Finite Group Databasebeta

← Group #13164644

Character table — Group #13164644

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122222336666666666666666666661212121218182424242424242424242454547272727211222223366666666666666666666612121212181824242424242424242424545472727272
order122366622236666666666666666666336624336666666624661212222666622266666666666666666666666624666666666624661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111111111-1-1-1-1-1-11111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ3111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ4111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ5111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ6111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ711-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-111111-111-1-11-1-11-1-11-111-1-111-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-111111-111-1-11-1-11-1-11-111-1-1
χ811-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-11111-1111-1-11-1-11-1-1-11-1-11111-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-11111-1111-1-11-1-11-1-1-11-1-111
χ911-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i3211-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ1011-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i3211-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ1111-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i3211-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1211-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i3211-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ132222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-122-1-1-1-1-1-10000002222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-122-1-1-1-1-1-1000000
χ142222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i320000002222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000
χ152222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i320000002222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000
χ1622-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111222200-1-1-2-2-111-11100000022-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111222200-1-1-2-2-111-111000000
χ1722-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i3200000022-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32000000
χ1822-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i3200000022-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32000000
χ192-202-2002-2022-200222-2-2-2-20000000022-2-2002200-200-2000000002-202-2002-2022-200222-2-2-2-20000000022-2-2002200-200-200000000
χ202-202-2002-2022-200222-2-2-2-200000000−1+i3−1−i31−i31+i300−1+i3−1−i3001−i3001+i3000000002-202-2002-2022-200222-2-2-2-200000000−1+i3−1−i31−i31+i300−1+i3−1−i3001−i3001+i300000000
χ212-202-2002-2022-200222-2-2-2-200000000−1−i3−1+i31+i31−i300−1−i3−1+i3001+i3001−i3000000002-202-2002-2022-200222-2-2-2-200000000−1−i3−1+i31+i31−i300−1−i3−1+i3001+i3001−i300000000
χ222-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i322-2-200-1-1001i3−i31i3−i30000002-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i322-2-200-1-1001i3−i31i3−i3000000
χ232-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i320000002-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i32000000
χ242-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i320000002-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i32000000
χ252-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i322-2-200-1-1001−i3i31−i3i30000002-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i322-2-200-1-1001−i3i31−i3i3000000
χ262-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i320000002-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i32000000
χ272-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i320000002-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i32000000
χ283333333-1-1-13-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-10000330000000000-1-100003333333-1-1-13-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-10000330000000000-1-10000
