Finite Group Databasebeta

← Group #10765166

Character table — Group #10765166

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111111111112222222222222222222222222222222244444444444444444444444444448888888888888888888888881212121212121212121212121212121212121212121212121212121212121212
order122244448888888822344444466688888888121212122424242424242424446688121212121212121212122424242424242424242424242444668888121212121212242424242424242444444444888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111-1-11-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-11-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-11-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111-1-11-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1411111111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-1iiii−i−i−i−i111-1-111-1-1111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−i1-111i−i11-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-11-111i−ii−i-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i
χ181111-1-1-1-1iiii−i−i−i−i111-1-111-1-1111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−i1-111i−i11-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-11-111i−ii−i-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-1-111−i−iii-1-111−i−iii
χ191111-1-1-1-1iiii−i−i−i−i111-1-111-1-1111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−i1-111i−i11-1-111-1-1-1-1ii−i−iiiii−i−i−i−i-11-11-1-1−ii−ii11-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-1-111−i−iii-1-111−i−iii
χ201111-1-1-1-1iiii−i−i−i−i111-1-111-1-1111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−i1-111i−i11-1-111-1-1-1-1ii−i−iiiii−i−i−i−i-11-11-1-1−ii−ii11-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii11-1-1ii−i−i11-1-1ii−i−i
χ211111-1-1-1-1iiii−i−i−i−i-1-111111-1-1111−i−iiiii−i−i-1-1-1-1iiii−i−i−i−i-11-1-1−ii11-1-1-1-11111ii−i−i−i−i−i−iiiii1-1-1111i−i−ii-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i-1-111−i−iii
χ221111-1-1-1-1iiii−i−i−i−i-1-111111-1-1111−i−iiiii−i−i-1-1-1-1iiii−i−i−i−i-11-1-1−ii11-1-1-1-11111ii−i−i−i−i−i−iiiii1-1-1111i−i−ii-1-1-1-111ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i-1-111−i−iii11-1-1ii−i−i
χ231111-1-1-1-1iiii−i−i−i−i-1-111111-1-1111−i−iiiii−i−i-1-1-1-1iiii−i−i−i−i-11-1-1−ii11-1-1-1-11111ii−i−i−i−i−i−iiiii-111-1-1-1−iii−i1111-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-111−i−iii11-1-1ii−i−i
χ241111-1-1-1-1iiii−i−i−i−i-1-111111-1-1111−i−iiiii−i−i-1-1-1-1iiii−i−i−i−i-11-1-1−ii11-1-1-1-11111ii−i−i−i−i−i−iiiii-111-1-1-1−iii−i1111-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i11-1-1ii−i−i-1-111−i−iii
χ251111-1-1-1-1−i−i−i−iiiii111-1-111-1-1111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii1-111−ii11-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-11-111−ii−ii-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii11-1-1−i−iii
χ261111-1-1-1-1−i−i−i−iiiii111-1-111-1-1111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii1-111−ii11-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-11-111−ii−ii-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-1-111ii−i−i-1-111ii−i−i
χ271111-1-1-1-1−i−i−i−iiiii111-1-111-1-1111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii1-111−ii11-1-111-1-1-1-1−i−iii−i−i−i−iiiii-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111ii−i−i-1-111ii−i−i
χ281111-1-1-1-1−i−i−i−iiiii111-1-111-1-1111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii1-111−ii11-1-111-1-1-1-1−i−iii−i−i−i−iiiii-11-11-1-1i−ii−i11-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i11-1-1−i−iii11-1-1−i−iii
χ291111-1-1-1-1−i−i−i−iiiii-1-111111-1-1111ii−i−i−i−iii-1-1-1-1−i−i−i−iiiii-11-1-1i−i11-1-1-1-11111−i−iiiiiii−i−i−i−i1-1-1111−iii−i-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1−i−iii-1-111ii−i−i
χ301111-1-1-1-1−i−i−i−iiiii-1-111111-1-1111ii−i−i−i−iii-1-1-1-1−i−i−i−iiiii-11-1-1i−i11-1-1-1-11111−i−iiiiiii−i−i−i−i1-1-1111−iii−i-1-1-1-111−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i11-1-1−i−iii
χ311111-1-1-1-1−i−i−i−iiiii-1-111111-1-1111ii−i−i−i−iii-1-1-1-1−i−i−i−iiiii-11-1-1i−i11-1-1-1-11111−i−iiiiiii−i−i−i−i-111-1-1-1i−i−ii1111-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-111ii−i−i11-1-1−i−iii
χ321111-1-1-1-1−i−i−i−iiiii-1-111111-1-1111ii−i−i−i−iii-1-1-1-1−i−i−i−iiiii-11-1-1i−i11-1-1-1-11111−i−iiiiiii−i−i−i−i-111-1-1-1i−i−ii1111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii11-1-1−i−iii-1-111ii−i−i
