Finite Group Databasebeta

← Group #10801235

Character table — Group #10801235

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111111111112222222222222222222222222222222222222222444444444444444444444444666666666666666666666666666666668888888888888888888888882424242424242424
order1222222244444444344444444666666688888888888888881212121212121212121212121212121224242424242424242424242424242424222244444444444488888888888888882444668888121212121212242424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111
χ1011111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111111-1-1111-1-1
χ1111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1
χ1211111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-111
χ1311111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-111-1-1-1-11111-111-111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-11111-1-11111-1-1-1-11-1-11-1-111
χ1511111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-111111-1-11-1-111
χ1611111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-1-111-111-1-1
χ1711111111-1-1-1-1-1-1-1-111111-1-1-1-11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111i−ii−i11-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i
χ1811111111-1-1-1-1-1-1-1-111111-1-1-1-11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1−ii−ii-1-11111−i−iii−i−iii-1-111−ii−ii
χ1911111111-1-1-1-1-1-1-1-111111-1-1-1-11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii11-1-111i−ii−i11-1-1-1-1ii−i−iii−i−i-1-111−ii−ii
χ2011111111-1-1-1-1-1-1-1-111111-1-1-1-11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1−ii−ii-1-11111−i−iii−i−iii11-1-1i−ii−i
χ2111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111−ii−ii11-1-1-1-1−i−iii−i−iii11-1-1−ii−ii
χ2211111111-1-1-1-1-1-1-1-111111-1-1-1-11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1i−ii−i-1-11111ii−i−iii−i−i-1-111i−ii−i
χ2311111111-1-1-1-1-1-1-1-111111-1-1-1-11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i11-1-111−ii−ii11-1-1-1-1−i−iii−i−iii-1-111i−ii−i
χ2411111111-1-1-1-1-1-1-1-111111-1-1-1-11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1i−ii−i-1-11111ii−i−iii−i−i11-1-1−ii−ii
χ2511111111-1-1-1-1-1-1-1-11-1-1-1-111111111111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1-11-111i−i−ii-1-111-1-1ii−i−i−i−iii-11-11−iii−i
χ2611111111-1-1-1-1-1-1-1-11-1-1-1-111111111111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11-11-1-1−iii−i11-1-111−i−iiiii−i−i1-11-1i−i−ii
χ2711111111-1-1-1-1-1-1-1-11-1-1-1-111111111111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-11-111i−i−ii-1-111-1-1ii−i−i−i−iii1-11-1i−i−ii
χ2811111111-1-1-1-1-1-1-1-11-1-1-1-111111111111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-1−iii−i11-1-111−i−iiiii−i−i-11-11−iii−i
χ2911111111-1-1-1-1-1-1-1-11-1-1-1-111111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1-11-111−iii−i-1-111-1-1−i−iiiii−i−i-11-11i−i−ii
χ3011111111-1-1-1-1-1-1-1-11-1-1-1-111111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-1i−i−ii11-1-111ii−i−i−i−iii1-11-1−iii−i
χ3111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-11-111−iii−i-1-111-1-1−i−iiiii−i−i1-11-1−iii−i
χ3211111111-1-1-1-1-1-1-1-11-1-1-1-111111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-11-1-1i−i−ii11-1-111ii−i−i−i−iii-11-11i−i−ii
χ332222222222222222-122222222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ342222222222222222-122222222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-211-2-2-2-21111111111111100000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000002222-1-1-2-2-2-2-1-1-1-1-1-11111111100000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000-2-2-2-2112222111111-1-1-1-1-1-1-1-100000000
χ372222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000002-2-22-1-122-2-21111-1-1-1-1-1-1111100000000
χ382222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000-222-211-2-222-1-1-1-1111111-1-1-1-100000000
χ392222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000002-2-22-1-1-2-2221111-1-11111-1-1-1-100000000
χ402222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000000000000000-222-21122-2-2-1-1-1-111-1-1-1-1111100000000
χ4122222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i11111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000000000000000000022-2-2-1-12i−2i2i−2i-1-11111−i−iii−i−iii00000000
χ4222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i11111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000-2-22211−2i2i−2i2i11-1-1-1-1ii−i−iii−i−i00000000
χ4322222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i11111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000000000000000000022-2-2-1-1−2i2i−2i2i-1-11111ii−i−iii−i−i00000000
χ4422222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i11111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000-2-222112i−2i2i−2i11-1-1-1-1−i−iii−i−iii00000000
χ4522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000000000002-22-2-1-12i−2i−2i2i11-1-111−i−iiiii−i−i00000000
χ4622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000-22-2211−2i2i2i−2i-1-111-1-1ii−i−i−i−iii00000000
χ4722222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000000000002-22-2-1-1−2i2i2i−2i11-1-111ii−i−i−i−iii00000000
χ4822222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000-22-22112i−2i−2i2i-1-111-1-1−i−iiiii−i−i00000000
χ49222-2-2-2-2222-2-2-2-22222i2i−2i−2i2i2i−2i−2i22-2-2-2-222i2i−2i−2i2i2i−2i−2i22-2-222-2-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i22-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ50222-2-2-2-2222-2-2-2-22222i2i−2i−2i2i2i−2i−2i22-2-2-2-22−2i−2i2i2i−2i−2i2i2i-2-222-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ51222-2-2-2-2222-2-2-2-2222−2i−2i2i2i−2i−2i2i2i22-2-2-2-222i2i−2i−2i2i2i−2i−2i-2-222-2-22222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ52222-2-2-2-2222-2-2-2-2222−2i−2i2i2i−2i−2i2i2i22-2-2-2-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i22-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ53222-2-2-2-2222-2-2-2-222-12i2i−2i−2i2i2i−2i−2i-1-11111-12i2i−2i−2i2i2i−2i−2i22-2-222-2-2-1-11111-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111000000000000000000000000000000000000−i3i300003−33−3−i3i33−33−3−i3i3−i3i300000000
χ54222-2-2-2-2222-2-2-2-222-12i2i−2i−2i2i2i−2i−2i-1-11111-12i2i−2i−2i2i2i−2i−2i22-2-222-2-2-1-11111-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111000000000000000000000000000000000000i3−i30000−33−33i3−i3−33−33i3−i3i3−i300000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.