Finite Group Databasebeta

← Group #14438011

Character table — Group #14438011

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444448888888888888888888812121212151515151616161616161616161616161616202020202424242424242424242430304040404040404848484860608080120120
order1222344556661010101010108812121515202020203030303030302424244040404060606060120120120120120120120120448844446101012202030303030606060604488442020202040404040222412122424202020208861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ51111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-11111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ81111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ9111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-1-11111-1-1-1-111-1-1-111111-1-1-1-1111-111-1-111-1-1-1-11-1-11
χ10111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-111-111111-1-1-1-1-1-1-11-1-11111-1-111-111-1
χ11111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-11-1-111-1-111-1-1-11-11
χ12111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-11-1-1-1-1-11111-1-11-111-1-1-1-111111-11-1
χ13111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-1-1-1111111-1-11-11111-1-1-1-111-1111-1-1-1-111-1-1-111-1
χ14111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1111-11111-1-1-1-1-1-11-1-1-111-1-111111-1-11
χ15111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-11111-1-111-11-1-1-1-11111111-1-1-11111-1-1-1-11-11-1
χ16111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-11-1-1-1-11111-1-1-1111-1-111-1-111-11-11
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+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222200002−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000
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+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-200002−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521−521+521−521+521+521−521−52000000001+521−521+521−52000000
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+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222220000-21+521−52-21+521−521+521+521−521−521+521+521−521−520000-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000
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+52-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-20000-21+521−52-21+521−521+521+521−521−521+521+521−521−520000221+521−521+521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000
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+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-200002−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000-22−1−52−1+52−1−52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000
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+522-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-22200002−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-21+521−521+521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000
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+52-22-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-20000-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002-2−1−52−1+52−1−52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000
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+52-22-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2220000-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-221+521−521+521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222200002−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-200002−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521+521−521+521−521−521+521+52000000001−521+521−521+52000000
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+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222220000-21−521+52-21−521+521−521−521+521+521−521−521+521+520000-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000
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+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-20000-21−521+52-21−521+521−521−521+521+521−521−521+521+520000221−521+521−521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000
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+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-200002−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000-22−1+52−1−52−1+52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000
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+52−1−522-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-22200002−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-21−521+521−521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000
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+52−1−52-22-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-20000-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200002-2−1+52−1−52−1+52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000
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+52−1−52-22-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2220000-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-221−521+521−521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000
χ3322222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-2000000002-200222200000000000000-220000-2-2220000-2-200-22000000000000
χ3422222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-2000000002-200-2-2-2-2000000000000002-20000-2-222000022002-2000000000000
χ3522222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-200000000-22002222000000000000002-2000022-2-20000-2-2002-2000000000000
χ3622222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-200000000-2200-2-2-2-200000000000000-22000022-2-200002200-22000000000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-122-122-1-1-1-1-1-1-1-1222200000000000022-1-1-1-1000000-1-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-122-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-211110000001100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000001-2-21-2-2111111112222000000000000-2-2-1-1-1-10000001100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000001-2-21-2-211111111-2-2-2-2000000000000221111000000-1-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-11111111100000000-1221-2-2-1-1-1-1111122-2-20000000000002-2-1-111000000-1100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-11111111100000000-1221-2-2-1-1-1-11111-2-222000000000000-2211-1-10000001-100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-111111111000000001-2-2-1221111-1-1-1-122-2-2000000000000-22-1-1110000001-100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-111111111000000001-2-2-1221111-1-1-1-1-2-2220000000000002-211-1-1000000-1100
χ452-2-2222-2222-2-2-2-222-2-22i−2i-2222-2-222-2-222-2-2002i−2i2i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000022-2-200000000000000000000000000002-200000000002i−2i0000
χ462-2-2222-2222-2-2-2-222-2-22i−2i-2222-2-222-2-222-2-2002i−2i2i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000-2-2220000000000000000000000000000-220000000000−2i2i0000
χ472-2-2222-2222-2-2-2-222-2-2−2i2i-2222-2-222-2-222-2-200−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000022-2-200000000000000000000000000002-20000000000−2i2i0000
χ482-2-2222-2222-2-2-2-222-2-2−2i2i-2222-2-222-2-222-2-200−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i0000-2-2220000000000000000000000000000-2200000000002i−2i0000
χ492-2-222-22222-2-2-2-222-2-2002-22222-2-2-2-222-2-200000000-2-22200000000002i−2i22-2-200000000000000002i−2i0000002i−2i2i−2i-2200002i−2i0000000000
χ502-2-222-22222-2-2-2-222-2-2002-22222-2-2-2-222-2-200000000-2-22200000000002i−2i-2-2220000000000000000−2i2i0000002i−2i2i−2i2-20000−2i2i0000000000
χ512-2-222-22222-2-2-2-222-2-2002-22222-2-2-2-222-2-200000000-2-2220000000000−2i2i22-2-20000000000000000−2i2i000000−2i2i−2i2i-220000−2i2i0000000000
χ522-2-222-22222-2-2-2-222-2-2002-22222-2-2-2-222-2-200000000-2-2220000000000−2i2i-2-22200000000000000002i−2i000000−2i2i−2i2i2-200002i−2i0000000000
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+5000000001+51−51+51−5000000004-4000000000000000000000000001+51−5−1−5−1+50000000000000000000000
χ5444444-4-4−1−5−1+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+5000000001+51−51+51−500000000-4400000000000000000000000000−1−5−1+51+51−50000000000000000000000
χ5544444-4-4−1+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+5−1−5000000001−51+51−51+5000000004-4000000000000000000000000001−51+5−1+5−1−50000000000000000000000
χ5644444-4-4−1+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+5−1−5000000001−51+51−51+500000000-4400000000000000000000000000−1+5−1−51−51+50000000000000000000000
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χ1038-88-8-400−2−25−2+2544-4−2−25−2+252+252−252+252−2500001+51−500001+51−5−1−5−1+5−1−5−1+5000000000000−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+ζ103ζ29+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+ζ119000000000000000000000000000000000000000000000000000000
χ1048-88-8-400−2−25−2+2544-4−2−25−2+252+252−252+252−2500001+51−500001+51−5−1−5−1+5−1−5−1+5000000000000ζ7−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−ζ103−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−ζ119000000000000000000000000000000000000000000000000000000
χ1058-88-8-400−2+25−2−2544-4−2+25−2−252−252+252−252+2500001−51+500001−51+5−1+5−1−5−1+5−1−5000000000000−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−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+ζ103000000000000000000000000000000000000000000000000000000
χ1068-88-8-400−2+25−2−2544-4−2+25−2−252−252+252−252+2500001−51+500001−51+5−1+5−1−5−1+5−1−5000000000000ζ29+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+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−ζ103000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-88−2−25−2+25-4442+252−25−2−25−2+252+252−2500-441+51−5−2−25−2+252+252−25−1−5−1+51+51−5−1−5−1+500000000−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-88−2+25−2−25-4442−252+25−2+25−2−252−252+2500-441−51+5−2+25−2−252−252+25−1+5−1−51−51+5−1+5−1−500000000−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000

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