Finite Group Databasebeta

← Group #14306109

Character table — Group #14306109

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222444444444444444888888888888888888881010101010101010101020202020202020242424242424242424244040404040404040404040406060606060606060120120
order122222344666456610101010101010121212121520202020303030303030306060606060606060222244666646612121212241010101020202020444412121212121212124444444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1
χ611111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1
χ711111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii11
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i11
χ91111111-1-1111-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-11-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-1-11
χ101111111-1-1111-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-11-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-111-11
χ111111111-1-1111-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-1-11-1-1-1-111111-11-111-1-111-1-1-1-111-1-1111-1
χ121111111-1-1111-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-1-11-1-1-1-11111-11-11-1-111-1-11111-1-111-1-11-1
χ131111111-1-1111-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111111-11111-1-1-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iii1-1
χ141111111-1-1111-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111111-11111-1-1-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1
χ151111111-1-1111-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-11-1-1-1-11111i−i−iiii−i−i−i−iii−i−iiiii−i−i-11
χ161111111-1-1111-11111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-11-1-1-1-11111−iii−i−i−iiiii−i−iii−i−i−i−iii-11
χ17222222-122-1-1-122-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-100000000002222-1-1-1-1-1-1-1-10000000000
χ18222222-122-1-1-122-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-10000000000-2-2-2-2111111110000000000
χ19222222-122-1-1-122-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-211111100000000002i2i−2i−2i−i−i−i−iiiii0000000000
χ20222222-122-1-1-122-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-21111110000000000−2i−2i2i2iiiii−i−i−i−i0000000000
χ21222222-1-2-2-1-1-1-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-1-1-1-1-2-1-1111100000000002-22-2-1-111-1-1110000000000
χ22222222-1-2-2-1-1-1-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-1-1-1-1-2-1-111110000000000-22-2211-1-111-1-10000000000
χ23222222-1-2-2-1-1-1-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2221111211-1-1-1-100000000002i−2i−2i2i−i−iiiii−i−i0000000000
χ24222222-1-2-2-1-1-1-22-1-122222221111-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2221111211-1-1-1-10000000000−2i2i2i−2iii−i−i−i−iii0000000000
χ252222-2-2222222-22-2-22-2-2-2-22222-2-2222-2-222-2-2-2-222222-2-2-2-222-2-2-2-222222-2-222-2-200000000000000000000000000000000
χ262222-2-2222222-22-2-22-2-2-2-22222-2-2222-2-222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-222-2-22200000000000000000000000000000000
χ272222-2-22-2-222222-2-22-2-2-2-222-2-2222-2-22222-2-2-2-22-2-2-2-2222222-2-2222222-2-2-2-2-22200000000000000000000000000000000
χ282222-2-22-2-222222-2-22-2-2-2-222-2-2222-2-22222-2-2-2-22-2-2-2-22222-2-222-2-2-2-2-2-222222-2-200000000000000000000000000000000
χ292222-2-2-122-1-1-1-22112-2-2-2-222-1-111-122-2-2-1-11111-1-1-1-1-1111122-2-2-2-2-1-1-1-1211-1-11100000000000000−i3i3−i3i3−i3i3−i3i30000000000
χ302222-2-2-122-1-1-1-22112-2-2-2-222-1-111-122-2-2-1-11111-1-1-1-1-1111122-2-2-2-2-1-1-1-1211-1-11100000000000000i3−i3i3−i3i3−i3i3−i30000000000
χ312222-2-2-122-1-1-1-22112-2-2-2-222-1-111-122-2-2-1-11111-1-1-1-1-11111-2-222221111-2-1-111-1-1000000000000003−33−3−33−330000000000
