Finite Group Databasebeta

← Group #72277552

Character table — Group #72277552

Order 8064.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size13466677121821212428283232363642424242728484848484848484848484848484969696961681681681681681682242242242241346667712182121242828323236364242424272848484848484848484848484848496969696168168168168168168224224224224
order12222733414661466361414666628224466661212121212122121424244121212123366222221466414661466661414666628224466661212121212124242424244121212126666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111
χ3111111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ4111111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i321-1-1-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321111-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i321-1-1-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321111-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32
χ5111111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ6111111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i321-1-1-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321111-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i321-1-1-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321111-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32
χ711-111111-1111-1-1-11-1111111-11-11-11-11-1-1-11-11-111-1-11-11-11-111-1-111-111111-1111-1-1-11-1111111-11-11-11-11-1-1-11-11-111-1-11-11-11-111-1-1
χ811-111111-1111-1-1-11-1111111-1-11-11-11-11-1-1-11-1111-1-1-11-11-1111-1-111-111111-1111-1-1-11-1111111-1-11-11-11-11-1-1-11-1111-1-1-11-11-1111-1-1
χ911-1111−1+i32−1−i32-11−1+i32−1−i32-11−i321+i321-111−1+i32−1+i32−1−i32−1−i32-11-11-1−1+i321−i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i3211-1-11-1−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i3211-1111−1+i32−1−i32-11−1+i32−1−i32-11−i321+i321-111−1+i32−1+i32−1−i32−1−i32-11-11-1−1+i321−i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i3211-1-11-1−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i32
χ1011-1111−1+i32−1−i32-11−1+i32−1−i32-11−i321+i321-111−1+i32−1+i32−1−i32−1−i32-1-11-111−i32−1+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i3211-1-1-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i3211-1111−1+i32−1−i32-11−1+i32−1−i32-11−i321+i321-111−1+i32−1+i32−1−i32−1−i32-1-11-111−i32−1+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i3211-1-1-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32
χ1111-1111−1−i32−1+i32-11−1−i32−1+i32-11+i321−i321-111−1−i32−1−i32−1+i32−1+i32-11-11-1−1−i321+i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i3211-1-11-1−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i3211-1111−1−i32−1+i32-11−1−i32−1+i32-11+i321−i321-111−1−i32−1−i32−1+i32−1+i32-11-11-1−1−i321+i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i3211-1-11-1−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i32
χ1211-1111−1−i32−1+i32-11−1−i32−1+i32-11+i321−i321-111−1−i32−1−i32−1+i32−1+i32-1-11-111+i32−1−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i3211-1-1-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i3211-1111−1−i32−1+i32-11−1−i32−1+i32-11+i321−i321-111−1−i32−1−i32−1+i32−1+i32-1-11-111+i32−1−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i3211-1-1-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32
