Finite Group Databasebeta

← Group #13105845

Character table — Group #13105845

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11222222222444444444444444888888888888888888888888101010101616161616161616202020202020202020202020202040404040404040404040404050505050100100
order12455551010101024555581010101020202020101010102020202020202020404040404040404040404040224410101010202020202244881010101020202020101010102020202040404040248824
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-11111111111-1-11-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-11-1111111111-1-111-1111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111-11111-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-11-1
χ6111111111111-11111-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11-1-11-11-1-11111-1-111-1-1-1-111-1-111-1-111-11
χ7111111111111-11111-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-111-11-111-1-1-1-111-1-11111-1-111-1-1-1-111-11
χ8111111111111-11111-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11-1
χ911111111111-111111-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111111111-1-111-1-111-1-1-1-111-1-1-11
χ1011111111111-111111-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1111-1
χ1111111111111-111111-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1
χ1211111111111-111111-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-11
χ1311111111111-1-11111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ1411111111111-1-11111111111111-1-1-1-1-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ1511111111111-1-11111111111111-1-1-1-1-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111
χ1611111111111-1-11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ1722222−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522020−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222002000−1+52−1−52−1+52−1−5200−1+52−1−52−1+52−1−520000−1+52−1−5200000000
χ1822222−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-20-20−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200-20001−521+521−521+52001−521+521−521+5200001−521+5200000000
χ1922222−1+52−1−52−1+52−1−52222-2−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−521−521+52-2-2−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+522020−1+52−1+52−1−52−1−521−521−521+521+522-200-2000−1+52−1−52−1+52−1−5200−1+52−1−521−521+5200001−521+5200000000
χ2022222−1+52−1−52−1+52−1−52222-2−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−521−521+52-2-2−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+52-20-20−1+52−1+52−1−52−1−521−521−521+521+52-220020001−521+521−521+52001−521+52−1+52−1−520000−1+52−1−5200000000
χ2122222−1+52−1−52−1+52−1−5222-22−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521+52−1+52−1−5222−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+5220201−521−521+521+52−1+52−1+52−1−52−1−52-2200-2000−1+52−1−52−1+52−1−52001−521+52−1+52−1−5200001−521+5200000000
χ2222222−1+52−1−52−1+52−1−5222-22−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521+52−1+52−1−5222−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+52-20-201−521−521+521+52−1+52−1+52−1−52−1−522-20020001−521+521−521+5200−1+52−1−521−521+520000−1+52−1−5200000000
χ2322222−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521+521−521+52-2-2−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5220201−521−521+521+521−521−521+521+52-2-2002000−1+52−1−52−1+52−1−52001−521+521−521+520000−1+52−1−5200000000
χ2422222−1+52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521+521−521+52-2-2−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-20-201−521−521+521+521−521−521+521+522200-20001−521+521−521+5200−1+52−1−52−1+52−1−5200001−521+5200000000
χ2522222−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522020−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222002000−1−52−1+52−1−52−1+5200−1−52−1+52−1−52−1+520000−1−52−1+5200000000
χ2622222−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-20-20−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200-20001+521−521+521−52001+521−521+521−5200001+521−5200000000
χ2722222−1−52−1+52−1−52−1+52222-2−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+521+521−52-2-2−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−522020−1−52−1−52−1+52−1+521+521+521−521−522-200-2000−1−52−1+52−1−52−1+5200−1−52−1+521+521−5200001+521−5200000000
χ2822222−1−52−1+52−1−52−1+52222-2−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+521+521−52-2-2−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−52-20-20−1−52−1−52−1+52−1+521+521+521−521−52-220020001+521−521+521−52001+521−52−1−52−1+520000−1−52−1+5200000000
χ2922222−1−52−1+52−1−52−1+5222-22−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521−52−1−52−1+5222−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−5220201+521+521−521−52−1−52−1−52−1+52−1+52-2200-2000−1−52−1+52−1−52−1+52001+521−52−1−52−1+5200001+521−5200000000
χ3022222−1−52−1+52−1−52−1+5222-22−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521−52−1−52−1+5222−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−52-20-201+521+521−521−52−1−52−1−52−1+52−1+522-20020001+521−521+521−5200−1−52−1+521+521−520000−1−52−1+5200000000
