Finite Group Databasebeta

← Group #10718660

Character table — Group #10718660

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order12222222222222223444444446666666666666664444444444444444121212121212121212121212121212121212121212121212444444442222666666661212121212121212222222224444444444444444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111
χ1711111-1-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−i11-1-111-1-1i−ii−i
χ1811111-1-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-11-111-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii-1-111-1-111−ii−ii
χ1911111-1-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−i−iii−i−iii-1-111-1-111ii−i−i11-1-111-1-1−ii−ii
χ2011111-1-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-11-11-1-111-1-111−i−iii−i−iii11-1-111-1-1−i−iii-1-111-1-111i−ii−i
χ2111111-1-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-111-1-111ii−i−iii−i−i11-1-111-1-1ii−i−i-1-111-1-111−ii−ii
χ2211111-1-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111ii−i−iii−i−i-1-111-1-111−i−iii11-1-111-1-1i−ii−i
χ2311111-1-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−i-1-111-1-111i−ii−i
χ2411111-1-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii11-1-111-1-1−ii−ii
χ2511111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-1-1-1-11-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111ii−i−i−i−iii11-1-1-1-111−i−iii11-1-1-1-111i−i−ii
χ2611111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-1-1-1-11-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-1-1-111ii−i−i−i−iii-1-11111-1-1ii−i−i-1-11111-1-1−iii−i
χ2711111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-1-1-1-11-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iii11-1-1-1-111−iii−i
χ2811111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-1-1-1-11-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-111-1-1-11111-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i-1-11111-1-1i−i−ii
χ2911111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-1-1-1-11-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-111-1-1-11111-1-1ii−i−i−i−iii11-1-1-1-111−i−iii-1-11111-1-1−iii−i
χ3011111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-1-1-1-11-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i11-1-1-1-111i−i−ii
χ3111111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-1-1-1-11-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-1-1-111−i−iiiii−i−i-1-11111-1-1−i−iii-1-11111-1-1i−i−ii
χ3211111-1-1-11-1-111-1-1-11-1-1-1-11111111111-1-1-1-1-11-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111−i−iiiii−i−i11-1-1-1-111ii−i−i11-1-1-1-111−iii−i
χ332222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000002222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ372222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000022-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ382222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-11111111100000000-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ392222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ402222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000022-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ4122222-2-2-22-2-222-2-2-2-12222-2-2-2-2-1-1-1-1-1-111111-11112i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii000000002-22-2-1-111-1-111−i−iii−i−iii000000000000000000000000
χ4222222-2-2-22-2-222-2-2-2-12222-2-2-2-2-1-1-1-1-1-111111-11112i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii00000000-22-2211-1-111-1-1ii−i−iii−i−i000000000000000000000000
χ4322222-2-2-22-2-222-2-2-2-12222-2-2-2-2-1-1-1-1-1-111111-1111−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i00000000-22-2211-1-111-1-1−i−iii−i−iii000000000000000000000000
χ4422222-2-2-22-2-222-2-2-2-12222-2-2-2-2-1-1-1-1-1-111111-1111−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i000000002-22-2-1-111-1-111ii−i−iii−i−i000000000000000000000000
χ4522222-2-2-22-2-222-2-2-2-1-2-2-2-22222-1-1-1-1-1-111111-11112i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000002-2-22-1-11111-1-1−i−iiiii−i−i000000000000000000000000
χ4622222-2-2-22-2-222-2-2-2-1-2-2-2-22222-1-1-1-1-1-111111-11112i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000-222-211-1-1-1-111ii−i−i−i−iii000000000000000000000000
χ4722222-2-2-22-2-222-2-2-2-1-2-2-2-22222-1-1-1-1-1-111111-1111−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000-222-211-1-1-1-111−i−iiiii−i−i000000000000000000000000
χ4822222-2-2-22-2-222-2-2-2-1-2-2-2-22222-1-1-1-1-1-111111-1111−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000002-2-22-1-11111-1-1ii−i−i−i−iii000000000000000000000000
χ49222-2-22222-2-2-2-2-2-22222-2-222-2-222-2-2-2-22222-22-2-2-2000000002i−2i2i−2i2i−2i2i−2i22-2-222-2-20000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ50222-2-22222-2-2-2-2-2-22222-2-222-2-222-2-2-2-22222-22-2-2-200000000−2i2i−2i2i−2i2i−2i2i22-2-222-2-2000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ51222-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-22-2-2-2000000002i−2i2i−2i−2i2i−2i2i-2-222-2-2220000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ52222-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-22-2-2-200000000−2i2i−2i2i2i−2i2i−2i-2-222-2-222000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ53222-2-22222-2-2-2-2-2-22-122-2-222-2-2-1-11111-1-1-1-11-1111000000002i−2i2i−2i2i−2i2i−2i-1-111-1-11133−3−333−3−333−3−333−3−3000000000000−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii000000000000000000000000
χ54222-2-22222-2-2-2-2-2-22-122-2-222-2-2-1-11111-1-1-1-11-1111000000002i−2i2i−2i2i−2i2i−2i-1-111-1-111−3−333−3−333−3−333−3−333000000000000i3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii000000000000000000000000
χ55222-2-22222-2-2-2-2-2-22-122-2-222-2-2-1-11111-1-1-1-11-111100000000−2i2i−2i2i−2i2i−2i2i-1-111-1-11133−3−333−3−333−3−333−3−3000000000000i3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−i000000000000000000000000
χ56222-2-22222-2-2-2-2-2-22-122-2-222-2-2-1-11111-1-1-1-11-111100000000−2i2i−2i2i−2i2i−2i2i-1-111-1-111−3−333−3−333−3−333−3−333000000000000−i3i3−i3i3−i3i3−i3i3i−ii−ii−ii−i000000000000000000000000
χ57222-2-22222-2-2-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-11-1111000000002i−2i2i−2i−2i2i−2i2i11-1-111-1-133−3−333−3−3−3−333−3−333000000000000−i3i3−i3i3i3−i3i3−i3−ii−iii−ii−i000000000000000000000000
χ58222-2-22222-2-2-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-11-1111000000002i−2i2i−2i−2i2i−2i2i11-1-111-1-1−3−333−3−33333−3−333−3−3000000000000i3−i3i3−i3−i3i3−i3i3−ii−iii−ii−i000000000000000000000000
χ59222-2-22222-2-2-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-11-111100000000−2i2i−2i2i2i−2i2i−2i11-1-111-1-133−3−333−3−3−3−333−3−333000000000000i3−i3i3−i3−i3i3−i3i3i−ii−i−ii−ii000000000000000000000000
χ60222-2-22222-2-2-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-11-111100000000−2i2i−2i2i2i−2i2i−2i11-1-111-1-1−3−333−3−33333−3−333−3−3000000000000−i3i3−i3i3i3−i3i3−i3i−ii−i−ii−ii000000000000000000000000
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Here i is the imaginary unit (i² = −1).