χ13222222222222222-1-1222222200000000220000-1-1-1-1000000-1-1-1-1222222222222222-1-1222222200000000220000-1-1-1-1000000-1-1-1-1
χ14222222−1+i3−1−i322−1+i3−1−i32−1+i3−1−i3-1-122−1+i3−1+i3−1−i3−1−i3200000000−1+i3−1−i30000-1-1-1-10000001−i321+i321−i321+i32222222−1+i3−1−i322−1+i3−1−i32−1+i3−1−i3-1-122−1+i3−1+i3−1−i3−1−i3200000000−1+i3−1−i30000-1-1-1-10000001−i321+i321−i321+i32
χ15222222−1−i3−1+i322−1−i3−1+i32−1−i3−1+i3-1-122−1−i3−1−i3−1+i3−1+i3200000000−1−i3−1+i30000-1-1-1-10000001+i321−i321+i321−i32222222−1−i3−1+i322−1−i3−1+i32−1−i3−1+i3-1-122−1−i3−1−i3−1+i3−1+i3200000000−1−i3−1+i30000-1-1-1-10000001+i321−i321+i321−i32
χ1622-222222-2222-2-2-2-11222222-200000000-2-20000-1-111000000-1-11122-222222-2222-2-2-2-11222222-200000000-2-20000-1-111000000-1-111
χ1722-2222−1+i3−1−i3-22−1+i3−1−i3-21−i31+i3-1122−1+i3−1+i3−1−i3−1−i3-2000000001−i31+i30000-1-1110000001−i321+i32−1+i32−1−i3222-2222−1+i3−1−i3-22−1+i3−1−i3-21−i31+i3-1122−1+i3−1+i3−1−i3−1−i3-2000000001−i31+i30000-1-1110000001−i321+i32−1+i32−1−i32
χ1822-2222−1−i3−1+i3-22−1−i3−1+i3-21+i31−i3-1122−1−i3−1−i3−1+i3−1+i3-2000000001+i31−i30000-1-1110000001+i321−i32−1−i32−1+i3222-2222−1−i3−1+i3-22−1−i3−1+i3-21+i31−i3-1122−1−i3−1−i3−1+i3−1+i3-2000000001+i31−i30000-1-1110000001+i321−i32−1−i32−1+i32
χ19333-1-1333-133333300-1-1-1-1-1-1-111111111-1-111110000-1-1-1-1-1-10000333-1-1333-133333300-1-1-1-1-1-1-111111111-1-111110000-1-1-1-1-1-10000
χ20333-1-1333-133333300-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111110000333-1-1333-133333300-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111110000
χ21333-1-13−3+3i32−3−3i32-13−3+3i32−3−3i323−3+3i32−3−3i3200-1-11−i321−i321+i321+i32-11111−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i320000-1-11−i321−i321+i321+i320000333-1-13−3+3i32−3−3i32-13−3+3i32−3−3i323−3+3i32−3−3i3200-1-11−i321−i321+i321+i32-11111−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i320000-1-11−i321−i321+i321+i320000
χ22333-1-13−3+3i32−3−3i32-13−3+3i32−3−3i323−3+3i32−3−3i3200-1-11−i321−i321+i321+i32-1-1-1-1-11−i321−i321+i321+i321−i321+i321−i321−i321+i321+i32000011−1+i32−1+i32−1−i32−1−i320000333-1-13−3+3i32−3−3i32-13−3+3i32−3−3i323−3+3i32−3−3i3200-1-11−i321−i321+i321+i32-1-1-1-1-11−i321−i321+i321+i321−i321+i321−i321−i321+i321+i32000011−1+i32−1+i32−1−i32−1−i320000
χ23333-1-13−3−3i32−3+3i32-13−3−3i32−3+3i323−3−3i32−3+3i3200-1-11+i321+i321−i321−i32-11111−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i320000-1-11+i321+i321−i321−i320000333-1-13−3−3i32−3+3i32-13−3−3i32−3+3i323−3−3i32−3+3i3200-1-11+i321+i321−i321−i32-11111−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i320000-1-11+i321+i321−i321−i320000
χ24333-1-13−3−3i32−3+3i32-13−3−3i32−3+3i323−3−3i32−3+3i3200-1-11+i321+i321−i321−i32-1-1-1-1-11+i321+i321−i321−i321+i321−i321+i321+i321−i321−i32000011−1−i32−1−i32−1+i32−1+i320000333-1-13−3−3i32−3+3i32-13−3−3i32−3+3i323−3−3i32−3+3i3200-1-11+i321+i321−i321−i32-1-1-1-1-11+i321+i321−i321−i321+i321−i321+i321+i321−i321−i32000011−1−i32−1−i32−1+i32−1+i320000
χ2533-3-1-13331333-3-3-300-1-1-1-1-1-111-11-11-11-1111-11-10000-11-11-11000033-3-1-13331333-3-3-300-1-1-1-1-1-111-11-11-11-1111-11-10000-11-11-110000
χ2633-3-1-13331333-3-3-300-1-1-1-1-1-11-11-11-11-1111-11-1100001-11-11-1000033-3-1-13331333-3-3-300-1-1-1-1-1-11-11-11-11-1111-11-1100001-11-11-10000
