Finite Group Databasebeta

← Group #10720079

Character table — Group #10720079

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order1222222222222222344444444666666666666666444444444444444412121212121212121212121212121212121212121212121244444444444412121212121212121212121212121212444444444444444444442244
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
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ17111-1-111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1ii−i−i11-1-11-11-1
χ18111-1-111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiii−ii−i11-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111−i−iii-1-111-11-11
χ19111-1-111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−ii−ii11-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111ii−i−i-1-111-11-11
χ20111-1-111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−i−iii11-1-11-11-1
χ21111-1-111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-111ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii-1-111-1-111−i−iii−i−iii−i−iii−i−iii11-1-1ii−i−i11-1-1-11-11
χ22111-1-111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-111ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111−i−iii-1-1111-11-1
χ23111-1-111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-111−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−ii−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111ii−i−i-1-1111-11-1
χ24111-1-111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-111-1-111−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiii−ii−i-1-111-1-111ii−i−iii−i−iii−i−iii−i−i11-1-1−i−iii11-1-1-11-11
χ25111-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1−i−iii-1-111-111-1
χ26111-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−i−ii11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-1-111ii−i−i11-1-11-1-11
χ27111-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−iii−i11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-1-111−i−iii11-1-11-1-11
χ28111-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1ii−i−i-1-111-111-1
χ29111-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1−i−iii-1-1111-1-11
χ30111-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−iii−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-111ii−i−i11-1-1-111-1
χ31111-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−ii−i−ii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111−i−iii11-1-1-111-1
χ32111-1-111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiii−i−ii-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1ii−i−i-1-1111-1-11
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
χ342222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
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
χ382222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ392222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ402222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000022-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ412222-2-2-22-2-2-22-222-222i2i−2i−2i2i2i−2i−2i22-2-222-2-22-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000002i−2i2i−2i2-22-20000000000000000
χ422222-2-2-22-2-2-22-222-222i2i−2i−2i2i2i−2i−2i22-2-222-2-22-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000−2i2i−2i2i-22-220000000000000000
χ432222-2-2-22-2-2-22-222-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-22-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000002i−2i2i−2i-22-220000000000000000
χ442222-2-2-22-2-2-22-222-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-22-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000−2i2i−2i2i2-22-20000000000000000
χ45222-22-2-2-22-2-2-222-2222i2i−2i−2i−2i−2i2i2i22-2-2-2-2222-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ46222-22-2-2-22-2-2-222-2222i2i−2i−2i−2i−2i2i2i22-2-2-2-2222-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ47222-22-2-2-22-2-2-222-222−2i−2i2i2i2i2i−2i−2i22-2-2-2-2222-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ48222-22-2-2-22-2-2-222-222−2i−2i2i2i2i2i−2i−2i22-2-2-2-2222-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ49222-2-222-2-222-2-22-2-2-12222-2-2-2-2-1-1-1-11111-1-1-1111122-2-222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii000000002i−2i2i−2i-1-111-1-111−i−iii−i−iii000000000000000000000000
χ50222-2-222-2-222-2-22-2-2-12222-2-2-2-2-1-1-1-11111-1-1-1111122-2-222-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i00000000−2i2i−2i2i-1-111-1-111ii−i−iii−i−i000000000000000000000000
χ51222-2-222-2-222-2-22-2-2-12222-2-2-2-2-1-1-1-11111-1-1-11111-2-222-2-2222i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii00000000−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i000000000000000000000000
χ52222-2-222-2-222-2-22-2-2-12222-2-2-2-2-1-1-1-11111-1-1-11111-2-222-2-222−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i000000002i−2i2i−2i11-1-111-1-1−i−iii−i−iii000000000000000000000000
χ53222-2-222-2-222-2-22-2-2-1-2-2-2-22222-1-1-1-11111-1-1-1111122-2-2-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000002i−2i−2i2i-1-11111-1-1−i−iiiii−i−i000000000000000000000000
χ54222-2-222-2-222-2-22-2-2-1-2-2-2-22222-1-1-1-11111-1-1-1111122-2-2-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii000000000000000000000000
χ55222-2-222-2-222-2-22-2-2-1-2-2-2-22222-1-1-1-11111-1-1-11111-2-22222-2-22i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000−2i2i2i−2i11-1-1-1-111ii−i−i−i−iii000000000000000000000000
χ56222-2-222-2-222-2-22-2-2-1-2-2-2-22222-1-1-1-11111-1-1-11111-2-22222-2-2−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000002i−2i−2i2i11-1-1-1-111−i−iiiii−i−i000000000000000000000000
χ5722-2222-2-2-22-2-2-2-22222-22-22-22-22-22-22-22-2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000002-22-22-22-200000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ5822-2222-2-2-22-2-2-2-22222-22-22-22-22-22-22-22-2-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000002-22-22-22-20000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ5922-2222-2-2-22-2-2-2-2222-22-22-22-222-22-22-22-2-22-22-22-22i−2i2i−2i−2i2i−2i2i00000000-22-22-22-2200000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ6022-2222-2-2-22-2-2-2-2222-22-22-22-222-22-22-22-2-22-22-22-2−2i2i−2i2i2i−2i2i−2i00000000-22-22-22-220000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ6122-2222-2-2-22-2-2-2-222-12-22-22-22-2-11-11-11-111-11-11-112i−2i2i−2i2i−2i2i−2i00000000-11-11-11-11−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000−ii−ii−ii−ii3−33−33−33−3000000000000000000000000
χ6222-2222-2-2-22-2-2-2-222-12-22-22-22-2-11-11-11-111-11-11-112i−2i2i−2i2i−2i2i−2i00000000-11-11-11-11i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000−ii−ii−ii−ii−33−33−33−33000000000000000000000000
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χ1022-2-2-2-22-2-22-222-2222200000000-2-2-22-22-2-222-22-222000000002-2-220000000000002-22-2-22-2200000000-222-22-2-220000000000000000000000000000-222-2000000000000
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χ1042-2-2-2-22-2-22-222-2222200000000-2-2-22-22-2-222-22-22200000000-222-2000000000000-22-222-22-200000000-222-22-2-2200000000000000000000000000002-2-22000000000000
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χ1294-4-4-44-44-4-44-44444-4-20000000022-222-2-2-2-22-2-22220000000000000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000
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χ1324-4-4-4-44-4-44-444-4444-200000000222-22-222-2-22-22-2-200000000-444-40000000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000

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