Finite Group Databasebeta

← Group #13104922

Character table — Group #13104922

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size112444444444444488888888888888888825255050505050100100100112444444444444488888888888888888825255050505050100100100
order1244555555101010101010202020202020202020202020202020202020224888844422441010101010101010101010102020202020202020202020202020202020202248888444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-11-1-11111111111111111111111111111111111111-1-1-1-11-1-1
χ31111111111111111111111111111111111-1-1-1ii−i−i-1i−i1111111111111111111111111111111111-1-1-1ii−i−i-1i−i
χ41111111111111111111111111111111111-1-1-1−i−iii-1−ii1111111111111111111111111111111111-1-1-1−i−iii-1−ii
χ5111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1
χ6111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111
χ7111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1−ii111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1−ii
χ8111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1i−i111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1i−i
χ922-20222222222222-2-2-2-2-2-200000000000022-2000000022-20222222222222-2-2-2-2-2-200000000000022-20000000
χ1022-20222222222222-2-2-2-2-2-2000000000000-2-22000000022-20222222222222-2-2-2-2-2-2000000000000-2-220000000
χ112-200222222-2-2-2-2-2-20000000000000000002-202−22−20002-200222222-2-2-2-2-2-20000000000000000002-202−22−2000
χ122-200222222-2-2-2-2-2-20000000000000000002-20−22−220002-200222222-2-2-2-2-2-20000000000000000002-20−22−22000
χ132-200222222-2-2-2-2-2-2000000000000000000-220i2−i2−i2i20002-200222222-2-2-2-2-2-2000000000000000000-220i2−i2−i2i2000
χ142-200222222-2-2-2-2-2-2000000000000000000-220−i2i2i2−i20002-200222222-2-2-2-2-2-2000000000000000000-220−i2i2i2−i2000
χ1544444-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1000000000044444-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-10000000000
χ164444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-100000000004444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-10000000000
χ174444-1-1−1+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+52−1−5−1−500000000004444-1-1−1+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+52−1−5−1−50000000000
χ184444-1-13−52−1−5−1+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+5200000000004444-1-13−52−1−5−1+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+520000000000
χ194444-1-13+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+5−1−5−1−53−523−5200000000004444-1-13+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+5−1−5−1−53−523−520000000000
χ204444-1-1−1−53+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+500000000004444-1-1−1−53+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+50000000000
χ21444-44-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-4-411111111110000000000444-44-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-4-411111111110000000000
χ22444-4-14-1-1-1-1-14-1-1-1-1-14-1-1-1-111-4-4111111110000000000444-4-14-1-1-1-1-14-1-1-1-1-14-1-1-1-111-4-4111111110000000000
χ23444-4-1-1−1+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+50000000000444-4-1-1−1+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+50000000000
χ24444-4-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−520000000000444-4-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−520000000000
χ25444-4-1-13+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+520000000000444-4-1-13+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+520000000000
χ26444-4-1-1−1−53+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+521−51−50000000000444-4-1-1−1−53+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+521−51−50000000000
χ2744-404-1-1-1-1-14-1-1-1-1-1-411111005−55−55−55−55−5000000000044-404-1-1-1-1-14-1-1-1-1-1-411111005−55−55−55−55−50000000000
χ2844-404-1-1-1-1-14-1-1-1-1-1-41111100−55−55−55−55−55000000000044-404-1-1-1-1-14-1-1-1-1-1-41111100−55−55−55−55−550000000000
χ2944-40-14-1-1-1-1-14-1-1-1-11-411115−5005−5−55−555−5000000000044-40-14-1-1-1-1-14-1-1-1-11-411115−5005−5−55−555−50000000000
χ3044-40-14-1-1-1-1-14-1-1-1-11-41111−5500−555−55−5−55000000000044-40-14-1-1-1-1-14-1-1-1-11-41111−5500−555−55−5−550000000000
χ3144-40-1-1−1+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+525−5200000000000044-40-1-1−1+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+525−52000000000000
