Finite Group Databasebeta

← Group #11714616

Character table — Group #11714616

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111122333366888888881212121212121212111122333366888888881212121212121212111122333366888888881212121212121212111122333366888888881212121212121212
order1244882244883612122424242424448888224488224488661212242424242444888822448822448866121224242424244488882244882244886612122424242424448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ41111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ511-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i11-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i11-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i11-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i
χ611-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii11-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii11-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii11-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii
χ711-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii11-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii11-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii11-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii
χ811-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i11-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i11-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i11-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i
χ9222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000
χ102222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-1111100000000
χ1122-2-22i−2i22-2-22i−2i-1-111−i−iii0000000022-2-22i−2i22-2-22i−2i-1-111−i−iii0000000022-2-22i−2i22-2-22i−2i-1-111−i−iii0000000022-2-22i−2i22-2-22i−2i-1-111−i−iii00000000
χ1222-2-2−2i2i22-2-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000
χ132-22i−2i002-22i−2i002-22i−2i0000000000002-22i−2i002-22i−2i002-22i−2i0000000000002-22i−2i002-22i−2i002-22i−2i0000000000002-22i−2i002-22i−2i002-22i−2i000000000000
χ142-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000002-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000002-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000002-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ152-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000002-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000002-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000002-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ162-2−2i2i002-2−2i2i002-2−2i2i0000000000002-2−2i2i002-2−2i2i002-2−2i2i0000000000002-2−2i2i002-2−2i2i002-2−2i2i0000000000002-2−2i2i002-2−2i2i002-2−2i2i000000000000
χ172-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000002-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000002-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000002-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ182-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000002-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000002-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000002-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ19333333-1-1-1-1-1-10000000011-1-111-1-1333333-1-1-1-1-1-10000000011-1-111-1-1333333-1-1-1-1-1-10000000011-1-111-1-1333333-1-1-1-1-1-10000000011-1-111-1-1
χ20333333-1-1-1-1-1-100000000-1-111-1-111333333-1-1-1-1-1-100000000-1-111-1-111333333-1-1-1-1-1-100000000-1-111-1-111333333-1-1-1-1-1-100000000-1-111-1-111
χ213333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-111
χ223333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-1
χ2333-3-33i−3i-1-111−ii000000001-1-11i−i−ii33-3-33i−3i-1-111−ii000000001-1-11i−i−ii33-3-33i−3i-1-111−ii000000001-1-11i−i−ii33-3-33i−3i-1-111−ii000000001-1-11i−i−ii
