Finite Group Databasebeta

← Group #14457867

Character table — Group #14457867

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1122222222244444444444444444444444444444444444444488888888888888888888888888888888888888202020202424242440404040404040404040484848484848484860606060120120
order1223445561010246668810101212121215152020202024243030404040406060606012012012012012012012012081010202024242430303030303040404040404060606060606012012012012012012012012012012012012022444488246666121212122020202040404040248848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-1111-11-1-1-111-1-111-1-11111-1-1
χ61111111111111111-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111-1111-11-1-1-1-1-111-1-111-1-1-1-111
χ71111111111111111-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-1-1-11-111111-1-111-1-1-1-1-1-111
χ81111111111111111-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-1-1-11-1111-1-111-1-1111111-1-1
χ911111111111-1-11-1-111111-1-1111111111111111111111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-11
χ1011111111111-1-11-1-111111-1-1111111111111111111111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1111-1-1-1-1-1-11111-1-1111-1
χ1111111111111-1-11-1-111111-1-1111111111111111111111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1111111-1-1-1-1-1-1111-1
χ1211111111111-1-11-1-111111-1-1111111111111111111111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1111111-1-1-11
χ1311111111111-1-11-1-1-1-1111-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-11-1-11-111-1-1-11-11111-1-1-1-11111-1-11-1
χ1411111111111-1-11-1-1-1-1111-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-1-111-1-111-1-1-11-111-1-11111-1-1-1-111-11
χ1511111111111-1-11-1-1-1-1111-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-111-1-111-1-1111-11-1-111-1-1-1-111-1-111-11
χ1611111111111-1-11-1-1-1-1111-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-11-111-11-1-1111-11-1-1-1-11111-1-111-1-11-1
χ17222222−1−52−1+522−1−52−1+522222222−1−52−1+522222−1−52−1+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+52−1+52−1+522−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022220000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000
χ18222222−1−52−1+522−1−52−1+522222222−1−52−1+522222−1−52−1+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+52−1+52−1+522−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-200000000001+521−521+521−521+521−521+521−52000000
χ19222222−1−52−1+522−1−52−1+5222222-2-2−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+52−1−52−1+52-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−5200002-22-20000000000−1−52−1+521+521−52−1−52−1+521+521−52000000
χ20222222−1−52−1+522−1−52−1+5222222-2-2−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+52−1−52−1+52-2-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−520000-22-2200000000001+521−52−1−52−1+521+521−52−1−52−1+52000000
χ21222222−1−52−1+522−1−52−1+52-2-22-2-222−1−52−1+522-2-22−1−52−1+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+52−1+52−1+52-21+521−521+521−522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000022-2-20000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ22222222−1−52−1+522−1−52−1+52-2-22-2-222−1−52−1+522-2-22−1−52−1+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+52−1+52−1+52-21+521−521+521−522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000-2-22200000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ23222222−1−52−1+522−1−52−1+52-2-22-2-2-2-2−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521−521+521−52-222−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+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+52−1+52−1+5200002-2-220000000000−1−52−1+521+521−521+521−52−1−52−1+52000000
χ24222222−1−52−1+522−1−52−1+52-2-22-2-2-2-2−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5221+521−521+521−52-222−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+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+52−1+52−1+520000-222-200000000001+521−52−1−52−1+52−1−52−1+521+521−52000000
χ25222222−1+52−1−522−1+52−1−522222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022220000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000
χ26222222−1+52−1−522−1+52−1−522222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-200000000001−521+521−521+521−521+521−521+52000000
