Finite Group Databasebeta

← Group #10717153

Character table — Group #10717153

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order12222222222222222222222236666666666666664444444444444444666666661212121212121212121212121212121244444444444412121212121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1711111-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1i−ii−i
χ1811111-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111i−ii−iii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-111-1-111-1-111−ii−ii
χ1911111-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−ii−ii
χ2011111-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−ii−ii−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111-1-111-1-111i−ii−i
χ2111111-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111-1-111ii−i−iii−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−iiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-111−ii−ii
χ2211111-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111-1-111ii−i−iii−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−iiii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-11111-1-111-1-1i−ii−i
χ2311111-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111-1-111−i−iii−i−iii1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-111i−ii−i
χ2411111-1-1-1-11-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111-1-111−i−iii−i−iii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−i−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-11111-1-111-1-1−ii−ii
χ2511111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-111i−i−ii
χ2611111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111-1-1−iii−i
χ2711111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-111−iii−i
χ2811111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111-1-1i−i−ii
χ2911111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−iii−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-111-1-11111-1-1−iii−i
χ3011111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−iii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-1-1-111i−i−ii
χ3111111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1i−i−ii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-1i−i−ii
χ3211111-1-1-1-11-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-11-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−ii−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-111-1-1-1-111−iii−i
χ33222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ35222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ36222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000022-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-11111111100000000-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000022-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ4122222-2-2-2-22-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1111111-11122-2-222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111-1-1-1-11111-1-1-1-11111000000002i−2i2i−2i−i−iii−i−iii−i−iii−i−iii000000000000000000000000
χ4222222-2-2-2-22-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1111111-11122-2-222-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−2i2i−2i2iii−i−iii−i−iii−i−iii−i−i000000000000000000000000
χ4322222-2-2-2-22-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1111111-111-2-222-2-2222i2i−2i−2i2i2i−2i−2i-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−2i2i−2i2i−i−iii−i−iiiii−i−iii−i−i000000000000000000000000
χ4422222-2-2-2-22-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1111111-111-2-222-2-222−2i−2i2i2i−2i−2i2i2i-1-1-1-111111111-1-1-1-11111-1-1-1-1000000002i−2i2i−2iii−i−iii−i−i−i−iii−i−iii000000000000000000000000
χ4522222-2-2-2-22-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1111111-11122-2-2-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1-1-1-1-111111111-1-1-1-1000000002i−2i−2i2i−i−iiiii−i−i−i−iiiii−i−i000000000000000000000000
χ4622222-2-2-2-22-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1111111-11122-2-2-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−2i2i2i−2iii−i−i−i−iiiii−i−i−i−iii000000000000000000000000
χ4722222-2-2-2-22-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1111111-111-2-22222-2-22i2i−2i−2i−2i−2i2i2i1111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−2i2i2i−2i−i−iiiii−i−iii−i−i−i−iii000000000000000000000000
χ4822222-2-2-2-22-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1111111-111-2-22222-2-2−2i−2i2i2i2i2i−2i−2i1111-1-1-1-11111-1-1-1-1-1-1-1-11111000000002i−2i−2i2iii−i−i−i−iii−i−iiiii−i−i000000000000000000000000
χ49222-2-22222-2-2-2-2-22-222-2-222-2-22222-2-2-22222-2-2-2-2-2000000000000000022-2-222-2-2000000000000000022-2-222-2-200000000000000000000000000002-22-2000000000000
χ50222-2-22222-2-2-2-2-22-222-2-222-2-22222-2-2-22222-2-2-2-2-2000000000000000022-2-222-2-20000000000000000-2-222-2-2220000000000000000000000000000-22-22000000000000
χ51222-2-22222-2-2-2-2-22-2-2-222-2-2222222-2-2-22222-2-2-2-2-20000000000000000-2-222-2-222000000000000000022-2-222-2-20000000000000000000000000000-22-22000000000000
χ52222-2-22222-2-2-2-2-22-2-2-222-2-2222222-2-2-22222-2-2-2-2-20000000000000000-2-222-2-2220000000000000000-2-222-2-22200000000000000000000000000002-22-2000000000000
χ53222-2-2-2-2-2-2-222222-222-2-2-2-2222222-2-2-2-2-2-2-222-222000000000000000022-2-2-2-222000000000000000022-2-2-2-22200000000000000000000000000002-2-22000000000000
χ54222-2-2-2-2-2-2-222222-222-2-2-2-2222222-2-2-2-2-2-2-222-222000000000000000022-2-2-2-2220000000000000000-2-22222-2-20000000000000000000000000000-222-2000000000000
χ55222-2-2-2-2-2-2-222222-2-2-22222-2-22222-2-2-2-2-2-2-222-2220000000000000000-2-22222-2-2000000000000000022-2-2-2-2220000000000000000000000000000-222-2000000000000
χ56222-2-2-2-2-2-2-222222-2-2-22222-2-22222-2-2-2-2-2-2-222-2220000000000000000-2-22222-2-20000000000000000-2-22222-2-200000000000000000000000000002-2-22000000000000
χ5722-22-222-2-222-22-2-2-20000000022-2-22-2-222-2-22-222-200002-22-200000000000000000000000022-2-222-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002i−2i2i−2i0000
χ5822-22-222-2-222-22-2-2-20000000022-2-22-2-222-2-22-222-200002-22-200000000000000000000000022-2-222-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000−2i2i−2i2i0000
χ5922-22-222-2-222-22-2-2-20000000022-2-22-2-222-2-22-222-20000-22-22000000000000000000000000-2-222-2-2222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000−2i2i−2i2i0000
χ6022-22-222-2-222-22-2-2-20000000022-2-22-2-222-2-22-222-20000-22-22000000000000000000000000-2-222-2-222−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002i−2i2i−2i0000
χ6122-22-2-2-2222-22-22-2-20000000022-2-22-2-2-2-222-222-2200002-2-2200000000000000000000000022-2-2-2-2222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000002i−2i−2i2i0000
χ6222-22-2-2-2222-22-22-2-20000000022-2-22-2-2-2-222-222-2200002-2-2200000000000000000000000022-2-2-2-222−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000−2i2i2i−2i0000
χ6322-22-2-2-2222-22-22-2-20000000022-2-22-2-2-2-222-222-220000-222-2000000000000000000000000-2-22222-2-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000−2i2i2i−2i0000
χ6422-22-2-2-2222-22-22-2-20000000022-2-22-2-2-2-222-222-220000-222-2000000000000000000000000-2-22222-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000002i−2i−2i2i0000
χ6522-2-2222-2-2-2-22-22-220000000022-2-2-22222-2-2-22-2-222i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000002-22-200000000
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Here i is the imaginary unit (i² = −1).