Finite Group Databasebeta

← Group #14295523

Character table — Group #14295523

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222244444444444444455888888888888888101010101015151515161616161616161616161616161616161616202020202020202020303030303030404040404040606060606060606060606060
order1223446225688881012121515303044661020202424242430306060606022412128888101030303030404040401201201201201201201201204466888812888888121224242424444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111111111111111-1-1-1-1-1ii−i−i111111111111111111-1-1-1-1-1-1-1-1-1iii−i−i−i-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ41111111111111111111111-1-1111111111111111-1-1-1-1-1−i−iii111111111111111111-1-1-1-1-1-1-1-1-1−i−i−iiii-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111-1-1-1-111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111-1-1-1-111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ711111111111-1-1-1-11111111-1-111111-1-1-1-1111111-1-1-1-1-1ii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1iii−i−i−i-1-11111−i−i−i−iiiiiii−i−i
χ811111111111-1-1-1-11111111-1-111111-1-1-1-1111111-1-1-1-1-1−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−i−iiii-1-11111iiii−i−i−i−i−i−iii
χ91111111-1-11111-1-1111111111-1-111111-1-1111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111111-1-111-1-111-1-111-1-1-1-1-1-1
χ101111111-1-11111-1-1111111111-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111
χ111111111-1-11111-1-11111111-1-1-1-111111-1-1111111-1-1-1-1-1ii−i−i-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1iii−i−i−i11-1-111ii−i−i−i−iii−i−iii
χ121111111-1-11111-1-11111111-1-1-1-111111-1-1111111-1-1-1-1-1−i−iii-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1−i−i−iiii11-1-111−i−iiiii−i−iii−i−i
χ131111111-1-111-1-111111111111-1-1111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111111-1-1-1-111-1-111-1-111-1-1-1-1
χ141111111-1-111-1-111111111111-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111
χ151111111-1-111-1-1111111111-1-1-1-1111-1-111111111-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1iii−i−i−i1111-1-1−i−iiiii−i−i−i−iii
χ161111111-1-111-1-1111111111-1-1-1-1111-1-111111111-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1−i−i−iiii1111-1-1ii−i−i−i−iiiii−i−i
χ171111-1-111-111i−ii−i1-1-11111111-11-1-1i−ii−i11-1-1-1-1-1-111111111-111-1-1i−ii−iii−i−iii−i−i1-1-1-1i−ii−i11-1-11-1-11-1i−ii−ii−ii−ii−ii−i1-11-1
χ181111-1-111-111i−ii−i1-1-11111111-11-1-1i−ii−i11-1-1-1-1-1-1111-1-1-1-11-111-1-1i−ii−iii−i−iii−i−i1-1-1-1i−ii−i1-111-1111-1i−ii−i−ii−ii−ii−ii-11-11
χ191111-1-111-111i−ii−i1-1-11111-1-11-11-1-1i−ii−i11-1-1-1-111-1-1-1ii−i−i1-111-1-1i−ii−iii−i−iii−i−i-1111−ii−ii-1i−i−i−iii-11−ii−ii-11-111-11-1i−i−ii
χ201111-1-111-111i−ii−i1-1-11111-1-11-11-1-1i−ii−i11-1-1-1-111-1-1-1−i−iii1-111-1-1i−ii−iii−i−iii−i−i-1111−ii−ii-1−iiii−i−i-11−ii−ii1-11-1-11-11−iii−i
χ211111-1-111-111−ii−ii1-1-11111111-11-1-1−ii−ii11-1-1-1-1-1-111111111-111-1-1−ii−ii−i−iii−i−iii1-1-1-1−ii−ii11-1-11-1-11-1−ii−ii−ii−ii−ii−ii1-11-1
