Finite Group Databasebeta

← Group #10732213

Character table — Group #10732213

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111111111112222222222222222444444444444666666668888888888888888888888888888888888881212121212121212121212122424242424242424
order1222222222222222366666666666666644444444444444444444444444441212121212121212121212121212121212121212121212121212121222224444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-1111100000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000022-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-2-222-2-222-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000022-2-2-2-2221111-1-1-1-1-1-1-1-1111111111111-1-1-1-100000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000002222-2-2-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-2-2-2-22222111111111111-1-1-1-11111-1-1-1-1-1-1-1-100000000000000000000
χ25222222-2-2-22-22-2-2-2-22222222-2-2-22-2-2-2-2-2000022-2-200000000000000000000000022-2-20000000000000000000022-2-222-2-2000000000000
χ26222222-2-2-22-22-2-2-2-22222222-2-2-22-2-2-2-2-2000022-2-200000000000000000000000022-2-200000000000000000000-2-222-2-222000000000000
χ27222222-2-2-22-22-2-2-2-22222222-2-2-22-2-2-2-2-20000-2-222000000000000000000000000-2-2220000000000000000000022-2-2-2-222000000000000
χ28222222-2-2-22-22-2-2-2-22222222-2-2-22-2-2-2-2-20000-2-222000000000000000000000000-2-22200000000000000000000-2-22222-2-2000000000000
χ292222-2-222-2-2-2-22-2-222222-2-2-222-2-22-2-2-2200002i−2i2i−2i00002222-2-2-2-20000000000002i−2i2i−2i00000000000000000000000000002i2i−2i−2i00000000
χ302222-2-222-2-2-2-22-2-222222-2-2-222-2-22-2-2-2200002i−2i2i−2i0000-2-2-2-222220000000000002i−2i2i−2i0000000000000000000000000000−2i−2i2i2i00000000
χ312222-2-222-2-2-2-22-2-222222-2-2-222-2-22-2-2-220000−2i2i−2i2i00002222-2-2-2-2000000000000−2i2i−2i2i0000000000000000000000000000−2i−2i2i2i00000000
χ322222-2-222-2-2-2-22-2-222222-2-2-222-2-22-2-2-220000−2i2i−2i2i0000-2-2-2-22222000000000000−2i2i−2i2i00000000000000000000000000002i2i−2i−2i00000000
χ332222-2-2-2-22-22-2-222-22222-2-2-2-2-22-2-2222-222-2-22i−2i−2i2i2i2i−2i−2i000000000000000022-2-22i−2i−2i2i0000000000002i2i−2i−2i000000000000000000000000
χ342222-2-2-2-22-22-2-222-22222-2-2-2-2-22-2-2222-222-2-2−2i2i2i−2i−2i−2i2i2i000000000000000022-2-2−2i2i2i−2i000000000000−2i−2i2i2i000000000000000000000000
χ352222-2-2-2-22-22-2-222-22222-2-2-2-2-22-2-2222-2-2-2222i−2i−2i2i−2i−2i2i2i0000000000000000-2-2222i−2i−2i2i000000000000−2i−2i2i2i000000000000000000000000
χ362222-2-2-2-22-22-2-222-22222-2-2-2-2-22-2-2222-2-2-222−2i2i2i−2i2i2i−2i−2i0000000000000000-2-222−2i2i2i−2i0000000000002i2i−2i−2i000000000000000000000000
χ372222-2-2-2-22-22-2-222-2-1-1-1-111111-111-1-1-1122-2-22i−2i−2i2i2i2i−2i−2i0000000000000000-1-111−iii−i−i3−i3i3i3−i3−i3i3i333−3−3−i−iii33−3−300000000000000000000
χ382222-2-2-2-22-22-2-222-2-1-1-1-111111-111-1-1-1122-2-22i−2i−2i2i2i2i−2i−2i0000000000000000-1-111−iii−ii3i3−i3−i3i3i3−i3−i3−3−333−i−iii−3−33300000000000000000000
χ392222-2-2-2-22-22-2-222-2-1-1-1-111111-111-1-1-1122-2-2−2i2i2i−2i−2i−2i2i2i0000000000000000-1-111i−i−ii−i3−i3i3i3−i3−i3i3i3−3−333ii−i−i−3−33300000000000000000000
