Finite Group Databasebeta

← Group #72318142

Character table — Group #72318142

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size11222222244444444888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232646464646464
order12222222222444444222222244444444444222244444444444444444444444424444444444444444444888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ511111111111111111111-1-111111111-1-111111-1-111-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111111111-1-111111111-1-111111-1-111-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-111111111-1-111111-1-111-111-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111111-1-111111111-1-111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ9111111111111111111-1-111-1-111111-111-1-1-11-1-1-11-11-1-11-1-111111111iiii−i−i−i−i111111-1-1ii−i−iii−i−iii−i−i-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ10111111111111111111-1-111-1-111111-111-1-1-11-1-1-11-11-1-11-1-111111111−i−i−i−iiiii111111-1-1−i−iii−i−iii−i−iii-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ11111111111111111111-1-111-1-111111-111-1-1-11-1-1-11-11-1-11-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-11-1-1ii−i−iii−i−iii−i−i1111−i−i−i−iiiii11−i−iii
χ12111111111111111111-1-111-1-111111-111-1-1-11-1-1-11-11-1-11-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-11-1-1−i−iii−i−iii−i−iii1111iiii−i−i−i−i11ii−i−i
χ13111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1111-1-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-111−i−iiiii−i−i−i−iii-1-1-1-1iiii−i−i−i−i11−i−iii
χ14111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1111-1-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-111ii−i−i−i−iiiii−i−i-1-1-1-1−i−i−i−iiiii11ii−i−i
χ15111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1111-1-1-1-1-111-1-1-1-1-1-1-1-1iiii−i−i−i−i-11111-111−i−iiiii−i−i−i−iii1111−i−i−i−iiiii-1-1ii−i−i
χ16111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-11-1111-1-1-1-1-111-1-1-1-1-1-1-1-1−i−i−i−iiiii-11111-111ii−i−i−i−iiiii−i−i1111iiii−i−i−i−i-1-1−i−iii
χ17111111111-1-11-1-1111-11111111111-11-1-1111-1-111-1-11-1-1-1-1-11111-1-1-1-111111111111-1-1-11-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-11-11-1
χ18111111111-1-11-1-1111-11111111111-11-1-1111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-111111111-1-1-1-111-1-1-1-111-1-1111-1-11-11
χ19111111111-1-11-1-1111-11111111111-11-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-11111111111111-1-111-11-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-11-11
χ20111111111-1-11-1-1111-11111111111-11-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-11-111111111-1-1-1-1-1-11111-1-111-1-1-111-11-1
χ21111111111-1-11-1-1111-111-1-1111111-1111111-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1111-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-11-11-11
χ22111111111-1-11-1-1111-111-1-1111111-1111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-11111111111-1-1-1-111-1-111-111-11-1
χ23111111111-1-11-1-1111-111-1-1111111-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-111-1-11-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-11-1
χ24111111111-1-11-1-1111-111-1-1111111-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1-111111111-1-11111-1-111-1-11-1-11-11
χ25111111111-1-11-1-1111-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1111111-1-1-1-1iiii−i−i−i−i111-1-1-1-11−i−iii−i−iiiii−i−i-1-111ii−i−i−i−iii-11i−i−ii
χ26111111111-1-11-1-1111-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1111111-1-1-1-1−i−i−i−iiiii111-1-1-1-11ii−i−iii−i−i−i−iii-1-111−i−iiiii−i−i-11−iii−i
χ27111111111-1-11-1-1111-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-111-1-1-1-11111iiii−i−i−i−i1-1-111-1-11−i−iii−i−iiiii−i−i11-1-1−i−iiiii−i−i1-1−iii−i
