Finite Group Databasebeta

← Group #14457730

Character table — Group #14457730

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11222222222222244444444444444444444444888888888888888888888888888881212121212121212121216161616161616162020202020202424242424242424242424242424244040404040404040406060120120120
order1223445561010202020202244688101012121515202024243030606060606610101010121220202020243030404040406060120120120120120120120120884040404040404040303030306060606024661212488202020204040404040404040246681212242424228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111-11-11-1-111111111-1-11111111-111-1-11-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-11-1-1-1-1-11111-1-1-1-11-111-1-1-1-1-1111-1-1
χ61111111111111111-11-11-1-111111111-1-11111111-111-1-11-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-11-1-111111-1-1-111
χ71111111111111111-11-11-1-111111111-1-11111111-111-1-11-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111-111111-1-1-1-111111-111-1-1-1-1-1-1-1-111
χ81111111111111111-11-11-1-111111111-1-11111111-111-1-11-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111111-1-1-1-11111-11-1-111111111-1-1
χ9111111111111111-11-111-1-111111111-1-1111111-11-1-111-11-1-111-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111111111-1-11-1-1-1-1-1-1-1-11111-11-1-1-111-1-111-11-1
χ10111111111111111-11-111-1-111111111-1-1111111-11-1-111-11-1-111-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1111-1-111-1-11-11
χ11111111111111111-11-111-1-111111111-1-1111111-11-1-111-11-1-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-111111111-1-1-1-1-11-1-1-111-1-1-1-11-11
χ12111111111111111-11-111-1-111111111-1-1111111-11-1-111-11-1-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-111111111-1-1-1-11-1111-1-11111-11-1
χ13111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11
χ14111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-111-1
χ15111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-111111111-1-1-1-11-1-111-1-111-1
χ16111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-111-1-111-1-11
χ17222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+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+52000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ18222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522222222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+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+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000-2-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ19222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522-22-22-2-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+521+521−522-2−1−52−1+521+521−52-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−52000000-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ20222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522-22-22-2-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+521+521−522-2−1−52−1+521+521−52-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000002-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ21222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-22-222-2-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-221+521−52−1−52−1+52-221+521−52−1−52−1+52-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ22222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-22-222-2-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-221+521−52−1−52−1+52-221+521−52−1−52−1+52-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−521+521−52−1−52−1+521+521−52−1−52−1+5200000022-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ23222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−52-2-21+521−521+521−522−1−52−1+52−1−52−1−52−1+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+521+521−521+521−521+521−521+521−520000002-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ24222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−52-2-21+521−521+521−522−1−52−1+52−1−52−1−52−1+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+521−52000000-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ25222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522222222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+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+52−1−52000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ26222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522222222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000-2-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ27222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522-22-22-2-2−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−521−521+522-2−1+52−1−521−521+52-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ28222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522-22-22-2-2−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−521−521+522-2−1+52−1−521−521+52-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+52−1+52−1−521−521+52−1+52−1−521−521+520000002-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ29222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-22-222-2-2−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-221−521+52−1+52−1−52-221−521+52−1+52−1−52-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ30222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-22-222-2-2−1+52−1−5222−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-221−521+52−1+52−1−52-221−521+52−1+52−1−52-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+521−521+52−1+52−1−521−521+52−1+52−1−5200000022-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ31222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+52-2-21−521+521−521+522−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−521−521+521−521+521−521+521−521+520000002-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ32222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521+52-2-21−521+521−521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52000000-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ33222-12222-12222222222-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-122-1-1-1-100000000000000022-1-12-1-1-1-100000
χ34222-12222-12222222222-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-2-21111000000000000000-2-211-2111100000
χ35222-12222-12222222-22-2-1-2-222-1-1-1-12211-1-1-1-1-1-1-1122-2-2-1122-2-21-1-1-2-2-2-2-1-1111111110000000000-1-111-1-11122-1-1-1-10000000000000002-2-1-1-2111100000
χ36222-12222-12222222-22-2-1-2-222-1-1-1-12211-1-1-1-1-1-1-1122-2-2-1122-2-21-1-1-2-2-2-2-1-1111111110000000000-1-111-1-111-2-21111000000000000000-22112-1-1-1-100000
χ37222-12222-1222222-22-22-1-2-222-1-1-1-12211-1-1-1-1-1-11-1-2-2221-1-2-2221-1-1-2-2-2-2-1-111111111000000000011-1-111-1-122-1-1-1-1000000000000000-2211-2-1-11100000
χ38222-12222-1222222-22-22-1-2-222-1-1-1-12211-1-1-1-1-1-11-1-2-2221-1-2-2221-1-1-2-2-2-2-1-111111111000000000011-1-111-1-1-2-211110000000000000002-2-1-1211-1-100000
χ39222-12222-1222222-2-2-2-2-12222-1-1-1-122-1-1-1-1-1-1-1-111-2-2-2-211-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-100000000001111111122-1-1-1-1000000000000000-2-211211-1-100000
χ40222-12222-1222222-2-2-2-2-12222-1-1-1-122-1-1-1-1-1-1-1-111-2-2-2-211-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000011111111-2-2111100000000000000022-1-1-2-1-11100000
χ4122-222-22222222220000-200-2-22-222-2-2002222220000000000000-2-20000-2-2000000002-222-2-222-2-2000000002-222-2-20000000000000000000000002-2000
χ4222-222-22222222220000-200-2-22-222-2-2002222220000000000000-2-20000-2-2000000002-222-2-222-2-200000000-22-2-222000000000000000000000000-22000
χ4322-222-22222222220000-200-2-22-222-2-2002222220000000000000-2-20000-2-200000000-22-2-222-2-222000000002-222-2-2000000000000000000000000-22000
χ4422-222-22222222220000-200-2-22-222-2-2002222220000000000000-2-20000-2-200000000-22-2-222-2-22200000000-22-2-2220000000000000000000000002-2000
χ4522-22-2222222-2-2-2-222-2-2-22-2-2-2-222222-2-222-2-2-2-2222222-2-2-2-2-2-22-2-22-22-22222-2-222-2-200000000002222-2-2-2-200000000000000000000000000000000000
χ4622-22-2222222-2-2-2-22-2-22-2-22-2-2-2222222222-2-2-2-22-222-2-2-22-2-222-2-2-2-22-2222-2-222-2-222000000000022-2-2-2-22200000000000000000000000000000000000
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χ1198-80-400−2+25−2−2542−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ118000000000001−51+50026−26−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118000000000000000000000−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ10300000000000000000000000000000000000000000000000000000
χ1208-80-400−2+25−2−2542−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ118000000000001−51+500−2626−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118000000000000000000000ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ10300000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.