χ402222-2-2-2-22-22-2-222-2-1-1-1-111111-111-1-1-1122-2-2−2i2i2i−2i−2i−2i2i2i0000000000000000-1-111i−i−iii3i3−i3−i3i3i3−i3−i333−3−3ii−i−i33−3−300000000000000000000
χ412222-2-2-2-22-22-2-222-2-1-1-1-111111-111-1-1-11-2-2222i−2i−2i2i−2i−2i2i2i000000000000000011-1-1−iii−i−i3−i3i3i3i3i3−i3−i3−3−333ii−i−i33−3−300000000000000000000
χ422222-2-2-2-22-22-2-222-2-1-1-1-111111-111-1-1-11-2-2222i−2i−2i2i−2i−2i2i2i000000000000000011-1-1−iii−ii3i3−i3−i3−i3−i3i3i333−3−3ii−i−i−3−33300000000000000000000
χ432222-2-2-2-22-22-2-222-2-1-1-1-111111-111-1-1-11-2-222−2i2i2i−2i2i2i−2i−2i000000000000000011-1-1i−i−ii−i3−i3i3i3i3i3−i3−i333−3−3−i−iii−3−33300000000000000000000
χ442222-2-2-2-22-22-2-222-2-1-1-1-111111-111-1-1-11-2-222−2i2i2i−2i2i2i−2i−2i000000000000000011-1-1i−i−iii3i3−i3−i3−i3−i3i3i3−3−333−i−iii33−3−300000000000000000000
χ4522-2-2222-22-2-2-2-22-2222-2-222-22-22-2-22-2-222i−2i2i−2i0000000022-2-222-2-2000000002i−2i2i−2i00000000000000000000000000002i−2i2i−2i000000000000
χ4622-2-2222-22-2-2-2-22-2222-2-222-22-22-2-22-2-222i−2i2i−2i00000000-2-222-2-222000000002i−2i2i−2i0000000000000000000000000000−2i2i−2i2i000000000000
χ4722-2-2222-22-2-2-2-22-2222-2-222-22-22-2-22-2-22−2i2i−2i2i0000000022-2-222-2-200000000−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i000000000000
χ4822-2-2222-22-2-2-2-22-2222-2-222-22-22-2-22-2-22−2i2i−2i2i00000000-2-222-2-22200000000−2i2i−2i2i00000000000000000000000000002i−2i2i−2i000000000000
χ4922-2-222-22-2-22-22-22-222-2-222-2-22-2-22-222-2000000002i−2i2i−2i0000000000000000000000000000000000002i−2i2i−2i000000002i−2i−2i2i2-22-200000000
χ5022-2-222-22-2-22-22-22-222-2-222-2-22-2-22-222-2000000002i−2i2i−2i0000000000000000000000000000000000002i−2i2i−2i00000000−2i2i2i−2i-22-2200000000
χ5122-2-222-22-2-22-22-22-222-2-222-2-22-2-22-222-200000000−2i2i−2i2i000000000000000000000000000000000000−2i2i−2i2i000000002i−2i−2i2i-22-2200000000
χ5222-2-222-22-2-22-22-22-222-2-222-2-22-2-22-222-200000000−2i2i−2i2i000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i2i−2i2-22-200000000
χ5322-2-2-2-22-2-2222-2-22222-2-2-2-222-2-22-2-2222000000002-2-2222-2-2-2-22200000000000000000000000000002-2-2200002-22-20000000000000000
χ5422-2-2-2-22-2-2222-2-22222-2-2-2-222-2-22-2-2222000000002-2-22-2-22222-2-200000000000000000000000000002-2-220000-22-220000000000000000
χ5522-2-2-2-22-2-2222-2-22222-2-2-2-222-2-22-2-222200000000-222-222-2-2-2-2220000000000000000000000000000-222-20000-22-220000000000000000
χ5622-2-2-2-22-2-2222-2-22222-2-2-2-222-2-22-2-222200000000-222-2-2-22222-2-20000000000000000000000000000-222-200002-22-20000000000000000
χ5722-2-2-2-2-2222-2222-2-222-2-2-2-22-222222-2-2-22i−2i−2i2i0000000000000000000000002i−2i−2i2i0000000000000000000000002-2-2200002i−2i−2i2i00000000
χ5822-2-2-2-2-2222-2222-2-222-2-2-2-22-222222-2-2-22i−2i−2i2i0000000000000000000000002i−2i−2i2i000000000000000000000000-222-20000−2i2i2i−2i00000000
χ5922-2-2-2-2-2222-2222-2-222-2-2-2-22-222222-2-2-2−2i2i2i−2i000000000000000000000000−2i2i2i−2i0000000000000000000000002-2-220000−2i2i2i−2i00000000
χ6022-2-2-2-2-2222-2222-2-222-2-2-2-22-222222-2-2-2−2i2i2i−2i000000000000000000000000−2i2i2i−2i000000000000000000000000-222-200002i−2i−2i2i00000000
