Finite Group Databasebeta

← Group #13104915

Character table — Group #13104915

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size11222444444444444444444444444448888888888888888888888888888888888882525505050100100100100100100100100100100
order1222224555555101010101010101010101010101010101010101010101010101010101010101010101010101010101010202020202020202020202020444442488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ611111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111
χ711111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ811111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ9111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11i−ii−ii−ii−i
χ10111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11−ii−ii−ii−ii
χ11111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-11-11
χ12111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-111-11-1
χ13111-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11-1i−i−iii−i−ii
χ14111-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11-1−iii−i−iii−i
χ15111-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-111-1-11-111-1
χ16111-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-11-111-11-1-11
χ1722-22-200222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-200000000000000000000000022-22-20000000000
χ1822-22-200222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2000000000000000000000000-2-22-220000000000
χ1922-2-2200222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222222200000000000000000000000022-2-220000000000
χ2022-2-2200222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222000000000000000000000000-2-222-20000000000
χ2144444444-1-1-1-1-144-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1000000000000000
χ224444444-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1000000000000000
χ234444444-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5000000000000000
χ244444444-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52000000000000000
χ254444444-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52000000000000000
χ264444444-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5000000000000000
χ2744444-4-44-1-1-1-1-144-1-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-4-41111111111-4-41111111111000000000000000
χ2844444-4-4-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-111-4-41111111111-4-411111111000000000000000
χ2944444-4-4-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−511111−51−5−3+52−3+52−3−52−3−521+51+511111−51−5−3+52−3+52−3−52−3−521+51+5000000000000000
χ3044444-4-4-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−521111−3+52−3+521+51+51−51−5−3−52−3−52000000000000000
χ3144444-4-4-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−521111−3−52−3−521−51−51+51+5−3+52−3+521111−3−52−3−521−51−51+51+5−3+52−3+52000000000000000
χ3244444-4-4-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+511111+51+5−3−52−3−52−3+52−3+521−51−511111+51+5−3−52−3−52−3+52−3+521−51−5000000000000000
χ33444-4-44-44-1-1-1-1-144-1-1-1-1-1-1-1-1-1-14-1-1-1-1-1-411111-41111144-1-1-1-1-1-1-1-1-1-1-4-41111111111000000000000000
χ34444-4-44-4-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-14-1-1-1-11-411111-41111-1-144-1-1-1-1-1-1-1-111-4-411111111000000000000000
χ35444-4-44-4-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1−1+53−523+52−1−5111−5−3+52−3−521+5111−5−3+52−3−521+5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−511111−51−5−3+52−3+52−3−52−3−521+51+5000000000000000
χ36444-4-44-4-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−5211−3+521+51−5−3−52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+521111−3+52−3+521+51+51−51−5−3−52−3−52000000000000000