χ322222-2-2-122-1-1-1-22112-2-2-2-222-1-111-122-2-2-1-11111-1-1-1-1-11111-2-222221111-2-1-111-1-100000000000000−33−333−33−30000000000
χ332222-2-2-1-2-2-1-1-122112-2-2-2-22211-1-1-1-2-222-1-11111-11111-1-1-1-122-2-222-1-1-1-1-21111-1-100000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ342222-2-2-1-2-2-1-1-122112-2-2-2-22211-1-1-1-2-222-1-11111-11111-1-1-1-122-2-222-1-1-1-1-21111-1-100000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ352222-2-2-1-2-2-1-1-122112-2-2-2-22211-1-1-1-2-222-1-11111-11111-1-1-1-1-2-222-2-211112-1-1-1-111000000000000003−3−33−333−30000000000
χ362222-2-2-1-2-2-1-1-122112-2-2-2-22211-1-1-1-2-222-1-11111-11111-1-1-1-1-2-222-2-211112-1-1-1-11100000000000000−333−33−3−330000000000
χ372-2-222-22002-2-2022-2-222-2-2-220000200002-222-2-2-2000000002-22-20022-2-202-200000000000000000000000000002i−2i002i−2i00
χ382-2-222-22002-2-2022-2-222-2-2-220000200002-222-2-2-2000000002-22-20022-2-202-20000000000000000000000000000−2i2i00−2i2i00
χ392-2-222-22002-2-2022-2-222-2-2-220000200002-222-2-2-200000000-22-2200-2-2220-2200000000000000000000000000002-200-2200
χ402-2-222-22002-2-2022-2-222-2-2-220000200002-222-2-2-200000000-22-2200-2-2220-220000000000000000000000000000-22002-200
χ412-2-22-222002-2-202-22-2-2-222-220000200002-2-2-222-2000000002-2-220022-2-20-22000000000000000000000000002i−2i002i−2i0000
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χ454444444444444-144-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000044-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444444-144-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-4-4111111110000000000000000000000
χ474444444-4-4444-4-144-1-1-1-1-1-1-1-4-4-4-4-11111-1-1-1-1-1-1-111111111000000000000000004-4-1-1-1-111110000000000000000000000
χ484444444-4-4444-4-144-1-1-1-1-1-1-1-4-4-4-4-11111-1-1-1-1-1-1-11111111100000000000000000-441111-1-1-1-10000000000000000000000
χ494444-4-4444444-4-1-4-4-11111-1-144-4-4-1-1-111-1-11111-1-1-1-1-111110000000000000000000−5−555−5−5550000000000000000000000
χ504444-4-4444444-4-1-4-4-11111-1-144-4-4-1-1-111-1-11111-1-1-1-1-11111000000000000000000055−5−555−5−50000000000000000000000
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χ524444-4-44-4-44444-1-4-4-11111-1-1-4-444-111-1-1-1-11111-11111-1-1-1-1000000000000000000055−5−5−5−5550000000000000000000000
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χ868-88-800800-8-880-200225−25−2525-220000-200002225−25−2525-2000000000000000000000000000000000000000000000000000000000
χ878-88-800-40044-40-2002−252525−25-2200−4i34i310000-1-15−5−551−i15i15−i15i15i3−i3i3−i30000000000000000000000000000000000000000000000000
χ888-88-800-40044-40-2002−252525−25-22004i3−4i310000-1-15−5−551i15−i15i15−i15−i3i3−i3i30000000000000000000000000000000000000000000000000
χ898-88-800-40044-40-200225−25−2525-2200−4i34i310000-1-1−555−51i15−i15i15−i15i3−i3i3−i30000000000000000000000000000000000000000000000000
χ908-88-800-40044-40-200225−25−2525-22004i3−4i310000-1-1−555−51−i15i15−i15i15−i3i3−i3i30000000000000000000000000000000000000000000000000
χ918-8-888-88008-8-80-28-82-2-2222-20000-20000-22-2-2222000000000000000000000000000000000000000000000000000000000
χ928-8-888-8-400-4440-2-442-2-2222-20000100001-111-1-1-1−151515−1515−15−15150000000000000000000000000000000000000000000000000
χ938-8-888-8-400-4440-2-442-2-2222-20000100001-111-1-1-115−15−1515−151515−150000000000000000000000000000000000000000000000000
χ948-8-88-888008-8-80-2-88222-2-22-20000-20000-2222-2-22000000000000000000000000000000000000000000000000000000000
χ958-8-88-88-400-4440-24-4222-2-22-20000100001-1-1-111-1−151515−15−151515−150000000000000000000000000000000000000000000000000
χ968-8-88-88-400-4440-24-4222-2-22-20000100001-1-1-111-115−15−151515−15−15150000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.