χ2433-3-33i−3i-1-111−ii00000000-111-1−iii−i33-3-33i−3i-1-111−ii00000000-111-1−iii−i33-3-33i−3i-1-111−ii00000000-111-1−iii−i33-3-33i−3i-1-111−ii00000000-111-1−iii−i
χ2533-3-3−3i3i-1-111i−i000000001-1-11−iii−i33-3-3−3i3i-1-111i−i000000001-1-11−iii−i33-3-3−3i3i-1-111i−i000000001-1-11−iii−i33-3-3−3i3i-1-111i−i000000001-1-11−iii−i
χ2633-3-3−3i3i-1-111i−i00000000-111-1i−i−ii33-3-3−3i3i-1-111i−i00000000-111-1i−i−ii33-3-3−3i3i-1-111i−i00000000-111-1i−i−ii33-3-3−3i3i-1-111i−i00000000-111-1i−i−ii
χ276-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i000000000000000000
χ286-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i000000000000000000
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ321111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ3311-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i-1-111−ii-1-111−ii-1-111−i−iii-11-11−ii−ii11-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i-1-111−ii-1-111−ii-1-111−i−iii-11-11−ii−ii
χ3411-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii-1-111−ii-1-111−ii-1-111−i−iii1-11-1i−ii−i11-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii-1-111−ii-1-111−ii-1-111−i−iii1-11-1i−ii−i
χ3511-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii-1-111i−i-1-111i−i-1-111ii−i−i-11-11i−ii−i11-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii-1-111i−i-1-111i−i-1-111ii−i−i-11-11i−ii−i
χ3611-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i-1-111i−i-1-111i−i-1-111ii−i−i1-11-1−ii−ii11-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i-1-111i−i-1-111i−i-1-111ii−i−i1-11-1−ii−ii
χ37222222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000222222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000
χ382222-2-22222-2-2-1-1-1-1111100000000-2-2-2-222-2-2-2-2221111-1-1-1-1000000002222-2-22222-2-2-1-1-1-1111100000000-2-2-2-222-2-2-2-2221111-1-1-1-100000000
χ3922-2-22i−2i22-2-22i−2i-1-111−i−iii00000000-2-222−2i2i-2-222−2i2i11-1-1ii−i−i0000000022-2-22i−2i22-2-22i−2i-1-111−i−iii00000000-2-222−2i2i-2-222−2i2i11-1-1ii−i−i00000000
χ4022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000-2-2222i−2i-2-2222i−2i11-1-1−i−iii0000000022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000-2-2222i−2i-2-2222i−2i11-1-1−i−iii00000000
χ412-22i−2i002-22i−2i002-22i−2i000000000000-22−2i2i00-22−2i2i00-22−2i2i0000000000002-22i−2i002-22i−2i002-22i−2i000000000000-22−2i2i00-22−2i2i00-22−2i2i000000000000
χ422-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000-22−2i2i00-22−2i2i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000002-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000-22−2i2i00-22−2i2i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ432-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000-22−2i2i00-22−2i2i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000002-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000-22−2i2i00-22−2i2i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ442-2−2i2i002-2−2i2i002-2−2i2i000000000000-222i−2i00-222i−2i00-222i−2i0000000000002-2−2i2i002-2−2i2i002-2−2i2i000000000000-222i−2i00-222i−2i00-222i−2i000000000000
χ452-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000-222i−2i00-222i−2i001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000002-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000-222i−2i00-222i−2i001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ462-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000-222i−2i00-222i−2i001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000002-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000-222i−2i00-222i−2i001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ47333333-1-1-1-1-1-10000000011-1-111-1-1-3-3-3-3-3-311111100000000-1-111-1-111333333-1-1-1-1-1-10000000011-1-111-1-1-3-3-3-3-3-311111100000000-1-111-1-111