χ612-22-22-2-222-222-2-2-222-22-22-22-222-2-2-22-220000000000002-22-22-22-22i−2i000000000000002i−2i2i−2i00000000000000000000000000002i−2i000000
χ622-22-22-2-222-222-2-2-222-22-22-22-222-2-2-22-220000000000002-22-22-22-2−2i2i00000000000000−2i2i−2i2i0000000000000000000000000000−2i2i000000
χ632-22-22-2-222-222-2-2-222-22-22-22-222-2-2-22-22000000000000-22-22-22-222i−2i000000000000002i−2i2i−2i0000000000000000000000000000−2i2i000000
χ642-22-22-2-222-222-2-2-222-22-22-22-222-2-2-22-22000000000000-22-22-22-22−2i2i00000000000000−2i2i−2i2i00000000000000000000000000002i−2i000000
χ652-22-2-22-22-22-2-2-22222-22-2-22-2-22-22-22-2220000000000002-22-2-22-220000002-20000000000000000000000002-22-20000000000000000002-2
χ662-22-2-22-22-22-2-2-22222-22-2-22-2-22-22-22-2220000000000002-22-2-22-22000000-22000000000000000000000000-22-22000000000000000000-22
χ672-22-2-22-22-22-2-2-22222-22-2-22-2-22-22-22-222000000000000-22-222-22-20000002-20000000000000000000000002-22-2000000000000000000-22
χ682-22-2-22-22-22-2-2-22222-22-2-22-2-22-22-22-222000000000000-22-222-22-2000000-22000000000000000000000000-22-220000000000000000002-2
χ692-2-222-2-2-222-2-22-2222-2-222-2-2-2-2222-2-2220000000000002-2-222-2-2200002-2000000000000002-22-200000000000000000000000000002-200
χ702-2-222-2-2-222-2-22-2222-2-222-2-2-2-2222-2-2220000000000002-2-222-2-220000-2200000000000000-22-220000000000000000000000000000-2200
χ712-2-222-2-2-222-2-22-2222-2-222-2-2-2-2222-2-222000000000000-222-2-222-200002-2000000000000002-22-20000000000000000000000000000-2200
χ722-2-222-2-2-222-2-22-2222-2-222-2-2-2-2222-2-222000000000000-222-2-222-20000-2200000000000000-22-2200000000000000000000000000002-200
χ732-2-22-22-2-2-2-22222-222-2-22-222-2-2-2-2222-220000000000002-2-22-222-2002-2000000000000000000002-22-200000000000000000000002-20000
χ742-2-22-22-2-2-2-22222-222-2-22-222-2-2-2-2222-220000000000002-2-22-222-200-2200000000000000000000-22-220000000000000000000000-220000
χ752-2-22-22-2-2-2-22222-222-2-22-222-2-2-2-2222-22000000000000-222-22-2-22002-2000000000000000000002-22-20000000000000000000000-220000
χ762-2-22-22-2-2-2-22222-222-2-22-222-2-2-2-2222-22000000000000-222-22-2-2200-2200000000000000000000-22-2200000000000000000000002-20000
χ77444444-4-4-44-44-4-4-4-4-2-2-2-2-2-2-2222-222222000044-4-4000000000000000000000000-2-2220000000000000000000000000000000000000000
χ78444444-4-4-44-44-4-4-4-4-2-2-2-2-2-2-2222-2222220000-4-44400000000000000000000000022-2-20000000000000000000000000000000000000000
χ794444-4-444-4-4-4-44-4-44-2-2-2-2222-2-222-2222-200004i−4i4i−4i000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ804444-4-444-4-4-4-44-4-44-2-2-2-2222-2-222-2222-20000−4i4i−4i4i0000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ8144-4-4444-44-4-4-4-44-44-2-222-2-22-22-222-222-24i−4i4i−4i000000000000000000000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ8244-4-4444-44-4-4-4-44-44-2-222-2-22-22-222-222-2−4i4i−4i4i0000000000000000000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ8344-4-444-44-4-44-44-44-4-2-222-2-222-222-22-2-22000000004i−4i4i−4i000000000000000000000000000000000000−2i2i−2i2i000000000000000000000000
