Finite Group Databasebeta

← Group #88706

Character table — Group #88706

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size12336669991233666999123366699912336669991233666999123366699912336669991233666999
order1333999266412121236363641212266618181826641212123636364121226661818182664121212363636412122666181818266412121236363641212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1
χ311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ411−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ611−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ72222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000
χ822−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i32000
χ922−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i32000
χ106-3000000006-3000000006-3000000006-3000000006-3000000006-3000000006-3000000006-300000000
χ111111111111iiiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i1111111111iiiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i
χ121111111-1-1-1iiiiiii−i−i−i-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiii1111111-1-1-1iiiiiii−i−i−i-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiii
χ1311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32iiζ7ζ11iζ7ζ11iζ7ζ11-1-11−i321+i32-11−i321+i32-11−i321+i32−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ1111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32iiζ7ζ11iζ7ζ11iζ7ζ11-1-11−i321+i32-11−i321+i32-11−i321+i32−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11
χ1411−1+i32−1−i321−1+i32−1−i32-11−i321+i32iiζ7ζ11iζ7ζ11−i−ζ7−ζ11-1-11−i321+i32-11−i321+i321−1+i32−1−i32−i−i−ζ7−ζ11−i−ζ7−ζ11iζ7ζ1111−1+i32−1−i321−1+i32−1−i32-11−i321+i32iiζ7ζ11iζ7ζ11−i−ζ7−ζ11-1-11−i321+i32-11−i321+i321−1+i32−1−i32−i−i−ζ7−ζ11−i−ζ7−ζ11iζ7ζ11
χ1511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32iiζ11ζ7iζ11ζ7iζ11ζ7-1-11+i321−i32-11+i321−i32-11+i321−i32−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ711−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32iiζ11ζ7iζ11ζ7iζ11ζ7-1-11+i321−i32-11+i321−i32-11+i321−i32−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7
χ1611−1−i32−1+i321−1−i32−1+i32-11+i321−i32iiζ11ζ7iζ11ζ7−i−ζ11−ζ7-1-11+i321−i32-11+i321−i321−1−i32−1+i32−i−i−ζ11−ζ7−i−ζ11−ζ7iζ11ζ711−1−i32−1+i321−1−i32−1+i32-11+i321−i32iiζ11ζ7iζ11ζ7−i−ζ11−ζ7-1-11+i321−i32-11+i321−i321−1−i32−1+i32−i−i−ζ11−ζ7−i−ζ11−ζ7iζ11ζ7
χ172222-1-1-10002i2i2i2i−i−i−i000-2-2-2-2111000−2i−2i−2i−2iiii0002222-1-1-10002i2i2i2i−i−i−i000-2-2-2-2111000−2i−2i−2i−2iiii000
χ1822−1+i3−1−i3-11−i321+i320002i2i2ζ72ζ11−i−ζ7−ζ11000-2-21−i31+i31−1+i32−1−i32000−2i−2i−2ζ7−2ζ11iζ7ζ1100022−1+i3−1−i3-11−i321+i320002i2i2ζ72ζ11−i−ζ7−ζ11000-2-21−i31+i31−1+i32−1−i32000−2i−2i−2ζ7−2ζ11iζ7ζ11000
χ1922−1−i3−1+i3-11+i321−i320002i2i2ζ112ζ7−i−ζ11−ζ7000-2-21+i31−i31−1−i32−1+i32000−2i−2i−2ζ11−2ζ7iζ11ζ700022−1−i3−1+i3-11+i321−i320002i2i2ζ112ζ7−i−ζ11−ζ7000-2-21+i31−i31−1−i32−1+i32000−2i−2i−2ζ11−2ζ7iζ11ζ7000
χ206-3000000006i−3i00000000-6300000000−6i3i000000006-3000000006i−3i00000000-6300000000−6i3i00000000