χ293333333-1-1-13-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-10000-3-300000000001100003333333-1-1-13-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-10000-3-30000000000110000
χ3033-333-3-3-1-113-1-111-1-1-13-1-1-1-3111-311100003-30000000000-11000033-333-3-3-1-113-1-111-1-1-13-1-1-1-3111-311100003-30000000000-110000
χ3133-333-3-3-1-113-1-111-1-1-13-1-1-1-3111-31110000-3300000000001-1000033-333-3-3-1-113-1-111-1-1-13-1-1-1-3111-31110000-3300000000001-10000
χ326666666-2-2-2-3-2-2-2-2111-3111-3111-311100000000000000000000006666666-2-2-2-3-2-2-2-2111-3111-3111-31110000000000000000000000
χ33666-3-3-3-36660-3-3-3-30000000000000000000000000000000000000666-3-3-3-36660-3-3-3-30000000000000000000000000000000000000
χ34666-3-3-3-3-2-2-2011114-2-204-2-204-2-204-2-20000000000000000000000666-3-3-3-3-2-2-2011114-2-204-2-204-2-204-2-20000000000000000000000
χ35666-3-3-3-3-2-2-201111-24-20-24-20-24-20-24-20000000000000000000000666-3-3-3-3-2-2-201111-24-20-24-20-24-20-24-20000000000000000000000
χ36666-3-3-3-3-2-2-201111-2-240-2-240-2-240-2-240000000000000000000000666-3-3-3-3-2-2-201111-2-240-2-240-2-240-2-240000000000000000000000
χ3766-666-6-6-2-22-3-2-222111-31113-1-1-13-1-1-1000000000000000000000066-666-6-6-2-22-3-2-222111-31113-1-1-13-1-1-10000000000000000000000
χ3866-6-3-33366-60-3-333000000000000000000000000000000000000066-6-3-33366-60-3-3330000000000000000000000000000000000000
χ3966-6-3-333-2-22011-1-14-2-204-2-20-4220-422000000000000000000000066-6-3-333-2-22011-1-14-2-204-2-20-4220-4220000000000000000000000
χ4066-6-3-333-2-22011-1-1-24-20-24-202-4202-42000000000000000000000066-6-3-333-2-22011-1-1-24-20-24-202-4202-420000000000000000000000
χ4166-6-3-333-2-22011-1-1-2-240-2-24022-4022-4000000000000000000000066-6-3-333-2-22011-1-1-2-240-2-24022-4022-40000000000000000000000
χ426-606-600-2206-2200-2-2-2-62220000000000000000000000000000006-606-600-2206-2200-2-2-2-6222000000000000000000000000000000
χ436-606-600-220-3-22001113-1-1-13i3−i3−i3−i3−3i3i3i3i300000000000000000000006-606-600-220-3-22001113-1-1-13i3−i3−i3−i3−3i3i3i3i30000000000000000000000
χ446-606-600-220-3-22001113-1-1-1−3i3i3i3i33i3−i3−i3−i300000000000000000000006-606-600-220-3-22001113-1-1-1−3i3i3i3i33i3−i3−i3−i30000000000000000000000
χ456-60-333i3−3i36-600-333i3−3i300000000000000000000000000000000000006-60-333i3−3i36-600-333i3−3i30000000000000000000000000000000000000
χ466-60-333i3−3i3-22001-1−i3i34-2-20-422002i3−2i300−2i32i300000000000000000000006-60-333i3−3i3-22001-1−i3i34-2-20-422002i3−2i300−2i32i30000000000000000000000
χ476-60-333i3−3i3-22001-1−i3i3-24-202-420−2i302i302i30−2i300000000000000000000006-60-333i3−3i3-22001-1−i3i3-24-202-420−2i302i302i30−2i30000000000000000000000
χ486-60-333i3−3i3-22001-1−i3i3-2-24022-402i3−2i300−2i32i3000000000000000000000006-60-333i3−3i3-22001-1−i3i3-2-24022-402i3−2i300−2i32i300000000000000000000000
χ496-60-33−3i33i36-600-33−3i33i300000000000000000000000000000000000006-60-33−3i33i36-600-33−3i33i30000000000000000000000000000000000000
χ506-60-33−3i33i3-22001-1i3−i34-2-20-42200−2i32i3002i3−2i300000000000000000000006-60-33−3i33i3-22001-1i3−i34-2-20-42200−2i32i3002i3−2i30000000000000000000000
χ516-60-33−3i33i3-22001-1i3−i3-24-202-4202i30−2i30−2i302i300000000000000000000006-60-33−3i33i3-22001-1i3−i3-24-202-4202i30−2i30−2i302i30000000000000000000000
χ526-60-33−3i33i3-22001-1i3−i3-2-24022-40−2i32i3002i3−2i3000000000000000000000006-60-33−3i33i3-22001-1i3−i3-2-24022-40−2i32i3002i3−2i300000000000000000000000
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
χ541111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ55111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-1-11−i321+i321−i321+i32
χ56111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32111−i321+i321−i321+i321−i321−i321−i321+i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ57111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-11+i321−i321+i321−i32