χ48333333-1-1-1-1-1-100000000-1-111-1-111-3-3-3-3-3-31111110000000011-1-111-1-1333333-1-1-1-1-1-100000000-1-111-1-111-3-3-3-3-3-31111110000000011-1-111-1-1
χ493333-3-3-1-1-1-1110000000011-1-1-1-111-3-3-3-3331111-1-100000000-1-11111-1-13333-3-3-1-1-1-1110000000011-1-1-1-111-3-3-3-3331111-1-100000000-1-11111-1-1
χ503333-3-3-1-1-1-11100000000-1-11111-1-1-3-3-3-3331111-1-10000000011-1-1-1-1113333-3-3-1-1-1-11100000000-1-11111-1-1-3-3-3-3331111-1-10000000011-1-1-1-111
χ5133-3-33i−3i-1-111−ii000000001-1-11i−i−ii-3-333−3i3i11-1-1i−i00000000-111-1−iii−i33-3-33i−3i-1-111−ii000000001-1-11i−i−ii-3-333−3i3i11-1-1i−i00000000-111-1−iii−i
χ5233-3-33i−3i-1-111−ii00000000-111-1−iii−i-3-333−3i3i11-1-1i−i000000001-1-11i−i−ii33-3-33i−3i-1-111−ii00000000-111-1−iii−i-3-333−3i3i11-1-1i−i000000001-1-11i−i−ii
χ5333-3-3−3i3i-1-111i−i000000001-1-11−iii−i-3-3333i−3i11-1-1−ii00000000-111-1i−i−ii33-3-3−3i3i-1-111i−i000000001-1-11−iii−i-3-3333i−3i11-1-1−ii00000000-111-1i−i−ii
χ5433-3-3−3i3i-1-111i−i00000000-111-1i−i−ii-3-3333i−3i11-1-1−ii000000001-1-11−iii−i33-3-3−3i3i-1-111i−i00000000-111-1i−i−ii-3-3333i−3i11-1-1−ii000000001-1-11−iii−i
χ556-66i−6i00-22−2i2i000000000000000000-66−6i6i002-22i−2i0000000000000000006-66i−6i00-22−2i2i000000000000000000-66−6i6i002-22i−2i000000000000000000
χ566-6−6i6i00-222i−2i000000000000000000-666i−6i002-2−2i2i0000000000000000006-6−6i6i00-222i−2i000000000000000000-666i−6i002-2−2i2i000000000000000000
χ5711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5811111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ591111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ601111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ6111-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i11-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i-1-111−ii-1-111−ii-1-111−i−iii-11-11−ii−ii-1-111−ii-1-111−ii-1-111−i−iii-11-11−ii−ii
χ6211-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii11-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii-1-111−ii-1-111−ii-1-111−i−iii1-11-1i−ii−i-1-111−ii-1-111−ii-1-111−i−iii1-11-1i−ii−i
χ6311-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii11-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii-1-111i−i-1-111i−i-1-111ii−i−i-11-11i−ii−i-1-111i−i-1-111i−i-1-111ii−i−i-11-11i−ii−i
χ6411-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i11-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i-1-111i−i-1-111i−i-1-111ii−i−i1-11-1−ii−ii-1-111i−i-1-111i−i-1-111ii−i−i1-11-1−ii−ii
χ65222222222222-1-1-1-1-1-1-1-100000000222222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000
χ662222-2-22222-2-2-1-1-1-11111000000002222-2-22222-2-2-1-1-1-1111100000000-2-2-2-222-2-2-2-2221111-1-1-1-100000000-2-2-2-222-2-2-2-2221111-1-1-1-100000000
χ6722-2-22i−2i22-2-22i−2i-1-111−i−iii0000000022-2-22i−2i22-2-22i−2i-1-111−i−iii00000000-2-222−2i2i-2-222−2i2i11-1-1ii−i−i00000000-2-222−2i2i-2-222−2i2i11-1-1ii−i−i00000000
χ6822-2-2−2i2i22-2-2−2i2i-1-111ii−i−i0000000022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000-2-2222i−2i-2-2222i−2i11-1-1−i−iii00000000-2-2222i−2i-2-2222i−2i11-1-1−i−iii00000000
χ692-22i−2i002-22i−2i002-22i−2i0000000000002-22i−2i002-22i−2i002-22i−2i000000000000-22−2i2i00-22−2i2i00-22−2i2i000000000000-22−2i2i00-22−2i2i00-22−2i2i000000000000
