Finite Group Databasebeta

← Group #366249

Character table — Group #366249

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222222222224444444444444444444444444444444444448888888888888888222244444444444444444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1111111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111
χ17111-1-1111-1-1-11-1-11-111-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−i11-1-1ii−i−i11-1-111-1-111-1-111-1-1i−ii−i
χ18111-1-1111-1-1-11-1-11-111-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1i−ii−i-1-111ii−i−i11-1-1-1-111-1-111-1-111−ii−ii
χ19111-1-1111-1-1-11-1-11-111-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111i−ii−i-1-111−i−iii-1-111-1-11111-1-111-1-1−ii−ii
χ20111-1-1111-1-1-11-1-11-111-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111i−ii−i11-1-1−i−iii-1-11111-1-1-1-111-1-111i−ii−i
χ21111-1-1111-1-1-11-1-11-111-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−ii−ii11-1-1ii−i−i-1-11111-1-1-1-111-1-111−ii−ii
χ22111-1-1111-1-1-11-1-11-111-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111−ii−ii-1-111ii−i−i-1-111-1-11111-1-111-1-1i−ii−i
χ23111-1-1111-1-1-11-1-11-111-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−ii-1-111−i−iii11-1-1-1-111-1-111-1-111i−ii−i
χ24111-1-1111-1-1-11-1-11-111-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii11-1-1−i−iii11-1-111-1-111-1-111-1-1−ii−ii
χ25111-1-1111-1-1-11-1-11-111-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111i−i−ii11-1-1−i−iii11-1-1-1-11111-1-1-1-111i−i−ii
χ26111-1-1111-1-1-11-1-11-111-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−ii-1-111−i−iii11-1-111-1-1-1-11111-1-1−iii−i
χ27111-1-1111-1-1-11-1-11-111-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1i−i−ii-1-111ii−i−i-1-11111-1-111-1-1-1-111−iii−i
χ28111-1-1111-1-1-11-1-11-111-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1i−i−ii11-1-1ii−i−i-1-111-1-111-1-11111-1-1i−i−ii
χ29111-1-1111-1-1-11-1-11-111-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1−iii−i11-1-1−i−iii-1-111-1-111-1-11111-1-1−iii−i
χ30111-1-1111-1-1-11-1-11-111-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1−iii−i-1-111−i−iii-1-11111-1-111-1-1-1-111i−i−ii
χ31111-1-1111-1-1-11-1-11-111-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i-1-111ii−i−i11-1-111-1-1-1-11111-1-1i−i−ii
χ32111-1-1111-1-1-11-1-11-111-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i11-1-1ii−i−i11-1-1-1-11111-1-1-1-111−iii−i
χ332222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2222222220000000000000000000000000000-2-2-2-20000000000000000000000000000
χ342222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022220000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000-2-2220000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000022-2-20000000000000000000000000000
χ37222-2-2222-2-2-22-2-22-2-2-2222222-2-2-2-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i−2i2i0000000000000000000000000000
χ38222-2-2222-2-2-22-2-22-2-2-2222222-2-2-2-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i2i−2i0000000000000000000000000000
χ39222-2-2222-2-2-22-2-22-2-2-222-2-2-2-22222-2-22222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ40222-2-2222-2-2-22-2-22-2-2-222-2-2-2-22222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002i−2i−2i2i0000000000000000000000000000
χ4122-2222-2-2-2-2-2-22-222222-200000000-2-22-20000000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-200000000000000002i−2i2i−2i000000000000000000000000
χ4222-2222-2-2-2-2-2-22-222222-200000000-2-22-20000000000002i2i−2i−2i2i2i−2i−2i-2-222-2-2220000000000000000−2i2i−2i2i000000000000000000000000
χ4322-2222-2-2-2-2-2-22-222222-200000000-2-22-2000000000000−2i−2i2i2i−2i−2i2i2i22-2-222-2-20000000000000000−2i2i−2i2i000000000000000000000000
χ4422-2222-2-2-2-2-2-22-222222-200000000-2-22-2000000000000−2i−2i2i2i−2i−2i2i2i-2-222-2-22200000000000000002i−2i2i−2i000000000000000000000000
χ4522-2-2-22-2-2222-2-222-222-2200000000-2-2-2200000000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000−2i2i2i−2i000000000000000000000000
