Finite Group Databasebeta

← Group #10724466

Character table — Group #10724466

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111111111111222222222222222244444444444488888888888888888888888888888888888812121212121212121212121212121212121212121212121224242424
order1222222222222222366666666666666644444444444444444444121212121212121212121212121212121212121212121212121212122222444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ5111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ17111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1ii−i−i11-1-111-1-1i−ii−i1-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-111-1-1i−i1-1
χ18111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1ii−i−i11-1-111-1-1i−ii−i1-1i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii−i−iii−i−iii-1-111-1-111−ii-11
χ19111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1ii−i−i11-1-1-1-111i−i−ii-11−iiii−i−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i−i−iii−i−iii11-1-1-1-111i−i-11
χ20111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1ii−i−i11-1-1-1-111i−i−ii-11−iiii−i−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iiiii−i−iii−i−i-1-11111-1-1−ii1-1
χ21111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1ii−i−i-1-11111-1-1−iii−i-11−iiii−i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii11-1-1−i−iiiii−i−i−i−iii-1-11111-1-1i−i-11
χ22111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1ii−i−i-1-11111-1-1−iii−i-11−iiii−i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii-1-111ii−i−i−i−iiiii−i−i11-1-1-1-111−ii1-1
χ23111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1ii−i−i-1-111-1-111−ii−ii1-1i−iii−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i11-1-1−i−iii−i−iiiii−i−i-1-111-1-111i−i1-1
χ24111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1ii−i−i-1-111-1-111−ii−ii1-1i−iii−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-1-111ii−i−iii−i−i−i−iii11-1-111-1-1−ii-11
χ25111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1−i−iii11-1-111-1-1−ii−ii1-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii−i−iii−i−iii11-1-111-1-1−ii1-1
χ26111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1−i−iii11-1-111-1-1−ii−ii1-1−ii−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii-1-111ii−i−iii−i−iii−i−i-1-111-1-111i−i-11
χ27111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1−i−iii11-1-1-1-111−iii−i-11i−i−i−iii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iiiii−i−iii−i−i11-1-1-1-111−ii-11
χ28111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1−i−iii11-1-1-1-111−iii−i-11i−i−i−iii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i−i−iii−i−iii-1-11111-1-1i−i1-1
χ29111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1−i−iii-1-11111-1-1i−i−ii-11i−i−i−iii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i11-1-1ii−i−i−i−iiiii−i−i-1-11111-1-1−ii-11
χ30111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1−i−iii-1-11111-1-1i−i−ii-11i−i−i−iii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i-1-111−i−iiiii−i−i−i−iii11-1-1-1-111i−i1-1
χ31111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1−i−iii-1-111-1-111i−ii−i1-1−ii−i−iii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii11-1-1ii−i−iii−i−i−i−iii-1-111-1-111−ii1-1
χ32111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1−i−iii-1-111-1-111i−ii−i1-1−ii−i−iii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-1-111−i−iii−i−iiiii−i−i11-1-111-1-1i−i-11
χ332222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ342222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000
χ352222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000
χ362222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000
χ372222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000000000000000
