Finite Group Databasebeta

← Group #14436238

Character table — Group #14436238

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444888888888888888888888888812121212121212121616161616161616161616202020202020242424242424242424242424303030304040404040404048486060606080120
order122234455666101010101010448812121515202020203030303030304121220202020242440404040606060601201201201201201201201202224202020201220206060606060606060444412124810101010101040404040444448121212242420204488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-11
χ511111111111111111111-1-111111111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-111111111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ711111111111111111111-1-111111111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-11
χ811111111111111111111-1-111111111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1111111-1-11-1
χ9111111111111111111-1-11111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11
χ10111111111111111111-1-11111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-111111-1-111-1-111-1-1111-1
χ11111111111111111111-1-11111111111111111-1-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-11111111111-111-1-111-1-1-1-111-1-1
χ12111111111111111111-1-11111111111111111-1-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111-1-111
χ13111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111111-1-111-111111-1-11111-1-1-1-11-11-1-1-1-1-1-111111-1
χ14111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-111111-1-111111111-11-11111-1-1-1-1-1-1-11
χ15111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1111-1-1-1-1-111-1-1-1-111111-11-1-1-1-111-1-1-1-111
χ16111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111111111-1-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+522222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000−1−52−1+52000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-2-2-21+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-21+521+521−521−521+521−521+521+521−521−52000000000001+521−52000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522222−1−52−1−52−1+52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52000000000001+521−52000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-21+521+521−521−52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000221+521+521−521−521+521−52−1−52−1−52−1+52−1+5200000000000−1−52−1+52000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−5222−1−52−1−52−1+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+5222-2-21+521+521−521−52-21+521−521+521+521−521−521+521+521−521−520000002-2−1−52−1−52−1+52−1+521+521−521+521+521−521−5200000000000−1−52−1+52000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-21+521+521−521−5222−1−52−1−52−1+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+52-2-222−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−52000000-221+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52000000000001+521−52000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-21+521+521−521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000-22−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52000000000001+521−52000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-222−1−52−1−52−1+52−1+522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000002-21+521+521−521−52−1−52−1+521+521+521−521−5200000000000−1−52−1+52000000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000−1+52−1−52000000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-21−521−521+521+521−521+521−521−521+521+52000000000001−521+52000000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522222−1+52−1+52−1−52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000000000001−521+52000000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-21−521−521+521+52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000221−521−521+521+521−521+52−1+52−1+52−1−52−1−5200000000000−1+52−1−52000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-21−521−521+521+52-21−521+521−521−521+521+521−521−521+521+520000002-2−1+52−1+52−1−52−1−521−521+521−521−521+521+5200000000000−1+52−1−52000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+52000000-221−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52000000000001−521+52000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-21−521−521+521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000-22−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52000000000001−521+52000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-222−1+52−1+52−1−52−1−522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000002-21−521−521+521+52−1+52−1−521−521−521+521+5200000000000−1+52−1−52000000
χ3322222-2-2222222222220000-2-222-2-2-2-22222220000000000000-2-2-2-200000000002-2-2-2-2-2000000000002-20022000000220000-2-22200-2000000000000
χ3422222-2-2222222222220000-2-222-2-2-2-22222220000000000000-2-2-2-200000000002-2-2-2-2-200000000000-2200-2-200000022000022-2-2002000000000000
χ3522222-2-2222222222220000-2-222-2-2-2-22222220000000000000-2-2-2-20000000000-222222000000000002-20022000000-2-2000022-2-200-2000000000000
χ3622222-2-2222222222220000-2-222-2-2-2-22222220000000000000-2-2-2-20000000000-22222200000000000-2200-2-2000000-2-20000-2-222002000000000000
χ372222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-122-1-1-1-1-1-1-1-12222-1-1000000000000000022-1-1-1-1-1000000-10
χ382222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-122-1-1-1-1-1-1-1-1-2-2-2-2110000000000000000-2-21111100000010
χ392222-12222-1-1-122222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-1-1222211-2-2-2-2-1-1-1-111111111000000001-2-2-1-1-1-111112222-1-10000000000000000-2-2-1-1-11100000010
χ402222-12222-1-1-122222222-2-2-1-1-1-12222-1-1-1-1-1-1-2-1-1222211-2-2-2-2-1-1-1-111111111000000001-2-2-1-1-1-11111-2-2-2-211000000000000000022111-1-1000000-10
χ412222-12222-1-1-1222222-2-222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000001-2-21111111122-2-2-1-10000000000000000-22-111-1-100000010
χ422222-12222-1-1-1222222-2-222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000001-2-211111111-2-2221100000000000000002-21-1-111000000-10
χ432222-12222-1-1-1222222-2-2-2-2-1-1-1-12222-1-1-1-1-1-1211-2-2-2-211-2-2-2-2-1-1-1-11111111100000000-1221111-1-1-1-122-2-2-1-100000000000000002-2-11111000000-10
χ442222-12222-1-1-1222222-2-2-2-2-1-1-1-12222-1-1-1-1-1-1211-2-2-2-211-2-2-2-2-1-1-1-11111111100000000-1221111-1-1-1-1-2-222110000000000000000-221-1-1-1-100000010
χ4522-2-222-222-22-2-2-2-2-2222-200-222222-2-2-2-2-2-22202-22-22-2000000-2-22200000000000000000002-22-200000000000000000000002i−2i2i−2i0000000002i−2i0000
χ4622-2-222-222-22-2-2-2-2-2222-200-222222-2-2-2-2-2-22202-22-22-2000000-2-22200000000000000000002-22-20000000000000000000000−2i2i−2i2i000000000−2i2i0000
χ4722-2-222-222-22-2-2-2-2-222-2200-222222-2-2-2-2-2-2220-22-22-22000000-2-2220000000000000000000-22-2200000000000000000000002i−2i2i−2i000000000−2i2i0000
χ4822-2-222-222-22-2-2-2-2-222-2200-222222-2-2-2-2-2-2220-22-22-22000000-2-2220000000000000000000-22-220000000000000000000000−2i2i−2i2i0000000002i−2i0000
χ4922-2-22-2222-22-2-2-2-2-22200002-222-2-222-2-2-2-222000000000000022-2-2000000002-200000000000000000002i−2i00002-22-20000002i−2i−2i2i0002i−2i0000000000
χ5022-2-22-2222-22-2-2-2-2-22200002-222-2-222-2-2-2-222000000000000022-2-2000000002-20000000000000000000−2i2i00002-22-2000000−2i2i2i−2i000−2i2i0000000000
χ5122-2-22-2222-22-2-2-2-2-22200002-222-2-222-2-2-2-222000000000000022-2-200000000-2200000000000000000002i−2i0000-22-22000000−2i2i2i−2i0002i−2i0000000000
χ5222-2-22-2222-22-2-2-2-2-22200002-222-2-222-2-2-2-222000000000000022-2-200000000-220000000000000000000−2i2i0000-22-220000002i−2i−2i2i000−2i2i0000000000
χ5344444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+50000-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+500000000000001+51−51+51−500000000004-41+51+51−51−500000000000000000000000−1−5−1+500000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.