Finite Group Databasebeta

← Group #12199096

Character table — Group #12199096

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111111122222222222222222222444444444444888888888888888888888888888888881616161616161616161616161616161616162020202020202020202020204040404040408080
order1222222244445510101010101010101010101010104444202020202020202022448888202020202020202040404040404040404040404040404040441010101020202020202020202020202044448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1
χ91111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-11
χ101111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111-1
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11
χ131111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-11-1
χ141111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-11
χ151111111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11
χ161111111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1
χ17222222222222−1+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+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−5200000000000000000000
χ18222222222222−1+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ19222222222222−1+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ20222222222222−1+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ21222222222222−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ22222222222222−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222222−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ24222222222222−1+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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ25222222222222−1−52−1+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+522222−1−52−1−52−1+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+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+5222−1−52−1−52−1+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+5200000000000000000000
χ26222222222222−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ27222222222222−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ28222222222222−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ29222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-21+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+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ30222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2221+521+521−521−521+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+52-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ31222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222-2-21+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+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ32222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-2221+521+521−521−521+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+522-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3322222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000000022-2-20000000000-220000
χ3422222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000000000-2-22200000000002-20000
χ3522222222-2-2-2-22222222222222222-2-222-2-2-2-2-2-2-2-200000000-2-2-2-22222000000000000000000000000000000000022-2-200000000002-20000
χ3622222222-2-2-2-22222222222222222-2-222-2-2-2-2-2-2-2-200000000-2-2-2-222220000000000000000000000000000000000-2-2220000000000-220000
χ3722-22-2-22-22-22-2222-22-22-22-22-22-2-2-200002-22-22-22-20000002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000002-22-200002i2i−2i−2i00000000
χ3822-22-2-22-22-22-2222-22-22-22-22-22-2-2-200002-22-22-22-20000002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000-22-220000−2i−2i2i2i00000000
χ3922-22-2-22-22-22-2222-22-22-22-22-22-2-2-200002-22-22-22-2000000−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000002-22-20000−2i−2i2i2i00000000
χ4022-22-2-22-22-22-2222-22-22-22-22-22-2-2-200002-22-22-22-2000000−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000-22-2200002i2i−2i−2i00000000
χ4122-22-2-22-2-22-22222-22-22-22-22-22-2-2-20000-22-22-22-2200002i−2i00000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000002-2-222i2i−2i−2i000000000000
χ4222-22-2-22-2-22-22222-22-22-22-22-22-2-2-20000-22-22-22-2200002i−2i00000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000-222-2−2i−2i2i2i000000000000
χ4322-22-2-22-2-22-22222-22-22-22-22-22-2-2-20000-22-22-22-220000−2i2i0000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000002-2-22−2i−2i2i2i000000000000
χ4422-22-2-22-2-22-22222-22-22-22-22-22-2-2-20000-22-22-22-220000−2i2i0000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000-222-22i2i−2i−2i000000000000
χ4522-2-22-2-222-2-2222-22-222-22-2-22-22-2-22i−2i2i−2i2-22-2-22-22000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000002-2002i−2i00
χ4622-2-22-2-222-2-2222-22-222-22-2-22-22-2-22i−2i2i−2i2-22-2-22-22000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000-2200−2i2i00
χ4722-2-22-2-222-2-2222-22-222-22-2-22-22-2-2−2i2i−2i2i2-22-2-22-2200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000002-200−2i2i00
χ4822-2-22-2-222-2-2222-22-222-22-2-22-22-2-2−2i2i−2i2i2-22-2-22-2200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000-22002i−2i00
χ4922-2-22-2-22-222-222-22-222-22-2-22-22-2-22i−2i−2i2i-22-222-22-22-22i−2i00002i−2i2i−2i−2i2i−2i2i0000000000000000002-22-22i−2i2i−2i0000000000000000000000000000
χ5022-2-22-2-22-222-222-22-222-22-2-22-22-2-22i−2i−2i2i-22-222-22-2-22−2i2i00002i−2i2i−2i−2i2i−2i2i000000000000000000-22-22−2i2i−2i2i0000000000000000000000000000
χ5122-2-22-2-22-222-222-22-222-22-2-22-22-2-2−2i2i2i−2i-22-222-22-22-2−2i2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000002-22-2−2i2i−2i2i0000000000000000000000000000
χ5222-2-22-2-22-222-222-22-222-22-2-22-22-2-2−2i2i2i−2i-22-222-22-2-222i−2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000-22-222i−2i2i−2i0000000000000000000000000000
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χ9144-4-44-4-444-4-44−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−51+54i−4i4i−4i−1+51−5−1−51+51−5−1+51+5−1−500000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000000000
χ9244-4-44-4-444-4-44−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−51+5−4i4i−4i4i−1+51−5−1−51+51−5−1+51+5−1−5000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000000000
χ9344-4-44-4-444-4-44−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+51−54i−4i4i−4i−1−51+5−1+51−51+5−1−51−5−1+500000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000000000000000000000
χ9444-4-44-4-444-4-44−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+51−5−4i4i−4i4i−1−51+5−1+51−51+5−1−51−5−1+5000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000000000
χ954-4444-4-4-4000044-4-4-4-4-44-444444-4-40000000000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ964-4444-4-4-4000044-4-4-4-4-44-444444-4-4000000000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ974-44-4-4-4440000444444-44-44-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000
χ984-44-4-4-4440000444444-44-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000−2i22i2−2i22i200000000
χ994-4-44-44-44000044-44-44-4-4-4-44-44-44400000000000000000000000000000000000000000000000000000000000000000022−22−2222000000000000
χ1004-4-44-44-44000044-44-44-4-4-4-44-44-444000000000000000000000000000000000000000000000000000000000000000000−222222−22000000000000
χ1014-4-4-4444-40000444-44-4-4-4-4-4-44-4444000000000000000000000000000000000000000000000000000000000000000000000022−22−222200000000
χ1024-4-4-4444-40000444-44-4-4-4-4-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000−222222−2200000000
χ1038-8888-8-8-80000−2+25−2−252−252−252+252+252−25−2+252+25−2−25−2+25−2+25−2−25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8888-8-8-80000−2−25−2+252+252+252−252−252+25−2−252−25−2+25−2−25−2−25−2+25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-8-8880000−2+25−2−25−2+25−2+25−2−25−2−252−25−2+252+25−2−252−252−252+252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-8-8880000−2−25−2+25−2−25−2−25−2+25−2+252+25−2−252−25−2+252+252+252−252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-880000−2+25−2−252−25−2+252+25−2−252−252−252+252+25−2+252−25−2−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-880000−2−25−2+252+25−2−252−25−2+252+252+252−252−25−2−252+25−2+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-8-8888-80000−2+25−2−25−2+252−25−2−252+252−252−252+252+252−25−2+252+25−2−25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8-8888-80000−2−25−2+25−2−252+25−2+252−252+252+252−252−252+25−2−252−25−2+25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000

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