Finite Group Databasebeta

← Group #10720087

Character table — Group #10720087

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order1222222222222222344444444666666666666666444444444444444412121212121212121212121212121212121212121212121244444444444412121212121212121212121212121212444444444444444444444444
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
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111
χ17111-1-1-1-11-1111-1-11-11iiii−i−i−i−i11111-1-1-1-1-11-1-11-1ii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−i1-1ii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−ii−i1-1
χ18111-1-1-1-11-1111-1-11-11iiii−i−i−i−i11111-1-1-1-1-11-1-11-1ii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111i−i1-1ii−i−i11-1-111-1-1ii−i−i−i−iii-1-111-1-111−i−iii−i−iii−ii-11
χ19111-1-1-1-11-1111-1-11-11iiii−i−i−i−i11111-1-1-1-1-11-1-11-1ii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−ii-11−i−iii-1-111-1-111−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii−ii-11
χ20111-1-1-1-11-1111-1-11-11iiii−i−i−i−i11111-1-1-1-1-11-1-11-1ii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−ii-11−i−iii-1-111-1-111−i−iii−i−iii-1-11111-1-1−i−iiiii−i−ii−i1-1
χ21111-1-1-1-11-1111-1-11-11iiii−i−i−i−i11111-1-1-1-1-11-1-11-1−i−iii-1-11111-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−ii-11−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−iii−i−i−ii-11
χ22111-1-1-1-11-1111-1-11-11iiii−i−i−i−i11111-1-1-1-1-11-1-11-1−i−iii-1-11111-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−ii-11−i−iii-1-11111-1-1ii−i−iii−i−i11-1-1-1-111−i−iii−i−iiii−i1-1
χ23111-1-1-1-11-1111-1-11-11iiii−i−i−i−i11111-1-1-1-1-11-1-11-1−i−iii-1-111-1-111−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1i−i1-1ii−i−i11-1-1-1-111−i−iii−i−iii-1-111-1-111ii−i−i−i−iiii−i1-1
χ24111-1-1-1-11-1111-1-11-11iiii−i−i−i−i11111-1-1-1-1-11-1-11-1−i−iii-1-111-1-111−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111i−i1-1ii−i−i11-1-1-1-111−i−iiiii−i−i11-1-111-1-1−i−iiiii−i−i−ii-11
χ25111-1-1-1-11-1111-1-11-11−i−i−i−iiiii11111-1-1-1-1-11-1-11-1ii−i−i-1-11111-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1i−i-11ii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iii−i−iiii−i-11
χ26111-1-1-1-11-1111-1-11-11−i−i−i−iiiii11111-1-1-1-1-11-1-11-1ii−i−i-1-11111-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111i−i-11ii−i−i-1-11111-1-1−i−iii−i−iii11-1-1-1-111ii−i−iii−i−i−ii1-1
χ27111-1-1-1-11-1111-1-11-11−i−i−i−iiiii11111-1-1-1-1-11-1-11-1ii−i−i-1-111-1-111ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−ii1-1−i−iii11-1-1-1-111ii−i−iii−i−i-1-111-1-111−i−iiiii−i−i−ii1-1
χ28111-1-1-1-11-1111-1-11-11−i−i−i−iiiii11111-1-1-1-1-11-1-11-1ii−i−i-1-111-1-111ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−ii1-1−i−iii11-1-1-1-111ii−i−i−i−iii11-1-111-1-1ii−i−i−i−iiii−i-11
χ29111-1-1-1-11-1111-1-11-11−i−i−i−iiiii11111-1-1-1-1-11-1-11-1−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii1-1−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−ii1-1
χ30111-1-1-1-11-1111-1-11-11−i−i−i−iiiii11111-1-1-1-1-11-1-11-1−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−ii1-1−i−iii11-1-111-1-1−i−iiiii−i−i-1-111-1-111ii−i−iii−i−ii−i-11
χ31111-1-1-1-11-1111-1-11-11−i−i−i−iiiii11111-1-1-1-1-11-1-11-1−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1i−i-11ii−i−i-1-111-1-111ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−ii−i-11
χ32111-1-1-1-11-1111-1-11-11−i−i−i−iiiii11111-1-1-1-1-11-1-11-1−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111i−i-11ii−i−i-1-111-1-111ii−i−iii−i−i-1-11111-1-1ii−i−i−i−iii−ii1-1
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
χ342222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222222211111111-1-1-1-1-1-1-1-11111111100000000-2-2-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000002222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ372222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000022-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ382222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1111111111111111100000000-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ392222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ402222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000022-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ41222-2-2-2-22-2222-2-22-2-12i2i2i2i−2i−2i−2i−2i-1-1-1-1-111111-111-112i2i−2i−2i22-2-222-2-22i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111000000002i−2i2-2−i−iii-1-111-1-111−i−iii000000000000000000000000