χ382222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-222-2-2221111-1-1-1-111111111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ392222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222-2-2-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000000000000000
χ402222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2222222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000000000000000
χ41222222-2-2-2-22-2-2-2-22-1-1-1-1-11111-1-1-111112i2i−2i−2i22-2-222-2-22i−2i2i−2i2-22i−2i−i−iii-1-111−i−iii-1-111−i−iii-1-111−i−iii0000000000000000000000000000
χ42222222-2-2-2-22-2-2-2-22-1-1-1-1-11111-1-1-111112i2i−2i−2i22-2-2-2-2222i−2i−2i2i-22−2i2i−i−iii-1-111−i−iii11-1-1ii−i−i11-1-1ii−i−i0000000000000000000000000000
χ43222222-2-2-2-22-2-2-2-22-1-1-1-1-11111-1-1-111112i2i−2i−2i-2-22222-2-2−2i2i2i−2i-22−2i2i−i−iii11-1-1ii−i−i-1-111−i−iii11-1-1ii−i−i0000000000000000000000000000
χ44222222-2-2-2-22-2-2-2-22-1-1-1-1-11111-1-1-111112i2i−2i−2i-2-222-2-222−2i2i−2i2i2-22i−2i−i−iii11-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii0000000000000000000000000000
χ45222222-2-2-2-22-2-2-2-22-1-1-1-1-11111-1-1-11111−2i−2i2i2i22-2-222-2-2−2i2i−2i2i2-2−2i2iii−i−i-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i0000000000000000000000000000
χ46222222-2-2-2-22-2-2-2-22-1-1-1-1-11111-1-1-11111−2i−2i2i2i22-2-2-2-222−2i2i2i−2i-222i−2iii−i−i-1-111ii−i−i11-1-1−i−iii11-1-1−i−iii0000000000000000000000000000
χ47222222-2-2-2-22-2-2-2-22-1-1-1-1-11111-1-1-11111−2i−2i2i2i-2-22222-2-22i−2i−2i2i-222i−2iii−i−i11-1-1−i−iii-1-111ii−i−i11-1-1−i−iii0000000000000000000000000000
χ48222222-2-2-2-22-2-2-2-22-1-1-1-1-11111-1-1-11111−2i−2i2i2i-2-222-2-2222i−2i2i−2i2-2−2i2iii−i−i11-1-1−i−iii11-1-1−i−iii-1-111ii−i−i0000000000000000000000000000
χ4922-2-222222-2-22-2-2-2-222-2-2-22-2-2-222-2222-22-22-200000000000000002-22-2000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i0000
χ5022-2-222222-2-22-2-2-2-222-2-2-22-2-2-222-2222-22-22-200000000000000002-22-200000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i0000
χ5122-2-222222-2-22-2-2-2-222-2-2-22-2-2-222-2222-2-22-220000000000000000-22-22000000000000000000000000000000002i−2i2i−2i00000000−2i2i−2i2i0000
χ5222-2-222222-2-22-2-2-2-222-2-2-22-2-2-222-2222-2-22-220000000000000000-22-2200000000000000000000000000000000−2i2i−2i2i000000002i−2i2i−2i0000
χ5322-2-222-2-2-22-2-2222-222-2-2-2-222222-2-2-2-222i−2i−2i2i00000000000000002i−2i−2i2i000000000000000000000000000000002-2-2200000000−2i2i2i−2i0000
χ5422-2-222-2-2-22-2-2222-222-2-2-2-222222-2-2-2-222i−2i−2i2i00000000000000002i−2i−2i2i00000000000000000000000000000000-222-2000000002i−2i−2i2i0000
χ5522-2-222-2-2-22-2-2222-222-2-2-2-222222-2-2-2-22−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000000000000000000000002-2-22000000002i−2i−2i2i0000
χ5622-2-222-2-2-22-2-2222-222-2-2-2-222222-2-2-2-22−2i2i2i−2i0000000000000000−2i2i2i−2i00000000000000000000000000000000-222-200000000−2i2i2i−2i0000
χ572-22-22-222-2-22-222-2-22-222-2-222-22-2-222-2-2000000002i−2i2i−2i000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i00002-22-2000000000000
χ582-22-22-222-2-22-222-2-22-222-2-222-22-2-222-2-2000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000000000000000−2i2i−2i2i0000-22-22000000000000
χ592-22-22-222-2-22-222-2-22-222-2-222-22-2-222-2-200000000−2i2i−2i2i00000000000000000000−2i2i−2i2i00000000000000002i−2i2i−2i0000-22-22000000000000
χ602-22-22-222-2-22-222-2-22-222-2-222-22-2-222-2-200000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i00002-22-2000000000000
χ612-22-22-2-2-22222-2-22-22-222-22-2-222-2-2-2-222000000002i−2i−2i2i000000000000000000002i−2i−2i2i00000000000000002-2-220000−2i2i2i−2i000000000000
χ622-22-22-2-2-22222-2-22-22-222-22-2-222-2-2-2-222000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000000000000000-222-200002i−2i−2i2i000000000000
χ632-22-22-2-2-22222-2-22-22-222-22-2-222-2-2-2-22200000000−2i2i2i−2i00000000000000000000−2i2i2i−2i00000000000000002-2-2200002i−2i−2i2i000000000000
