Finite Group Databasebeta

← Group #14518840

Character table — Group #14518840

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111112222222222224444446666666699999912121212121212121212121212121212121212121212121212121212121212122727272727272727272727275454545454545454545454545454545454545454
order1233663333336666663336663333666644121212123333333333333333666666666666666622446666121212126666661212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ51-111-1-1111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1i−iii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−i11-1-1ii−i−i111-1-1-1iii−i−i−iiiii−i−i−i−i
χ61-111-1-1111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1i−iii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−ii-1-111−i−iii-1-1-1111−i−i−iiiiiiii−i−i−i−i
χ71-111-1-1111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1−ii−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii11-1-1−i−iii111-1-1-1−i−i−iiii−i−i−i−iiiii
χ81-111-1-1111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1−ii−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i-1-111ii−i−i-1-1-1111iii−i−i−i−i−i−i−iiiii
χ92222222222222222222222222-1-1-12-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002-1-1-12-1-1-1
χ102222222222222222222222222-1-1-12-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2111-2111
χ11222222222222222222222222-12-1-1-12-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000-12-1-1-12-1-1
χ12222222222222222222222222-12-1-1-12-1-1-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000001-2111-211
χ13222222222222222222222222-1-12-1-1-12-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000-1-12-1-1-12-1
χ14222222222222222222222222-1-12-1-1-12-1-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000000000000000011-2111-21
χ15222222222222222222222222-1-1-12-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000-1-1-12-1-1-12
χ16222222222222222222222222-1-1-12-1-1-12-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000111-2111-2
χ17222222222-1-1-1-1-1-1222-1-1-1-1-1-1222222220000002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1220022220000-1-1-1-1-1-100000000000000
χ18222222222-1-1-1-1-1-1222-1-1-1-1-1-1222222220000002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-200-2-2-2-2000011111100000000000000
χ19222222-1-1-1222222-1-1-1-1-1-1-1-1-122222222000000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1002200002222000000-1-1-1-1-1-100000000
χ20222222-1-1-1222222-1-1-1-1-1-1-1-1-122222222000000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100-2-20000-2-2-2-200000011111100000000
χ212-222-2-2222222-2-2-2-2-2-2222-2-2-22-1-1-1-21112i−2i2i2i−2i−2i2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000000002i−i−i−i−2iiii
χ222-222-2-2222222-2-2-2-2-2-2222-2-2-22-1-1-1-2111−2i2i−2i−2i2i2i2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000−2iiii2i−i−i−i
χ232-222-2-2222222-2-2-2-2-2-2222-2-2-2-12-1-11-2112i−2i2i2i−2i−2i-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000−i2i−i−ii−2iii
χ242-222-2-2222222-2-2-2-2-2-2222-2-2-2-12-1-11-211−2i2i−2i−2i2i2i-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000i−2iii−i2i−i−i
χ252-222-2-2222222-2-2-2-2-2-2222-2-2-2-1-12-111-212i−2i2i2i−2i−2i-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000000000−i−i2i−iii−2ii
χ262-222-2-2222222-2-2-2-2-2-2222-2-2-2-1-12-111-21−2i2i−2i−2i2i2i-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000000000ii−2ii−i−i2i−i
χ272-222-2-2222222-2-2-2-2-2-2222-2-2-2-1-1-12111-22i−2i2i2i−2i−2i-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000000000000000−i−i−i2iiii−2i
χ282-222-2-2222222-2-2-2-2-2-2222-2-2-2-1-1-12111-2−2i2i−2i−2i2i2i-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000000000000000iii−2i−i−i−i2i
χ292-222-2-2222-1-1-1111-2-2-2-1-1-11112222-2-2-2-20000002-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-21112-20022-2-20000-1-1-111100000000000000
χ302-222-2-2222-1-1-1111-2-2-2-1-1-11112222-2-2-2-20000002-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-2111-2200-2-2220000111-1-1-100000000000000
