Finite Group Databasebeta

← Group #10731956

Character table — Group #10731956

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424
order12222222222222223444444446666666666666661212121212121212121212121212121222224444444444444444444466666666121212121212121212121212121212121212121212121212121212121212121212121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ1211111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ172222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-10000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111110000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ212222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111110000000000000000
χ222222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-22222-2-2-2-2-2-2-2-22222222211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-222222222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ25222222-2-2-2-2-2-22-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ26222222-2-2-2-2-2-22-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ27222222-2-2-2-2-2-22-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2222222220000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ28222222-2-2-2-2-2-22-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-222222222000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ29222222-2-2-2-2-2-22-2-22-12222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111110000000000002i2i−2i−2i2i2i−2i−2i0000−i3−i3−i3−i3i3i3i3i33333−3−3−3−33333−3−3−3−3−i−i−i−iiiii−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i30000000000000000
χ30222222-2-2-2-2-2-22-2-22-12222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111110000000000002i2i−2i−2i2i2i−2i−2i0000i3i3i3i3−i3−i3−i3−i3−3−3−3−33333−3−3−3−33333−i−i−i−iiiii−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i30000000000000000
χ31222222-2-2-2-2-2-22-2-22-12222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111000000000000−2i−2i2i2i−2i−2i2i2i0000−i3−i3−i3−i3i3i3i3i3−3−3−3−33333−3−3−3−33333iiii−i−i−i−iiiii−i−i−i−i−i3−i3−i3−i3i3i3i3i30000000000000000
χ32222222-2-2-2-2-2-22-2-22-12222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111000000000000−2i−2i2i2i−2i−2i2i2i0000i3i3i3i3−i3−i3−i3−i33333−3−3−3−33333−3−3−3−3iiii−i−i−i−iiiii−i−i−i−ii3i3i3i3−i3−i3−i3−i30000000000000000
χ33222222-2-2-2-2-2-22-2-22-1-2-2-2-22222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-10000000000002i2i−2i−2i−2i−2i2i2i0000−i3−i3−i3−i3i3i3i3i33333−3−3−3−3−3−3−3−33333−i−i−i−iiiiiiiii−i−i−i−ii3i3i3i3−i3−i3−i3−i30000000000000000
χ34222222-2-2-2-2-2-22-2-22-1-2-2-2-22222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-10000000000002i2i−2i−2i−2i−2i2i2i0000i3i3i3i3−i3−i3−i3−i3−3−3−3−333333333−3−3−3−3−i−i−i−iiiiiiiii−i−i−i−i−i3−i3−i3−i3i3i3i3i30000000000000000
χ35222222-2-2-2-2-2-22-2-22-1-2-2-2-22222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-1000000000000−2i−2i2i2i2i2i−2i−2i0000−i3−i3−i3−i3i3i3i3i3−3−3−3−333333333−3−3−3−3iiii−i−i−i−i−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i30000000000000000
χ36222222-2-2-2-2-2-22-2-22-1-2-2-2-22222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-1000000000000−2i−2i2i2i2i2i−2i−2i0000i3i3i3i3−i3−i3−i3−i33333−3−3−3−3−3−3−3−33333iiii−i−i−i−i−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i30000000000000000
χ37222-2-2-22222-2-2-2-2-22200000000222-2-2-222-2-222-2-2-200000000000000000000000022-2-22i−2i2i−2i00002i2i−2i−2i000000000000000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ38222-2-2-22222-2-2-2-2-22200000000222-2-2-222-2-222-2-2-200000000000000000000000022-2-2−2i2i−2i2i0000−2i−2i2i2i000000000000000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ39222-2-2-22222-2-2-2-2-22200000000222-2-2-222-2-222-2-2-2000000000000000000000000-2-2222i−2i2i−2i0000−2i−2i2i2i0000000000000000-2-222-2-2222i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ40222-2-2-22222-2-2-2-2-22200000000222-2-2-222-2-222-2-2-2000000000000000000000000-2-222−2i2i−2i2i00002i2i−2i−2i0000000000000000-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ41222-2-2-22222-2-2-2-2-22-100000000-1-1-1111-1-111-1-11113333−3−3−3−33333−3−3−3−30000000022-2-22i−2i2i−2i00002i2i−2i−2i−i3−i3i3i3−i3−i3i3i333−3−333−3−3-1-111-1-111−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000000000000000
χ42222-2-2-22222-2-2-2-2-22-100000000-1-1-1111-1-111-1-11113333−3−3−3−33333−3−3−3−30000000022-2-2−2i2i−2i2i0000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i333−3−333−3−3-1-111-1-111ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000000000000000
χ43222-2-2-22222-2-2-2-2-22-100000000-1-1-1111-1-111-1-11113333−3−3−3−33333−3−3−3−300000000-2-2222i−2i2i−2i0000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i3−3−333−3−33311-1-111-1-1−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000000000
