Finite Group Databasebeta

← Group #14302995

Character table — Group #14302995

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222224444444444444444888888888888888888888888881010101016161616161616161616161620202020202040404040404040406060606060606060120120120120
order1222236662456610101015153030303030302466610101010101012121230303030303030303030303022221020202030306060606060602466664461212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111111111111111111-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-11-1-11-1-111111111-1-1-1-1
χ61111111111111111111111111-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-111iiii−i−i−i−i−i−iii
χ81111111111111111111111111-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-111−i−i−i−iiiiiii−i−i
χ9111111111-1-1111111111111111-1-111111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-11-11-1
χ10111111111-1-1111111111111111-1-111111111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-111-11-11
χ11111111111-1-1111111111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1ii−i−i−i−iiii−i−ii
χ12111111111-1-1111111111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1−i−iiiii−i−i−iii−i
χ13111111111-1-111111111111111-11-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-11-111-1-1-111-1-111-1-1-11-11
χ14111111111-1-111111111111111-11-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-11-111-1-1-1-1-111-1-1111-11-1
χ15111111111-1-111111111111111-11-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-1111ii−i−i−i−iii−iii−i
χ16111111111-1-111111111111111-11-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-1111−i−iiiii−i−ii−i−ii
χ1722222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1000000000000
χ1822222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2111111000000000000
χ1922222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-2-2-11122-2-2-2-211-1-1-1-1-111111111222222-2-2-1-1-1-1111122-1-1-1-1-2-2-111-111000000000000
χ2022222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-2-2-11122-2-2-2-211-1-1-1-1-111111111-2-2-2-222-2-2-1-1-1-11111-2-21111221-1-11-1-1000000000000
χ2122222-1-1-1-1-2-22-1-1222-1-1-1-1-1-1-1-12-21-1-1222222111-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-2-2-1-1-1-12-21111-1-1000000000000
χ2222222-1-1-1-1-2-22-1-1222-1-1-1-1-1-1-1-12-21-1-1222222111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111221111-22-1-1-1-111000000000000
χ2322222-1-1-1-1-2-22-1-1222-1-1-1-1-1-1-1-1-2211122-2-2-2-2-1-11-1-1-1-1111111112222-2-2221111-1-1-1-1-2-2-1-1-1-1-221-1-1111000000000000
χ2422222-1-1-1-1-2-22-1-1222-1-1-1-1-1-1-1-1-2211122-2-2-2-2-1-11-1-1-1-111111111-2-2-2-2-2-2221111-1-1-1-12211112-2-111-1-1-1000000000000
χ25222-2-22-2-220022-22-2-22222-2-2-2-2000002-2000000022-2-20000000022-2-20000000000000022-2-200000000002i−2i002i−2i0000
χ26222-2-22-2-220022-22-2-22222-2-2-2-2000002-2000000022-2-20000000022-2-20000000000000022-2-20000000000−2i2i00−2i2i0000
χ27222-2-22-2-220022-22-2-22222-2-2-2-2000002-2000000022-2-200000000-2-22200000000000000-2-22200000000002-200-220000
χ28222-2-22-2-220022-22-2-22222-2-2-2-2000002-2000000022-2-200000000-2-22200000000000000-2-2220000000000-22002-20000
χ2922-22-22-2-22002-222-2-22222-2-2-2-200000-220000000-2-222000000002-22-2000000000000002-22-2000000002i−2i002i−2i000000
χ3022-22-22-2-22002-222-2-22222-2-2-2-200000-220000000-2-222000000002-22-2000000000000002-22-200000000−2i2i00−2i2i000000
χ3122-22-22-2-22002-222-2-22222-2-2-2-200000-220000000-2-22200000000-22-2200000000000000-22-22000000002-200-22000000
χ3222-22-22-2-22002-222-2-22222-2-2-2-200000-220000000-2-22200000000-22-2200000000000000-22-2200000000-22002-2000000
χ3322-2-2222222-22-2-22222222222200200-2-2000000-2-2-2-2-2000000002-2-222-20022-2-200002-22-2-2200200-200000000000000
χ3422-2-2222222-22-2-22222222222200200-2-2000000-2-2-2-2-200000000-222-22-20022-2-20000-22-222-200-200200000000000000
χ3522-2-222222-222-2-22222222222200-200-2-20000002-2-2-2-2000000002-2-22-2200-2-2220000-222-2-2200-200200000000000000
χ3622-2-222222-222-2-22222222222200-200-2-20000002-2-2-2-200000000-222-2-2200-2-22200002-2-222-200200-200000000000000
χ3722-2-22-1-1-1-12-2211222-1-1-1-1-1-1-1-100-1−i3i3-2-20000−i3i311111−i3−i3−i3−i3i3i3i3i32-2-222-200-1-111−i3−i3i3i32-2-111-100-1−i3i31−i3i3000000000000
χ3822-2-22-1-1-1-12-2211222-1-1-1-1-1-1-1-100-1−i3i3-2-20000−i3i311111−i3−i3−i3−i3i3i3i3i3-222-22-200-1-111−i3−i3i3i3-221-1-11001i3−i3-1i3−i3000000000000
χ3922-2-22-1-1-1-12-2211222-1-1-1-1-1-1-1-100-1i3−i3-2-20000i3−i311111i3i3i3i3−i3−i3−i3−i32-2-222-200-1-111i3i3−i3−i32-2-111-100-1i3−i31i3−i3000000000000
χ4022-2-22-1-1-1-12-2211222-1-1-1-1-1-1-1-100-1i3−i3-2-20000i3−i311111i3i3i3i3−i3−i3−i3−i3-222-22-200-1-111i3i3−i3−i3-221-1-11001−i3i3-1−i3i3000000000000
χ4122-2-22-1-1-1-1-22211222-1-1-1-1-1-1-1-1001−i3i3-2-20000i3−i3-11111−i3−i3−i3−i3i3i3i3i32-2-22-220011-1-1i3i3−i3−i3-22-111-1001i3−i3-1−i3i3000000000000
χ4222-2-22-1-1-1-1-22211222-1-1-1-1-1-1-1-1001−i3i3-2-20000i3−i3-11111−i3−i3−i3−i3i3i3i3i3-222-2-220011-1-1i3i3−i3−i32-21-1-1100-1−i3i31i3−i3000000000000