χ33222222222222222222222-2-2-2-22222222-2-2-2-2222222222222-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ35222222222222222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-21111111111111100000000000000000000000000000000
χ36222222222222222222-122-2-2-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2111111-1-1111111-1-111-1-1110000−i3i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ37222222222222222222-122-2-2-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2111111-1-1111111-1-111-1-1110000i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ382222222222222222-2-22-2-2-2-2-2-2222-2-2-2-2-2-2-2-222222222222222-2-222-2-2-2-222-2-222-2-2-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ392222222222222222-2-2-1-2-22222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-1-1-1-1111111-1-1-1-11111111122-2-2-1-122-2-2-1-11111-1-1-1-1111100000000000000000000000000000000
χ402222222222222222-2-2-1-2-22222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-1-1-1-1111111-1-1-1-111111111-2-22211-2-22211-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ412222222222222222-2-2-1-2-2-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12211221111-1-111-1-1111111-1-111-1-10000−i3i30000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ422222222222222222-2-2-1-2-2-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12211221111-1-111-1-1111111-1-111-1-10000i3−i30000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-22222-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111122-1-1-2-2-1-1-1-1-1-1-1-1-1-11111111111112222-1-1-2-2-2-2-1-1-1-1-1-11111111100000000000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111122-1-1-2-2-1-1-1-1-1-1-1-1-1-1111111111111-2-2-2-2112222111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-222-122-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-111111111-2-2-1-122111111-1-111-1-1-1-111-1-111-1-10000−i3i30000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-222-122-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-111111111-2-2-1-122111111-1-111-1-1-1-111-1-111-1-10000i3−i30000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-222222222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ4922222222-2-2-2-2-2-2-2-2-2-2-1-2-22222-1-1-12222-2-2-2-2-1-1-1-111111111-2-21122-1-1-1-11111111111-1-1-1-1-1-1-1-122-2-2-1-1-2-222-1-111111111-1-1-1-100000000000000000000000000000000
χ5022222222-2-2-2-2-2-2-2-2-2-2-1-2-22222-1-1-12222-2-2-2-2-1-1-1-111111111-2-21122-1-1-1-11111111111-1-1-1-1-1-1-1-1-2-2221122-2-211-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ5122222222-2-2-2-2-2-2-2-2-2-2-1-2-2-2-2-2-2-1-1-122222222-1-1-1-1111111112211-2-21111-1-111-1-1-1-1-1-1-1-111-1-1110000−i3i30000−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ5222222222-2-2-2-2-2-2-2-2-2-2-1-2-2-2-2-2-2-1-1-122222222-1-1-1-1111111112211-2-21111-1-111-1-1-1-1-1-1-1-111-1-1110000i3−i30000i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ532222-2-2-2-22i2i2i2i−2i−2i−2i−2i222-2-2-2-2222222i2i−2i−2i−2i−2i2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i-2222−2i2i-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ542222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-1-2-222-2-2-1-1-12i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii2-2-1-12i−2i-1-111-1-11111−i−iii−i−i−i−iiiii2-22-2-1-12i−2i2i−2i11-1-111−i−iii−i−iii00000000000000000000000000000000
χ552222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-1-2-222-2-2-1-1-12i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii2-2-1-12i−2i-1-111-1-11111−i−iii−i−i−i−iiiii-22-2211−2i2i−2i2i-1-111-1-1ii−i−iii−i−i00000000000000000000000000000000
χ562222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-1-2-2-2-222-1-1-12i2i−2i−2i−2i−2i2i2i1111−i−i−i−iiiii-22-1-1−2i2i11-1-11111-1-1ii−i−i−i−iiiii−i−i0000−i3i30000i3−i3−i3i3i3−i33−3−333−3−3300000000000000000000000000000000
χ572222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-1-2-2-2-222-1-1-12i2i−2i−2i−2i−2i2i2i1111−i−i−i−iiiii-22-1-1−2i2i11-1-11111-1-1ii−i−i−i−iiiii−i−i0000i3−i30000−i3i3i3−i3−i3i3−333−3−333−300000000000000000000000000000000
χ582222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2222-2-222222−2i−2i2i2i−2i−2i2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2-2-2-22i−2i-2-2222222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ592222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2-12222-2-2-1-1-1−2i−2i2i2i2i2i−2i−2i1111−i−i−i−iiiii-2211−2i2i-1-11111-1-1-1-1−i−iiiiiii−i−i−i−i2-2-22-1-12i−2i−2i2i1111-1-1−i−iiiii−i−i00000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.