χ44222-2-2-22222-2-2-2-2-22-100000000-1-1-1111-1-111-1-11113333−3−3−3−33333−3−3−3−300000000-2-222−2i2i−2i2i00002i2i−2i−2i−i3−i3i3i3−i3−i3i3i3−3−333−3−33311-1-111-1-1ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000000000
χ45222-2-2-22222-2-2-2-2-22-100000000-1-1-1111-1-111-1-1111−3−3−3−33333−3−3−3−333330000000022-2-22i−2i2i−2i00002i2i−2i−2ii3i3−i3−i3i3i3−i3−i3−3−333−3−333-1-111-1-111−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000000000
χ46222-2-2-22222-2-2-2-2-22-100000000-1-1-1111-1-111-1-1111−3−3−3−33333−3−3−3−333330000000022-2-2−2i2i−2i2i0000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i3−3−333−3−333-1-111-1-111ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000000000
χ47222-2-2-22222-2-2-2-2-22-100000000-1-1-1111-1-111-1-1111−3−3−3−33333−3−3−3−3333300000000-2-2222i−2i2i−2i0000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i333−3−333−3−311-1-111-1-1−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000000000000000
χ48222-2-2-22222-2-2-2-2-22-100000000-1-1-1111-1-111-1-1111−3−3−3−33333−3−3−3−3333300000000-2-222−2i2i−2i2i00002i2i−2i−2ii3i3−i3−i3i3i3−i3−i333−3−333−3−311-1-111-1-1ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000000000000000
χ49222-2-2-2-2-2-2-222-2222200000000222-2-2-2-2-222-2-222-2000000000000000022-2-222-2-200002-2-220000000022-2-2-2-22222-2-2-2-2220000000022-2-2-2-22200000000000000000000000000000000
χ50222-2-2-2-2-2-2-222-2222200000000222-2-2-2-2-222-2-222-2000000000000000022-2-2-2-2220000-222-20000000022-2-2-2-222-2-22222-2-200000000-2-22222-2-200000000000000000000000000000000
χ51222-2-2-2-2-2-2-222-2222200000000222-2-2-2-2-222-2-222-20000000000000000-2-22222-2-20000-222-200000000-2-22222-2-222-2-2-2-22200000000-2-22222-2-200000000000000000000000000000000
χ52222-2-2-2-2-2-2-222-2222200000000222-2-2-2-2-222-2-222-20000000000000000-2-222-2-22200002-2-2200000000-2-22222-2-2-2-22222-2-20000000022-2-2-2-22200000000000000000000000000000000
χ53222-2-2-2-2-2-2-222-2222-100000000-1-1-111111-1-111-1-113333−3−3−3−3−3−3−3−3333322-2-222-2-200002-2-2200000000-1-11111-1-1-1-11111-1-1−3−33333−3−3-1-11111-1-1−3−33333−3−333−3−3−3−3330000000000000000
χ54222-2-2-2-2-2-2-222-2222-100000000-1-1-111111-1-111-1-113333−3−3−3−3−3−3−3−3333322-2-2-2-2220000-222-200000000-1-11111-1-111-1-1-1-11133−3−3−3−33311-1-1-1-11133−3−3−3−33333−3−3−3−3330000000000000000
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χ12844-44-4-4-44-44-444-44-4-2-4-44444-4-4-222-2222-22-22-22-2-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12944-4-4444-44-4-44-4-44-44000000004-4-4-4444-4-444-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13044-4-4444-44-4-44-4-44-4-200000000-2222-2-2-222-2-222-222323−23−23−23−2323232323−23−23−23−2323230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13144-4-4444-44-4-44-4-44-4-200000000-2222-2-2-222-2-222-22−23−2323232323−23−23−23−2323232323−23−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13244-4-444-44-444-4-44-4-44000000004-4-4-444-444-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13344-4-444-44-444-4-44-4-4-200000000-2222-2-22-2-222-2-2222323−23−23−23−232323−23−2323232323−23−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13444-4-444-44-444-4-44-4-4-200000000-2222-2-22-2-222-2-222−23−2323232323−23−232323−23−23−23−2323230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-444-444-4-444-4-4-44-4400000000-44-44-444-4-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-444-444-4-444-4-4-44-4-2000000002-22-22-2-222-22-2-22223−2323−23−2323−232323−2323−23−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-444-444-4-444-4-4-44-4-2000000002-22-22-2-222-22-2-222−2323−232323−2323−23−2323−232323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-444-44-444-4-44-44-4-4400000000-44-44-44-444-44-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-444-44-444-4-44-44-4-4-2000000002-22-22-22-2-22-222-2223−2323−23−2323−2323−2323−232323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-444-44-444-4-44-44-4-4-2000000002-22-22-22-2-22-222-22−2323−232323−2323−2323−2323−23−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-44-44-44-4-44-4444-4-4-24-44-44-44-42-222-22-22-222-22-2-2-22-22-22-22-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-44-44-44-4-44-4444-4-4-2-44-44-44-442-222-22-22-222-22-2-22-22-22-22-22-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-44-44-4-444-44-44-44-4-24-44-4-44-442-222-222-22-2-22-22-2-22-22-22-222-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-44-44-4-444-44-44-44-4-2-44-444-44-42-222-222-22-2-22-22-22-22-22-22-2-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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