Finite Group Databasebeta

← Group #12126360

Character table — Group #12126360

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222444444444444888888882222222244448888888888881616161616161616222222224444888888888888161616161616161655555555101010102020202020202020202020204040404040404040
order1222222244444444888888884444444451010101010101020202020202020204040404040404040202020202020202051010101010101020202020202020204040404040404040202020202020202022222222444444448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-20000000000000000
χ1022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-2220000000000000000
χ11222-22-2-2-20000002-222−2−222−2−200000000222-22-2-2-20000002-222−2−222−2−200000000222-22-2-2-20000002-222−2−222−2−200000000222-22-2-2-20000002-222−2−222−2−200000000
χ12222-22-2-2-20000002-2−2−222−2−22200000000222-22-2-2-20000002-2−2−222−2−22200000000222-22-2-2-20000002-2−2−222−2−22200000000222-22-2-2-20000002-2−2−222−2−22200000000
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χ14222-22-2-2-2000000-22−2−22222−2−200000000222-22-2-2-2000000-22−2−22222−2−200000000222-22-2-2-2000000-22−2−22222−2−200000000222-22-2-2-2000000-22−2−22222−2−200000000
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χ1822-22-22-2-20000-2200−22−222−22−20000000022-22-22-2-20000-2200−22−222−22−20000000022-22-22-2-20000-2200−22−222−22−20000000022-22-22-2-20000-2200−22−222−22−200000000
χ1922-2-2-2-2222-22-2000000002-2-220000000022-2-2-2-2222-22-2000000002-2-220000000022-2-2-2-2222-22-2000000002-2-220000000022-2-2-2-2222-22-2000000002-2-2200000000
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χ33111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ37111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ38111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ39111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ40111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ4122222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-20000000000000000-2-2-2-2-2-2-2-22222-2-2220000000000000000
χ4222222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-2220000000000000000-2-2-2-2-2-2-2-2222222-2-20000000000000000
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χ44222-22-2-2-20000002-2−2−222−2−22200000000222-22-2-2-20000002-2−2−222−2−22200000000222-22-2-2-20000002-2−2−222−2−22200000000-2-2-22-2222000000-2222−2−222−2−200000000
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χ46222-22-2-2-2000000-22−2−22222−2−200000000222-22-2-2-2000000-22−2−22222−2−200000000222-22-2-2-2000000-22−2−22222−2−200000000-2-2-22-22220000002-222−2−2−2−22200000000
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χ66222222222222222222222222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+5200000000000000000000000000000000
χ672222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000000000
χ682222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−5200000000000000000000000000000000
χ69222222222222-2-2-2-22222-2-2-2-222-2-222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−521+521+5200000000000000000000000000000000
χ70222222222222-2-2-2-22222-2-2-2-2-2-222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+521+52−1−52−1−5200000000000000000000000000000000
χ71222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−5200000000000000000000000000000000
χ72222222222222-2-2-2-2-2-2-2-22222-2-22222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+521+5200000000000000000000000000000000
