Finite Group Databasebeta

← Group #72239533

Character table — Group #72239533

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size113333333333446666666666666666121212121212121212122424242424242424242424242424242424242424242424242424242424242424256256256256256256256256
order122244444444444444444444444444224444444488888888888888888888888888888888336612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-200000000000000000000000000000000-1-1-1-11111
χ5222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000000000001+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ6222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000000000001−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ73333333333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ833333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1331111111111111111−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i00000000
χ933333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1331111111111111111−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i00000000
χ1033333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i111111111111111100000000
χ1133333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i111111111111111100000000
χ123333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-11111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i00000000
χ133333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-11111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i00000000
χ143333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i1111−1+2i−1+2i−1−2i−1−2i111100000000
χ153333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i1111−1−2i−1−2i−1+2i−1+2i111100000000
χ163333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111−1+2i−1+2i11−1−2i−1−2i−1−2i−1−2i11−1+2i−1+2i1111−1−2i−1−2i11−1+2i−1+2i−1+2i−1+2i11−1−2i−1−2i1100000000
χ173333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-111−1−2i−1−2i11−1+2i−1+2i−1+2i−1+2i11−1−2i−1−2i1111−1+2i−1+2i11−1−2i−1−2i−1−2i−1−2i11−1+2i−1+2i1100000000
χ183333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1+2i−1+2i11−1−2i−1−2i1111−1−2i−1−2i11−1+2i−1+2i−1−2i−1−2i11−1+2i−1+2i1111−1+2i−1+2i11−1−2i−1−2i00000000
χ193333-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−1−2i−1−2i11−1+2i−1+2i1111−1+2i−1+2i11−1−2i−1−2i−1+2i−1+2i11−1−2i−1−2i1111−1−2i−1−2i11−1+2i−1+2i00000000
χ203333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-133-1-1-1-111−1+2i−1+2i−1−2i−1−2i11−1−2i−1−2i1111−1+2i−1+2i−1+2i−1+2i1111−1−2i−1−2i11−1−2i−1−2i−1+2i−1+2i1100000000
χ213333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-133-1-1-1-111−1−2i−1−2i−1+2i−1+2i11−1+2i−1+2i1111−1−2i−1−2i−1−2i−1−2i1111−1+2i−1+2i11−1+2i−1+2i−1−2i−1−2i1100000000
χ223333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-133-1-1-1-1−1+2i−1+2i1111−1−2i−1−2i11−1−2i−1−2i−1+2i−1+2i1111−1+2i−1+2i−1−2i−1−2i11−1−2i−1−2i1111−1+2i−1+2i00000000
χ233333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-133-1-1-1-1−1−2i−1−2i1111−1+2i−1+2i11−1+2i−1+2i−1−2i−1−2i1111−1−2i−1−2i−1+2i−1+2i11−1+2i−1+2i1111−1−2i−1−2i00000000
χ243333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-133-1-133-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-133-1-1-1-133-1-100000000
χ253333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-133-1-1-1-133-1-1-1-133-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-13300000000
χ263333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-1-1-133-1-133-1-1-1-133-1-1-1-1-1-100000000
χ273333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-133-1-1-1-1-1-1-1-133-1-1-1-133-1-133-1-1-1-1-1-1-1-133-1-1-1-100000000
χ284-44-44444-4-4-4-44i−4i0000000000000000000000004i−4i0000000000000000000000000000000011-1-1i−ii−i