χ2733-3-1-13−3+3i32−3−3i3213−3+3i32−3−3i32-33−3i323+3i3200-1-11−i321−i321+i321+i3211-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i320000-111−i32−1+i321+i32−1−i32000033-3-1-13−3+3i32−3−3i3213−3+3i32−3−3i32-33−3i323+3i3200-1-11−i321−i321+i321+i3211-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i320000-111−i32−1+i321+i32−1−i320000
χ2833-3-1-13−3+3i32−3−3i3213−3+3i32−3−3i32-33−3i323+3i3200-1-11−i321−i321+i321+i321-11-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i3200001-1−1+i321−i32−1−i321+i32000033-3-1-13−3+3i32−3−3i3213−3+3i32−3−3i32-33−3i323+3i3200-1-11−i321−i321+i321+i321-11-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i3200001-1−1+i321−i32−1−i321+i320000
χ2933-3-1-13−3−3i32−3+3i3213−3−3i32−3+3i32-33+3i323−3i3200-1-11+i321+i321−i321−i3211-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i320000-111+i32−1−i321−i32−1+i32000033-3-1-13−3−3i32−3+3i3213−3−3i32−3+3i32-33+3i323−3i3200-1-11+i321+i321−i321−i3211-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i320000-111+i32−1−i321−i32−1+i320000
χ3033-3-1-13−3−3i32−3+3i3213−3−3i32−3+3i32-33+3i323−3i3200-1-11+i321+i321−i321−i321-11-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i3200001-1−1−i321+i32−1+i321−i32000033-3-1-13−3−3i32−3+3i3213−3−3i32−3+3i32-33+3i323−3i3200-1-11+i321+i321−i321−i321-11-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i3200001-1−1−i321+i32−1+i321−i320000
χ3166666-1006-100-10066-1-10000-100000000000000-1-1-1-1000000000066666-1006-100-10066-1-10000-100000000000000-1-1-1-10000000000
χ3266666-1006-100-100-3-3-1-10000-1000000000000001−2121+2121−2121+212000000000066666-1006-100-100-3-3-1-10000-1000000000000001−2121+2121−2121+2120000000000
χ3366666-1006-100-100-3-3-1-10000-1000000000000001+2121−2121+2121−212000000000066666-1006-100-100-3-3-1-10000-1000000000000001+2121−2121+2121−2120000000000
χ3466-666-100-6-1001006-6-1-10000100000000000000-1-111000000000066-666-100-6-1001006-6-1-10000100000000000000-1-1110000000000
χ3566-666-100-6-100100-33-1-100001000000000000001−2121+212−1+212−1−212000000000066-666-100-6-100100-33-1-100001000000000000001−2121+212−1+212−1−2120000000000
χ3666-666-100-6-100100-33-1-100001000000000000001+2121−212−1−212−1+212000000000066-666-100-6-100100-33-1-100001000000000000001+2121−212−1−212−1+2120000000000
χ376-202-26660-2-2-2000002-22-22-20020-20202000-20-2000000000000006-202-26660-2-2-2000002-22-22-20020-20202000-20-200000000000000
χ386-202-26660-2-2-2000002-22-22-200-2020-20-2000202000000000000006-202-26660-2-2-2000002-22-22-200-2020-20-200020200000000000000
χ396-202-26−3+3i3−3−3i30-21−i31+i3000002-2−1+i31−i3−1−i31+i30020-20−1+i30−1−i30001−i301+i3000000000000006-202-26−3+3i3−3−3i30-21−i31+i3000002-2−1+i31−i3−1−i31+i30020-20−1+i30−1−i30001−i301+i300000000000000
χ406-202-26−3+3i3−3−3i30-21−i31+i3000002-2−1+i31−i3−1−i31+i300-20201−i301+i3000−1+i30−1−i3000000000000006-202-26−3+3i3−3−3i30-21−i31+i3000002-2−1+i31−i3−1−i31+i300-20201−i301+i3000−1+i30−1−i300000000000000
χ416-202-26−3−3i3−3+3i30-21+i31−i3000002-2−1−i31+i3−1+i31−i30020-20−1−i30−1+i30001+i301−i3000000000000006-202-26−3−3i3−3+3i30-21+i31−i3000002-2−1−i31+i3−1+i31−i30020-20−1−i30−1+i30001+i301−i300000000000000
