Finite Group Databasebeta

← Group #14276976

Character table — Group #14276976

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222444444444444444888888888888888888881010101010101010101020202020202020242424242424242424244040404040404040404040406060606060606060120120
order122222344666456610101010101010121212121520202020303030303030306060606060606060444444121212124121212121212442020202020202020888824242424242424248888888844
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
χ91111-1-1111111-11-1-111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-11111-1-1i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i11-1-111-1-1i−i
χ101111-1-1111111-11-1-111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-11111-1-1i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-1-111-1-111i−i
χ111111-1-1111111-11-1-111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-11111-1-1−ii−i−i−i−iiiiii−ii−iii−i−iii−i−i-1-111-1-111−ii
χ121111-1-1111111-11-1-111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-11111-1-1−ii−i−i−i−iiiii−ii−ii−i−iii−i−iii11-1-111-1-1−ii
χ131111-1-1111111-11-1-111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-111111-1-1-1-111i−iiiii−i−i−i−i1-1-1111-1-1-1-111−i−iiiii−i−i−ii
χ141111-1-1111111-11-1-111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-111111-1-1-1-111i−iiiii−i−i−i−i-111-1-1-11111-1-1ii−i−i−i−iii−ii
χ151111-1-1111111-11-1-111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-111111-1-1-1-111−ii−i−i−i−iiiii1-1-1111-1-1-1-111ii−i−i−i−iiii−i
χ161111-1-1111111-11-1-111-1-11-1-111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-111111-1-1-1-111−ii−i−i−i−iiiii-111-1-1-11111-1-1−i−iiiii−i−ii−i
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χ19222222-122-1-1-122-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-100000000002222-1-1-1-1-1-1-1-10000000000
χ20222222-122-1-1-122-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-10000000000-2-2-2-2111111110000000000
χ21222222-122-1-1-122-1-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-211111100000000002i2i−2i−2i−i−i−i−iiiii0000000000
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χ272222-2-22-2-222222-2-222-2-22-2-2-2-2222-2-22222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-2222-2-22200000000000000000000000000000000
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χ302222-2-2-122-1-1-1-221122-2-22-2-2-1-111-122-2-2-1-11111-1-1-1-1-1111122-2-2221111-2-1-1-1-1110000000000−2i2i−2i2iii−i−iii−i−i0000000000
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χ322222-2-2-122-1-1-1-221122-2-22-2-2-1-111-122-2-2-1-11111-1-1-1-1-11111-2-222-2-2-1-1-1-121111-1-10000000000-222-211-1-1-1-1110000000000
χ332222-2-2-1-2-2-1-1-1221122-2-22-2-211-1-1-1-2-222-1-11111-11111-1-1-1-122-2-2-2-211112-1-111-1-1000000000000003−3−333−3−330000000000
χ342222-2-2-1-2-2-1-1-1221122-2-22-2-211-1-1-1-2-222-1-11111-11111-1-1-1-122-2-2-2-211112-1-111-1-100000000000000−333−3−333−30000000000
χ352222-2-2-1-2-2-1-1-1221122-2-22-2-211-1-1-1-2-222-1-11111-11111-1-1-1-1-2-22222-1-1-1-1-211-1-11100000000000000−i3i3i3−i3i3−i3−i3i30000000000
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χ8688-8-800-400-4440-2002225−25-2−2525004i3−4i310000-1-1−555−51−i15i15−i15i15−i3−i3i3i30000000000000000000000000000000000000000000000000
χ878-88-88-8800-88-80-28-8-22-2-22220000-20000-22-2-2222000000000000000000000000000000000000000000000000000000000
χ888-88-88-8-4004-440-2-44-22-2-22220000100001-111-1-1-1−151515−1515−15−15150000000000000000000000000000000000000000000000000
χ898-88-88-8-4004-440-2-44-22-2-22220000100001-111-1-1-115−15−1515−151515−150000000000000000000000000000000000000000000000000
χ908-88-8-88800-88-80-2-88-22222-2-20000-20000-2222-2-22000000000000000000000000000000000000000000000000000000000
χ918-88-8-88-4004-440-24-4-22222-2-20000100001-1-1-111-1−151515−15−151515−150000000000000000000000000000000000000000000000000
χ928-88-8-88-4004-440-24-4-22222-2-20000100001-1-1-111-115−15−151515−15−15150000000000000000000000000000000000000000000000000
χ938-8-8800-48i−8i44-40-2002-2−25252−2525−4i4i001−2i2i−2i52i5-115−55−5-1ii−i−ii5−i5i5−i50000000000000000000000000000000000000000000000000
χ948-8-8800-48i−8i44-40-2002-225−25225−25−4i4i001−2i2i2i5−2i5-11−55−55-1ii−i−i−i5i5−i5i50000000000000000000000000000000000000000000000000
χ958-8-8800-4−8i8i44-40-2002-2−25252−25254i−4i0012i−2i2i5−2i5-115−55−5-1−i−iii−i5i5−i5i50000000000000000000000000000000000000000000000000
χ968-8-8800-4−8i8i44-40-2002-225−25225−254i−4i0012i−2i−2i52i5-11−55−55-1−i−iiii5−i5i5−i50000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.