χ294-44-44444-4-4-4-44i−4i0000000000000000000000004i−4i00000000000000000000000000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7
χ304-44-44444-4-4-4-44i−4i0000000000000000000000004i−4i00000000000000000000000000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11
χ314-44-44444-4-4-4-4−4i4i000000000000000000000000−4i4i0000000000000000000000000000000011-1-1−ii−ii
χ324-44-44444-4-4-4-4−4i4i000000000000000000000000−4i4i00000000000000000000000000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7
χ334-44-44444-4-4-4-4−4i4i000000000000000000000000−4i4i00000000000000000000000000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11
χ34666666666666-6-62222222222222222-2-2-2-2-2-2-2-2-6-60000000000000000000000000000000000000000
χ356666-2-2-2-2-2-2-2-2-6-6222222222222-6-6-6-6-2-2-2-2-2-266220000000000000000000000000000000000000000
χ366666-2-2-2-2-2-2-2-2-6-622222222-6-6-6-62222-2-2-2-266-2-2220000000000000000000000000000000000000000
χ376666-2-2-2-2-2-2-2-2-6-62222-6-6-6-622222222-2-266-2-2-2-2220000000000000000000000000000000000000000
χ386666-2-2-2-2-2-2-2-2-6-6-6-6-6-622222222222266-2-2-2-2-2-2220000000000000000000000000000000000000000
χ396-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ406-6-2222−2+4i−2−4i-2-22+4i2−4i00004i−4i004-42+2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2-22-22i−2i2i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ416-6-2222−2+4i−2−4i-2-22+4i2−4i0000−4i4i00-44−2−2i−2+2i2−2i2+2i−2−2i−2+2i2−2i2+2i2-22-22i−2i2i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ426-6-2222−2+4i−2−4i-2-22+4i2−4i0000−4i4i00-44−2−2i−2+2i2−2i2+2i−2−2i−2+2i2−2i2+2i2-22-22i−2i2i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ436-6-2222−2+4i−2−4i-2-22+4i2−4i004i−4i004-4002−2i2+2i−2−2i−2+2i−2+2i−2−2i2+2i2−2i-22-22−2i2i−2i2i001−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i00000000
χ446-6-2222−2+4i−2−4i-2-22+4i2−4i004i−4i004-4002−2i2+2i−2−2i−2+2i−2+2i−2−2i2+2i2−2i-22-22−2i2i−2i2i00−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i00000000
χ456-6-2222−2+4i−2−4i-2-22+4i2−4i00−4i4i00-4400−2+2i−2−2i2+2i2−2i2−2i2+2i−2−2i−2+2i-22-22−2i2i−2i2i001−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i1+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i00000000
χ466-6-2222−2+4i−2−4i-2-22+4i2−4i00−4i4i00-4400−2+2i−2−2i2+2i2−2i2−2i2+2i−2−2i−2+2i-22-22−2i2i−2i2i00−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i00000000
χ476-6-2222−2−4i−2+4i-2-22−4i2+4i00004i−4i00-44−2+2i−2−2i2+2i2−2i−2+2i−2−2i2+2i2−2i2-22-2−2i2i−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ486-6-2222−2−4i−2+4i-2-22−4i2+4i00004i−4i00-44−2+2i−2−2i2+2i2−2i−2+2i−2−2i2+2i2−2i2-22-2−2i2i−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ496-6-2222−2−4i−2+4i-2-22−4i2+4i0000−4i4i004-42−2i2+2i−2−2i−2+2i2−2i2+2i−2−2i−2+2i2-22-2−2i2i−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ506-6-2222−2−4i−2+4i-2-22−4i2+4i0000−4i4i004-42−2i2+2i−2−2i−2+2i2−2i2+2i−2−2i−2+2i2-22-2−2i2i−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ516-6-2222−2−4i−2+4i-2-22−4i2+4i004i−4i00-4400−2−2i−2+2i2−2i2+2i2+2i2−2i−2+2i−2−2i-22-222i−2i2i−2i001+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i1−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i00000000
χ526-6-2222−2−4i−2+4i-2-22−4i2+4i004i−4i00-4400−2−2i−2+2i2−2i2+2i2+2i2−2i−2+2i−2−2i-22-222i−2i2i−2i00−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i00000000
χ536-6-2222−2−4i−2+4i-2-22−4i2+4i00−4i4i004-4002+2i2−2i−2+2i−2−2i−2−2i−2+2i2−2i2+2i-22-222i−2i2i−2i001+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i00000000
χ546-6-2222−2−4i−2+4i-2-22−4i2+4i00−4i4i004-4002+2i2−2i−2+2i−2−2i−2−2i−2+2i2−2i2+2i-22-222i−2i2i−2i00−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i00000000