χ426-202-26−3−3i3−3+3i30-21+i31−i3000002-2−1−i31+i3−1+i31−i300-20201+i301−i3000−1−i30−1+i3000000000000006-202-26−3−3i3−3+3i30-21+i31−i3000002-2−1−i31+i3−1+i31−i300-20201+i301−i3000−1−i30−1+i300000000000000
χ436-20-226660-2-2-200000-22-22-22020-20202000-20-20000000000000006-20-226660-2-2-200000-22-22-22020-20202000-20-2000000000000000
χ446-20-226660-2-2-200000-22-22-220-2020-20-20002020000000000000006-20-226660-2-2-200000-22-22-220-2020-20-2000202000000000000000
χ456-20-226−3+3i3−3−3i30-21−i31+i300000-221−i3−1+i31+i3−1−i3020-20−1+i30−1−i30001−i301+i30000000000000006-20-226−3+3i3−3−3i30-21−i31+i300000-221−i3−1+i31+i3−1−i3020-20−1+i30−1−i30001−i301+i3000000000000000
χ466-20-226−3+3i3−3−3i30-21−i31+i300000-221−i3−1+i31+i3−1−i30-20201−i301+i3000−1+i30−1−i30000000000000006-20-226−3+3i3−3−3i30-21−i31+i300000-221−i3−1+i31+i3−1−i30-20201−i301+i3000−1+i30−1−i3000000000000000
χ476-20-226−3−3i3−3+3i30-21+i31−i300000-221+i3−1−i31−i3−1+i3020-20−1−i30−1+i30001+i301−i30000000000000006-20-226−3−3i3−3+3i30-21+i31−i300000-221+i3−1−i31−i3−1+i3020-20−1−i30−1+i30001+i301−i3000000000000000
χ486-20-226−3−3i3−3+3i30-21+i31−i300000-221+i3−1−i31−i3−1+i30-20201+i301−i3000−1−i30−1+i30000000000000006-20-226−3−3i3−3+3i30-21+i31−i300000-221+i3−1−i31−i3−1+i30-20201+i301−i3000−1−i30−1+i3000000000000000
χ49181818-6-6-300-6-300-3000011000010000000000000000000000000000181818-6-6-300-6-300-3000011000010000000000000000000000000000
χ501818-18-6-6-3006-30030000110000-100000000000000000000000000001818-18-6-6-3006-30030000110000-10000000000000000000000000000
χ5136-12012-12-600020000000-2200000000000000000000000000000000036-12012-12-600020000000-22000000000000000000000000000000000
χ5236-120-1212-6000200000002-200000000000000000000000000000000036-120-1212-6000200000002-2000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1
χ55111111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-11−i321+i32-11−i321+i32-1-1-1-11−i321−i321+i321+i32-1-1-1-1-11−i321−i321+i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321−i321+i321+i321−i321+i321−i321+i32
χ56111111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i321-1-1-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321111-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-11−i321+i32-11−i321+i32-1-1-1-11−i321−i321+i321+i32-11111−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32
χ57111111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-11+i321−i32-11+i321−i32-1-1-1-11+i321+i321−i321−i32-1-1-1-1-11+i321+i321−i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321+i321−i321−i321+i321−i321+i321−i32
χ58111111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i321-1-1-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321111-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-11+i321−i32-11+i321−i32-1-1-1-11+i321+i321−i321−i32-11111−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32
χ5911-111111-1111-1-1-11-1111111-11-11-11-11-1-1-11-11-111-1-11-11-11-111-1-1-1-11-1-1-1-1-11-1-1-1111-11-1-1-1-1-1-11-11-11-11-1111-11-11-1-111-11-11-11-1-111
χ6011-111111-1111-1-1-11-1111111-1-11-11-11-11-1-1-11-1111-1-1-11-11-1111-1-1-1-11-1-1-1-1-11-1-1-1111-11-1-1-1-1-1-111-11-11-11-1111-11-1-1-1111-11-11-1-1-111
