Finite Group Databasebeta

← Group #10720092

Character table — Group #10720092

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
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111
χ17111-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−i
χ18111-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii
χ19111-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-11-11-1-111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−i−ii−ii
χ20111-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-11-11-1-111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iiii−ii−i
χ21111-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-11-1111-1-1-1-11111-1-1-1-111ii−i−iii−i−iii−i−i−i−iii−i−iii−ii−ii
χ22111-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-11-1111-1-1-1-11111-1-1-1-111−i−iii−i−iii−i−iiiii−i−iii−i−ii−ii−i
χ23111-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1-11-1-1-11111-1-1-1-11111-1-1−i−iii−i−iiiii−i−i−i−iii−i−iiii−ii−i
χ24111-1-111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1-11-1-1-11111-1-1-1-11111-1-1ii−i−iii−i−i−i−iiiii−i−iii−i−i−ii−ii
χ25111-1-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-111-111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiii−i−ii
χ26111-1-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-111-111-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−iii−i
χ27111-1-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1-1-11-1-11111-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iii−iii−i
χ28111-1-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1-1-11-1-11111-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−ii−i−ii
χ29111-1-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i1-1-1111-1-111-1-1-1-111-1-111ii−i−i−i−iii−i−iii−i−iiiii−i−i−iii−i
χ30111-1-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii1-1-1111-1-111-1-1-1-111-1-111−i−iiiii−i−iii−i−iii−i−i−i−iiii−i−ii
χ31111-1-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-111-1-1-111-1-11111-1-111-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ32111-1-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-111-1-1-111-1-11111-1-111-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iii−iii−i
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
χ342222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-11111111100000000-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000022221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ372222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ382222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-111111111111111110000000022-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ392222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-21111111111111111-1-1-1-1-1-1-1-10000000022-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ402222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-100000000-2-22211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ41222-2-222222-2-2-2-2-2-2-12222-2-2-2-2-1-111111111-1-1-1-1-122-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000002-22-2-1-111-1-111-1-111-1-111000000000000000000000000
χ42222-2-222222-2-2-2-2-2-2-12222-2-2-2-2-1-111111111-1-1-1-1-122-2-2-2-22222-2-2-2-222-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000-22-2211-1-111-1-111-1-111-1-1000000000000000000000000
χ43222-2-222222-2-2-2-2-2-2-12222-2-2-2-2-1-111111111-1-1-1-1-1-2-22222-2-2-2-22222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000-22-22-1-11111-1-1-1-11111-1-1000000000000000000000000
χ44222-2-222222-2-2-2-2-2-2-12222-2-2-2-2-1-111111111-1-1-1-1-1-2-222-2-222-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1000000002-22-211-1-1-1-11111-1-1-1-111000000000000000000000000
χ45222-2-222222-2-2-2-2-2-2-1-2-2-2-22222-1-111111111-1-1-1-1-122-2-222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000-222-2-1-11111-1-111-1-1-1-111000000000000000000000000
