Finite Group Databasebeta

← Group #12141756

Character table — Group #12141756

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222244444444444444448888888888888888101010101616161616161616161616161616161616161616161616161616202020202020202020204040404040408080
order1222224444551010101010104444101010102020202020202020244444882020202020202020888848101020202020202020202020202020204040404040404040224488888844448848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111-111-1-1-1-1-1111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11
χ61111111111111111111111111111111111-111-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1
χ71111111111111111111111111111111111-1-1-111-1-1-11111111111111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1
χ81111111111111111111111111111111111-1-1-111-1-1-111111111-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11
χ9111111111111111111-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1
χ10111111111111111111-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-11
χ11111111111111111111-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11
χ12111111111111111111-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1
χ13111111111111111111-1-1-1-1111111111111-11111-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ14111111111111111111-1-1-1-1111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ15111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ172222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022−1+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+52−1−52−1−52000000000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2−1+52−1−521−521+521−521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-221−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-222-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-21−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222-2-22-2-21−521−521−521−521+521+521+521+5200002-2−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2222-2-21−521−521−521−521+521+521+521+520000-22−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22222-2221−521−521−521−521+521+521+521+520000-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2221−521−521−521−521+521+521+521+520000221−521+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+52−1−52−1−52000000000000000000
χ252222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022−1−52−1+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+52000000000000000000
χ262222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-2222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2−1−52−1+521+521−521+521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-221+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ282222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-21+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+521−521−521+521+521−521−52000000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222-2-22-2-21+521+521+521+521−521−521−521−5200002-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2222-2-21+521+521+521+521−521−521−521−520000-22−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22222-2221+521+521+521+521−521−521−521−520000-2-21+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2221+521+521+521+521−521−521−521−520000221+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+52000000000000000000
χ332222-2-22-22-2222222220000-2-2-2-22-22-22-22-202-200000000000002222000022-2-20000000000000000000000-2-200002-2000000
χ342222-2-22-22-2222222220000-2-2-2-22-22-22-22-202-20000000000000-2-2-2-2000022-2-20000000000000000000000220000-22000000
χ352222-2-22-22-2222222220000-2-2-2-22-22-22-22-20-22000000000000022220000-2-2220000000000000000000000-2-20000-22000000
χ362222-2-22-22-2222222220000-2-2-2-22-22-22-22-20-220000000000000-2-2-2-20000-2-22200000000000000000000002200002-2000000
χ372222-2-2-22-22222222220000-2-2-2-2-22-22-22-2220000-200000000000000002200000000-2-200000000000022-2-20022-2-200000000
χ382222-2-2-22-22222222220000-2-2-2-2-22-22-22-2220000-200000000000000002200000000-2-2000000000000-2-22200-2-22200000000
χ392222-2-2-22-22222222220000-2-2-2-2-22-22-22-22-2000020000000000000000-2-2000000002200000000000022-2-200-2-22200000000
χ402222-2-2-22-22222222220000-2-2-2-2-22-22-22-22-2000020000000000000000-2-20000000022000000000000-2-2220022-2-200000000
χ412-2-222-22-2-2222-2-2-2-2222i2i−2i−2i22-2-22-22-2-22-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002-22-200000000002i−2i00
χ422-2-222-22-2-2222-2-2-2-2222i2i−2i−2i22-2-22-22-2-22-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-22-220000000000−2i2i00
χ432-2-222-22-2-2222-2-2-2-222−2i−2i2i2i22-2-22-22-2-22-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000002-22-20000000000−2i2i00
χ442-2-222-22-2-2222-2-2-2-222−2i−2i2i2i22-2-22-22-2-22-2200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000-22-2200000000002i−2i00
χ452-2-222-2-222-222-2-2-2-222000022-2-2-22-222-22-20002i−2i0000000000022-2-2000000002i−2i2i−2i0000000000000000002-20000002i−2i0000