χ312-222-2-2-1-1-1222-2-2-2111-1-1-11112222-2-2-2-2000000-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-211002i−2i00002i2i−2i−2i000000−i−i−iiii00000000
χ322-222-2-2-1-1-1222-2-2-2111-1-1-11112222-2-2-2-2000000-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-21100−2i2i0000−2i−2i2i2i000000iii−i−i−i00000000
χ3333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000033−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000
χ3433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000033−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i3200000000
χ3533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i3200000000
χ3633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000-3-33+3i323−3i323+3i323−3i3200000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i3200000000
χ3733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000033−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000
χ3833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000033−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i3200000000
χ3933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000-3-33−3i323+3i323−3i323+3i320000000000000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i3200000000
χ4033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000-3-33−3i323+3i323−3i323+3i3200000000000000000000000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i3200000000
χ413-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-33+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32000000003i−3i3ζ113ζ7−3ζ11−3ζ7000000000000000000000000000000001-1i−i−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ71−1−i32−1+i32-11+i321−i32iζ11ζ7−i−ζ11−ζ700000000
χ423-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-33+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32000000003i−3i3ζ113ζ7−3ζ11−3ζ700000000000000000000000000000000-11−ii1+i321−i32−1−i32−1+i32−ζ11−ζ7ζ11ζ7-11+i321−i321−1−i32−1+i32−i−ζ11−ζ7iζ11ζ700000000
χ433-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-33+3i323−3i323−3−3i32−3+3i32-33+3i323−3i3200000000−3i3i−3ζ11−3ζ73ζ113ζ7000000000000000000000000000000001-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ7ζ11ζ71−1−i32−1+i32-11+i321−i32−i−ζ11−ζ7iζ11ζ700000000
χ443-3−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-33+3i323−3i323−3−3i32−3+3i32-33+3i323−3i3200000000−3i3i−3ζ11−3ζ73ζ113ζ700000000000000000000000000000000-11i−i1+i321−i32−1−i32−1+i32ζ11ζ7−ζ11−ζ7-11+i321−i321−1−i32−1+i32iζ11ζ7−i−ζ11−ζ700000000
χ453-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-33−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32000000003i−3i3ζ73ζ11−3ζ7−3ζ11000000000000000000000000000000001-1i−i−1+i32−1−i321−i321+i32ζ7ζ11−ζ7−ζ111−1+i32−1−i32-11−i321+i32iζ7ζ11−i−ζ7−ζ1100000000
χ463-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-33−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32000000003i−3i3ζ73ζ11−3ζ7−3ζ1100000000000000000000000000000000-11−ii1−i321+i32−1+i32−1−i32−ζ7−ζ11ζ7ζ11-11−i321+i321−1+i32−1−i32−i−ζ7−ζ11iζ7ζ1100000000
χ473-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-33−3i323+3i323−3+3i32−3−3i32-33−3i323+3i3200000000−3i3i−3ζ7−3ζ113ζ73ζ11000000000000000000000000000000001-1−ii−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ111−1+i32−1−i32-11−i321+i32−i−ζ7−ζ11iζ7ζ1100000000
χ483-3−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-33−3i323+3i323−3+3i32−3−3i32-33−3i323+3i3200000000−3i3i−3ζ7−3ζ113ζ73ζ1100000000000000000000000000000000-11i−i1−i321+i32−1+i32−1−i32ζ7ζ11−ζ7−ζ11-11−i321+i321−1+i32−1−i32iζ7ζ11−i−ζ7−ζ1100000000
χ49444444444-2-2-2-2-2-2444-2-2-2-2-2-24-2-2-24-2-2-20000004-2-2-2-2111-2111-21114-2-2-2-2111-2111-211100000000000000000000000000000000
χ50444444444-2-2-2-2-2-2444-2-2-2-2-2-2-24-2-2-24-2-2000000-21114-2-2-2-2111-2111-21114-2-2-2-2111-211100000000000000000000000000000000
χ51444444444-2-2-2-2-2-2444-2-2-2-2-2-2-2-24-2-2-24-2000000-2111-21114-2-2-2-2111-2111-21114-2-2-2-211100000000000000000000000000000000
χ52444444444-2-2-2-2-2-2444-2-2-2-2-2-2-2-2-24-2-2-24000000-2111-2111-21114-2-2-2-2111-2111-21114-2-2-200000000000000000000000000000000
χ53444444-2-2-2444444-2-2-2-2-2-2-2-2-24-2-2-24-2-2-2000000-24-2-21-2111-2111-211-24-2-21-2111-2111-21100000000000000000000000000000000