χ6111-1111−1+i32−1−i32-11−1+i32−1−i32-11−i321+i321-111−1+i32−1+i32−1−i32−1−i32-11-11-1−1+i321−i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i3211-1-11-1−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i32-1-11-1-1-11−i321+i321-11−i321+i321−1+i32−1−i32-11-1-11−i321−i321+i321+i321-11-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i32-1-111-111−i32−1+i321+i32−1−i321−i321+i32−1+i32−1−i32
χ6211-1111−1+i32−1−i32-11−1+i32−1−i32-11−i321+i321-111−1+i32−1+i32−1−i32−1−i32-1-11-111−i32−1+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i3211-1-1-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32-1-11-1-1-11−i321+i321-11−i321+i321−1+i32−1−i32-11-1-11−i321−i321+i321+i3211-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32-1-1111-1−1+i321−i32−1−i321+i321−i321+i32−1+i32−1−i32
χ6311-1111−1−i32−1+i32-11−1−i32−1+i32-11+i321−i321-111−1−i32−1−i32−1+i32−1+i32-11-11-1−1−i321+i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i3211-1-11-1−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i32-1-11-1-1-11+i321−i321-11+i321−i321−1−i32−1+i32-11-1-11+i321+i321−i321−i321-11-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i32-1-111-111+i32−1−i321−i32−1+i321+i321−i32−1−i32−1+i32
χ6411-1111−1−i32−1+i32-11−1−i32−1+i32-11+i321−i321-111−1−i32−1−i32−1+i32−1+i32-1-11-111+i32−1−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i3211-1-1-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32-1-11-1-1-11+i321−i321-11+i321−i321−1−i32−1+i32-11-1-11+i321+i321−i321−i3211-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32-1-1111-1−1−i321+i32−1+i321−i321+i321−i32−1−i32−1+i32
χ65222222222222222-1-1222222200000000220000-1-1-1-1000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211-2-2-2-2-2-2-200000000-2-2000011110000001111
χ66222222−1+i3−1−i322−1+i3−1−i32−1+i3−1−i3-1-122−1+i3−1+i3−1−i3−1−i3200000000−1+i3−1−i30000-1-1-1-10000001−i321+i321−i321+i32-2-2-2-2-2-21−i31+i3-2-21−i31+i3-21−i31+i311-2-21−i31−i31+i31+i3-2000000001−i31+i300001111000000−1+i32−1−i32−1+i32−1−i32
χ67222222−1−i3−1+i322−1−i3−1+i32−1−i3−1+i3-1-122−1−i3−1−i3−1+i3−1+i3200000000−1−i3−1+i30000-1-1-1-10000001+i321−i321+i321−i32-2-2-2-2-2-21+i31−i3-2-21+i31−i3-21+i31−i311-2-21+i31+i31−i31−i3-2000000001+i31−i300001111000000−1−i32−1+i32−1−i32−1+i32
χ6822-222222-2222-2-2-2-11222222-200000000-2-20000-1-111000000-1-111-2-22-2-2-2-2-22-2-2-22221-1-2-2-2-2-2-220000000022000011-1-100000011-1-1
χ6922-2222−1+i3−1−i3-22−1+i3−1−i3-21−i31+i3-1122−1+i3−1+i3−1−i3−1−i3-2000000001−i31+i30000-1-1110000001−i321+i32−1+i32−1−i32-2-22-2-2-21−i31+i32-21−i31+i32−1+i3−1−i31-1-2-21−i31−i31+i31+i3200000000−1+i3−1−i3000011-1-1000000−1+i32−1−i321−i321+i32
χ7022-2222−1−i3−1+i3-22−1−i3−1+i3-21+i31−i3-1122−1−i3−1−i3−1+i3−1+i3-2000000001+i31−i30000-1-1110000001+i321−i32−1−i32−1+i32-2-22-2-2-21+i31−i32-21+i31−i32−1−i3−1+i31-1-2-21+i31+i31−i31−i3200000000−1−i3−1+i3000011-1-1000000−1−i32−1+i321+i321−i32
χ71333-1-1333-133333300-1-1-1-1-1-1-111111111-1-111110000-1-1-1-1-1-10000-3-3-311-3-3-31-3-3-3-3-3-3001111111-1-1-1-1-1-1-1-111-1-1-1-100001111110000
χ72333-1-1333-133333300-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111110000-3-3-311-3-3-31-3-3-3-3-3-3001111111111111111111110000-1-1-1-1-1-10000
χ73333-1-13−3+3i32−3−3i32-13−3+3i32−3−3i323−3+3i32−3−3i3200-1-11−i321−i321+i321+i32-11111−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i320000-1-11−i321−i321+i321+i320000-3-3-311-33−3i323+3i321-33−3i323+3i32-33−3i323+3i320011−1+i32−1+i32−1−i32−1−i321-1-1-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32000011−1+i32−1+i32−1−i32−1−i320000