χ221111-1-111-111−ii−ii1-1-11111111-11-1-1−ii−ii11-1-1-1-1-1-1111-1-1-1-11-111-1-1−ii−ii−i−iii−i−iii1-1-1-1−ii−ii1-111-1111-1−ii−iii−ii−ii−ii−i-11-11
χ231111-1-111-111−ii−ii1-1-11111-1-11-11-1-1−ii−ii11-1-1-1-111-1-1-1ii−i−i1-111-1-1−ii−ii−i−iii−i−iii-1111i−ii−i-1i−i−i−iii-11i−ii−i1-11-1-11-11i−i−ii
χ241111-1-111-111−ii−ii1-1-11111-1-11-11-1-1−ii−ii11-1-1-1-111-1-1-1−i−iii1-111-1-1−ii−ii−i−iii−i−iii-1111i−ii−i-1−iiii−i−i-11i−ii−i-11-111-11-1−iii−i
χ251111-1-11-1111i−i−ii1-1-1111111-111-1-1i−i−ii11-1-1-1-1-1-11111111-11-1-111i−i−iiii−i−i−i−iii-11-1-1i−i−ii11-1-11-1-1-11i−i−iii−i−iii−i−ii-11-11
χ261111-1-11-1111i−i−ii1-1-1111111-111-1-1i−i−ii11-1-1-1-1-1-1111-1-1-1-1-11-1-111i−i−iiii−i−i−i−iii-11-1-1i−i−ii1-111-111-11i−i−ii−iii−i−iii−i1-11-1
χ271111-1-11-1111i−i−ii1-1-11111-1-1-111-1-1i−i−ii11-1-1-1-111-1-1-1ii−i−i-11-1-111i−i−iiii−i−i−i−iii1-111−iii−i-1i−i−i−iii1-1−iii−i-111-11-1-11−iii−i
χ281111-1-11-1111i−i−ii1-1-11111-1-1-111-1-1i−i−ii11-1-1-1-111-1-1-1−i−iii-11-1-111i−i−iiii−i−i−i−iii1-111−iii−i-1−iiii−i−i1-1−iii−i1-1-11-111-1i−i−ii
χ291111-1-11-1111−iii−i1-1-1111111-111-1-1−iii−i11-1-1-1-1-1-11111111-11-1-111−iii−i−i−iiiii−i−i-11-1-1−iii−i11-1-11-1-1-11−iii−i−iii−i−iii−i-11-11
χ301111-1-11-1111−iii−i1-1-1111111-111-1-1−iii−i11-1-1-1-1-1-1111-1-1-1-1-11-1-111−iii−i−i−iiiii−i−i-11-1-1−iii−i1-111-111-11−iii−ii−i−iii−i−ii1-11-1
χ311111-1-11-1111−iii−i1-1-11111-1-1-111-1-1−iii−i11-1-1-1-111-1-1-1ii−i−i-11-1-111−iii−i−i−iiiii−i−i1-111i−i−ii-1i−i−i−iii1-1i−i−ii1-1-11-111-1−iii−i
χ321111-1-11-1111−iii−i1-1-11111-1-1-111-1-1−iii−i11-1-1-1-111-1-1-1−i−iii-11-1-111−iii−i−i−iiiii−i−i1-111i−i−ii-1−iiii−i−i1-1i−i−ii-111-11-1-11i−i−ii
χ33222-122-1222-122222-1-1-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1222-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-122-1-12222-1000000-1-1-1-1-1-1000000000000
χ34222-122-1222-122222-1-1-1-1-1-1-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-211000022-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2-2-21000000111111000000000000
χ35222-122-1222-1-2-2-2-22-1-1-1-1-1-122-1-12221111-1-1-1-1-1-1222-1-1000022-1-1-1-1-2-2-2-21111111122-1-1-2-2-2-2-1000000-1-11111000000000000
χ36222-122-1222-1-2-2-2-22-1-1-1-1-1-1-2-2-1-12221111-1-1-1-1-1-1-2-2-211000022-1-1-1-1-2-2-2-211111111-2-2112222100000011-1-1-1-1000000000000
χ37222-122-1-2-22-122-2-22-1-1-1-1-1-12211222-1-111-1-1-1-1-1-1222-1-10000-2-2111122-2-2-1-1-1-11111-2-2-1-122-2-2-100000011-1-111000000000000
χ38222-122-1-2-22-122-2-22-1-1-1-1-1-1-2-211222-1-111-1-1-1-1-1-1-2-2-2110000-2-2111122-2-2-1-1-1-111112211-2-2221000000-1-111-1-1000000000000
χ39222-122-1-2-22-1-2-2222-1-1-1-1-1-1221122211-1-1-1-1-1-1-1-1222-1-10000-2-21111-2-2221111-1-1-1-1-2-2-1-1-2-222-10000001111-1-1000000000000
χ40222-122-1-2-22-1-2-2222-1-1-1-1-1-1-2-21122211-1-1-1-1-1-1-1-1-2-2-2110000-2-21111-2-2221111-1-1-1-1221122-2-21000000-1-1-1-111000000000000
χ41222-1-2-2-12-22-12i−2i2i−2i211-1-1-1-122-112-2-2−ii−ii-1-11111-2-22-1-100002-2-1-1112i−2i2i−2i−i−iii−i−iii2-2112i−2i2i−2i-1000000-11−ii−ii000000000000
χ42222-1-2-2-12-22-12i−2i2i−2i211-1-1-1-1-2-2-112-2-2−ii−ii-1-1111122-21100002-2-1-1112i−2i2i−2i−i−iii−i−iii-22-1-1−2i2i−2i2i10000001-1i−ii−i000000000000