χ54444444-2-2-2444444-2-2-2-2-2-2-2-2-2-24-2-2-24-2-20000001-211-24-2-21-2111-2111-211-24-2-21-2111-21100000000000000000000000000000000
χ55444444-2-2-2444444-2-2-2-2-2-2-2-2-2-2-24-2-2-24-20000001-2111-211-24-2-21-2111-2111-211-24-2-21-21100000000000000000000000000000000
χ56444444-2-2-2444444-2-2-2-2-2-2-2-2-2-2-2-24-2-2-240000001-2111-2111-211-24-2-21-2111-2111-211-24-2-200000000000000000000000000000000
χ57444444-2-2-2-2-2-2-2-2-2-2-2-211111144444444000000-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000000000000000
χ58444444-2-2-2-2-2-2-2-2-2-2-2-21111114-2-2-24-2-2-2000000-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3200000000000000000000000000000000
χ59444444-2-2-2-2-2-2-2-2-2-2-2-21111114-2-2-24-2-2-2000000-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3200000000000000000000000000000000
χ60444444-2-2-2-2-2-2-2-2-2-2-2-2111111-24-2-2-24-2-200000011−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i3200000000000000000000000000000000
χ61444444-2-2-2-2-2-2-2-2-2-2-2-2111111-24-2-2-24-2-200000011−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i3200000000000000000000000000000000
χ62444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-24-2-2-24-200000011−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i3200000000000000000000000000000000
χ63444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-24-2-2-24-200000011−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i3200000000000000000000000000000000
χ64444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-24-2-2-2400000011−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-21100000000000000000000000000000000
χ65444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-24-2-2-2400000011−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-21100000000000000000000000000000000
χ664-444-4-4444-2-2-2222-4-4-4-2-2-22224-2-2-2-42220000004-2-2-2-2111-2111-2111-42222-1-1-12-1-1-12-1-1-100000000000000000000000000000000
χ674-444-4-4444-2-2-2222-4-4-4-2-2-2222-24-2-22-422000000-21114-2-2-2-2111-21112-1-1-1-42222-1-1-12-1-1-100000000000000000000000000000000
χ684-444-4-4444-2-2-2222-4-4-4-2-2-2222-2-24-222-42000000-2111-21114-2-2-2-21112-1-1-12-1-1-1-42222-1-1-100000000000000000000000000000000
χ694-444-4-4444-2-2-2222-4-4-4-2-2-2222-2-2-24222-4000000-2111-2111-21114-2-2-22-1-1-12-1-1-12-1-1-1-422200000000000000000000000000000000
χ704-444-4-4-2-2-2444-4-4-4222-2-2-22224-2-2-2-4222000000-24-2-21-2111-2111-2112-422-12-1-1-12-1-1-12-1-100000000000000000000000000000000
χ714-444-4-4-2-2-2444-4-4-4222-2-2-2222-24-2-22-4220000001-211-24-2-21-2111-211-12-1-12-422-12-1-1-12-1-100000000000000000000000000000000
χ724-444-4-4-2-2-2444-4-4-4222-2-2-2222-2-24-222-420000001-2111-211-24-2-21-211-12-1-1-12-1-12-422-12-1-100000000000000000000000000000000
χ734-444-4-4-2-2-2444-4-4-4222-2-2-2222-2-2-24222-40000001-2111-2111-211-24-2-2-12-1-1-12-1-1-12-1-12-42200000000000000000000000000000000
χ744-444-4-4-2-2-2-2-2-2222222111-1-1-14444-4-4-4-4000000-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000000000000000
χ754-444-4-4-2-2-2-2-2-2222222111-1-1-14-2-2-2-4222000000-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11+3i321−3i3200000000000000000000000000000000
χ764-444-4-4-2-2-2-2-2-2222222111-1-1-14-2-2-2-4222000000-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i32-1-11−3i321+3i3200000000000000000000000000000000
χ774-444-4-4-2-2-2-2-2-2222222111-1-1-1-24-2-22-42200000011−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32-1-11+3i321−3i3222-1-1-1-11+3i321−3i32-1-11−3i321+3i3200000000000000000000000000000000
χ784-444-4-4-2-2-2-2-2-2222222111-1-1-1-24-2-22-42200000011−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1−3i32−1+3i32-1-11−3i321+3i3222-1-1-1-11−3i321+3i32-1-11+3i321−3i3200000000000000000000000000000000
χ794-444-4-4-2-2-2-2-2-2222222111-1-1-1-2-24-222-4200000011−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i32-1-11+3i321−3i32-1-11−3i321+3i3222-1-1-1-11+3i321−3i3200000000000000000000000000000000
χ804-444-4-4-2-2-2-2-2-2222222111-1-1-1-2-24-222-4200000011−1+3i32−1−3i3211−1−3i32−1+3i32-2-21111−1+3i32−1−3i32-1-11−3i321+3i32-1-11+3i321−3i3222-1-1-1-11−3i321+3i3200000000000000000000000000000000