χ211111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ221111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111
χ2311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i32
χ2411−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32
χ2511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i32
χ2611−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32
χ272222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-2111000
χ2822−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i32000
χ2922−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i32000
χ306-300000000-63000000006-300000000-63000000006-300000000-63000000006-300000000-6300000000
χ311111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii1111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii
χ321111111-1-1-1−i−i−i−i−i−i−iiii-1-1-1-1-1-1-1111iiiiiii−i−i−i1111111-1-1-1−i−i−i−i−i−i−iiii-1-1-1-1-1-1-1111iiiiiii−i−i−i
χ3311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11-1-11−i321+i32-11−i321+i32-11−i321+i32iiζ7ζ11iζ7ζ11iζ7ζ1111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11-1-11−i321+i32-11−i321+i32-11−i321+i32iiζ7ζ11iζ7ζ11iζ7ζ11
χ3411−1+i32−1−i321−1+i32−1−i32-11−i321+i32−i−i−ζ7−ζ11−i−ζ7−ζ11iζ7ζ11-1-11−i321+i32-11−i321+i321−1+i32−1−i32iiζ7ζ11iζ7ζ11−i−ζ7−ζ1111−1+i32−1−i321−1+i32−1−i32-11−i321+i32−i−i−ζ7−ζ11−i−ζ7−ζ11iζ7ζ11-1-11−i321+i32-11−i321+i321−1+i32−1−i32iiζ7ζ11iζ7ζ11−i−ζ7−ζ11
χ3511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7-1-11+i321−i32-11+i321−i32-11+i321−i32iiζ11ζ7iζ11ζ7iζ11ζ711−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7-1-11+i321−i32-11+i321−i32-11+i321−i32iiζ11ζ7iζ11ζ7iζ11ζ7
χ3611−1−i32−1+i321−1−i32−1+i32-11+i321−i32−i−i−ζ11−ζ7−i−ζ11−ζ7iζ11ζ7-1-11+i321−i32-11+i321−i321−1−i32−1+i32iiζ11ζ7iζ11ζ7−i−ζ11−ζ711−1−i32−1+i321−1−i32−1+i32-11+i321−i32−i−i−ζ11−ζ7−i−ζ11−ζ7iζ11ζ7-1-11+i321−i32-11+i321−i321−1−i32−1+i32iiζ11ζ7iζ11ζ7−i−ζ11−ζ7
χ372222-1-1-1000−2i−2i−2i−2iiii000-2-2-2-21110002i2i2i2i−i−i−i0002222-1-1-1000−2i−2i−2i−2iiii000-2-2-2-21110002i2i2i2i−i−i−i000
χ3822−1+i3−1−i3-11−i321+i32000−2i−2i−2ζ7−2ζ11iζ7ζ11000-2-21−i31+i31−1+i32−1−i320002i2i2ζ72ζ11−i−ζ7−ζ1100022−1+i3−1−i3-11−i321+i32000−2i−2i−2ζ7−2ζ11iζ7ζ11000-2-21−i31+i31−1+i32−1−i320002i2i2ζ72ζ11−i−ζ7−ζ11000
χ3922−1−i3−1+i3-11+i321−i32000−2i−2i−2ζ11−2ζ7iζ11ζ7000-2-21+i31−i31−1−i32−1+i320002i2i2ζ112ζ7−i−ζ11−ζ700022−1−i3−1+i3-11+i321−i32000−2i−2i−2ζ11−2ζ7iζ11ζ7000-2-21+i31−i31−1−i32−1+i320002i2i2ζ112ζ7−i−ζ11−ζ7000
χ406-300000000−6i3i00000000-63000000006i−3i000000006-300000000−6i3i00000000-63000000006i−3i00000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ421111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ4311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321+i32-11−i321+i32-11−i321+i32
χ4411−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32
χ4511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321−i32-11+i321−i32-11+i321−i32
χ4611−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32