χ43222-1-2-2-12-22-1−2i2i−2i2i211-1-1-1-122-112-2-2i−ii−i-1-11111-2-22-1-100002-2-1-111−2i2i−2i2iii−i−iii−i−i2-211−2i2i−2i2i-1000000-11i−ii−i000000000000
χ44222-1-2-2-12-22-1−2i2i−2i2i211-1-1-1-1-2-2-112-2-2i−ii−i-1-1111122-21100002-2-1-111−2i2i−2i2iii−i−iii−i−i-22-1-12i−2i2i−2i10000001-1−ii−ii000000000000
χ45222-1-2-2-1-222-12i−2i−2i2i211-1-1-1-1221-12-2-2−iii−i-1-11111-2-22-1-10000-2211-1-12i−2i−2i2i−i−iiiii−i−i-22112i−2i−2i2i-10000001-1−iii−i000000000000
χ46222-1-2-2-1-222-12i−2i−2i2i211-1-1-1-1-2-21-12-2-2−iii−i-1-1111122-2110000-2211-1-12i−2i−2i2i−i−iiiii−i−i2-2-1-1−2i2i2i−2i1000000-11i−i−ii000000000000
χ47222-1-2-2-1-222-1−2i2i2i−2i211-1-1-1-1221-12-2-2i−i−ii-1-11111-2-22-1-10000-2211-1-1−2i2i2i−2iii−i−i−i−iii-2211−2i2i2i−2i-10000001-1i−i−ii000000000000
χ48222-1-2-2-1-222-1−2i2i2i−2i211-1-1-1-1-2-21-12-2-2i−i−ii-1-1111122-2110000-2211-1-1−2i2i2i−2iii−i−i−i−iii2-2-1-12i−2i−2i2i1000000-11−iii−i000000000000
χ4922-222-22002-2000022-222222200-22-20000-2-222-2-22-2-2222222000000000000000000002-20000-2-22-2-22-2000000000000000000
χ5022-222-22002-2000022-222222200-22-20000-2-222-2-22-2-222-2-2-2-2000000000000000000002-20000-22-222-22000000000000000000
χ5122-222-22002-2000022-22222-2-200-22-20000-2-222-2-2-222-2-22i2i−2i−2i00000000000000000000-2200002−2i2i−2i2i−2i2i000000000000000000
χ5222-222-22002-2000022-22222-2-200-22-20000-2-222-2-2-222-2-2−2i−2i2i2i00000000000000000000-22000022i−2i2i−2i2i−2i000000000000000000
χ5322-22-222002-200002-2222222200-2-220000-2-2-2-222-22-222222200000000000000000000-220000-2-2-22-2-22000000000000000000
χ5422-22-222002-200002-2222222200-2-220000-2-2-2-222-22-222-2-2-2-200000000000000000000-220000-222-222-2000000000000000000
χ5522-22-222002-200002-222222-2-200-2-220000-2-2-2-2222-22-2-22i2i−2i−2i000000000000000000002-200002−2i−2i2i2i2i−2i000000000000000000
χ5622-22-222002-200002-222222-2-200-2-220000-2-2-2-2222-22-2-2−2i−2i2i2i000000000000000000002-2000022i2i−2i−2i−2i2i000000000000000000
χ57444444444-144444-144-1-1-1-10044-1-1-14444-1-1-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ58444444444-14-4-4-4-4-144-1-1-1-10044-1-1-1-4-4-4-4-1-1-1-1-1-1000000000-1-1-1-1-1-1111111111111000000000000000000000000000000000
χ594444444-4-4-1444-4-4-144-1-1-1-100-4-4-1-1-144-4-4-1-1-1-1-1-1000000000111111-1-111-1-1-1-11111000000000000000000000000000000000
χ604444444-4-4-14-4-444-144-1-1-1-100-4-4-1-1-1-4-444-1-1-1-1-1-100000000011111111-1-11111-1-1-1-1000000000000000000000000000000000
χ614444-4-444-4-144i−4i4i−4i-1-4-4-1-1-1-1004-4-1114i−4i4i−4i-1-11111000000000-11-1-111−ii−ii−i−iii−i−iii000000000000000000000000000000000
χ624444-4-444-4-14−4i4i−4i4i-1-4-4-1-1-1-1004-4-111−4i4i−4i4i-1-11111000000000-11-1-111i−ii−iii−i−iii−i−i000000000000000000000000000000000
χ634444-4-44-44-144i−4i−4i4i-1-4-4-1-1-1-100-44-1114i−4i−4i4i-1-111110000000001-111-1-1−iii−i−i−iiiii−i−i000000000000000000000000000000000
χ644444-4-44-44-14−4i4i4i−4i-1-4-4-1-1-1-100-44-111−4i4i4i−4i-1-111110000000001-111-1-1i−i−iiii−i−i−i−iii000000000000000000000000000000000