χ702-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000002-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000-22−2i2i00-22−2i2i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000-22−2i2i00-22−2i2i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ712-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000002-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000-22−2i2i00-22−2i2i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000-22−2i2i00-22−2i2i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ722-2−2i2i002-2−2i2i002-2−2i2i0000000000002-2−2i2i002-2−2i2i002-2−2i2i000000000000-222i−2i00-222i−2i00-222i−2i000000000000-222i−2i00-222i−2i00-222i−2i000000000000
χ732-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000002-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000-222i−2i00-222i−2i001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000-222i−2i00-222i−2i001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ742-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000002-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000-222i−2i00-222i−2i001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000-222i−2i00-222i−2i001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ75333333-1-1-1-1-1-10000000011-1-111-1-1333333-1-1-1-1-1-10000000011-1-111-1-1-3-3-3-3-3-311111100000000-1-111-1-111-3-3-3-3-3-311111100000000-1-111-1-111
χ76333333-1-1-1-1-1-100000000-1-111-1-111333333-1-1-1-1-1-100000000-1-111-1-111-3-3-3-3-3-31111110000000011-1-111-1-1-3-3-3-3-3-31111110000000011-1-111-1-1
χ773333-3-3-1-1-1-1110000000011-1-1-1-1113333-3-3-1-1-1-1110000000011-1-1-1-111-3-3-3-3331111-1-100000000-1-11111-1-1-3-3-3-3331111-1-100000000-1-11111-1-1
χ783333-3-3-1-1-1-11100000000-1-11111-1-13333-3-3-1-1-1-11100000000-1-11111-1-1-3-3-3-3331111-1-10000000011-1-1-1-111-3-3-3-3331111-1-10000000011-1-1-1-111
χ7933-3-33i−3i-1-111−ii000000001-1-11i−i−ii33-3-33i−3i-1-111−ii000000001-1-11i−i−ii-3-333−3i3i11-1-1i−i00000000-111-1−iii−i-3-333−3i3i11-1-1i−i00000000-111-1−iii−i
χ8033-3-33i−3i-1-111−ii00000000-111-1−iii−i33-3-33i−3i-1-111−ii00000000-111-1−iii−i-3-333−3i3i11-1-1i−i000000001-1-11i−i−ii-3-333−3i3i11-1-1i−i000000001-1-11i−i−ii
χ8133-3-3−3i3i-1-111i−i000000001-1-11−iii−i33-3-3−3i3i-1-111i−i000000001-1-11−iii−i-3-3333i−3i11-1-1−ii00000000-111-1i−i−ii-3-3333i−3i11-1-1−ii00000000-111-1i−i−ii
χ8233-3-3−3i3i-1-111i−i00000000-111-1i−i−ii33-3-3−3i3i-1-111i−i00000000-111-1i−i−ii-3-3333i−3i11-1-1−ii000000001-1-11−iii−i-3-3333i−3i11-1-1−ii000000001-1-11−iii−i
χ836-66i−6i00-22−2i2i0000000000000000006-66i−6i00-22−2i2i000000000000000000-66−6i6i002-22i−2i000000000000000000-66−6i6i002-22i−2i000000000000000000
χ846-6−6i6i00-222i−2i0000000000000000006-6−6i6i00-222i−2i000000000000000000-666i−6i002-2−2i2i000000000000000000-666i−6i002-2−2i2i000000000000000000
χ851111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111
χ8611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ871111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ881111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ8911-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i-1-111−ii-1-111−ii-1-111−i−iii-11-11−ii−ii-1-111−ii-1-111−ii-1-111−i−iii-11-11−ii−ii11-1-1i−i11-1-1i−i11-1-1ii−i−i1-11-1i−ii−i
χ9011-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii-1-111−ii-1-111−ii-1-111−i−iii1-11-1i−ii−i-1-111−ii-1-111−ii-1-111−i−iii1-11-1i−ii−i11-1-1i−i11-1-1i−i11-1-1ii−i−i-11-11−ii−ii
χ9111-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii-1-111i−i-1-111i−i-1-111ii−i−i-11-11i−ii−i-1-111i−i-1-111i−i-1-111ii−i−i-11-11i−ii−i11-1-1−ii11-1-1−ii11-1-1−i−iii1-11-1−ii−ii
χ9211-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i-1-111i−i-1-111i−i-1-111ii−i−i1-11-1−ii−ii-1-111i−i-1-111i−i-1-111ii−i−i1-11-1−ii−ii11-1-1−ii11-1-1−ii11-1-1−i−iii-11-11i−ii−i
χ93222222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000-2-2-2-2-2-2-2-2-2-2-2-21111111100000000222222222222-1-1-1-1-1-1-1-100000000
