ζ14−2ζ222ζ14−ζ22−ζ14+2ζ222i−2i1-1−ii000000−ζ5+ζ13ζ5−ζ13−ζ5−2ζ13ζ5+2ζ132ζ5+ζ13−2ζ5−ζ13ζ7−ζ23−ζ7+ζ23−2ζ7−ζ232ζ7+ζ23ζ7+2ζ23−ζ7−2ζ2300000000000000-444i−4i2-2−2i2i-121−3i321+3i321-2−1+3i32−1−3i32i−i2ζ14−ζ22−ζ14+2ζ22−2ζ14+ζ22ζ14−2ζ22−2i2i-11i−i000000ζ5−ζ13−ζ5+ζ13ζ5+2ζ13−ζ5−2ζ13−2ζ5−ζ132ζ5+ζ13−ζ7+ζ23ζ7−ζ232ζ7+ζ23−2ζ7−ζ23−ζ7−2ζ23ζ7+2ζ2300000000000000
χ1164-4−4i4i-222i−2i44-2-2-4-422−4i4i2i2i−2i−2i−4i4i-222i−2i00000000000000000000000000000000-444i−4i2-2−2i2i-4-42244-2-24i−4i−2i−2i2i2i4i−4i2-2−2i2i00000000000000000000000000000000
χ1178888-4-4-4-4-4222-4222-4-4222222-1-1-1-100000000000000000000000000000000-8-8-8-844444-2-2-24-2-2-244-2-2-2-2-2-2111100000000000000000000000000000000
χ11888-8-8-4-444-4222-422244-2-2-2-2-2-2-1-11100000000000000000000000000000000-8-88844-4-44-2-2-24-2-2-2-4-422222211-1-100000000000000000000000000000000
χ1198-88i−8i-44−4i4i-42224-2-2-2−4i4i2i2i−2i−2i2i−2i-11−ii00000000000000000000000000000000-88−8i8i4-44i−4i4-2-2-2-42224i−4i−2i−2i2i2i−2i2i1-1i−i00000000000000000000000000000000
χ1208-8−8i8i-444i−4i-42224-2-2-24i−4i−2i−2i2i2i−2i2i-11i−i00000000000000000000000000000000-888i−8i4-4−4i4i4-2-2-2-4222−4i4i2i2i−2i−2i2i−2i1-1−ii00000000000000000000000000000000

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