χ58111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32111+i321−i321+i321−i321+i321+i321+i321−i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ5911-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-111111-111-1-11-1-11-1-11-111-1-1-1-11-1-111-1-11-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-111-111-11-1-111
χ6011-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-11111-1111-1-11-1-11-1-1-11-1-111-1-11-1-111-1-11-1-1-111-1-1-1-1-1-1-111111111-1-1-1-11-1-1-111-111-1111-111-1-1
χ6111-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32-1-11-1-111-1-11-1-1-111-1-1-1-1-1-1-1111111111−i321+i321−i321+i32-111−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ6211-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32-1-11-1-111-1-11-1-1-111-1-1-1-1-1-1-1111111111−i321+i321−i321+i321-11−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i321-1−1+i32−1−i321−i321+i32
χ6311-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32-1-11-1-111-1-11-1-1-111-1-1-1-1-1-1-1111111111+i321−i321+i321−i32-111+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ6411-111-1-111-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32-1-11-1-111-1-11-1-1-111-1-1-1-1-1-1-1111111111+i321−i321+i321−i321-11+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i321-1−1−i32−1+i321+i321−i32
χ652222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-122-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2-21-2-2-2-2111111111111111-2-2-2-20011-2-2111111000000
χ662222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32000000-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111111111111−i31+i31−i31+i300−1+i32−1−i321−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000
χ672222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32000000-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111111111111+i31−i31+i31−i300−1−i32−1+i321+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000
χ6822-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111222200-1-1-2-2-111-111000000-2-22-2-222-2-221-2-2221111111-1-1-1-1-1-1-1-1-2-2-2-20011221-1-11-1-1000000
χ6922-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32000000-2-22-2-222-2-221-2-2221111111-1-1-1-1-1-1-1-11−i31+i31−i31+i300−1+i32−1−i32−1+i3−1−i3−1+i321−i321−i32−1−i321+i321+i32000000
χ7022-222-2-222-2-122-2-2-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32000000-2-22-2-222-2-221-2-2221111111-1-1-1-1-1-1-1-11+i31−i31+i31−i300−1−i32−1+i32−1−i3−1+i3−1−i321+i321+i32−1+i321−i321−i32000000
χ712-202-2002-2022-200222-2-2-2-20000000022-2-2002200-200-200000000-220-2200-220-2-2200-2-2-2222200000000-2-22200-2-200200200000000
χ722-202-2002-2022-200222-2-2-2-200000000−1+i3−1−i31−i31+i300−1+i3−1−i3001−i3001+i300000000-220-2200-220-2-2200-2-2-22222000000001−i31+i3−1+i3−1−i3001−i31+i300−1+i300−1−i300000000
χ732-202-2002-2022-200222-2-2-2-200000000−1−i3−1+i31+i31−i300−1−i3−1+i3001+i3001−i300000000-220-2200-220-2-2200-2-2-22222000000001+i31−i3−1−i3−1+i3001+i31−i300−1−i300−1+i300000000
χ742-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i322-2-200-1-1001i3−i31i3−i3000000-220-2200-2201-2200111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-2-222001100-1−i3i3-1−i3i3000000
χ752-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i32000000-220-2200-2201-2200111-1-1-1-1−i3−i3−i3−i3i3i3i3i31−i31+i3−1+i3−1−i300−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000
χ762-202-2002-20-12-200-1-1-11111i3i3i3i3−i3−i3−i3−i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i32000000-220-2200-2201-2200111-1-1-1-1−i3−i3−i3−i3i3i3i3i31+i31−i3−1−i3−1+i300−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000
χ772-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i322-2-200-1-1001−i3i31−i3i3000000-220-2200-2201-2200111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-2-222001100-1i3−i3-1i3−i3000000
χ782-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i3−1+i3−1−i31−i31+i3001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i32000000-220-2200-2201-2200111-1-1-1-1i3i3i3i3−i3−i3−i3−i31−i31+i3−1+i3−1−i300−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000