χ42222-2-2-2-22-2222-2-22-2-12i2i2i2i−2i−2i−2i−2i-1-1-1-1-111111-111-112i2i−2i−2i22-2-2-2-222−2i−2i2i2i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111100000000−2i2i-22ii−i−i11-1-111-1-1ii−i−i000000000000000000000000
χ43222-2-2-2-22-2222-2-22-2-12i2i2i2i−2i−2i−2i−2i-1-1-1-1-111111-111-11−2i−2i2i2i-2-22222-2-22i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-100000000−2i2i-22ii−i−i11-1-1-1-111−i−iii000000000000000000000000
χ44222-2-2-2-22-2222-2-22-2-12i2i2i2i−2i−2i−2i−2i-1-1-1-1-111111-111-11−2i−2i2i2i-2-222-2-222−2i−2i2i2iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1000000002i−2i2-2−i−iii-1-11111-1-1ii−i−i000000000000000000000000
χ45222-2-2-2-22-2222-2-22-2-1−2i−2i−2i−2i2i2i2i2i-1-1-1-1-111111-111-112i2i−2i−2i-2-22222-2-2−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1000000002i−2i-22−i−iii11-1-1-1-111ii−i−i000000000000000000000000
χ46222-2-2-2-22-2222-2-22-2-1−2i−2i−2i−2i2i2i2i2i-1-1-1-1-111111-111-112i2i−2i−2i-2-222-2-2222i2i−2i−2i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-100000000−2i2i2-2ii−i−i-1-11111-1-1−i−iii000000000000000000000000
χ47222-2-2-2-22-2222-2-22-2-1−2i−2i−2i−2i2i2i2i2i-1-1-1-1-111111-111-11−2i−2i2i2i22-2-222-2-2−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111100000000−2i2i2-2ii−i−i-1-111-1-111ii−i−i000000000000000000000000
χ48222-2-2-2-22-2222-2-22-2-1−2i−2i−2i−2i2i2i2i2i-1-1-1-1-111111-111-11−2i−2i2i2i22-2-2-2-2222i2i−2i−2iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111000000002i−2i-22−i−iii11-1-111-1-1−i−iii000000000000000000000000
χ4922-222-2-2-222-2-2-2-22220000000022-2-2-2222-2-22-2-2-2200002i−2i2i−2i0000000000000000000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-20000000000000000000000002i−2i2i−2i0000000000000000
χ5022-222-2-2-222-2-2-2-22220000000022-2-2-2222-2-22-2-2-2200002i−2i2i−2i0000000000000000000000002i2i−2i−2i2i2i−2i−2i-2-222-2-222000000000000000000000000−2i2i−2i2i0000000000000000
χ5122-222-2-2-222-2-2-2-22220000000022-2-2-2222-2-22-2-2-220000−2i2i−2i2i000000000000000000000000−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000000000000000000000−2i2i−2i2i0000000000000000
χ5222-222-2-2-222-2-2-2-22220000000022-2-2-2222-2-22-2-2-220000−2i2i−2i2i000000000000000000000000−2i−2i2i2i−2i−2i2i2i-2-222-2-2220000000000000000000000002i−2i2i−2i0000000000000000
χ5322-22-22-222-22-22-2-2-2222-2-222-2-22-22-2-22-2-22-2-22-22200000000000000000000000022-2-222-2-2000000000000000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000
χ5422-22-22-222-22-22-2-2-2222-2-222-2-22-22-2-22-2-22-2-22-22200000000000000000000000022-2-222-2-200000000000000000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000
χ5522-22-22-222-22-22-2-2-22-2-222-2-2222-22-2-22-2-22-2-22-222000000000000000000000000-2-222-2-222000000000000000000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000
χ5622-22-22-222-22-22-2-2-22-2-222-2-2222-22-2-22-2-22-2-22-222000000000000000000000000-2-222-2-22200000000000000000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000
χ5722-2-22-222-2-22-2-22-2222i2i−2i−2i−2i−2i2i2i2-22-2-2-222-22-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000002i−2i−2i2i0000-222-20000
χ5822-2-22-222-2-22-2-22-2222i2i−2i−2i−2i−2i2i2i2-22-2-2-222-22-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000−2i2i2i−2i00002-2-220000
χ5922-2-22-222-2-22-2-22-222−2i−2i2i2i2i2i−2i−2i2-22-2-2-222-22-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000002i−2i−2i2i00002-2-220000
χ6022-2-22-222-2-22-2-22-222−2i−2i2i2i2i2i−2i−2i2-22-2-2-222-22-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000−2i2i2i−2i0000-222-20000
χ6122-2-2-222-2-22-2-2222-220000000022-2-2-2-2-2-222222-2-200002i−2i−2i2i0000000000000000000000002i2i−2i−2i−2i−2i2i2i22-2-2-2-2220000000000000000000000002i−2i−2i2i0000000000000000
χ6222-2-2-222-2-22-2-2222-220000000022-2-2-2-2-2-222222-2-200002i−2i−2i2i0000000000000000000000002i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000−2i2i2i−2i0000000000000000
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Here i is the imaginary unit (i² = −1).