χ3122222−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521−521+521−52-2-2−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5220201+521+521−521−521+521+521−521−52-2-2002000−1−52−1+52−1−52−1+52001+521−521+521−520000−1−52−1+5200000000
χ3222222−1−52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521−521+521−52-2-2−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-20-201+521+521−521−521+521+521−521−522200-20001+521−521+521−5200−1−52−1+52−1−52−1+5200001+521−5200000000
χ33222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520202−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52002202−1+52−1−520000−1+52−1−520000−1+52−1−52−1+52−1−5200−1+52−1−52000000
χ34222−1+52−1−522222−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520-20-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200-2-20-21−521+5200001−521+5200001−521+521−521+52001−521+52000000
χ35222−1+52−1−522222−1+52−1−522-2−1+52−1−52−1+52−1−52-2−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222-2-21−521+52−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+520202−1+52−1−52−1+52−1−521−521+521−521+52002-20-2−1+52−1−520000−1+52−1−520000−1+52−1−521−521+52001−521+52000000
χ36222−1+52−1−522222−1+52−1−522-2−1+52−1−52−1+52−1−52-2−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222-2-21−521+52−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+520-20-2−1+52−1−52−1+52−1−521−521+521−521+5200-22021−521+5200001−521+5200001−521+52−1+52−1−5200−1+52−1−52000000
χ37222−1+52−1−522222−1+52−1−52-22−1+52−1−52−1+52−1−52-2−1+52−1−52−1+52−1−5222−1+52−1−521−521+52-2-222−1+52−1−52−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+5202021−521+521−521+52−1+52−1−52−1+52−1−5200-220-2−1+52−1−520000−1+52−1−5200001−521+52−1+52−1−52001−521+52000000
χ38222−1+52−1−522222−1+52−1−52-22−1+52−1−52−1+52−1−52-2−1+52−1−52−1+52−1−5222−1+52−1−521−521+52-2-222−1+52−1−52−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+520-20-21−521+521−521+52−1+52−1−52−1+52−1−52002-2021−521+5200001−521+520000−1+52−1−521−521+5200−1+52−1−52000000
χ39222−1+52−1−522222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−5222−1+52−1−521−521+52-2-2-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5202021−521+521−521+521−521+521−521+5200-2-202−1+52−1−520000−1+52−1−5200001−521+521−521+5200−1+52−1−52000000
χ40222−1+52−1−522222−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−5222−1+52−1−521−521+52-2-2-2-21−521+52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520-20-21−521+521−521+521−521+521−521+5200220-21−521+5200001−521+520000−1+52−1−52−1+52−1−52001−521+52000000
χ41222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520202−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52002202−1−52−1+520000−1−52−1+520000−1−52−1+52−1−52−1+5200−1−52−1+52000000
χ42222−1−52−1+522222−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520-20-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200-2-20-21+521−5200001+521−5200001+521−521+521−52001+521−52000000
χ43222−1−52−1+522222−1−52−1+522-2−1−52−1+52−1−52−1+52-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222-2-21+521−52−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−520202−1−52−1+52−1−52−1+521+521−521+521−52002-20-2−1−52−1+520000−1−52−1+520000−1−52−1+521+521−52001+521−52000000
χ44222−1−52−1+522222−1−52−1+522-2−1−52−1+52−1−52−1+52-2−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222-2-21+521−52−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−520-20-2−1−52−1+52−1−52−1+521+521−521+521−5200-22021+521−5200001+521−5200001+521−52−1−52−1+5200−1−52−1+52000000
χ45222−1−52−1+522222−1−52−1+52-22−1−52−1+52−1−52−1+52-2−1−52−1+52−1−52−1+5222−1−52−1+521+521−52-2-222−1−52−1+52−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−5202021+521−521+521−52−1−52−1+52−1−52−1+5200-220-2−1−52−1+520000−1−52−1+5200001+521−52−1−52−1+52001+521−52000000
χ46222−1−52−1+522222−1−52−1+52-22−1−52−1+52−1−52−1+52-2−1−52−1+52−1−52−1+5222−1−52−1+521+521−52-2-222−1−52−1+52−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−520-20-21+521−521+521−52−1−52−1+52−1−52−1+52002-2021+521−5200001+521−520000−1−52−1+521+521−5200−1−52−1+52000000
χ47222−1−52−1+522222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+521+521−52-2-2-2-21+521−52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5202021+521−521+521−521+521−521+521−5200-2-202−1−52−1+520000−1−52−1+5200001+521−521+521−5200−1−52−1+52000000
χ48222−1−52−1+522222−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+521+521−52-2-2-2-21+521−52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520-20-21+521−521+521−521+521−521+521−5200220-21+521−5200001+521−520000−1−52−1+52−1−52−1+52001+521−52000000
χ4922-22222222200222202222-2-2-2-200000000-2-2-2-200000000000022-2-2000000000000002222-2-2-2-2000000000000-220000
χ5022-22222222200222202222-2-2-2-200000000-2-2-2-20000000000002-2-2200000000000000-2-222-2-2220000000000002-20000
χ5122-22222222200222202222-2-2-2-200000000-2-2-2-2000000000000-222-20000000000000022-2-222-2-20000000000002-20000
χ5222-22222222200222202222-2-2-2-200000000-2-2-2-2000000000000-2-22200000000000000-2-2-2-22222000000000000-220000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.