χ3244-40-1-1−1+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+5200000000000044-40-1-1−1+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+52000000000000
χ3344-40-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−525−55−5−5−525+5200005−52−5+52000000000044-40-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−525−55−5−5−525+5200005−52−5+520000000000
χ3444-40-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−52−55−555+52−5−520000−5+525−52000000000044-40-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−52−55−555+52−5−520000−5+525−520000000000
χ3544-40-1-13+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+52000000000044-40-1-13+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+520000000000
χ3644-40-1-13+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+52−5−52000000000044-40-1-13+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+52−5−520000000000
χ3744-40-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5111+5−3−52−3+521−55−5−5500−5+525−525+52−5−5200000000000044-40-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5111+5−3−52−3+521−55−5−5500−5+525−525+52−5−52000000000000
χ3844-40-1-1−1−53+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+5200000000000044-40-1-1−1−53+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+52000000000000
χ398-8008-2-2-2-2-2-82222200000000000000000000000000008-8008-2-2-2-2-2-8222220000000000000000000000000000
χ408-800-28-2-2-2-22-8222200000000000000000000000000008-800-28-2-2-2-22-822220000000000000000000000000000
χ418-800-2-2−2+253−53+5−2−25222−25−3+5−3−52+2500000000000000000000000000008-800-2-2−2+253−53+5−2−25222−25−3+5−3−52+250000000000000000000000000000
χ428-800-2-23−5−2−25−2+253+522−3+52+252−25−3−500000000000000000000000000008-800-2-23−5−2−25−2+253+522−3+52+252−25−3−50000000000000000000000000000
χ438-800-2-23+5−2+25−2−253−522−3−52−252+25−3+500000000000000000000000000008-800-2-23+5−2+25−2−253−522−3−52−252+25−3+50000000000000000000000000000
χ448-800-2-2−2−253+53−5−2+25222+25−3−5−3+52−2500000000000000000000000000008-800-2-2−2−253+53−5−2+25222+25−3−5−3+52−250000000000000000000000000000
χ4511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ461111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ471111111111111111111111111111111111-1-1-1ii−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−iii1−ii
χ481111111111111111111111111111111111-1-1-1−i−iii-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111ii−i−i1i−i
χ49111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1111
χ50111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111111-1-1
χ51111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1−ii-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111−i−iii-1i−i
χ52111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1i−i-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111ii−i−i-1−ii
χ5322-20222222222222-2-2-2-2-2-200000000000022-20000000-2-220-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000-2-220000000
χ5422-20222222222222-2-2-2-2-2-2000000000000-2-220000000-2-220-2-2-2-2-2-2-2-2-2-2-2-222222200000000000022-20000000
χ552-200222222-2-2-2-2-2-20000000000000000002-202−22−2000-2200-2-2-2-2-2-2222222000000000000000000-220−22−22000
χ562-200222222-2-2-2-2-2-20000000000000000002-20−22−22000-2200-2-2-2-2-2-2222222000000000000000000-2202−22−2000
χ572-200222222-2-2-2-2-2-2000000000000000000-220i2−i2−i2i2000-2200-2-2-2-2-2-22222220000000000000000002-20−i2i2i2−i2000
χ582-200222222-2-2-2-2-2-2000000000000000000-220−i2i2i2−i2000-2200-2-2-2-2-2-22222220000000000000000002-20i2−i2−i2i2000
χ5944444-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-10000000000-4-4-4-4-411111-411111-411111-4-411111111110000000000
χ604444-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-144-1-1-1-1-1-1-1-10000000000-4-4-4-41-411111-411111-4111111-4-4111111110000000000
χ614444-1-1−1+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+52−1−5−1−50000000000-4-4-4-4111−5−3+52−3−521+5111−5−3+52−3−521+5111−5−3+52−3−521+511111−51−5−3+52−3+52−3−52−3−521+51+50000000000
χ624444-1-13−52−1−5−1+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+520000000000-4-4-4-411−3+521+51−5−3−5211−3+521+51−5−3−5211−3+521+51−5−3−521111−3+52−3+521+51+51−51−5−3−52−3−520000000000
