Finite Group Databasebeta

← Group #14430751

Character table — Group #14430751

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444466888888888888888888888888881010121212121212121616161616161616161616202020202024242424242424242424242430303030404040404040404848606080120120
order122234455666101010101010441212151520202020303030303030444812122020202024244040404060606060120120120120120120120120444442020202012202060606060606060604441212482020202020204040404022444812121224242020221248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-11111-1-1111-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1111
χ51111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1
χ61111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111
χ71111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-111
χ81111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-11111111-1-1
χ9111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-11-1-1111-111-1-1-1-1-1-1-1-111111-11-1-1-1-111-1-111-1
χ10111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-11
χ11111111111111111111-1-11111111111111111-11-1-1-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-111111111-111-1-111-1-1-1-1-1-11
χ12111111111111111111-1-11111111111111111-11-1-1-1-1-1-1111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11111-1
χ13111111111111111111-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-11111111-1-1-1-11-1-111-11-1-111111111-1-1-1-11-11-1-1-1-1-1-1111-11
χ14111111111111111111-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-111-1-1-11-1-1111111111111-11-11111-1-1-1-1-11-1
χ15111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-11-1
χ16111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-1111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-1-111111-1-111-1-111-1-11-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+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+5200222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200222−1−52−1−52−1+52−1+52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000001+521−5200000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1−52−1+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+5200-2-2-21+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000-2-21+521−521+521+521−521−521+521+521−521−52000000000001+521−5200000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-2-21+521+521−521−52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000221+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000−1−52−1+5200000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52002-2-2−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000002-2−1−52−1+521+521+521−521−521+521+521−521−5200000000000−1−52−1+5200000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-22-2-21+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+52002-2-2−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−5200000-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000001+521−5200000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2221+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000001+521−5200000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-2-21+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+5200-2221+521+521−521−52-21+521−521+521+521−521−521+521+521−521−52000002-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000−1−52−1+5200000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−5200222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000−1+52−1−5200000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222−1+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+5200222−1+52−1+52−1−52−1−52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000001−521+5200000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222−1+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+52−1−52−1−52−1−52−1−5200-2-2-21−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000-2-21−521+521−521−521+521+521−521−521+521+52000000000001−521+5200000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+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+5200-2-2-21−521−521+521+52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000221−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000−1+52−1−5200000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52002-2-2−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000002-2−1+52−1−521−521−521+521+521−521−521+521+5200000000000−1+52−1−5200000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-22-2-21−521−521+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+52−1−52−1−52−1−52−1−52002-2-2−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+5200000-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000001−521+5200000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2221−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000001−521+5200000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22-2-21−521−521+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+52−1−52−1−52−1−52−1−5200-2221−521−521+521+52-21−521+521−521−521+521+521−521−521+521+52000002-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000−1+52−1−5200000
χ3322222-2-22222222222200-2-222-2-2-2-22222222200000000000000-2-2-2-20000000022-200222200000000000-2002200-2-200000000-2-22200-200000000000
χ3422222-2-22222222222200-2-222-2-2-2-22222222200000000000000-2-2-2-200000000-2-2-200222200000000000200-2-200-2-20000000022-2-200200000000000
χ3522222-2-22222222222200-2-222-2-2-2-2222222-2-200000000000000-2-2-2-20000000022200-2-2-2-200000000000-2002200220000000022-2-200-200000000000
χ3622222-2-22222222222200-2-222-2-2-2-2222222-2-200000000000000-2-2-2-200000000-2-2200-2-2-2-200000000000200-2-2002200000000-2-22200200000000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10022-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000-122-1-1-1-1-1-1-1-1222-1-1000000000000000022-1-1-1-1-10000-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10022-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000-122-1-1-1-1-1-1-1-1-2-2-2110000000000000000-2-2111110000100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-2-1-1222211-2-2-2-2-1-1-1-1111111112200000001-2-21111-1-1-1-1222-1-10000000000000000-2-2-1-1-1110000100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-2-1-1222211-2-2-2-2-1-1-1-111111111-2-200000001-2-21111-1-1-1-1-2-2-211000000000000000022111-1-10000-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1002-211-2-2-2-211-2-2-2-2-1-1-1-111111111220000000-122-1-1-1-111112-2-2-1-100000000000000002-2-111110000-100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1002-211-2-2-2-211-2-2-2-2-1-1-1-111111111-2-20000000-122-1-1-1-11111-222110000000000000000-221-1-1-1-10000100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-2211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200000001-2-2111111112-2-2-1-10000000000000000-22-111-1-10000100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-2211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000001-2-211111111-2221100000000000000002-21-1-1110000-100
χ4522-2-222-2222-2-222-2-2-2-22-22-22222-2-2-2-2-2-22200002-22-22-200000022-2-20000000000000000000000002-22-2000000000000000002-22-20000000002-2000
χ4622-2-222-2222-2-222-2-2-2-22-22-22222-2-2-2-2-2-22200002-22-22-200000022-2-20000000000000000000000002-22-200000000000000000-22-22000000000-22000
χ4722-2-222-2222-2-222-2-2-2-2-222-22222-2-2-2-2-2-2220000-22-22-2200000022-2-2000000000000000000000000-22-22000000000000000002-22-2000000000-22000
χ4822-2-222-2222-2-222-2-2-2-2-222-22222-2-2-2-2-2-2220000-22-22-2200000022-2-2000000000000000000000000-22-2200000000000000000-22-220000000002-2000
χ4922-2-22-22222-2-222-2-2-2-200-2222-2-222-2-2-2-2220000000000000000-2-222000000000002i−2i00000000000000002i−2i0000002i−2i2i−2i00002-2-220002i−2i000000000
χ5022-2-22-22222-2-222-2-2-2-200-2222-2-222-2-2-2-2220000000000000000-2-222000000000002i−2i0000000000000000−2i2i0000002i−2i2i−2i0000-222-2000−2i2i000000000
χ5122-2-22-22222-2-222-2-2-2-200-2222-2-222-2-2-2-2220000000000000000-2-22200000000000−2i2i00000000000000002i−2i000000−2i2i−2i2i0000-222-20002i−2i000000000
χ5222-2-22-22222-2-222-2-2-2-200-2222-2-222-2-2-2-2220000000000000000-2-22200000000000−2i2i0000000000000000−2i2i000000−2i2i−2i2i00002-2-22000−2i2i000000000
χ5344444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+500-4-4−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+544000000000000001+51−51+51−50000000000-400−1−5−1−5−1+5−1+50000000000000000001+51−500000000000000000000000000
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χ1178-8-88-400−2+25−2−254-442−252+252−252+25−2+25−2−2500001−51+50000−1+5−1−51−51+5−1+5−1−50000000000002ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1030000−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−ζ1030000000000000000000000000000000000000000000000000000000

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