χ74333-1-13−3+3i32−3−3i32-13−3+3i32−3−3i323−3+3i32−3−3i3200-1-11−i321−i321+i321+i32-1-1-1-1-11−i321−i321+i321+i321−i321+i321−i321−i321+i321+i32000011−1+i32−1+i32−1−i32−1−i320000-3-3-311-33−3i323+3i321-33−3i323+3i32-33−3i323+3i320011−1+i32−1+i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i320000-1-11−i321−i321+i321+i320000
χ75333-1-13−3−3i32−3+3i32-13−3−3i32−3+3i323−3−3i32−3+3i3200-1-11+i321+i321−i321−i32-11111−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i320000-1-11+i321+i321−i321−i320000-3-3-311-33+3i323−3i321-33+3i323−3i32-33+3i323−3i320011−1−i32−1−i32−1+i32−1+i321-1-1-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32000011−1−i32−1−i32−1+i32−1+i320000
χ76333-1-13−3−3i32−3+3i32-13−3−3i32−3+3i323−3−3i32−3+3i3200-1-11+i321+i321−i321−i32-1-1-1-1-11+i321+i321−i321−i321+i321−i321+i321+i321−i321−i32000011−1−i32−1−i32−1+i32−1+i320000-3-3-311-33+3i323−3i321-33+3i323−3i32-33+3i323−3i320011−1−i32−1−i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i320000-1-11+i321+i321−i321−i320000
χ7733-3-1-13331333-3-3-300-1-1-1-1-1-111-11-11-11-1111-11-10000-11-11-110000-3-3311-3-3-3-1-3-3-333300111111-1-11-11-11-11-1-1-11-1100001-11-11-10000
χ7833-3-1-13331333-3-3-300-1-1-1-1-1-11-11-11-11-1111-11-1100001-11-11-10000-3-3311-3-3-3-1-3-3-333300111111-11-11-11-11-1-1-11-11-10000-11-11-110000
χ7933-3-1-13−3+3i32−3−3i3213−3+3i32−3−3i32-33−3i323+3i3200-1-11−i321−i321+i321+i3211-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i320000-111−i32−1+i321+i32−1−i320000-3-3311-33−3i323+3i32-1-33−3i323+3i323−3+3i32−3−3i320011−1+i32−1+i32−1−i32−1−i32-1-11-111−i32−1+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i3200001-1−1+i321−i32−1−i321+i320000
χ8033-3-1-13−3+3i32−3−3i3213−3+3i32−3−3i32-33−3i323+3i3200-1-11−i321−i321+i321+i321-11-111−i32−1+i321+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i3200001-1−1+i321−i32−1−i321+i320000-3-3311-33−3i323+3i32-1-33−3i323+3i323−3+3i32−3−3i320011−1+i32−1+i32−1−i32−1−i32-11-11-1−1+i321−i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i320000-111−i32−1+i321+i32−1−i320000
χ8133-3-1-13−3−3i32−3+3i3213−3−3i32−3+3i32-33+3i323−3i3200-1-11+i321+i321−i321−i3211-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i320000-111+i32−1−i321−i32−1+i320000-3-3311-33+3i323−3i32-1-33+3i323−3i323−3−3i32−3+3i320011−1−i32−1−i32−1+i32−1+i32-1-11-111+i32−1−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i3200001-1−1−i321+i32−1+i321−i320000
χ8233-3-1-13−3−3i32−3+3i3213−3−3i32−3+3i32-33+3i323−3i3200-1-11+i321+i321−i321−i321-11-111+i32−1−i321−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i3200001-1−1−i321+i32−1+i321−i320000-3-3311-33+3i323−3i32-1-33+3i323−3i323−3−3i32−3+3i320011−1−i32−1−i32−1+i32−1+i32-11-11-1−1−i321+i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i320000-111+i32−1−i321−i32−1+i320000
χ8366666-1006-100-10066-1-10000-100000000000000-1-1-1-10000000000-6-6-6-6-6100-6100100-6-611000010000000000000011110000000000
χ8466666-1006-100-100-3-3-1-10000-1000000000000001−2121+2121−2121+2120000000000-6-6-6-6-6100-610010033110000100000000000000−1+212−1−212−1+212−1−2120000000000