χ634444-1-13+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+5−1−5−1−53−523−520000000000-4-4-4-411−3−521−51+5−3+5211−3−521−51+5−3+5211−3−521−51+5−3+521111−3−52−3−521−51−51+51+5−3+52−3+520000000000
χ644444-1-1−1−53+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+50000000000-4-4-4-4111+5−3−52−3+521−5111+5−3−52−3+521−5111+5−3−52−3+521−511111+51+5−3−52−3−52−3+52−3+521−51−50000000000
χ65444-44-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-4-411111111110000000000-4-4-44-411111-411111-41111144-1-1-1-1-1-1-1-1-1-10000000000
χ66444-4-14-1-1-1-1-14-1-1-1-1-14-1-1-1-111-4-4111111110000000000-4-4-441-411111-411111-41111-1-144-1-1-1-1-1-1-1-10000000000
χ67444-4-1-1−1+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+50000000000-4-4-44111−5−3+52−3−521+5111−5−3+52−3−521+5111−5−3+52−3−521+5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−50000000000
χ68444-4-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+521111−3+52−3+521+51+51−51−5−3−52−3−520000000000-4-4-4411−3+521+51−5−3−5211−3+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+520000000000
χ69444-4-1-13+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+520000000000-4-4-4411−3−521−51+5−3+5211−3−521−51+5−3+5211−3−521−51+5−3+52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−520000000000
χ70444-4-1-1−1−53+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+521−51−50000000000-4-4-44111+5−3−52−3+521−5111+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+50000000000
χ7144-404-1-1-1-1-14-1-1-1-1-1-411111005−55−55−55−55−50000000000-4-440-411111-4111114-1-1-1-1-100−55−55−55−55−550000000000
χ7244-404-1-1-1-1-14-1-1-1-1-1-41111100−55−55−55−55−550000000000-4-440-411111-4111114-1-1-1-1-1005−55−55−55−55−50000000000
χ7344-40-14-1-1-1-1-14-1-1-1-11-411115−5005−5−55−555−50000000000-4-4401-411111-41111-14-1-1-1-1−5500−555−55−5−550000000000
χ7444-40-14-1-1-1-1-14-1-1-1-11-41111−5500−555−55−5−550000000000-4-4401-411111-41111-14-1-1-1-15−5005−5−55−555−50000000000
χ7544-40-1-1−1+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+525−52000000000000-4-440111−5−3+52−3−521+5111−5−3+52−3−521+5-1-1−1+53−523+52−1−5−555−500−5−525+525−52−5+52000000000000
χ7644-40-1-1−1+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+52000000000000-4-440111−5−3+52−3−521+5111−5−3+52−3−521+5-1-1−1+53−523+52−1−55−5−55005+52−5−52−5+525−52000000000000
χ7744-40-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−525−55−5−5−525+5200005−52−5+520000000000-4-44011−3+521+51−5−3−5211−3+521+51−5−3−52-1-13−52−1−5−1+53+52−55−555+52−5−520000−5+525−520000000000
χ7844-40-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5211−3+521+51−5−3−52−55−555+52−5−520000−5+525−520000000000-4-44011−3+521+51−5−3−5211−3+521+51−5−3−52-1-13−52−1−5−1+53+525−55−5−5−525+5200005−52−5+520000000000
χ7944-40-1-13+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+520000000000-4-44011−3−521−51+5−3+5211−3−521−51+5−3+52-1-13+52−1+5−1−53−52−55−55−5+525−5200005+52−5−520000000000
χ8044-40-1-13+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+52−5−520000000000-4-44011−3−521−51+5−3+5211−3−521−51+5−3+52-1-13+52−1+5−1−53−525−55−55−52−5+520000−5−525+520000000000
χ8144-40-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5111+5−3−52−3+521−55−5−5500−5+525−525+52−5−52000000000000-4-440111+5−3−52−3+521−5111+5−3−52−3+521−5-1-1−1−53+523−52−1+5−555−5005−52−5+52−5−525+52000000000000
χ8244-40-1-1−1−53+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+52000000000000-4-440111+5−3−52−3+521−5111+5−3−52−3+521−5-1-1−1−53+523−52−1+55−5−5500−5+525−525+52−5−52000000000000
χ838-8008-2-2-2-2-2-8222220000000000000000000000000000-8800-8222228-2-2-2-2-20000000000000000000000000000
χ848-800-28-2-2-2-22-822220000000000000000000000000000-88002-82222-28-2-2-2-20000000000000000000000000000
χ858-800-2-2−2+253−53+5−2−25222−25−3+5−3−52+250000000000000000000000000000-8800222−25−3+5−3−52+25-2-2−2+253−53+5−2−250000000000000000000000000000
χ868-800-2-23−5−2−25−2+253+522−3+52+252−25−3−50000000000000000000000000000-880022−3+52+252−25−3−5-2-23−5−2−25−2+253+50000000000000000000000000000
χ878-800-2-23+5−2+25−2−253−522−3−52−252+25−3+50000000000000000000000000000-880022−3−52−252+25−3+5-2-23+5−2+25−2−253−50000000000000000000000000000
χ888-800-2-2−2−253+53−5−2+25222+25−3−5−3+52−250000000000000000000000000000-8800222+25−3−5−3+52−25-2-2−2−253+53−5−2+250000000000000000000000000000

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