χ472222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000
χ4822−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i32000-2-21−i31+i31−1+i32−1−i32000-2-21−i31+i31−1+i32−1−i32000-2-21−i31+i31−1+i32−1−i32000
χ4922−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i32000-2-21+i31−i31−1−i32−1+i32000-2-21+i31−i31−1−i32−1+i32000-2-21+i31−i31−1−i32−1+i32000
χ506-3000000006-3000000006-3000000006-300000000-6300000000-6300000000-6300000000-6300000000
χ511111111111iiiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i1111111111iiiiiiiiii
χ521111111-1-1-1iiiiiii−i−i−i-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiii-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiii1111111-1-1-1iiiiiii−i−i−i
χ5311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32iiζ7ζ11iζ7ζ11iζ7ζ11-1-11−i321+i32-11−i321+i32-11−i321+i32−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11-1-11−i321+i32-11−i321+i32-11−i321+i32−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ1111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32iiζ7ζ11iζ7ζ11iζ7ζ11
χ5411−1+i32−1−i321−1+i32−1−i32-11−i321+i32iiζ7ζ11iζ7ζ11−i−ζ7−ζ11-1-11−i321+i32-11−i321+i321−1+i32−1−i32−i−i−ζ7−ζ11−i−ζ7−ζ11iζ7ζ11-1-11−i321+i32-11−i321+i321−1+i32−1−i32−i−i−ζ7−ζ11−i−ζ7−ζ11iζ7ζ1111−1+i32−1−i321−1+i32−1−i32-11−i321+i32iiζ7ζ11iζ7ζ11−i−ζ7−ζ11
χ5511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32iiζ11ζ7iζ11ζ7iζ11ζ7-1-11+i321−i32-11+i321−i32-11+i321−i32−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7-1-11+i321−i32-11+i321−i32-11+i321−i32−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ711−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32iiζ11ζ7iζ11ζ7iζ11ζ7
χ5611−1−i32−1+i321−1−i32−1+i32-11+i321−i32iiζ11ζ7iζ11ζ7−i−ζ11−ζ7-1-11+i321−i32-11+i321−i321−1−i32−1+i32−i−i−ζ11−ζ7−i−ζ11−ζ7iζ11ζ7-1-11+i321−i32-11+i321−i321−1−i32−1+i32−i−i−ζ11−ζ7−i−ζ11−ζ7iζ11ζ711−1−i32−1+i321−1−i32−1+i32-11+i321−i32iiζ11ζ7iζ11ζ7−i−ζ11−ζ7
χ572222-1-1-10002i2i2i2i−i−i−i000-2-2-2-2111000−2i−2i−2i−2iiii000-2-2-2-2111000−2i−2i−2i−2iiii0002222-1-1-10002i2i2i2i−i−i−i000
χ5822−1+i3−1−i3-11−i321+i320002i2i2ζ72ζ11−i−ζ7−ζ11000-2-21−i31+i31−1+i32−1−i32000−2i−2i−2ζ7−2ζ11iζ7ζ11000-2-21−i31+i31−1+i32−1−i32000−2i−2i−2ζ7−2ζ11iζ7ζ1100022−1+i3−1−i3-11−i321+i320002i2i2ζ72ζ11−i−ζ7−ζ11000
χ5922−1−i3−1+i3-11+i321−i320002i2i2ζ112ζ7−i−ζ11−ζ7000-2-21+i31−i31−1−i32−1+i32000−2i−2i−2ζ11−2ζ7iζ11ζ7000-2-21+i31−i31−1−i32−1+i32000−2i−2i−2ζ11−2ζ7iζ11ζ700022−1−i3−1+i3-11+i321−i320002i2i2ζ112ζ7−i−ζ11−ζ7000
χ606-3000000006i−3i00000000-6300000000−6i3i00000000-6300000000−6i3i000000006-3000000006i−3i00000000
χ611111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111