χ4322-2-22-1-1-1-1-22211222-1-1-1-1-1-1-1-1001i3−i3-2-20000−i3i3-11111i3i3i3i3−i3−i3−i3−i32-2-22-220011-1-1−i3−i3i3i3-22-111-1001−i3i3-1i3−i3000000000000
χ4422-2-22-1-1-1-1-22211222-1-1-1-1-1-1-1-1001i3−i3-2-20000−i3i3-11111i3i3i3i3−i3−i3−i3−i3-222-2-220011-1-1−i3−i3i3i32-21-1-1100-1i3−i31−i3i3000000000000
χ4544444444444-144-1-1-1-1-1-1-1-1-1-1-144444-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ4644444444444-144-1-1-1-1-1-1-1-1-1-1-1-4-44-4-4-1-11111-4-44-1-1-1-1111111110000-1-111-1-1-1-1111100000000000000000000000000
χ47444444444-4-4-144-1-1-1-1-1-1-1-1-1-1-14-4-444-1-1-1-1-1-1-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1000011111111111100000000000000000000000000
χ48444444444-4-4-144-1-1-1-1-1-1-1-1-1-1-1-44-4-4-4-1-1111144-4-1-1-1-111111111000011-1-11111-1-1-1-100000000000000000000000000
χ4944444-2-2-2-244-1-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15244-2-2-2-1-1-1-1-1-1-2-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000000
χ5044444-2-2-2-244-1-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152-4-4-222-1-1111122-21−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000
χ5144444-2-2-2-244-1-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i15244-2-2-2-1-1-1-1-1-1-2-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000000000000000000
χ5244444-2-2-2-244-1-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152-4-4-222-1-1111122-21+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000
χ5344444-2-2-2-2-4-4-1-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1524-42-2-2-1-1-1-1-1-12221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i15200001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000
χ5444444-2-2-2-2-4-4-1-2-2-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152-44222-1-11111-2-221−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i15200000000000000000000000000
χ5544444-2-2-2-2-4-4-1-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1524-42-2-2-1-1-1-1-1-12221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i15200001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000
χ5644444-2-2-2-2-4-4-1-2-2-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152-44222-1-11111-2-221+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i15200000000000000000000000000
χ57444-4-4-222-2004-224-4-4-2-2-2-22222000004-40000000-2-2220000000044-4-400000000000000-2-22200000000000000000000
χ58444-4-4-222-2004-224-4-4-2-2-2-22222000004-40000000-2-22200000000-4-4440000000000000022-2-200000000000000000000
χ5944-44-4-222-20042-24-4-4-2-2-2-2222200000-44000000022-2-2000000004-44-400000000000000-22-2200000000000000000000
χ6044-44-4-222-20042-24-4-4-2-2-2-2222200000-44000000022-2-200000000-44-44000000000000002-22-200000000000000000000
χ6144-4-4444444-4-1-4-4-1-1-1-1-1-1-1-1-1-1-10040011−5−55500-41111−5−55555−5−50000-11−55-1-111−555−500000000000000000000000000
χ6244-4-4444444-4-1-4-4-1-1-1-1-1-1-1-1-1-1-1004001155−5−500-4111155−5−5−5−5550000-115−5-1-1115−5−5500000000000000000000000000
χ6344-4-444444-44-1-4-4-1-1-1-1-1-1-1-1-1-1-100-40011−5−5550041111−5−55555−5−500001-15−511-1-15−5−5500000000000000000000000000
χ6444-4-444444-44-1-4-4-1-1-1-1-1-1-1-1-1-1-100-4001155−5−5004111155−5−5−5−55500001-1−5511-1-1−555−500000000000000000000000000
χ6544-4-44-2-2-2-24-4-122-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15200-2−2i32i31155−5−5−2i32i32−1+i152−1−i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ460000-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000000000000000000
χ6644-4-44-2-2-2-24-4-122-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15200-22i3−2i311−5−5552i3−2i32−1+i152−1−i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ460000-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000000000000000000
χ6744-4-44-2-2-2-24-4-122-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i15200-2−2i32i311−5−555−2i32i32−1−i152−1+i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ580000-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000000000000000000
χ6844-4-44-2-2-2-24-4-122-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i15200-22i3−2i31155−5−52i3−2i32−1−i152−1+i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ580000-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000000000000000000
χ6944-4-44-2-2-2-2-44-122-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152002−2i32i31155−5−52i3−2i3-2−1+i152−1−i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ4600001-1−55−1+i152−1−i1521−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000000000000000000
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χ928-8000-44i3−4i3400-200225−251+i151−i15−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ5800000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000−2ζ2+2ζ382ζ2−2ζ38−2ζ14+2ζ262ζ14−2ζ26−2ζ34+2ζ462ζ34−2ζ46−2ζ22+2ζ582ζ22−2ζ58000000000000000000000000000000000000000000
χ938-8000-44i3−4i3400-200225−251+i151−i15−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ580000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000002ζ2−2ζ38−2ζ2+2ζ382ζ14−2ζ26−2ζ14+2ζ262ζ34−2ζ46−2ζ34+2ζ462ζ22−2ζ58−2ζ22+2ζ58000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.