Finite Group Databasebeta

← Group #12138092

Character table — Group #12138092

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111111122222222222222222222444444444444888888888888888888888888888888881616161616161616161616161616161616162020202020202020202020204040404040408080
order1222222244445510101010101010101010101010104444202020202020202022448888202020202020202040404040404040404040404040404040241010101010101010202020202020202022448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-111-1-1-1
χ91111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-11
χ101111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-11
χ131111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-111-11-1
χ141111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11-11
χ151111111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-111-1-11
χ161111111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1
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+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−521+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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
χ3322222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-2000000000000000000000000000000000022-2-20000000000-200200
χ3422222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-20000000000000000000000000000000000-2-2220000000000200-200
χ3522222222-2-2-2-22222222222222222-2-222-2-2-2-2-2-2-2-200000000-2-222-2-222000000000000000000000000000000000022-2-20000000000200-200
χ3622222222-2-2-2-22222222222222222-2-222-2-2-2-2-2-2-2-200000000-2-222-2-2220000000000000000000000000000000000-2-2220000000000-200200
χ3722-22-22-2-22-22-22222222-2-22-2-2-2-2-2-22i−2i2i−2i2-22-22-22-2000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000002-202i−2i000
χ3822-22-22-2-22-22-22222222-2-22-2-2-2-2-2-22i−2i2i−2i2-22-22-22-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000-220−2i2i000
χ3922-22-22-2-22-22-22222222-2-22-2-2-2-2-2-2−2i2i−2i2i2-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000002-20−2i2i000
χ4022-22-22-2-22-22-22222222-2-22-2-2-2-2-2-2−2i2i−2i2i2-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000-2202i−2i000
χ4122-22-22-2-2-22-222222222-2-22-2-2-2-2-2-22i−2i−2i2i-22-22-22-222-22i−2i00002i−2i−2i2i2i−2i−2i2i0000000000000000002-22-200002i−2i2i−2i000000000000000000000000
χ4222-22-22-2-2-22-222222222-2-22-2-2-2-2-2-22i−2i−2i2i-22-22-22-22-22−2i2i00002i−2i−2i2i2i−2i−2i2i000000000000000000-22-220000−2i2i−2i2i000000000000000000000000
χ4322-22-22-2-2-22-222222222-2-22-2-2-2-2-2-2−2i2i2i−2i-22-22-22-222-2−2i2i0000−2i2i2i−2i−2i2i2i−2i0000000000000000002-22-20000−2i2i−2i2i000000000000000000000000
χ4422-22-22-2-2-22-222222222-2-22-2-2-2-2-2-2−2i2i2i−2i-22-22-22-22-222i−2i0000−2i2i2i−2i−2i2i2i−2i000000000000000000-22-2200002i−2i2i−2i000000000000000000000000
χ4522-22-22-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+521−521−521+521+522i−2i−2i2i1−52−1+521+52−1−521−52−1+521+52−1−522-22i−2i0000−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000
χ4622-22-22-2-2-22-22−1+52−1−52−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+521−521−521+521+522i−2i−2i2i1−52−1+521+52−1−521−52−1+521+52−1−522-22i−2i0000−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000
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χ954-4-444-4-4444-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−50000−1−5−1−5−1+5−1+51+51+51−51−50000004i−4i0000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ964-4-444-4-4444-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−50000−1−5−1−5−1+5−1+51+51+51−51−5000000−4i4i00000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ974-4-444-4-44-4-444−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+500001−51−51+51+5−1+5−1+5−1−5−1−500004-40000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000000000
χ984-4-444-4-44-4-444−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+500001−51−51+51+5−1+5−1+5−1−5−1−50000-4400000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000000
χ994-4-444-4-44-4-444−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−500001+51+51−51−5−1−5−1−5−1+5−1+500004-40000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000000000
χ1004-4-444-4-44-4-444−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−500001+51+51−51−5−1−5−1−5−1+5−1+50000-4400000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000000
χ1014-4-4-4444-4000044-44-44-44-4-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000022−22−222200000000
χ1024-4-4-4444-4000044-44-44-44-4-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000−222222−2200000000
χ103888-88-8-8-80000−2+25−2−25−2+252−25−2−252+252−25−2+252−252+25−2−252+25−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ104888-88-8-8-80000−2−25−2+25−2−252+25−2+252−252+25−2−252+252−25−2+252−25−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-8-8880000−2+25−2−25−2+252−25−2−252+252−252−25−2+252+252+25−2−252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-8880000−2−25−2+25−2−252+25−2+252−252+252+25−2−252−252−25−2+252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-880000−2+25−2−252−25−2+252+25−2−252−252−25−2+252+252+25−2−25−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-880000−2−25−2+252+25−2−252−25−2+252+252+25−2−252−252−25−2+25−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-8-8888-80000−2+25−2−252−25−2+252+25−2−252−25−2+252−252+25−2−252+252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-8-8888-80000−2−25−2+252+25−2−252−25−2+252+25−2−252+252−25−2+252−252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000

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