χ37444-4-44-4-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-13+52−1+5−1−53−5211−3−521−51+5−3+5211−3−521−51+5−3+52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−521111−3−52−3−521−51−51+51+5−3+52−3+52000000000000000
χ38444-4-44-4-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5-1-1−1−53+523−52−1+5111+5−3−52−3+521−5111+5−3−52−3+521−5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+511111+51+5−3−52−3−52−3+52−3+521−51−5000000000000000
χ39444-4-4-444-1-1-1-1-144-1-1-1-1-1-1-1-1-1-14-1-1-1-1-1-411111-411111-4-4111111111144-1-1-1-1-1-1-1-1-1-1000000000000000
χ40444-4-4-44-14-1-1-1-1-1-144-1-1-1-1-1-1-1-1-14-1-1-1-11-411111-4111111-4-411111111-1-144-1-1-1-1-1-1-1-1000000000000000
χ41444-4-4-44-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5-1-1−1+53−523+52−1−5111−5−3+52−3−521+5111−5−3+52−3−521+511111−51−5−3+52−3+52−3−52−3−521+51+5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−5000000000000000
χ42444-4-4-44-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−5211−3+521+51−5−3−521111−3+52−3+521+51+51−51−5−3−52−3−52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52000000000000000
χ43444-4-4-44-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52-1-13+52−1+5−1−53−5211−3−521−51+5−3+5211−3−521−51+5−3+521111−3−52−3−521−51−51+51+5−3+52−3+52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52000000000000000
χ44444-4-4-44-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5-1-1−1−53+523−52−1+5111+5−3−52−3+521−5111+5−3−52−3+521−511111+51+5−3−52−3−52−3+52−3+521−51−5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+5000000000000000
χ4544-44-4004-1-1-1-1-1-4-411111111114-1-1-1-1-14-1-1-1-1-1-411111005−55−55−55−55−5005−55−55−55−55−5000000000000000
χ4644-44-4004-1-1-1-1-1-4-411111111114-1-1-1-1-14-1-1-1-1-1-41111100−55−55−55−55−5500−55−55−55−55−55000000000000000
χ4744-44-400-14-1-1-1-111-4-411111111-14-1-1-1-1-14-1-1-1-11-411115−5005−5−55−555−55−5005−5−55−555−5000000000000000
χ4844-44-400-14-1-1-1-111-4-411111111-14-1-1-1-1-14-1-1-1-11-41111−5500−555−55−5−55−5500−555−55−5−55000000000000000
χ4944-44-400-1-1−1+53−523+52−1−511111−51−5−3+52−3+52−3−52−3−521+51+5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5111−5−3+52−3−521+55−5−55005+52−5−52−5+525−52005−5−55005+52−5−52−5+525−5200000000000000000
χ5044-44-400-1-1−1+53−523+52−1−511111−51−5−3+52−3+52−3−52−3−521+51+5-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5111−5−3+52−3−521+5−555−500−5−525+525−52−5+5200−555−500−5−525+525−52−5+5200000000000000000
χ5144-44-400-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−525−55−5−5−525+5200005−52−5+525−55−5−5−525+5200005−52−5+52000000000000000
χ5244-44-400-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−52−55−555+52−5−520000−5+525−52−55−555+52−5−520000−5+525−52000000000000000
χ5344-44-400-1-13+52−1+5−1−53−521111−3−52−3−521−51−51+51+5−3+52−3+52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−5211−3−521−51+5−3+525−55−55−52−5+520000−5−525+525−55−55−52−5+520000−5−525+52000000000000000
χ5444-44-400-1-13+52−1+5−1−53−521111−3−52−3−521−51−51+51+5−3+52−3+52-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−5211−3−521−51+5−3+52−55−55−5+525−5200005+52−5−52−55−55−5+525−5200005+52−5−52000000000000000
χ5544-44-400-1-1−1−53+523−52−1+511111+51+5−3−52−3−52−3+52−3+521−51−5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5111+5−3−52−3+521−55−5−5500−5+525−525+52−5−52005−5−5500−5+525−525+52−5−5200000000000000000
χ5644-44-400-1-1−1−53+523−52−1+511111+51+5−3−52−3−52−3+52−3+521−51−5-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5111+5−3−52−3+521−5−555−5005−52−5+52−5−525+5200−555−5005−52−5+52−5−525+5200000000000000000