χ814-444-4-4-2-2-2-2-2-2222222111-1-1-1-2-2-24222-400000011−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-211-1-11+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i3222-1-100000000000000000000000000000000
χ824-444-4-4-2-2-2-2-2-2222222111-1-1-1-2-2-24222-400000011−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-211-1-11−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i3222-1-100000000000000000000000000000000
χ8366−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i3200000000000000000000000000000000000000000000002200−1−i3−1+i3−1−i3−1+i30000-11+i321−i32-11+i321−i3200000000000000
χ8466−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i320000000000000000000000000000000000000000000000-2-2001+i31−i31+i31−i300001−1−i32−1+i321−1−i32−1+i3200000000000000
χ8566−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000000000000000000220000−1−i3−1+i3−1−i3−1+i3000000-11+i321−i32-11+i321−i3200000000
χ8666−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000000000000000000-2-200001+i31−i31+i31−i30000001−1−i32−1+i321−1−i32−1+i3200000000
χ8766−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i3200000000000000000000000000000000000000000000002200−1+i3−1−i3−1+i3−1−i30000-11−i321+i32-11−i321+i3200000000000000
χ8866−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i320000000000000000000000000000000000000000000000-2-2001−i31+i31−i31+i300001−1+i32−1−i321−1+i32−1−i3200000000000000
χ8966−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000000220000−1+i3−1−i3−1+i3−1−i3000000-11−i321+i32-11−i321+i3200000000
χ9066−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000000-2-200001−i31+i31−i31+i30000001−1+i32−1−i321−1+i32−1−i3200000000
χ916-6−3−3i3−3+3i33+3i33−3i36−3−3i3−3+3i3-33+3i323−3i323−3−3i32−3+3i32-63+3i33−3i3-33+3i323−3i323−3−3i32−3+3i3200000000000000000000000000000000000000000000002-200−1−i3−1+i31+i31−i30000-11+i321−i321−1−i32−1+i3200000000000000
χ926-6−3−3i3−3+3i33+3i33−3i36−3−3i3−3+3i3-33+3i323−3i323−3−3i32−3+3i32-63+3i33−3i3-33+3i323−3i323−3−3i32−3+3i320000000000000000000000000000000000000000000000-22001+i31−i3−1−i3−1+i300001−1−i32−1+i32-11+i321−i3200000000000000
χ936-6−3−3i3−3+3i33+3i33−3i3-33+3i323−3i326−3−3i3−3+3i3-63+3i33−3i33−3−3i32−3+3i32-33+3i323−3i323−3−3i32−3+3i320000000000000000000000000000000000000000000000002i−2i00002ζ112ζ7−2ζ11−2ζ7000000−i−ζ11−ζ7iζ11ζ700000000
χ946-6−3−3i3−3+3i33+3i33−3i3-33+3i323−3i326−3−3i3−3+3i3-63+3i33−3i33−3−3i32−3+3i32-33+3i323−3i323−3−3i32−3+3i32000000000000000000000000000000000000000000000000−2i2i0000−2ζ11−2ζ72ζ112ζ7000000iζ11ζ7−i−ζ11−ζ700000000
χ956-6−3+3i3−3−3i33−3i33+3i36−3+3i3−3−3i3-33−3i323+3i323−3+3i32−3−3i32-63−3i33+3i3-33−3i323+3i323−3+3i32−3−3i3200000000000000000000000000000000000000000000002-200−1+i3−1−i31−i31+i30000-11−i321+i321−1+i32−1−i3200000000000000
χ966-6−3+3i3−3−3i33−3i33+3i36−3+3i3−3−3i3-33−3i323+3i323−3+3i32−3−3i32-63−3i33+3i3-33−3i323+3i323−3+3i32−3−3i320000000000000000000000000000000000000000000000-22001−i31+i3−1+i3−1−i300001−1+i32−1−i32-11−i321+i3200000000000000
χ976-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i326−3+3i3−3−3i3-63−3i33+3i33−3+3i32−3−3i32-33−3i323+3i323−3+3i32−3−3i320000000000000000000000000000000000000000000000002i−2i00002ζ72ζ11−2ζ7−2ζ11000000−i−ζ7−ζ11iζ7ζ1100000000
χ986-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i326−3+3i3−3−3i3-63−3i33+3i33−3+3i32−3−3i32-33−3i323+3i323−3+3i32−3−3i32000000000000000000000000000000000000000000000000−2i2i0000−2ζ7−2ζ112ζ72ζ11000000iζ7ζ11−i−ζ7−ζ1100000000
χ991212−6−6i3−6+6i3−6−6i3−6+6i3-63+3i33−3i3-63+3i33−3i3-63+3i33−3i3-63+3i33−3i33−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001212−6+6i3−6−6i3−6+6i3−6−6i3-63−3i33+3i3-63−3i33+3i3-63−3i33+3i3-63−3i33+3i33−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-12−6−6i3−6+6i36+6i36−6i3-63+3i33−3i3-63+3i33−3i36−3−3i3−3+3i36−3−3i3−3+3i33−3−3i32−3+3i32-33+3i323−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-12−6+6i3−6−6i36−6i36+6i3-63−3i33+3i3-63−3i33+3i36−3+3i3−3−3i36−3+3i3−3−3i33−3+3i32−3−3i32-33−3i323+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.