χ46222-2-222222-2-2-2-2-2-2-1-2-2-2-22222-1-111111111-1-1-1-1-122-2-2-2-222-2-22222-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-1000000002-2-2211-1-1-1-111-1-11111-1-1000000000000000000000000
χ47222-2-222222-2-2-2-2-2-2-1-2-2-2-22222-1-111111111-1-1-1-1-1-2-22222-2-222-2-2-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-11111000000002-2-22-1-111-1-11111-1-111-1-1000000000000000000000000
χ48222-2-222222-2-2-2-2-2-2-1-2-2-2-22222-1-111111111-1-1-1-1-1-2-222-2-22222-2-222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000-222-211-1-111-1-1-1-111-1-111000000000000000000000000
χ4922-2222-2-22-2-2-2-2-222222-2-222-2-22-22222-2-2-2-22-2-22-200002i−2i2i−2i00002i−2i2i−2i0000000022-2-222-2-2000000000000000000002i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000
χ5022-2222-2-22-2-2-2-2-222222-2-222-2-22-22222-2-2-2-22-2-22-20000−2i2i−2i2i0000−2i2i−2i2i0000000022-2-222-2-200000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000
χ5122-2222-2-22-2-2-2-2-2222-2-222-2-2222-22222-2-2-2-22-2-22-200002i−2i2i−2i0000−2i2i−2i2i00000000-2-222-2-222000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000000000000000
χ5222-2222-2-22-2-2-2-2-2222-2-222-2-2222-22222-2-2-2-22-2-22-20000−2i2i−2i2i00002i−2i2i−2i00000000-2-222-2-22200000000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000000000000000
χ5322-2222-2-22-2-2-2-2-222-122-2-222-2-2-11-1-1-1-11111-111-1100002i−2i2i−2i00002i−2i2i−2i33−3−333−3−3-1-111-1-11133−3−333−3−3000000000000−ii−ii−i3i3−i3i3−ii−ii−i3i3−i3i3000000000000000000000000
χ5422-2222-2-22-2-2-2-2-222-122-2-222-2-2-11-1-1-1-11111-111-1100002i−2i2i−2i00002i−2i2i−2i−3−333−3−333-1-111-1-111−3−333−3−333000000000000−ii−iii3−i3i3−i3−ii−iii3−i3i3−i3000000000000000000000000
χ5522-2222-2-22-2-2-2-2-222-122-2-222-2-2-11-1-1-1-11111-111-110000−2i2i−2i2i0000−2i2i−2i2i33−3−333−3−3-1-111-1-11133−3−333−3−3000000000000i−ii−ii3−i3i3−i3i−ii−ii3−i3i3−i3000000000000000000000000
χ5622-2222-2-22-2-2-2-2-222-122-2-222-2-2-11-1-1-1-11111-111-110000−2i2i−2i2i0000−2i2i−2i2i−3−333−3−333-1-111-1-111−3−333−3−333000000000000i−ii−i−i3i3−i3i3i−ii−i−i3i3−i3i3000000000000000000000000
χ5722-2222-2-22-2-2-2-2-222-1-2-222-2-222-11-1-1-1-11111-111-1100002i−2i2i−2i0000−2i2i−2i2i33−3−333−3−311-1-111-1-1−3−333−3−333000000000000−ii−iii3−i3i3−i3i−ii−i−i3i3−i3i3000000000000000000000000
χ5822-2222-2-22-2-2-2-2-222-1-2-222-2-222-11-1-1-1-11111-111-1100002i−2i2i−2i0000−2i2i−2i2i−3−333−3−33311-1-111-1-133−3−333−3−3000000000000−ii−ii−i3i3−i3i3i−ii−ii3−i3i3−i3000000000000000000000000
χ5922-2222-2-22-2-2-2-2-222-1-2-222-2-222-11-1-1-1-11111-111-110000−2i2i−2i2i00002i−2i2i−2i33−3−333−3−311-1-111-1-1−3−333−3−333000000000000i−ii−i−i3i3−i3i3−ii−iii3−i3i3−i3000000000000000000000000
χ6022-2222-2-22-2-2-2-2-222-1-2-222-2-222-11-1-1-1-11111-111-110000−2i2i−2i2i00002i−2i2i−2i−3−333−3−33311-1-111-1-133−3−333−3−3000000000000i−ii−ii3−i3i3−i3−ii−ii−i3i3−i3i3000000000000000000000000
χ6122-22-2-22-2-2222-2-22-22000000002-222-2-222-2-2-22-2-222i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i000000000000000022-2-222-2-2000000000000000000000000000000002i−2i2i−2i00000000
χ6222-22-2-22-2-2222-2-22-22000000002-222-2-222-2-2-22-2-222i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i0000000000000000-2-222-2-22200000000000000000000000000000000−2i2i−2i2i00000000
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χ1294-4-4-44444-4-44-44-44-4-24i−4i−4i4i−4i4i4i−4i222-22-2-22-22-2-2-222000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
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χ1324-4-4-4-4-4-4444-444-444-200000000222-2-222-2-2222-2-2-200000000-444-4000000000000000000002-22-2-22-220000000000000000000000000000000000000000000000000000

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