Finite Group Databasebeta

← Group #12072777

Character table — Group #12072777

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222222444444444444444444444444488888888888888888888888888881616161616161616161616161616161616164040404040404040404040408080
order1222224455101010101010444441010101020202020202020202020202020202020444488882020202040404040404040404040404040404040442020202020202020202020202020202022444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-111-1-1
χ611111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-11-1-111
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-11-1-1-11-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-1111-1111-1-1
χ9111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111-111-111-1-1-1-11-1
χ10111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-11-1-11-1-11111-11
χ11111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-111-11
χ12111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-11-1
χ13111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-1-11111-11-1-1-11
χ14111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1111-1-1-1-11-1111-1
χ15111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-11-1-1-111-1-1-11111-1
χ16111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1111-1-1111-1-1-1-11
χ1722222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2220000000000000000000000000000000000020-202000-20000
χ1822222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-22200000000000000000000000000000000000-2020-200020000
χ1922222222−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−5200000000000000
χ2022222222−1+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+52−1−52−1−522222-2-2-2-2−1+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+5200000000000000
χ2122222222−1+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+52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ2222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5200000000000000
χ2322222222−1−52−1+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+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+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+5200000000000000
χ2422222222−1−52−1+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+522222-2-2-2-2−1−52−1+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+521−521−5200000000000000
χ2522222222−1−52−1+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+52-2-2-2-22222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ2622222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+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+5200000000000000
χ27222222-2-222222222-222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000020-20-200020000
χ28222222-2-222222222-222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000000-20202000-20000
χ29222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-22-222-2-2−1+52−1−521−521+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+5200000000000000
χ30222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-22-2-2-222−1+52−1−521−521+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+52−1−52−1−5200000000000000
χ31222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22-2222-2-2−1+52−1−521−521+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+52−1−52−1−5200000000000000
χ32222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22-22-2-222−1+52−1−521−521+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+5200000000000000
χ33222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-22-222-2-2−1−52−1+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+521−521−5200000000000000
χ34222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-22-2-2-222−1−52−1+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+5200000000000000
χ35222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22-2222-2-2−1−52−1+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+5200000000000000
χ36222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22-22-2-222−1−52−1+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+521−521−5200000000000000
χ372222-2-22222222222-22-22-2-2-2-2-222-2-222-2-22222222200000000-2-2-2-200000000000000000000000000000000002020-2000-200000
χ382222-2-22222222222-22-22-2-2-2-2-222-2-222-2-22222222200000000-2-2-2-20000000000000000000000000000000000-20-202000200000
χ392222-2-22222222222-2-22-22-2-2-2-2-2-222-2-2222222-2-2-2-22-2-22000022-2-20000000000000000002-22-22-22-20000000000000000000000
χ402222-2-22222222222-2-22-22-2-2-2-2-2-222-2-2222222-2-2-2-2-222-2000022-2-2000000000000000000-22-22-22-220000000000000000000000
χ412222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-221−521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2-220000−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1+521−52−1−521+52−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ422222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-221−521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2-220000−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1+521−52−1−521+52−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ432222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-221−521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-222-20000−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14001−52−1+521+52−1−521−52−1+521+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ442222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-221−521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-222-20000−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14001−52−1+521+52−1−521−52−1+521+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ452222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-221+521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-2-220000−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−1−521+52−1+521−52−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ462222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-221+521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-2-220000−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−1−521+52−1+521−52−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ472222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-221+521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-222-20000−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38001+52−1−521−52−1+521+52−1−521−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
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χ1018-8-8800−8i8i−2−25−2+252+252−25−2−252+25−2+252−25000000000000000004ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000

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