χ5744-4-44004-1-1-1-1-1-4-411111111114-1-1-1-1-1-4111114-1-1-1-1-1005−55−55−55−55−500−55−55−55−55−55000000000000000
χ5844-4-44004-1-1-1-1-1-4-411111111114-1-1-1-1-1-4111114-1-1-1-1-100−55−55−55−55−55005−55−55−55−55−5000000000000000
χ5944-4-4400-14-1-1-1-111-4-411111111-14-1-1-1-11-41111-14-1-1-1-15−5005−5−55−555−5−5500−555−55−5−55000000000000000
χ6044-4-4400-14-1-1-1-111-4-411111111-14-1-1-1-11-41111-14-1-1-1-1−5500−555−55−5−555−5005−5−55−555−5000000000000000
χ6144-4-4400-1-1−1+53−523+52−1−511111−51−5−3+52−3+52−3−52−3−521+51+5-1-1−1+53−523+52−1−5111−5−3+52−3−521+5-1-1−1+53−523+52−1−55−5−55005+52−5−52−5+525−5200−555−500−5−525+525−52−5+5200000000000000000
χ6244-4-4400-1-1−1+53−523+52−1−511111−51−5−3+52−3+52−3−52−3−521+51+5-1-1−1+53−523+52−1−5111−5−3+52−3−521+5-1-1−1+53−523+52−1−5−555−500−5−525+525−52−5+52005−5−55005+52−5−52−5+525−5200000000000000000
χ6344-4-4400-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−52-1-13−52−1−5−1+53+5211−3+521+51−5−3−52-1-13−52−1−5−1+53+525−55−5−5−525+5200005−52−5+52−55−555+52−5−520000−5+525−52000000000000000
χ6444-4-4400-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−52-1-13−52−1−5−1+53+5211−3+521+51−5−3−52-1-13−52−1−5−1+53+52−55−555+52−5−520000−5+525−525−55−5−5−525+5200005−52−5+52000000000000000
χ6544-4-4400-1-13+52−1+5−1−53−521111−3−52−3−521−51−51+51+5−3+52−3+52-1-13+52−1+5−1−53−5211−3−521−51+5−3+52-1-13+52−1+5−1−53−525−55−55−52−5+520000−5−525+52−55−55−5+525−5200005+52−5−52000000000000000
χ6644-4-4400-1-13+52−1+5−1−53−521111−3−52−3−521−51−51+51+5−3+52−3+52-1-13+52−1+5−1−53−5211−3−521−51+5−3+52-1-13+52−1+5−1−53−52−55−55−5+525−5200005+52−5−525−55−55−52−5+520000−5−525+52000000000000000
χ6744-4-4400-1-1−1−53+523−52−1+511111+51+5−3−52−3−52−3+52−3+521−51−5-1-1−1−53+523−52−1+5111+5−3−52−3+521−5-1-1−1−53+523−52−1+55−5−5500−5+525−525+52−5−5200−555−5005−52−5+52−5−525+5200000000000000000
χ6844-4-4400-1-1−1−53+523−52−1+511111+51+5−3−52−3−52−3+52−3+521−51−5-1-1−1−53+523−52−1+5111+5−3−52−3+521−5-1-1−1−53+523−52−1+5−555−5005−52−5+52−5−525+52005−5−5500−5+525−525+52−5−5200000000000000000
χ694-400000444444000000000000-4-4-4-4-4-40000000000000000000000000000000000004i−4i0000000000000
χ704-400000444444000000000000-4-4-4-4-4-4000000000000000000000000000000000000−4i4i0000000000000
χ718-8000008-2-2-2-2-20025−2525−2525−2525−2525−25-822222000000000000000000000000000000000000000000000000000
χ728-8000008-2-2-2-2-200−2525−2525−2525−2525−2525-822222000000000000000000000000000000000000000000000000000
χ738-800000-28-2-2-2-225−250025−25−2525−252525−252-82222000000000000000000000000000000000000000000000000000
χ748-800000-28-2-2-2-2−252500−252525−2525−25−25252-82222000000000000000000000000000000000000000000000000000
χ758-800000-2-2−2+253−53+5−2−2525−25−2525005+5−5−5−5+55−500222−25−3+5−3−52+25000000000000000000000000000000000000000000000000000
χ768-800000-2-2−2+253−53+5−2−25−252525−2500−5−55+55−5−5+500222−25−3+5−3−52+25000000000000000000000000000000000000000000000000000
χ778-800000-2-23−5−2−25−2+253+525−2525−25−5−55+500005−5−5+522−3+52+252−25−3−5000000000000000000000000000000000000000000000000000
χ788-800000-2-23−5−2−25−2+253+5−2525−25255+5−5−50000−5+55−522−3+52+252−25−3−5000000000000000000000000000000000000000000000000000
χ798-800000-2-23+5−2+25−2−253−525−2525−255−5−5+50000−5−55+522−3−52−252+25−3+5000000000000000000000000000000000000000000000000000
χ808-800000-2-23+5−2+25−2−253−5−2525−2525−5+55−500005+5−5−522−3−52−252+25−3+5000000000000000000000000000000000000000000000000000
χ818-800000-2-2−2−253+53−5−2+2525−25−252500−5+55−55+5−5−500222+25−3−5−3+52−25000000000000000000000000000000000000000000000000000
χ828-800000-2-2−2−253+53−5−2+25−252525−25005−5−5+5−5−55+500222+25−3−5−3+52−25000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).