Finite Group Databasebeta

← Group #14437987

Character table — Group #14437987

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444448888888888888888888812121212151515151616161616161616161616161616202020202424242424242424242430304040404040404848484860608080120120
order1222344556661010101010104412121515202020203030303030304412122020202060606060606060606060606088882222121220202020606060606060606088884440404040404040404444242424242020202044121244
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
χ9111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-111-1-11111-1-1-1-111-1-11-11111-1-1-1-1111-111-1-111-1-1-1-11-11-1
χ10111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-11-1-11111-1-111-11-11
χ11111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-111-1-11111-1-1-1-1-1-111-11-1-1-1-1111111-11-1-111-1-111-1-1-111-1
χ12111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-11111-1-1-1-111-1-1-11-1-1-1-11111-1-11-111-1-1-1-111111-1-11
χ13111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-1-1-1111111-1-1-111111-1-1-1-111-1111-1-1-1-111-1-1-11-11
χ14111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-111-111111-1-1-1-1-1-11-1-1-111-1-111111-11-1
χ15111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-1-1-11111-1-1111-1-1-1-1-11111111-1-1-11111-1-1-1-11-1-11
χ16111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1111111-1-11-1-1-1-1-11111-1-1-1111-1-111-1-111-111-1
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+522222000022−1−52−1+52−1−52−1+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+52-2-2-2-2000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+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+5222220000-2-21+521−521+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+52-2-2-2-20000-2-21+521−521+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+521−521−521−521−5222-2-200002-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-2−1−52−1−52−1+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+521−521−521−521−52-2-22200002-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000-221+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+521−521−521−521−5222-2-20000-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-22−1−52−1−52−1+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+521−521−521−521−52-2-2220000-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002-21+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+52−1−52−1−52−1−52−1−522222000022−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521−521+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+52−1−52−1−52−1−52−1−5222220000-2-21−521+521−521+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+52−1−52−1−52−1−52−1−52-2-2-2-20000-2-21−521+521−521+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+5222-2-200002-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-2−1+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+52-2-22200002-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000-221−521−521+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+5222-2-20000-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-22−1+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+52-2-2220000-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200002-21−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000
χ3322222-2-2222222222222-2-2-222-2-2-2-2222222002-22-22-2-2-2-2-222-2-222-2-2000022220000000000000000000000000000-2-200000000002-20000
χ3422222-2-2222222222222-2-2-222-2-2-2-2222222002-22-22-2-2-2-2-222-2-222-2-20000-2-2-2-20000000000000000000000000000220000000000-220000
χ3522222-2-222222222222-22-2-222-2-2-2-222222200-22-22-22-2-2-2-2-2-222-2-222000022220000000000000000000000000000-2-20000000000-220000
χ3622222-2-222222222222-22-2-222-2-2-2-222222200-22-22-22-2-2-2-2-2-222-2-2220000-2-2-2-200000000000000000000000000002200000000002-20000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-12222-1-1-1-1-1-1-1-1222200000000000022-1-1-1-1000000-1-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-211110000001100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000011-2-2-2-2111111112222000000000000-2-2-1-1-1-10000001100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000011-2-2-2-211111111-2-2-2-2000000000000221111000000-1-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-11111111100000000-1122-2-2-1-1-1-1111122-2-20000000000002-2-1-111000000-1100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-11111111100000000-1122-2-2-1-1-1-11111-2-222000000000000-2211-1-10000001-100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-111111111000000001-1-2-2221111-1-1-1-122-2-2000000000000-22-1-1110000001-100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-111111111000000001-1-2-2221111-1-1-1-1-2-2220000000000002-211-1-1000000-1100
χ4522-2-222-222-2-22-2-2-2-222002-2222-22-222-2-2-2-2000000002-22-200000000002i−2i22-2-200000000000000002i−2i0000002i−2i2i−2i2-200002i−2i0000000000
χ4622-2-222-222-2-22-2-2-2-222002-2222-22-222-2-2-2-2000000002-22-200000000002i−2i-2-2220000000000000000−2i2i0000002i−2i2i−2i-220000−2i2i0000000000
χ4722-2-222-222-2-22-2-2-2-222002-2222-22-222-2-2-2-2000000002-22-20000000000−2i2i22-2-20000000000000000−2i2i000000−2i2i−2i2i2-20000−2i2i0000000000
χ4822-2-222-222-2-22-2-2-2-222002-2222-22-222-2-2-2-2000000002-22-20000000000−2i2i-2-22200000000000000002i−2i000000−2i2i−2i2i-2200002i−2i0000000000
χ4922-2-22-2222-2-22-2-2-2-22200-2222-22-2222-2-2-2-200000000-22-22000000002i−2i0022-2-2000000000000002i−2i00002i−2i2i−2i0000-22002i−2i000000000000
χ5022-2-22-2222-2-22-2-2-2-22200-2222-22-2222-2-2-2-200000000-22-22000000002i−2i00-2-22200000000000000−2i2i00002i−2i2i−2i00002-200−2i2i000000000000
χ5122-2-22-2222-2-22-2-2-2-22200-2222-22-2222-2-2-2-200000000-22-2200000000−2i2i0022-2-200000000000000−2i2i0000−2i2i−2i2i0000-2200−2i2i000000000000
χ5222-2-22-2222-2-22-2-2-2-22200-2222-22-2222-2-2-2-200000000-22-2200000000−2i2i00-2-222000000000000002i−2i0000−2i2i−2i2i00002-2002i−2i000000000000
χ5344444-4-4−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+54-4-4-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+5004-4−1−51+5−1+51−51+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000000000000000000000000000
χ5444444-4-4−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-44-4-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+500-441+5−1−51−5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000000000000000000000000000
χ5544444-4-4−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−54-4-4-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−5004-4−1+51−5−1−51+51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000000000000000000000000000000000000000
χ5644444-4-4−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-44-4-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−500-441−5−1+51+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000000000000000000000000000000000000000
χ574444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+544-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521−521−5244-2-2−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−5200000000-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−5200000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.