χ4622-2-2-22-2-2222-2-222-222-2200000000-2-2-2200000000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000000000002i−2i−2i2i000000000000000000000000
χ4722-2-2-22-2-2222-2-222-222-2200000000-2-2-22000000000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i00000000000000002i−2i−2i2i000000000000000000000000
χ4822-2-2-22-2-2222-2-222-222-2200000000-2-2-22000000000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000−2i2i2i−2i000000000000000000000000
χ492-222-22-2-222-22-2-2-222-22-22i2i−2i−2i2i2i−2i−2i2-2-222i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000002-22-200000000000000000000
χ502-222-22-2-222-22-2-2-222-22-22i2i−2i−2i2i2i−2i−2i2-2-222i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000-22-2200000000000000000000
χ512-222-22-2-222-22-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i2-2-22−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000-22-2200000000000000000000
χ522-222-22-2-222-22-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i2-2-22−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002-22-200000000000000000000
χ532-222-22-2-222-22-2-2-22-22-222i2i−2i−2i2i2i−2i−2i-222-2−2i2i−2i2i000000000000000000000000000000002-22-20000000000002i−2i2i−2i0000000000000000
χ542-222-22-2-222-22-2-2-22-22-222i2i−2i−2i2i2i−2i−2i-222-2−2i2i−2i2i00000000000000000000000000000000-22-22000000000000−2i2i−2i2i0000000000000000
χ552-222-22-2-222-22-2-2-22-22-22−2i−2i2i2i−2i−2i2i2i-222-22i−2i2i−2i000000000000000000000000000000002-22-2000000000000−2i2i−2i2i0000000000000000
χ562-222-22-2-222-22-2-2-22-22-22−2i−2i2i2i−2i−2i2i2i-222-22i−2i2i−2i00000000000000000000000000000000-22-220000000000002i−2i2i−2i0000000000000000
χ572-22-222-2-2-2-22222-2-22-2-222i2i−2i−2i−2i−2i2i2i2-22-22i−2i−2i2i000000002-22-2-22-220000000000000000000000000000−2i2i2i−2i00000000000000000000
χ582-22-222-2-2-2-22222-2-22-2-222i2i−2i−2i−2i−2i2i2i2-22-22i−2i−2i2i00000000-22-222-22-200000000000000000000000000002i−2i−2i2i00000000000000000000
χ592-22-222-2-2-2-22222-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-22-2−2i2i2i−2i000000002-22-2-22-2200000000000000000000000000002i−2i−2i2i00000000000000000000
χ602-22-222-2-2-2-22222-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-22-2−2i2i2i−2i00000000-22-222-22-20000000000000000000000000000−2i2i2i−2i00000000000000000000
χ612-22-222-2-2-2-22222-2-2-222-22i2i−2i−2i−2i−2i2i2i-22-22−2i2i2i−2i000000000000000000000000000000002-2-220000000000002i−2i−2i2i0000000000000000
χ622-22-222-2-2-2-22222-2-2-222-22i2i−2i−2i−2i−2i2i2i-22-22−2i2i2i−2i00000000000000000000000000000000-222-2000000000000−2i2i2i−2i0000000000000000
χ632-22-222-2-2-2-22222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-22-222i−2i−2i2i000000000000000000000000000000002-2-22000000000000−2i2i2i−2i0000000000000000
χ642-22-222-2-2-2-22222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-22-222i−2i−2i2i00000000000000000000000000000000-222-20000000000002i−2i−2i2i0000000000000000
χ652-2-222-22-22-222-2-22-200002-22-22-22-2000000002i−2i2i−2i2i−2i2i−2i00000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000002−22−22−22−20000
χ662-2-222-22-22-222-2-22-200002-22-22-22-2000000002i−2i2i−2i2i−2i2i−2i00000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−22−22−22−220000
χ672-2-222-22-22-222-2-22-200002-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i00000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−22−22−22−220000
χ682-2-222-22-22-222-2-22-200002-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i00000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000002−22−22−22−20000
χ692-2-222-22-22-222-2-22-20000-22-22-22-22000000002i−2i2i−2i−2i2i−2i2i00000000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000002−22−2−22−220000
χ702-2-222-22-22-222-2-22-20000-22-22-22-22000000002i−2i2i−2i−2i2i−2i2i00000000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−22−222−22−20000
χ712-2-222-22-22-222-2-22-20000-22-22-22-2200000000−2i2i−2i2i2i−2i2i−2i00000000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−22−222−22−20000