χ65444-244-244-1-24444-1-2-21−i1521+i1521−i1521+i15200-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i152000000000-1-11−i1521+i1521−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000
χ66444-244-244-1-24444-1-2-21+i1521−i1521+i1521−i15200-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i152000000000-1-11+i1521−i1521+i1521−i152-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000
χ67444-244-244-1-2-4-4-4-4-1-2-21−i1521+i1521−i1521+i15200-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521+i152000000000-1-11−i1521+i1521−i1521+i1521111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000
χ68444-244-244-1-2-4-4-4-4-1-2-21+i1521−i1521+i1521−i15200-2-2-1-1-122221+i1521−i1521+i1521−i1521+i1521−i152000000000-1-11+i1521−i1521+i1521−i1521111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000
χ69444-244-2-4-4-1-244-4-4-1-2-21−i1521+i1521−i1521+i1520022-1-1-1-2-2221−i1521+i1521−i1521+i1521−i1521+i15200000000011−1+i152−1−i152−1+i152−1−i152-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000
χ70444-244-2-4-4-1-244-4-4-1-2-21+i1521−i1521+i1521−i1520022-1-1-1-2-2221+i1521−i1521+i1521−i1521+i1521−i15200000000011−1−i152−1+i152−1−i152−1+i152-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000
χ71444-244-2-4-4-1-2-4-444-1-2-21−i1521+i1521−i1521+i1520022-1-1-122-2-21−i1521+i1521−i1521+i1521−i1521+i15200000000011−1+i152−1−i152−1+i152−1−i15211-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i152000000000000000000000000000000000
χ72444-244-2-4-4-1-2-4-444-1-2-21+i1521−i1521+i1521−i1520022-1-1-122-2-21+i1521−i1521+i1521−i1521+i1521−i15200000000011−1−i152−1+i152−1−i152−1+i15211-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i152000000000000000000000000000000000
χ73444-2-4-4-24-4-1-24i−4i4i−4i-1221−i1521+i1521−i1521+i15200-22-111−2i2i−2i2i1−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000-111−i1521+i152−1+i152−1−i152−ii−iiζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94000000000000000000000000000000000
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χ75444-2-4-4-24-4-1-2−4i4i−4i4i-1221−i1521+i1521−i1521+i15200-22-1112i−2i2i−2i1−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000-111−i1521+i152−1+i152−1−i152i−ii−i−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94−ζ14−ζ22−ζ86−ζ118−ζ38−ζ46−ζ62−ζ94ζ14+ζ22+ζ86+ζ118ζ38+ζ46+ζ62+ζ94000000000000000000000000000000000
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χ958-80-400400800000-800-4-4448i−8i000000000000000000−4i4i0000000000000000000000000000000000000000000000000000000
χ968-80-400400800000-800-4-444−8i8i0000000000000000004i−4i0000000000000000000000000000000000000000000000000000000
χ9716-1601600-1600-400000400-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000
χ9816-160-800800-4000004002−2i152+2i15−2+2i15−2−2i1500000000000000000000000000000000000000000000000000000000000000000000000000000
χ9916-160-800800-4000004002+2i152−2i15−2−2i15−2+2i1500000000000000000000000000000000000000000000000000000000000000000000000000000

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