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χ11344-44-44-4-40000-440022−2222−22−2222−222200000000−1−5−1−51+5−1−51+5−1−51+51+500001+5−1−500ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000−1+5−1+51−5−1+51−5−1+51−51−500001−5−1+500−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000000000000000000000
χ11444-44-44-4-40000-4400−2222−222222−2222−2200000000−1−5−1−51+5−1−51+5−1−51+51+500001+5−1−500−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000−1+5−1+51−5−1+51−5−1+51−51−500001−5−1+500ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000000000000000000000
χ11544-4-4-4-4444-44-4000000004-4-4400000000−1−5−1−51+51+51+51+5−1−5−1−5−1−51+5−1−51+500000000−1−51+51+5−1−500000000−1+5−1+51−51−51−51−5−1+5−1+5−1+51−5−1+51−500000000−1+51−51−5−1+50000000000000000000000000000000000000000
χ11644-4-4-4-4444-44-400000000-444-400000000−1−5−1−51+51+51+51+5−1−5−1−5−1−51+5−1−51+5000000001+5−1−5−1−51+500000000−1+5−1+51−51−51−51−5−1+5−1+5−1+51−5−1+51−5000000001−5−1+5−1+51−50000000000000000000000000000000000000000
χ11744-4-4-4-444-44-4400004-4-44000000000000−1−5−1−51+51+51+51+5−1−5−1−51+5−1−51+5−1−50000−1−51+51+5−1−5000000000000−1+5−1+51−51−51−51−5−1+5−1+51−5−1+51−5−1+50000−1+51−51−5−1+500000000000000000000000000000000000000000000
χ11844-4-4-4-444-44-440000-444-4000000000000−1−5−1−51+51+51+51+5−1−5−1−51+5−1−51+5−1−500001+5−1−5−1−51+5000000000000−1+5−1+51−51−51−51−5−1+5−1+51−5−1+51−5−1+500001−5−1+5−1+51−500000000000000000000000000000000000000000000
χ1194-444-4-4-4444-4-40000000000004i−4i000000−1−51+5−1−5−1−51+51+51+5−1−5−1−5−1−51+51+5000000000000−2ζ6−2ζ142ζ6+2ζ14000000−1+51−5−1+5−1+51−51−51−5−1+5−1+5−1+51−51−5000000000000−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ1204-444-4-4-4444-4-4000000000000−4i4i000000−1−51+5−1−5−1−51+51+51+5−1−5−1−5−1−51+51+50000000000002ζ6+2ζ14−2ζ6−2ζ14000000−1+51−5−1+5−1+51−51−51−5−1+5−1+5−1+51−51−50000000000002ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ1214-444-4-4-44-4-444000000000000004-40000−1−51+5−1−5−1−51+51+51+5−1−51+51+5−1−5−1−500000000000000−1−51+50000−1+51−5−1+5−1+51−51−51−5−1+51−51−5−1+5−1+500000000000000−1+51−5000000000000000000000000000000000000
χ1224-444-4-4-44-4-44400000000000000-440000−1−51+5−1−5−1−51+51+51+5−1−51+51+5−1−5−1−5000000000000001+5−1−50000−1+51−5−1+5−1+51−51−51−5−1+51−51−5−1+5−1+5000000000000001−5−1+5000000000000000000000000000000000000
χ1234-4-4-444-444-4-440000000000000000004-4−1−51+51+51+5−1−5−1−51+5−1−5−1−51+51+5−1−5000000000000000000−1−51+5−1+51−51−51−5−1+5−1+51−5−1+5−1+51−51−5−1+5000000000000000000−1+51−500000000000000000000000000000000
χ1244-4-4-444-444-4-44000000000000000000-44−1−51+51+51+5−1−5−1−51+5−1−5−1−51+51+5−1−50000000000000000001+5−1−5−1+51−51−51−5−1+5−1+51−5−1+5−1+51−51−5−1+50000000000000000001−5−1+500000000000000000000000000000000
χ1254-4-4-444-44-444-400000000000000004-400−1−51+51+51+5−1−5−1−51+5−1−51+5−1−5−1−51+50000000000000000−1−51+500−1+51−51−51−5−1+5−1+51−5−1+51−5−1+5−1+51−50000000000000000−1+51−50000000000000000000000000000000000
χ1264-4-4-444-44-444-40000000000000000-4400−1−51+51+51+5−1−5−1−51+5−1−51+5−1−5−1−51+500000000000000001+5−1−500−1+51−51−51−5−1+5−1+51−5−1+51−5−1+5−1+51−500000000000000001−5−1+50000000000000000000000000000000000
χ1278-88-8-888-8000000000000000000000000−2−252+25−2−252+252+25−2−25−2−252+25000000000000000000000000−2+252−25−2+252−252−25−2+25−2+252−2500000000000000000000000000000000000000000000000000000000
χ1288-8-888-88-8000000000000000000000000−2−252+252+25−2−25−2−252+25−2−252+25000000000000000000000000−2+252−252−25−2+25−2+252−25−2+252−2500000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.