Finite Group Databasebeta

← Group #12970641

Character table — Group #12970641

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222444444444444888888888888888888888881616161620202020202040404040401111222222222244444444444488888888888888888888888161616162020202020204040404040
order1222445510101010101024882020202020202020244481010101010102020202040404040404040402020202044448822448222244101010101010101024882020202020202020244481010101010102020202040404040404040402020202044448822448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11
χ411111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111-1-1111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111111111111111-1-1111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1
χ61111111111111111-1-1111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111-1-1111111111-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111-1-111111111-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11111111111111111-1-111111111-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1
χ81111111111111111-1-111111111-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111111111111-1-111111111-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11
χ911111111111111-1-111-1-1-1-111111-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1111-11-1-111111111111111-1-111-1-1-1-111111-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1111-11-1-1
χ1011111111111111-1-111-1-1-1-111111-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-11-11111111111111111-1-111-1-1-1-111111-1-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-11-111
χ1111111111111111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11-111-11-11-111111111111111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11-111-11-11-1
χ1211111111111111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-11-1-11-11-1111111111111111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-11-1-11-11-11
χ1311111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-11-11-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-11-11-1-1-11-1-111
χ1411111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-1111-111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-1111-111-1-1
χ1511111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1-1-1-111-1111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1-1-1-111-11
χ1611111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11111-1-11-111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11111-1-11-1
χ17222222−1+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+52−1−52−1−5222222−1+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+52−1−5200000000000222222−1+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+52−1−52−1−5222222−1+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+52−1−5200000000000
χ18222222−1+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+52−1−52−1−52-2-2-2-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000000000222222−1+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+52−1−52−1−52-2-2-2-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+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+5200000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-2-2−1+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+5200000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-22-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5200000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-22-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5200000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−522-2-22-21−521+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+52−1−5200000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−522-2-22-21−521+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+52−1−5200000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−52-222-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+5200000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−52-222-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+5200000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−5222-2-221−521+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+5200000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−5222-2-221−521+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+5200000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-22221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−5200000000000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52-2-22221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−5200000000000
χ25222222−1−52−1+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+5222222−1−52−1+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+5200000000000222222−1−52−1+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+5222222−1−52−1+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+5200000000000
χ26222222−1−52−1+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+52-2-2-2-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000000000222222−1−52−1+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+52-2-2-2-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1+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+521−5200000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-2-2−1−52−1+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+521−5200000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-22-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+5200000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-22-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+5200000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+522-2-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+5200000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+522-2-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+5200000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+52-222-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−5200000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+52-222-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−5200000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+5222-2-221+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−5200000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+5222-2-221+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−5200000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-22221+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+521+521−52−1−52−1+5200000000000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-22221+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+521+521−52−1−52−1+5200000000000
χ332222-2-2222222222-200-2-2-2-2-2-2-2-20000022000000000000000000002-2-2200000002222-2-2222222222-200-2-2-2-2-2-2-2-20000022000000000000000000002-2-220000000
χ342222-2-2222222222-200-2-2-2-2-2-2-2-2000002200000000000000000000-222-200000002222-2-2222222222-200-2-2-2-2-2-2-2-2000002200000000000000000000-222-20000000
χ352222-2-222222222-22002222-2-2-2-200000-2-20000000000000000000022-2-200000002222-2-222222222-22002222-2-2-2-200000-2-20000000000000000000022-2-20000000
χ362222-2-222222222-22002222-2-2-2-200000-2-200000000000000000000-2-22200000002222-2-222222222-22002222-2-2-2-200000-2-200000000000000000000-2-2220000000
χ374444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4001−51−51+51+51−51−51+51+500000−1+5−1−500000000000000000000000000000004444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4001−51−51+51+51−51−51+51+500000−1+5−1−50000000000000000000000000000000
χ384444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4400−1+5−1+5−1−5−1−51−51−51+51+5000001−51+500000000000000000000000000000004444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4400−1+5−1+5−1−5−1−51−51−51+51+5000001−51+50000000000000000000000000000000
χ394444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4001+51+51−51−51+51+51−51−500000−1−5−1+500000000000000000000000000000004444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4001+51+51−51−51+51+51−51−500000−1−5−1+50000000000000000000000000000000
χ404444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4400−1−5−1−5−1+5−1+51+51+51−51−5000001+51−500000000000000000000000000000004444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4400−1−5−1−5−1+5−1+51+51+51−51−5000001+51−50000000000000000000000000000000
χ4144-4-40044-4-444-4-4002i2−2i2000000000000000000000002i2−2i22i2−2i2000000000000000000044-4-40044-4-444-4-4002i2−2i2000000000000000000000002i2−2i22i2−2i20000000000000000000
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χ1224-44-4-44−1+5−1−51−51+51−51+5−1+5−1−5000000001−5−1+51+5−1−500000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000-44-444-41−51+5−1+5−1−5−1+5−1−51−51+500000000−1+51−5−1−51+5000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000
χ1234-44-4-44−1−5−1+51+51−51+51−5−1−5−1+5000000001+5−1−51−5−1+500000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000-44-444-41+51−5−1−5−1+5−1−5−1+51+51−500000000−1−51+5−1+51−5000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000
χ1244-44-4-44−1−5−1+51+51−51+51−5−1−5−1+5000000001+5−1−51−5−1+5000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000-44-444-41+51−5−1−5−1+5−1−5−1+51+51−500000000−1−51+5−1+51−500000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000
χ1254-4-44004444-4-4-4-400000000000000000000000000000000000000000002i2−2i200000-444-400-4-4-4-444440000000000000000000000000000000000000000000−2i22i200000
χ1264-4-44004444-4-4-4-40000000000000000000000000000000000000000000−2i22i200000-444-400-4-4-4-4444400000000000000000000000000000000000000000002i2−2i200000
χ1278-8-8800−2+25−2−25−2+25−2−252−252+252−252+2500000000000000000000000000000000000000000000000000-888-8002−252+252−252+25−2+25−2−25−2+25−2−2500000000000000000000000000000000000000000000000000
χ1288-8-8800−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000000000000000000000000000000000-888-8002+252−252+252−25−2−25−2+25−2−25−2+2500000000000000000000000000000000000000000000000000

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