Finite Group Databasebeta

← Group #13101192

Character table — Group #13101192

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1122222222222222244444444444444444444444444888888888888888888888888888888888202020202020202020202020202040404040404040404040404040100100200
order12244555510101010202020205555101010101010101020202020202020202020202020208101010102020202040404040404040404040404040404040404040404040404022444420202020202020204101010102020202020202020228
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-11-11111111111-111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1
χ61111111111111111111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-11
χ71111111111111111111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111-1-1-111-1-111-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1
χ92222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5202020000000000200−1+52−1−5200−1+52−1−52−1+52−1+52−1−52−1−52000
χ102222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520-20-20000000000-2001−521+52001−521+521−521−521+521+52000
χ112222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+5202020000000000-200−1+52−1−5200−1+52−1−521−521−521+521+52000
χ122222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+520-20-200000000002001−521+52001−521+52−1+52−1+52−1−52−1−52000
χ132222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5202020000000000200−1−52−1+5200−1−52−1+52−1−52−1−52−1+52−1+52000
χ142222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520-20-20000000000-2001+521−52001+521−521+521+521−521−52000
χ152222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−5202020000000000-200−1−52−1+5200−1−52−1+521+521+521−521−52000
χ162222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−520-20-200000000002001+521−52001+521−52−1−52−1−52−1+52−1+52000
χ1722222−1+52−1−5222−1+52−1−5222−1+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52202022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520−1+52−1−5200−1+52−1−52000000000
χ1822222−1+52−1−5222−1+52−1−5222−1+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-20-20-2-21−521−521−521−521+521+521+521+5201−521+52001−521+52000000000
χ1922222−1+52−1−5222−1+52−1−5222−1+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-21−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+522020-2-21−521−521−521−521+521+521+521+520−1+52−1−5200−1+52−1−52000000000
χ2022222−1+52−1−5222−1+52−1−5222−1+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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-21−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+52-20-2022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5201−521+52001−521+52000000000
χ2122222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52202022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520−1−52−1+5200−1−52−1+52000000000
χ2222222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-20-20-2-21+521+521+521+521−521−521−521−5201+521−52001+521−52000000000
χ2322222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-21+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−522020-2-21+521+521+521+521−521−521−521−520−1−52−1+5200−1−52−1+52000000000
χ2422222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-21+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−52-20-2022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5201+521−52001+521−52000000000
χ25222-2-222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-202222-2-2-2-20000000000000000000000000000000000000000000000000002-20
χ26222-2-222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-202222-2-2-2-2000000000000000000000000000000000000000000000000000-220
χ2722-22-22222222222222222-2-22222-2-2-2-2-2-222222222220-2-2-2-2-2-2-2-2000000000000000000000000020-200000000000002200-2-20000000
χ2822-22-22222222222222222-2-22222-2-2-2-2-2-222222222220-2-2-2-2-2-2-2-20000000000000000000000000-2020000000000000-2-200220000000
χ2922-22-222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52-2-2-2-21−521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5201−521−521+521+521−521−521+521+520000ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18020-20000000000000−1+52−1−52001−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000
χ3022-22-222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52-2-2-2-21−521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5201−521−521+521+521−521−521+521+520000ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ180-20200000000000001−521+5200−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000
χ3122-22-222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52-2-2-2-21−521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5201−521−521+521+521−521−521+521+520000−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18020-20000000000000−1+52−1−52001−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000
χ3222-22-222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52-2-2-2-21−521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5201−521−521+521+521−521−521+521+520000−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ180-20200000000000001−521+5200−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000
χ3322-22-222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52-2-2-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5201+521+521−521−521+521+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14020-20000000000000−1−52−1+52001+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000
χ3422-22-222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52-2-2-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5201+521+521−521−521+521+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140-20200000000000001+521−5200−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000
χ3522-22-222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52-2-2-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5201+521+521−521−521+521+521−521−520000ζ2−ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14020-20000000000000−1−52−1+52001+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000
χ3622-22-222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52-2-2-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5201+521+521−521−521+521+521−521−520000ζ2−ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140-20200000000000001+521−5200−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000
χ3722-2-2222222222-2-2-2-22222-2-22222-2-22222-2-2-2-2-2-2-2-2-2-20-2-2-2-2222200000000000000000000000020-20000000000002200-2-2000000000
χ3822-2-2222222222-2-2-2-22222-2-22222-2-22222-2-2-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000-202000000000000-2-20022000000000
χ3922-2-22−1+52−1−5222−1+52−1−52221−521−521+521+52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−5222-2-21−521−521+521+521−521−521+521+5201−521+521−521+52−1+52−1−52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ700−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ720-2000−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ70−1+52−1−52001−521+52000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.