χ942222-2-22222-2-2-1-1-1-1111100000000-2-2-2-222-2-2-2-2221111-1-1-1-100000000-2-2-2-222-2-2-2-2221111-1-1-1-1000000002222-2-22222-2-2-1-1-1-1111100000000
χ9522-2-22i−2i22-2-22i−2i-1-111−i−iii00000000-2-222−2i2i-2-222−2i2i11-1-1ii−i−i00000000-2-222−2i2i-2-222−2i2i11-1-1ii−i−i0000000022-2-22i−2i22-2-22i−2i-1-111−i−iii00000000
χ9622-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000-2-2222i−2i-2-2222i−2i11-1-1−i−iii00000000-2-2222i−2i-2-2222i−2i11-1-1−i−iii0000000022-2-2−2i2i22-2-2−2i2i-1-111ii−i−i00000000
χ972-22i−2i002-22i−2i002-22i−2i000000000000-22−2i2i00-22−2i2i00-22−2i2i000000000000-22−2i2i00-22−2i2i00-22−2i2i0000000000002-22i−2i002-22i−2i002-22i−2i000000000000
χ982-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000-22−2i2i00-22−2i2i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000-22−2i2i00-22−2i2i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000002-22i−2i002-22i−2i00-11−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ992-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000-22−2i2i00-22−2i2i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000-22−2i2i00-22−2i2i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000002-22i−2i002-22i−2i00-11−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ1002-2−2i2i002-2−2i2i002-2−2i2i000000000000-222i−2i00-222i−2i00-222i−2i000000000000-222i−2i00-222i−2i00-222i−2i0000000000002-2−2i2i002-2−2i2i002-2−2i2i000000000000
χ1012-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000-222i−2i00-222i−2i001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000-222i−2i00-222i−2i001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000002-2−2i2i002-2−2i2i00-11i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ1022-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000-222i−2i00-222i−2i001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000-222i−2i00-222i−2i001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000002-2−2i2i002-2−2i2i00-11i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ103333333-1-1-1-1-1-10000000011-1-111-1-1-3-3-3-3-3-311111100000000-1-111-1-111-3-3-3-3-3-311111100000000-1-111-1-111333333-1-1-1-1-1-10000000011-1-111-1-1
χ104333333-1-1-1-1-1-100000000-1-111-1-111-3-3-3-3-3-31111110000000011-1-111-1-1-3-3-3-3-3-31111110000000011-1-111-1-1333333-1-1-1-1-1-100000000-1-111-1-111
χ1053333-3-3-1-1-1-1110000000011-1-1-1-111-3-3-3-3331111-1-100000000-1-11111-1-1-3-3-3-3331111-1-100000000-1-11111-1-13333-3-3-1-1-1-1110000000011-1-1-1-111
χ1063333-3-3-1-1-1-11100000000-1-11111-1-1-3-3-3-3331111-1-10000000011-1-1-1-111-3-3-3-3331111-1-10000000011-1-1-1-1113333-3-3-1-1-1-11100000000-1-11111-1-1
χ10733-3-33i−3i-1-111−ii000000001-1-11i−i−ii-3-333−3i3i11-1-1i−i00000000-111-1−iii−i-3-333−3i3i11-1-1i−i00000000-111-1−iii−i33-3-33i−3i-1-111−ii000000001-1-11i−i−ii
χ10833-3-33i−3i-1-111−ii00000000-111-1−iii−i-3-333−3i3i11-1-1i−i000000001-1-11i−i−ii-3-333−3i3i11-1-1i−i000000001-1-11i−i−ii33-3-33i−3i-1-111−ii00000000-111-1−iii−i
χ10933-3-3−3i3i-1-111i−i000000001-1-11−iii−i-3-3333i−3i11-1-1−ii00000000-111-1i−i−ii-3-3333i−3i11-1-1−ii00000000-111-1i−i−ii33-3-3−3i3i-1-111i−i000000001-1-11−iii−i
χ11033-3-3−3i3i-1-111i−i00000000-111-1i−i−ii-3-3333i−3i11-1-1−ii000000001-1-11−iii−i-3-3333i−3i11-1-1−ii000000001-1-11−iii−i33-3-3−3i3i-1-111i−i00000000-111-1i−i−ii
χ1116-66i−6i00-22−2i2i000000000000000000-66−6i6i002-22i−2i000000000000000000-66−6i6i002-22i−2i0000000000000000006-66i−6i00-22−2i2i000000000000000000
χ1126-6−6i6i00-222i−2i000000000000000000-666i−6i002-2−2i2i000000000000000000-666i−6i002-2−2i2i0000000000000000006-6−6i6i00-222i−2i000000000000000000

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