χ621111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ6311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i32-1-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ6411−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i32-1-11−i321+i32-11−i321+i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32-1-11−i321+i32-11−i321+i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ6511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i32-1-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ6611−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i32-1-11+i321−i32-11+i321−i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-1-11+i321−i32-11+i321−i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ672222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-1000-2-2-2-21110002222-1-1-1000
χ6822−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i32000-2-21−i31+i31−1+i32−1−i3200022−1+i3−1−i3-11−i321+i32000-2-21−i31+i31−1+i32−1−i3200022−1+i3−1−i3-11−i321+i32000
χ6922−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i32000-2-21+i31−i31−1−i32−1+i3200022−1−i3−1+i3-11+i321−i32000-2-21+i31−i31−1−i32−1+i3200022−1−i3−1+i3-11+i321−i32000
χ706-300000000-63000000006-300000000-6300000000-63000000006-300000000-63000000006-300000000
χ711111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii-1-1-1-1-1-1-1-1-1-1iiiiiiiiii1111111111−i−i−i−i−i−i−i−i−i−i
χ721111111-1-1-1−i−i−i−i−i−i−iiii-1-1-1-1-1-1-1111iiiiiii−i−i−i-1-1-1-1-1-1-1111iiiiiii−i−i−i1111111-1-1-1−i−i−i−i−i−i−iiii
χ7311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11-1-11−i321+i32-11−i321+i32-11−i321+i32iiζ7ζ11iζ7ζ11iζ7ζ11-1-11−i321+i32-11−i321+i32-11−i321+i32iiζ7ζ11iζ7ζ11iζ7ζ1111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−i−i−ζ7−ζ11−i−ζ7−ζ11−i−ζ7−ζ11
χ7411−1+i32−1−i321−1+i32−1−i32-11−i321+i32−i−i−ζ7−ζ11−i−ζ7−ζ11iζ7ζ11-1-11−i321+i32-11−i321+i321−1+i32−1−i32iiζ7ζ11iζ7ζ11−i−ζ7−ζ11-1-11−i321+i32-11−i321+i321−1+i32−1−i32iiζ7ζ11iζ7ζ11−i−ζ7−ζ1111−1+i32−1−i321−1+i32−1−i32-11−i321+i32−i−i−ζ7−ζ11−i−ζ7−ζ11iζ7ζ11
χ7511−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7-1-11+i321−i32-11+i321−i32-11+i321−i32iiζ11ζ7iζ11ζ7iζ11ζ7-1-11+i321−i32-11+i321−i32-11+i321−i32iiζ11ζ7iζ11ζ7iζ11ζ711−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−i−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7
χ7611−1−i32−1+i321−1−i32−1+i32-11+i321−i32−i−i−ζ11−ζ7−i−ζ11−ζ7iζ11ζ7-1-11+i321−i32-11+i321−i321−1−i32−1+i32iiζ11ζ7iζ11ζ7−i−ζ11−ζ7-1-11+i321−i32-11+i321−i321−1−i32−1+i32iiζ11ζ7iζ11ζ7−i−ζ11−ζ711−1−i32−1+i321−1−i32−1+i32-11+i321−i32−i−i−ζ11−ζ7−i−ζ11−ζ7iζ11ζ7
χ772222-1-1-1000−2i−2i−2i−2iiii000-2-2-2-21110002i2i2i2i−i−i−i000-2-2-2-21110002i2i2i2i−i−i−i0002222-1-1-1000−2i−2i−2i−2iiii000
χ7822−1+i3−1−i3-11−i321+i32000−2i−2i−2ζ7−2ζ11iζ7ζ11000-2-21−i31+i31−1+i32−1−i320002i2i2ζ72ζ11−i−ζ7−ζ11000-2-21−i31+i31−1+i32−1−i320002i2i2ζ72ζ11−i−ζ7−ζ1100022−1+i3−1−i3-11−i321+i32000−2i−2i−2ζ7−2ζ11iζ7ζ11000
χ7922−1−i3−1+i3-11+i321−i32000−2i−2i−2ζ11−2ζ7iζ11ζ7000-2-21+i31−i31−1−i32−1+i320002i2i2ζ112ζ7−i−ζ11−ζ7000-2-21+i31−i31−1−i32−1+i320002i2i2ζ112ζ7−i−ζ11−ζ700022−1−i3−1+i3-11+i321−i32000−2i−2i−2ζ11−2ζ7iζ11ζ7000
χ806-300000000−6i3i00000000-63000000006i−3i00000000-63000000006i−3i000000006-300000000−6i3i00000000

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