χ792-202-2002-20-12-200-1-1-11111−i3−i3−i3−i3i3i3i3i3−1−i3−1+i31+i31−i3001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i32000000-220-2200-2201-2200111-1-1-1-1i3i3i3i3−i3−i3−i3−i31+i31−i3−1−i3−1+i300−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000
χ803333333-1-1-13-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-10000330000000000-1-10000-3-3-3-3-3-3-3111-31111111-3111-3111-31110000-3-30000000000110000
χ813333333-1-1-13-1-1-1-1-1-1-13-1-1-13-1-1-13-1-1-10000-3-30000000000110000-3-3-3-3-3-3-3111-31111111-3111-3111-31110000330000000000-1-10000
χ8233-333-3-3-1-113-1-111-1-1-13-1-1-1-3111-311100003-30000000000-110000-3-33-3-33311-1-311-1-1111-31113-1-1-13-1-1-10000-3300000000001-10000
χ8333-333-3-3-1-113-1-111-1-1-13-1-1-1-3111-31110000-3300000000001-10000-3-33-3-33311-1-311-1-1111-31113-1-1-13-1-1-100003-30000000000-110000
χ846666666-2-2-2-3-2-2-2-2111-3111-3111-31110000000000000000000000-6-6-6-6-6-6-622232222-1-1-13-1-1-13-1-1-13-1-1-10000000000000000000000
χ85666-3-3-3-36660-3-3-3-30000000000000000000000000000000000000-6-6-63333-6-6-6033330000000000000000000000000000000000000
χ86666-3-3-3-3-2-2-2011114-2-204-2-204-2-204-2-20000000000000000000000-6-6-633332220-1-1-1-1-4220-4220-4220-4220000000000000000000000
χ87666-3-3-3-3-2-2-201111-24-20-24-20-24-20-24-20000000000000000000000-6-6-633332220-1-1-1-12-4202-4202-4202-420000000000000000000000
χ88666-3-3-3-3-2-2-201111-2-240-2-240-2-240-2-240000000000000000000000-6-6-633332220-1-1-1-122-4022-4022-4022-40000000000000000000000
χ8966-666-6-6-2-22-3-2-222111-31113-1-1-13-1-1-10000000000000000000000-6-66-6-66622-2322-2-2-1-1-13-1-1-1-3111-31110000000000000000000000
χ9066-6-3-33366-60-3-3330000000000000000000000000000000000000-6-6633-3-3-6-66033-3-30000000000000000000000000000000000000
χ9166-6-3-333-2-22011-1-14-2-204-2-20-4220-4220000000000000000000000-6-6633-3-322-20-1-111-4220-42204-2-204-2-20000000000000000000000
χ9266-6-3-333-2-22011-1-1-24-20-24-202-4202-420000000000000000000000-6-6633-3-322-20-1-1112-4202-420-24-20-24-20000000000000000000000
χ9366-6-3-333-2-22011-1-1-2-240-2-24022-4022-40000000000000000000000-6-6633-3-322-20-1-11122-4022-40-2-240-2-240000000000000000000000
χ946-606-600-2206-2200-2-2-2-6222000000000000000000000000000000-660-66002-20-62-2002226-2-2-2000000000000000000000000000000
χ956-606-600-220-3-22001113-1-1-13i3−i3−i3−i3−3i3i3i3i30000000000000000000000-660-66002-2032-200-1-1-1-3111−3i3i3i3i33i3−i3−i3−i30000000000000000000000
χ966-606-600-220-3-22001113-1-1-1−3i3i3i3i33i3−i3−i3−i30000000000000000000000-660-66002-2032-200-1-1-1-31113i3−i3−i3−i3−3i3i3i3i30000000000000000000000
χ976-60-333i3−3i36-600-333i3−3i30000000000000000000000000000000000000-6603-3−3i33i3-66003-3−3i33i30000000000000000000000000000000000000
χ986-60-333i3−3i3-22001-1−i3i34-2-20-422002i3−2i300−2i32i30000000000000000000000-6603-3−3i33i32-200-11i3−i3-42204-2-200−2i32i3002i3−2i30000000000000000000000
χ996-60-333i3−3i3-22001-1−i3i3-24-202-420−2i302i302i30−2i30000000000000000000000-6603-3−3i33i32-200-11i3−i32-420-24-202i30−2i30−2i302i30000000000000000000000
χ1006-60-333i3−3i3-22001-1−i3i3-2-24022-402i3−2i300−2i32i300000000000000000000000-6603-3−3i33i32-200-11i3−i322-40-2-240−2i32i3002i3−2i300000000000000000000000
χ1016-60-33−3i33i36-600-33−3i33i30000000000000000000000000000000000000-6603-33i3−3i3-66003-33i3−3i30000000000000000000000000000000000000
χ1026-60-33−3i33i3-22001-1i3−i34-2-20-42200−2i32i3002i3−2i30000000000000000000000-6603-33i3−3i32-200-11−i3i3-42204-2-2002i3−2i300−2i32i30000000000000000000000
χ1036-60-33−3i33i3-22001-1i3−i3-24-202-4202i30−2i30−2i302i30000000000000000000000-6603-33i3−3i32-200-11−i3i32-420-24-20−2i302i302i30−2i30000000000000000000000
χ1046-60-33−3i33i3-22001-1i3−i3-2-24022-40−2i32i3002i3−2i300000000000000000000000-6603-33i3−3i32-200-11−i3i322-40-2-2402i3−2i300−2i32i300000000000000000000000

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