χ722-2-222-22-22-222-2-22-20000-22-22-22-2200000000−2i2i−2i2i2i−2i2i−2i00000000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000002−22−2−22−220000
χ732-2-22-2222-2-22-2-22-222-22200000000-22-2-20000000000002-2-222-2-22000000002i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i000000000000
χ742-2-22-2222-2-22-2-22-222-22200000000-22-2-20000000000002-2-222-2-2200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i000000000000
χ752-2-22-2222-2-22-2-22-222-22200000000-22-2-2000000000000-222-2-222-2000000002i−2i2i−2i2i−2i2i−2i00000000000000000000−2i2i−2i2i000000000000
χ762-2-22-2222-2-22-2-22-222-22200000000-22-2-2000000000000-222-2-222-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000002i−2i2i−2i000000000000
χ772-2-2-2222222-2-22-2-2-22-2-2-200000000-22220000000000002i−2i−2i2i−2i2i2i−2i000000002-22-2-22-2200000000000000000000−2i2i2i−2i000000000000
χ782-2-2-2222222-2-22-2-2-22-2-2-200000000-22220000000000002i−2i−2i2i−2i2i2i−2i00000000-22-222-22-2000000000000000000002i−2i−2i2i000000000000
χ792-2-2-2222222-2-22-2-2-22-2-2-200000000-2222000000000000−2i2i2i−2i2i−2i−2i2i000000002-22-2-22-22000000000000000000002i−2i−2i2i000000000000
χ802-2-2-2222222-2-22-2-2-22-2-2-200000000-2222000000000000−2i2i2i−2i2i−2i−2i2i00000000-22-222-22-200000000000000000000−2i2i2i−2i000000000000
χ812-2-2-2-2-22-2-22-22222200002-22-2-22-22000000002-2-222-2-22000000002−22−2−22−2222−2−2−2−2220000000000000000000000002−2−222−2−220000
χ822-2-2-2-2-22-2-22-22222200002-22-2-22-22000000002-2-222-2-2200000000−22−222−22−2−2−22222−2−2000000000000000000000000−222−2−222−20000
χ832-2-2-2-2-22-2-22-22222200002-22-2-22-2200000000-222-2-222-2000000002−22−2−22−2222−2−2−2−222000000000000000000000000−222−2−222−20000
χ842-2-2-2-2-22-2-22-22222200002-22-2-22-2200000000-222-2-222-200000000−22−222−22−2−2−22222−2−20000000000000000000000002−2−222−2−220000
χ852-2-2-2-2-22-2-22-2222220000-22-222-22-2000000002-2-22-222-2000000002−22−2−22−22−2−22222−2−20000000000000000000000002−2−22−222−20000
χ862-2-2-2-2-22-2-22-2222220000-22-222-22-2000000002-2-22-222-200000000−22−222−22−222−2−2−2−222000000000000000000000000−222−22−2−220000
χ872-2-2-2-2-22-2-22-2222220000-22-222-22-200000000-222-22-2-22000000002−22−2−22−22−2−22222−2−2000000000000000000000000−222−22−2−220000
χ882-2-2-2-2-22-2-22-2222220000-22-222-22-200000000-222-22-2-2200000000−22−222−22−222−2−2−2−2220000000000000000000000002−2−22−222−20000
χ894444-4-44-4-444-44-4-4-40000000000000000000000000000000000000000000022−22−222222−22−2222000000000000000000000000000000000000
χ904444-4-44-4-444-44-4-4-400000000000000000000000000000000000000000000−222222−22−222222−22000000000000000000000000000000000000
χ91444-44-44-44-4-4-4-44-44000000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000
χ92444-44-44-44-4-4-4-44-4400000000000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000
χ9344-4444-4-4-4-4-4-44-444-4-4-440000000044-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-44-4-4-444-4-4444-4-400004i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-44-4-4-444-4-4444-4-40000−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-44-4-44-4444-4-4-4400004i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ9744-4-44-4-44-4444-4-4-440000−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ9844-4-4-44-4-4444-4-444-4-4-44-400000000444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4444-4-44-44-4-4-444-40000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000000000
χ1004-4444-4-44-44-4-4-444-4000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000000000
χ1014-44-4-4-4-444-44-44-44400000000000000000000000000000000000022−22−2222−222222−2200000000000000000000000000000000000000000000
χ1024-44-4-4-4-444-44-44-444000000000000000000000000000000000000−222222−2222−22−222200000000000000000000000000000000000000000000
χ1034-4-44-4444-4-44-4-44-44-44-4-4000000004-444000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4444444-4-44-4-4-4-4444000000004-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000

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