χ8566666-1006-100-100-3-3-1-10000-1000000000000001+2121−2121+2121−2120000000000-6-6-6-6-6100-610010033110000100000000000000−1−212−1+212−1−212−1+2120000000000
χ8666-666-100-6-1001006-6-1-10000100000000000000-1-1110000000000-6-66-6-61006100-100-66110000-10000000000000011-1-10000000000
χ8766-666-100-6-100100-33-1-100001000000000000001−2121+212−1+212−1−2120000000000-6-66-6-61006100-1003-3110000-100000000000000−1+212−1−2121−2121+2120000000000
χ8866-666-100-6-100100-33-1-100001000000000000001+2121−212−1−212−1+2120000000000-6-66-6-61006100-1003-3110000-100000000000000−1−212−1+2121+2121−2120000000000
χ896-202-26660-2-2-2000002-22-22-20020-20202000-20-200000000000000-620-22-6-6-6022200000-22-22-2200-2020-20-200020200000000000000
χ906-202-26660-2-2-2000002-22-22-200-2020-20-200020200000000000000-620-22-6-6-6022200000-22-22-220020-20202000-20-200000000000000
χ916-202-26−3+3i3−3−3i30-21−i31+i3000002-2−1+i31−i3−1−i31+i30020-20−1+i30−1−i30001−i301+i300000000000000-620-22-63−3i33+3i302−1+i3−1−i300000-221−i3−1+i31+i3−1−i300-20201−i301+i3000−1+i30−1−i300000000000000
χ926-202-26−3+3i3−3−3i30-21−i31+i3000002-2−1+i31−i3−1−i31+i300-20201−i301+i3000−1+i30−1−i300000000000000-620-22-63−3i33+3i302−1+i3−1−i300000-221−i3−1+i31+i3−1−i30020-20−1+i30−1−i30001−i301+i300000000000000
χ936-202-26−3−3i3−3+3i30-21+i31−i3000002-2−1−i31+i3−1+i31−i30020-20−1−i30−1+i30001+i301−i300000000000000-620-22-63+3i33−3i302−1−i3−1+i300000-221+i3−1−i31−i3−1+i300-20201+i301−i3000−1−i30−1+i300000000000000
χ946-202-26−3−3i3−3+3i30-21+i31−i3000002-2−1−i31+i3−1+i31−i300-20201+i301−i3000−1−i30−1+i300000000000000-620-22-63+3i33−3i302−1−i3−1+i300000-221+i3−1−i31−i3−1+i30020-20−1−i30−1+i30001+i301−i300000000000000
χ956-20-226660-2-2-200000-22-22-22020-20202000-20-2000000000000000-6202-2-6-6-60222000002-22-22-20-2020-20-2000202000000000000000
χ966-20-226660-2-2-200000-22-22-220-2020-20-2000202000000000000000-6202-2-6-6-60222000002-22-22-2020-20202000-20-2000000000000000
χ976-20-226−3+3i3−3−3i30-21−i31+i300000-221−i3−1+i31+i3−1−i3020-20−1+i30−1−i30001−i301+i3000000000000000-6202-2-63−3i33+3i302−1+i3−1−i3000002-2−1+i31−i3−1−i31+i30-20201−i301+i3000−1+i30−1−i3000000000000000
χ986-20-226−3+3i3−3−3i30-21−i31+i300000-221−i3−1+i31+i3−1−i30-20201−i301+i3000−1+i30−1−i3000000000000000-6202-2-63−3i33+3i302−1+i3−1−i3000002-2−1+i31−i3−1−i31+i3020-20−1+i30−1−i30001−i301+i3000000000000000
χ996-20-226−3−3i3−3+3i30-21+i31−i300000-221+i3−1−i31−i3−1+i3020-20−1−i30−1+i30001+i301−i3000000000000000-6202-2-63+3i33−3i302−1−i3−1+i3000002-2−1−i31+i3−1+i31−i30-20201+i301−i3000−1−i30−1+i3000000000000000
χ1006-20-226−3−3i3−3+3i30-21+i31−i300000-221+i3−1−i31−i3−1+i30-20201+i301−i3000−1−i30−1+i3000000000000000-6202-2-63+3i33−3i302−1−i3−1+i3000002-2−1−i31+i3−1+i31−i3020-20−1−i30−1+i30001+i301−i3000000000000000
χ101181818-6-6-300-6-300-3000011000010000000000000000000000000000-18-18-1866300630030000-1-10000-10000000000000000000000000000
χ1021818-18-6-6-3006-30030000110000-10000000000000000000000000000-18-181866300-6300-30000-1-1000010000000000000000000000000000
χ10336-12012-12-600020000000-22000000000000000000000000000000000-36120-12126000-200000002-2000000000000000000000000000000000
χ10436-120-1212-6000200000002-2000000000000000000000000000000000-3612012-126000-20000000-22000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).