χ27222222−1+52−1−522−1+52−1−5222222-2-2−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1−52−1+52−1−52-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+5200002-22-20000000000−1+52−1−521−521+52−1+52−1−521−521+52000000
χ28222222−1+52−1−522−1+52−1−5222222-2-2−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1−52−1+52−1−52-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+520000-22-2200000000001−521+52−1+52−1−521−521+52−1+52−1−52000000
χ29222222−1+52−1−522−1+52−1−52-2-22-2-222−1+52−1−522-2-22−1+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+52−1−52−1−52−1−52−1−52-21−521+521−521+522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000022-2-20000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ30222222−1+52−1−522−1+52−1−52-2-22-2-222−1+52−1−522-2-22−1+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+52−1−52−1−52−1−52−1−52-21−521+521−521+522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000-2-22200000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ31222222−1+52−1−522−1+52−1−52-2-22-2-2-2-2−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5221−521+521−521+52-222−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2-220000000000−1+52−1−521−521+521−521+52−1+52−1−52000000
χ32222222−1+52−1−522−1+52−1−52-2-22-2-2-2-2−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5221−521+521−521+52-222−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-222-200000000001−521+52−1+52−1−52−1+52−1−521−521+52000000
χ33222-12222-12222-1-1-12222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-100000000000000
χ34222-12222-12222-1-1-12222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111111100000000000000
χ35222-12222-12222-1-1-1-2-222-1-1-1-1-1-1222211-1-1-2-2-2-2-1-1-1-111111111-22222111-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111111112-22-200002-2-1-1-11-111100000000000000
χ36222-12222-12222-1-1-1-2-222-1-1-1-1-1-1222211-1-1-2-2-2-2-1-1-1-111111111-22222111-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111111111111-22-220000-22111-11-1-1-100000000000000
χ37222-12222-122-2-2-1112222-111-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-111-1-1111122-2-2-2-2-1-11111-1-1-1-11111111122220000-2-2-111-1-1-11100000000000000
χ38222-12222-122-2-2-1112222-111-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-111-1-1111122-2-2-2-2-1-11111-1-1-1-111111111-2-2-2-20000221-1-1111-1-100000000000000
χ39222-12222-122-2-2-111-2-222-111-1-1-1222211-1-1-2-2-2-2-1-1-1-1111111112-2-2-2-21-1-1-1-11111-2-22222-1-111111111-1-1-1-1-1-1-1-12-22-20000-22-1111-11-1-100000000000000
χ40222-12222-122-2-2-111-2-222-111-1-1-1222211-1-1-2-2-2-2-1-1-1-1111111112-2-2-2-21-1-1-1-11111-2-22222-1-111111111-1-1-1-1-1-1-1-1-22-2200002-21-1-1-11-11100000000000000
χ4122-222-22222200-2002-2-2-2-20022222-2-22222222222222222222200000-200-2-20000-2-20000-2-20000-2-2-2-2000000002-2-22000000200-2-220000000000000000
χ4222-222-22222200-2002-2-2-2-20022222-2-22222222222222222222200000-200-2-20000-2-20000-2-20000-2-2-2-200000000-222-2000000-20022-20000000000000000
χ4322-222-22222200-200-22-2-2-20022222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-200000200-2-20000220000-2-2000022220000000022-2-20000002002-2-20000000000000000
χ4422-222-22222200-200-22-2-2-20022222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-200000200-2-20000220000-2-20000222200000000-2-222000000-200-2220000000000000000
χ4522-22-22222222-2-22200-2-22-2-2-222-2-22200220000-2-2-2-200000000022-2-2000-2-2222200000022-2-2-2-2000000000000000000000000000000000000002-22-200
χ4622-22-22222222-2-22200-2-22-2-2-222-2-22200220000-2-2-2-200000000022-2-2000-2-2222200000022-2-2-2-200000000000000000000000000000000000000-22-2200
χ4722-22-2222222-22-2-2-200-2-2222-222-2-22200220000-2-2-2-2000000000-2-222000-2-2-2-2-2-2000000222222000000000000000000000000000000000000002-2-2200
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χ1208-80-400−2+25−2−2542−252+2500000000000001−51+50000−2626−1+5−1−5−2ζ29−2ζ31+2ζ61−2ζ71+2ζ79+2ζ101−2ζ109+2ζ1192ζ29+2ζ31−2ζ61+2ζ71−2ζ79−2ζ101+2ζ109−2ζ119−2ζ7−2ζ13+2ζ23+2ζ37−2ζ47−2ζ53+2ζ77+2ζ1032ζ7+2ζ13−2ζ23−2ζ37+2ζ47+2ζ53−2ζ77−2ζ103−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ31−2ζ101+2ζ109−2ζ119−2ζ31+2ζ101−2ζ109+2ζ1192ζ29−2ζ61+2ζ71−2ζ79−2ζ29+2ζ61−2ζ71+2ζ792ζ7+2ζ13−2ζ23−2ζ77−2ζ7−2ζ13+2ζ23+2ζ77−2ζ37+2ζ47+2ζ53−2ζ1032ζ37−2ζ47−2ζ53+2ζ1030000000000000000000000000000000000000000000000000000000000000000000000

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