χ556-6-22−2+4i−2−4i222+4i2−4i-2-200004i−4i4-400−2−2i−2+2i2−2i2+2i2−2i2+2i−2−2i−2+2i2-2-222i−2i−2i2i001−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000
χ566-6-22−2+4i−2−4i222+4i2−4i-2-200004i−4i4-400−2−2i−2+2i2−2i2+2i2−2i2+2i−2−2i−2+2i2-2-222i−2i−2i2i00−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000
χ576-6-22−2+4i−2−4i222+4i2−4i-2-20000−4i4i-44002+2i2−2i−2+2i−2−2i−2+2i−2−2i2+2i2−2i2-2-222i−2i−2i2i001−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000
χ586-6-22−2+4i−2−4i222+4i2−4i-2-20000−4i4i-44002+2i2−2i−2+2i−2−2i−2+2i−2−2i2+2i2−2i2-2-222i−2i−2i2i00−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000
χ596-6-22−2+4i−2−4i222+4i2−4i-2-2004i−4i00004-4−2+2i−2−2i2+2i2−2i−2−2i−2+2i2−2i2+2i-222-2−2i2i2i−2i001+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000
χ606-6-22−2+4i−2−4i222+4i2−4i-2-2004i−4i00004-4−2+2i−2−2i2+2i2−2i−2−2i−2+2i2−2i2+2i-222-2−2i2i2i−2i00−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000
χ616-6-22−2+4i−2−4i222+4i2−4i-2-200−4i4i0000-442−2i2+2i−2−2i−2+2i2+2i2−2i−2+2i−2−2i-222-2−2i2i2i−2i001+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000
χ626-6-22−2+4i−2−4i222+4i2−4i-2-200−4i4i0000-442−2i2+2i−2−2i−2+2i2+2i2−2i−2+2i−2−2i-222-2−2i2i2i−2i00−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000
χ636-6-22−2−4i−2+4i222−4i2+4i-2-200004i−4i-44002−2i2+2i−2−2i−2+2i−2−2i−2+2i2−2i2+2i2-2-22−2i2i2i−2i001+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000
χ646-6-22−2−4i−2+4i222−4i2+4i-2-200004i−4i-44002−2i2+2i−2−2i−2+2i−2−2i−2+2i2−2i2+2i2-2-22−2i2i2i−2i00−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000
χ656-6-22−2−4i−2+4i222−4i2+4i-2-20000−4i4i4-400−2+2i−2−2i2+2i2−2i2+2i2−2i−2+2i−2−2i2-2-22−2i2i2i−2i001+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000
χ666-6-22−2−4i−2+4i222−4i2+4i-2-20000−4i4i4-400−2+2i−2−2i2+2i2−2i2+2i2−2i−2+2i−2−2i2-2-22−2i2i2i−2i00−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000
χ676-6-22−2−4i−2+4i222−4i2+4i-2-2004i−4i0000-442+2i2−2i−2+2i−2−2i2−2i2+2i−2−2i−2+2i-222-22i−2i−2i2i001−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000
χ686-6-22−2−4i−2+4i222−4i2+4i-2-2004i−4i0000-442+2i2−2i−2+2i−2−2i2−2i2+2i−2−2i−2+2i-222-22i−2i−2i2i00−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000
χ696-6-22−2−4i−2+4i222−4i2+4i-2-200−4i4i00004-4−2−2i−2+2i2−2i2+2i−2+2i−2−2i2+2i2−2i-222-22i−2i−2i2i001−i−1+i−1−i1+i1+i−1−i−1+i1−i−1+i1−i1+i−1−i−1−i1+i1−i−1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000
χ706-6-22−2−4i−2+4i222−4i2+4i-2-200−4i4i00004-4−2−2i−2+2i2−2i2+2i−2+2i−2−2i2+2i2−2i-222-22i−2i−2i2i00−1+i1−i1+i−1−i−1−i1+i1−i−1+i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i1+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000
χ711212-4-444−4+8i−4−8i44−4−8i−4+8i0044-4-4-4-444−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ721212-4-444−4+8i−4−8i44−4−8i−4+8i00-4-44444-4-44i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000
χ731212-4-444−4−8i−4+8i44−4+8i−4−8i0044-4-4-4-4444i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000
χ741212-4-444−4−8i−4+8i44−4+8i−4−8i00-4-44444-4-4−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ751212-4-4−4+8i−4−8i44−4−8i−4+8i440044-4-444-4-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000
χ761212-4-4−4+8i−4−8i44−4−8i−4+8i4400-4-444-4-4444i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ771212-4-4−4−8i−4+8i44−4+8i−4−8i440044-4-444-4-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ781212-4-4−4−8i−4+8i44−4+8i−4−8i4400-4-444-4-444−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000
χ7912-1212-12-4-4-4-4444412i−12i000000000000000000000000−4i4i0000000000000000000000000000000000000000
χ8012-1212-12-4-4-4-44444−12i12i0000000000000000000000004i−4i0000000000000000000000000000000000000000

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