χ8444-4-444-44-4-44-44-44-4-2-222-2-222-222-22-2-2200000000−4i4i−4i4i0000000000000000000000000000000000002i−2i2i−2i000000000000000000000000
χ8544-4-4-4-44-4-4444-4-444-2-22222-2-222-222-2-2-2000000004-4-44000000000000000000000000000000000000-222-2000000000000000000000000
χ8644-4-4-4-44-4-4444-4-444-2-22222-2-222-222-2-2-200000000-444-40000000000000000000000000000000000002-2-22000000000000000000000000
χ8744-4-4-4-4-4444-4444-4-4-2-22222-22-2-2-2-2-22224i−4i−4i4i000000000000000000000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ8844-4-4-4-4-4444-4444-4-4-2-22222-22-2-2-2-2-2222−4i4i4i−4i0000000000000000000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ894-44-44-44-4-4-4-44444-44-44-44-444-4-4-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-44-44-4-4-4-44444-4-22-22-22-2-2222-2-22-22000000000000000000000000000000000000000000000000000023−23−232300000000000000000000
χ914-44-44-44-4-4-4-44444-4-22-22-22-2-2222-2-22-220000000000000000000000000000000000000000000000000000−232323−2300000000000000000000
χ924-44-44-4-444-444-4-4-44-22-22-22-22-2-2222-22-2000000000000000000004i−4i00000000000000−2i2i−2i2i000000000000000000000000000000000000
χ934-44-44-4-444-444-4-4-44-22-22-22-22-2-2222-22-200000000000000000000−4i4i000000000000002i−2i2i−2i000000000000000000000000000000000000
χ944-44-4-444-4444-44-4-4-44-44-4-44-44-4444-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-444-4444-44-4-4-4-22-222-22-22-2-2-22-22200000000000000000000000000000000000023−23−2323000000000000000000000000000000000000
χ964-44-4-444-4444-44-4-4-4-22-222-22-22-2-2-22-222000000000000000000000000000000000000−232323−23000000000000000000000000000000000000
χ974-44-4-44-44-44-4-4-4444-22-222-222-22-22-22-2-2000000000000000000000000004-4000000000000000000000000-22-2200000000000000000000
χ984-44-4-44-44-44-4-4-4444-22-222-222-22-22-22-2-200000000000000000000000000-440000000000000000000000002-22-200000000000000000000
χ994-4-444-444-444-4-44-4-44-4-444-4-444-44-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-444-444-4-44-4-4-222-2-222-2-22-22-2-2220000000000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ1014-4-444-444-444-4-44-4-4-222-2-222-2-22-22-2-22200000000000000000000000000000000000000000000−232323−230000000000000000000000000000
χ1024-4-444-4-4-444-4-44-444-222-2-22222-2-2-222-2-20000000000000000000000004-400000000000000-22-2200000000000000000000000000000000
χ1034-4-444-4-4-444-4-44-444-222-2-22222-2-2-222-2-2000000000000000000000000-44000000000000002-22-200000000000000000000000000000000
χ1044-4-44-44444-4-44-4-44-44-4-44-444444-4-4-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-44444-4-44-4-44-4-222-22-2-2-2-2-22222-220000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ1064-4-44-44444-4-44-4-44-4-222-22-2-2-2-2-22222-2200000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ1074-4-44-44-4-4-4-44444-44-222-22-2-22222-2-2-22-200000000000000000000004-400000000000000000000-22-220000000000000000000000000000
χ1084-4-44-44-4-4-4-44444-44-222-22-2-22222-2-2-22-20000000000000000000000-44000000000000000000002-22-20000000000000000000000000000

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