Finite Group Databasebeta

← Group #14454157

Character table — Group #14454157

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222444444444444444488888888888888888888121216161616161616161616161616162020242424242424242424242430304040404040404048484848606060606060608080
order12223445566610101010101088121215152020202030303030303044242440404040606060601201201201201201201201204412122020202060606060606060602424820202020404040404444681224241010202022222881212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ51111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-111111-1-1-1-11-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1
χ81111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111
χ9111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-1111-1-11111-1-1-1-1111-11-11-1-111-1-1111-1-1-1-11-1
χ10111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-11-11-11111-1-1-1-1-11111-11
χ11111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-111-1-1-1-11111-1-11-11-11-1-1-1-111-1-1-111111-1
χ12111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-11-11-111-1-111111-1-1-1-1-11
χ13111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1111111-11-11111-1-1-1-111-111-11-1-1-1-1111-1-111-1-1-11
χ14111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-11-11111-1-1-1-1-1-11-1-11-111-1-111-111-1-1111-1
χ15111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-11-1-1-1-11111-1-1-111-11-1-111-1-1-111-1-111-11
χ16111111111111111111-1-111111111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-11-11-1-1-1-11111111-1-11-11111-1-11-1-111-1-11-1
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+522222−1−52−1+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+52−1−52−1−52−1+52−1+52000000000−1−52−1+52−1−52−1+52000000000
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+52-2-222−1−52−1+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+521−521−521+521+521−521−520000000001+521−521+521−52000000000
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+5222-2-21+521−521+521−521+521+521−521−521+521+521−521−5200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000001+521−521+521−52000000000
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+52-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−520022-21+521+521−521−521+521+521−521−52000000000−1−52−1+52−1−52−1+52000000000
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+521−521−521−521−52222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52002-2-2−1−52−1−52−1+52−1+521+521+521−521−52000000000−1−52−1+521+521−52000000000
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+521−521−521−521−52-2-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2221+521+521−521−52−1−52−1−52−1+52−1+520000000001+521−52−1−52−1+52000000000
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+521−521−521−521−5222-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-22-2−1−52−1−52−1+52−1+521+521+521−521−520000000001+521−52−1−52−1+52000000000
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+521−521−521−521−52-2-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52002-221+521+521−521−52−1−52−1−52−1+52−1+52000000000−1−52−1+521+521−52000000000
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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000000−1+52−1−52−1+52−1−52000000000
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+52−1−52−1−52−1−52−1−52-2-222−1+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+521−521−521+521+520000000001−521+521−521+52000000000
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+52−1−52−1−52−1−52−1−5222-2-21−521+521−521+521−521−521+521+521−521−521+521+5200-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000001−521+521−521+52000000000
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+52−1−52−1−52−1−52−1−52-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+520022-21−521−521+521+521−521−521+521+52000000000−1+52−1−52−1+52−1−52000000000
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+52222-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52002-2-2−1+52−1+52−1−52−1−521−521−521+521+52000000000−1+52−1−521−521+52000000000
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+52-2-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2221−521−521+521+52−1+52−1+52−1−52−1−520000000001−521+52−1+52−1−52000000000
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+5222-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-22-2−1+52−1+52−1−52−1−521−521−521+521+520000000001−521+52−1+52−1−52000000000
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+52-2-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52002-221−521−521+521+52−1+52−1+52−1−52−1−52000000000−1+52−1−521−521+52000000000
χ3322222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-2000000002-2000000000000002-20002-22-20000220020-2000000-200000000
χ3422222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-2000000002-200000000000000-220002-22-20000-2-200-202000000200000000
χ3522222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-200000000-22000000000000002-2000-22-220000-2-20020-2000000200000000
χ3622222-2-22222222222200-2-222-2-2-2-222222200000000-2-2-2-200000000-2200000000000000-22000-22-2200002200-202000000-200000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-122000000000000022-12-1-1-100000000000-1-1
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-1-2-20000000000000-2-21-21110000000000011
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-10011-2-2-2-211111111220000000000000-2-2-12-1-1-10000000000011
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-10011-2-2-2-211111111-2-20000000000000221-211100000000000-1-1
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-11111111100-1122-2-2-1-1-1-111112200000000000002-2-1-2-11100000000000-11
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-2-2-2-2-1-1-1-11111111100-1122-2-2-1-1-1-11111-2-20000000000000-22121-1-1000000000001-1
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-111111111001-1-2-2221111-1-1-1-1220000000000000-22-1-2-111000000000001-1
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-2-2-2-2-1-1-1-111111111001-1-2-2221111-1-1-1-1-2-200000000000002-2121-1-100000000000-11
χ452-2-222-22222-2-2-2-2-2-2222-2-222222-2-2-2-2-2-222002-22-22-2-2-22222-2-222-2-200000000000000000000000000000000000000000002-22-20000
χ462-2-222-22222-2-2-2-2-2-2222-2-222222-2-2-2-2-2-222002-22-22-2-2-22222-2-222-2-20000000000000000000000000000000000000000000-22-220000
χ472-2-222-22222-2-2-2-2-2-222-22-222222-2-2-2-2-2-22200-22-22-22-2-222-2-222-2-22200000000000000000000000000000000000000000002-2-220000
χ482-2-222-22222-2-2-2-2-2-222-22-222222-2-2-2-2-2-22200-22-22-22-2-222-2-222-2-2220000000000000000000000000000000000000000000-222-20000
χ4944444-4-4−1−5−1+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+51−5000000004-40000000000000000000−1−51+5−1+51−500000000000000000000000000
χ5044444-4-4−1−5−1+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+51−500000000-4400000000000000000001+5−1−51−5−1+500000000000000000000000000
χ5144444-4-4−1+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+5000000004-40000000000000000000−1+51−5−1−51+500000000000000000000000000
χ5244444-4-4−1+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+500000000-4400000000000000000001−5−1+51+5−1−500000000000000000000000000
χ534444-244−1−5−1+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+521−521−521−521−5200-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−5200000000000000000000000000000000000
χ544444-244−1−5−1+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+521−52-4-4-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−5200221+51−51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000
χ554444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-4-4-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−524-4221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-22−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000000
χ564444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-4-4-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−52-44221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002-21+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000000
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χ1008-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−2500001+51−50000−1−51+5−1+51−5−1−5−1+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+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+ζ119000000000000000000000000000000000000000000000000000
χ1018-88-8-400−2−25−2+2544-42+25−2−252−25−2+252+252−2500001+51−50000−1−51+5−1+51−5−1−5−1+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−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−ζ119000000000000000000000000000000000000000000000000000
χ1028-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+2500001−51+50000−1+51−5−1−51+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+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−ζ103000000000000000000000000000000000000000000000000000
χ1038-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+2500001−51+50000−1+51−5−1−51+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−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+ζ103000000000000000000000000000000000000000000000000000
χ1048-8-88-48-8−2−25−2+25-4442+252+252−252−25−2−25−2+2500-441+51−52+252−25−2−25−2+25−1−5−1−5−1+5−1+51+51−5000000001+51−5−1−5−1+500000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-8−2+25−2−25-4442−252−252+252+25−2+25−2−2500-441−51+52−252+25−2+25−2−25−1+5−1+5−1−5−1−51−51+5000000001−51+5−1+5−1−500000000000000000000000000000000000000000000000000000000000

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