χ462-2-222-2-222-222-2-2-2-222000022-2-2-22-222-22-20002i−2i00000000000-2-222000000002i−2i2i−2i000000000000000000-22000000−2i2i0000
χ472-2-222-2-222-222-2-2-2-222000022-2-2-22-222-22-2000−2i2i0000000000022-2-200000000−2i2i−2i2i0000000000000000002-2000000−2i2i0000
χ482-2-222-2-222-222-2-2-2-222000022-2-2-22-222-22-2000−2i2i00000000000-2-22200000000−2i2i−2i2i000000000000000000-220000002i−2i0000
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χ624444-4-4-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500001−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−540000-40000000000000000−1+5−1−5000000001−51+5000000000000000000000000000000
χ634444-4-4-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500001−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−5-40000400000000000000001−51+500000000−1+5−1−5000000000000000000000000000000
χ644444-4-4-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500001+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+540000-40000000000000000−1−5−1+5000000001+51−5000000000000000000000000000000
χ654444-4-4-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+500001+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+5-40000400000000000000001+51−500000000−1−5−1+5000000000000000000000000000000
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χ744-4-444-44-4-44−1+5−1−51−51+51−51+5−1+5−1−54i4i−4i−4i−1+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−500000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ754-4-444-44-4-44−1+5−1−51−51+51−51+5−1+5−1−5−4i−4i4i4i−1+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−5000000002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ764-4-444-44-4-44−1−5−1+51+51−51+51−5−1−5−1+54i4i−4i−4i−1−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+500000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000
χ774-4-444-44-4-44−1−5−1+51+51−51+51−5−1−5−1+5−4i−4i4i4i−1−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+5000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ784-4-444-4-444-4−1+5−1−51−51+51−51+5−1+5−1−50000−1+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+50004i−4i00000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000
χ794-4-444-4-444-4−1+5−1−51−51+51−51+5−1+5−1−50000−1+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+5000−4i4i000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000
χ804-4-444-4-444-4−1−5−1+51+51−51+51−5−1−5−1+50000−1−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−50004i−4i00000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000
χ814-4-444-4-444-4−1−5−1+51+51−51+51−5−1−5−1+50000−1−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−5000−4i4i000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000
χ824-4-44-4444-4-444-4-4-4-4440000-4-4444444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ834-4-44-4444-4-4−1+5−1−51−51+51−51+5−1+5−1−500001−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000
χ844-4-44-4444-4-4−1+5−1−51−51+51−51+5−1+5−1−500001−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000
χ854-4-44-4444-4-4−1−5−1+51+51−51+51−5−1−5−1+500001+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000
χ864-4-44-4444-4-4−1−5−1+51+51−51+51−5−1−5−1+500001+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000
χ874-4-44-44-4-444−1+5−1−51−51+51−51+5−1+5−1−500001−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000004-4000000000000000000000000000000−1+51−5−1−51+50000000000000000000000
χ884-4-44-44-4-444−1+5−1−51−51+51−51+5−1+5−1−500001−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5000000-440000000000000000000000000000001−5−1+51+5−1−50000000000000000000000
χ894-4-44-44-4-444−1−5−1+51+51−51+51−5−1−5−1+500001+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000004-4000000000000000000000000000000−1−51+5−1+51−50000000000000000000000
χ904-4-44-44-4-444−1−5−1+51+51−51+51−5−1−5−1+500001+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5000000-440000000000000000000000000000001+5−1−51−5−1+50000000000000000000000
χ9188-8-8000000−2+25−2−25−2+25−2−252−252+252−252+254-44-400000000000000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000000000000000
χ9288-8-8000000−2+25−2−25−2+25−2−252−252+252−252+25-44-44000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000000000
χ9388-8-8000000−2−25−2+25−2−25−2+252+252−252+252−254-44-400000000000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000000000
χ9488-8-8000000−2−25−2+25−2−25−2+252+252−252+252−25-44-44000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000000000
χ958-88-8000000−2+25−2−252−252+25−2+25−2−252−252+254i−4i−4i4i00000000000000000000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000
χ968-88-8000000−2+25−2−252−252+25−2+25−2−252−252+25−4i4i4i−4i000000000000000000002ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
χ978-88-8000000−2−25−2+252+252−25−2−25−2+252+252−254i−4i−4i4i00000000000000000000−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ988-88-8000000−2−25−2+252+252−25−2−25−2+252+252−25−4i4i4i−4i000000000000000000002ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000

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