χ642-22-22-2-2-22222-2-22-22-222-22-2-222-2-2-2-22200000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000000000000000-222-20000−2i2i2i−2i000000000000
χ652-2-22-222-22-22-22-22-22-22-22-22-22-22-22-22-200002i−2i2i−2i00000000000000002i−2i2i−2i000000000000000000002-22-20000000000002i−2i2i−2i00000000
χ662-2-22-222-22-22-22-22-22-22-22-22-22-22-22-22-200002i−2i2i−2i00000000000000002i−2i2i−2i00000000000000000000-22-22000000000000−2i2i−2i2i00000000
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χ692-2-22-22-22-2222-22-2-22-22-222-22-2-22-2-22-2200002i−2i−2i2i00000000000000002i−2i−2i2i000000000000000000002-2-220000000000002i−2i−2i2i00000000
χ702-2-22-22-22-2222-22-2-22-22-222-22-2-22-2-22-2200002i−2i−2i2i00000000000000002i−2i−2i2i00000000000000000000-222-2000000000000−2i2i2i−2i00000000
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χ722-2-22-22-22-2222-22-2-22-22-222-22-2-22-2-22-220000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000000000000000-222-20000000000002i−2i−2i2i00000000
χ734444-4-44-4-4-4-44-444-444-4444-444-4-4-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
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χ8844-4-4-4-4-444-44-4-4444-2-2-22222-2-222-22-2-220000000000000000000000000000000000000000−232323−2300000000000000000000000000000000
χ894-44-44-444-4-44-444-4-4-22-2-222-2-22-222-2-222000000004i−4i4i−4i00000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ904-44-44-444-4-44-444-4-4-22-2-222-2-22-222-2-22200000000−4i4i−4i4i000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ914-44-44-4-4-44444-4-44-4-22-2-22-222-2-22222-2-2000000004i−4i−4i4i00000000000000000000−2i2i2i−2i0000000000000000000000000000000000000000
χ924-44-44-4-4-44444-4-44-4-22-2-22-222-2-22222-2-200000000−4i4i4i−4i000000000000000000002i−2i−2i2i0000000000000000000000000000000000000000
χ934-44-4-444-444-4-4-44-444-4-44-4-4-44-4-4444-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-444-444-4-4-44-44-222-2222-222-2-2-22-2-20000000000000000000000000000−2i32i3−2i32i300000000000000000000000000000000000000000000
χ954-44-4-444-444-4-4-44-44-222-2222-222-2-2-22-2-200000000000000000000000000002i3−2i32i3−2i300000000000000000000000000000000000000000000
χ964-44-4-44-44-4-4-444-4444-4-44-444-44-444-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-44-44-4-4-444-444-222-22-2-22-22-2-22-222000000000000000000000000000023−23−232300000000000000000000000000000000000000000000
χ984-44-4-44-44-4-4-444-444-222-22-2-22-22-2-22-2220000000000000000000000000000−232323−2300000000000000000000000000000000000000000000
χ994-4-444-444-44-4-4-4-4444-4-4-44-4-4-444-4444-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-444-44-4-4-4-444-2222-2222-2-22-2-2-22-2000000000000000000000000000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ1014-4-444-444-44-4-4-4-444-2222-2222-2-22-2-2-22-20000000000000000000000000000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ1024-4-444-4-4-44-4-4444-444-4-4-44444-44-44-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-4-4-44-4-4444-44-2222-2-2-2-22-22-222-2200000000000000000000000000000000000023−23−2323000000000000000000000000000000000000
χ1044-4-444-4-4-44-4-4444-44-2222-2-2-2-22-22-222-22000000000000000000000000000000000000−232323−23000000000000000000000000000000000000
χ1054-4-44-444-44-44-44-44-4-22-22-22-22-22-22-22-2200004i−4i4i−4i0000000000000000−2i2i−2i2i000000000000000000000000000000000000000000000000
χ1064-4-44-444-44-44-44-44-4-22-22-22-22-22-22-22-220000−4i4i−4i4i00000000000000002i−2i2i−2i000000000000000000000000000000000000000000000000
χ1074-4-44-44-44-4444-44-4-4-22-22-2-22-222-222-22-200004i−4i−4i4i0000000000000000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ1084-4-44-44-44-4444-44-4-4-22-22-2-22-222-222-22-20000−4i4i4i−4i00000000000000002i−2i−2i2i000000000000000000000000000000000000000000000000

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