χ28111111111-1-11-1-1111-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-111-1-1-1-11111−i−i−i−iiiii1-1-111-1-11ii−i−iii−i−i−i−iii11-1-1ii−i−i−i−iii1-1i−i−ii
χ29111111111-1-11-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1111-11-1111-1-11111-1-1-1-1iiii−i−i−i−i-1-1-11111-1ii−i−i−i−iii−i−iii-1-111ii−i−i−i−iii1-1−iii−i
χ30111111111-1-11-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1111-11-1111-1-11111-1-1-1-1−i−i−i−iiiii-1-1-11111-1−i−iiiii−i−iii−i−i-1-111−i−iiiii−i−i1-1i−i−ii
χ31111111111-1-11-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1111-11-1111-1-1-1-1-1-11111iiii−i−i−i−i-111-1-111-1ii−i−i−i−iii−i−iii11-1-1−i−iiiii−i−i-11i−i−ii
χ32111111111-1-11-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1111-11-1111-1-1-1-1-1-11111−i−i−i−iiiii-111-1-111-1−i−iiiii−i−iii−i−i11-1-1ii−i−i−i−iii-11−iii−i
χ33222222222222222222222222-2-2-2-22-222-2-2-2-2222-222-2-22220000000000000000-20000-2-2-2000000000000000000000000000000
χ3422222222222222222222-2-222-2-2-2-22-2-2-2-2-2-2-22-2-2-22-2-2-2-2-2-2000000000000000020000222000000000000000000000000000000
χ35222222222222222222-2-222-2-2-2-2-2-22222222-2-2-2-2-2-22222-2-20000000000000000-20000-222000000000000000000000000000000
χ36222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2222-2-222-2-2-222-2220000000000000000200002-2-2000000000000000000000000000000
χ37222222222-2-22-2-2222-2222222-2-2-2-2-2-2-2-2-2-2-22-2222-2222-2-2-20000000000000000-200002-22000000000000000000000000000000
χ38222222222-2-22-2-2222-222-2-222-2-2-2-2-2-222-2-2-22-2-2-22-2-222222000000000000000020000-22-2000000000000000000000000000000
χ39222222222-2-22-2-2222-2-2-222-2-2-2-2-2-2-22-2-222222-2-2222-2-2-2220000000000000000-2000022-2000000000000000000000000000000
χ40222222222-2-22-2-2222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-22-2-2000000000000000020000-2-22000000000000000000000000000000
χ41222-22-22-2-2002002-2-202-2002-222-2-20-2002-2200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000002i−2i002-2002-2000000
χ42222-22-22-2-2002002-2-202-2002-222-2-20-2002-2200000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000002i−2i00-2200-22000000
χ43222-22-22-2-2002002-2-202-2002-222-2-20-2002-220000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000−2i2i00-2200-22000000
χ44222-22-22-2-2002002-2-202-2002-222-2-20-2002-220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000−2i2i002-2002-2000000
χ45222-22-22-2-2002002-2-20-2200-2222-2-20200-22-200000000000000002i2i−2i−2i22-2-2-2-2220000000000000000000000−2i2i00−2i2i002i−2i000000
χ46222-22-22-2-2002002-2-20-2200-2222-2-20200-22-200000000000000002i2i−2i−2i-2-22222-2-20000000000000000000000−2i2i002i−2i00−2i2i000000
χ47222-22-22-2-2002002-2-20-2200-2222-2-20200-22-20000000000000000−2i−2i2i2i22-2-2-2-22200000000000000000000002i−2i002i−2i00−2i2i000000
χ48222-22-22-2-2002002-2-20-2200-2222-2-20200-22-20000000000000000−2i−2i2i2i-2-22222-2-200000000000000000000002i−2i00−2i2i002i−2i000000
χ4922-22-222-2-200200-22-202-200-222-22-202002-2-20000000000002i2i−2i−2i00002-22-22-22-2000000000000000000002i−2i002i−2i002i−2i00000000
χ5022-22-222-2-200200-22-202-200-222-22-202002-2-20000000000002i2i−2i−2i0000-22-22-22-22000000000000000000002i−2i00−2i2i00−2i2i00000000
χ5122-22-222-2-200200-22-202-200-222-22-202002-2-2000000000000−2i−2i2i2i00002-22-22-22-200000000000000000000−2i2i00−2i2i00−2i2i00000000
χ5222-22-222-2-200200-22-202-200-222-22-202002-2-2000000000000−2i−2i2i2i0000-22-22-22-2200000000000000000000−2i2i002i−2i002i−2i00000000
χ5322-22-222-2-200200-22-20-22002-22-22-20-200-2220000000000002i2i−2i−2i00002i−2i2i−2i−2i2i−2i2i00000000000000000000−2i2i00-22002-200000000
χ5422-22-222-2-200200-22-20-22002-22-22-20-200-2220000000000002i2i−2i−2i0000−2i2i−2i2i2i−2i2i−2i00000000000000000000−2i2i002-200-2200000000
χ5522-22-222-2-200200-22-20-22002-22-22-20-200-222000000000000−2i−2i2i2i00002i−2i2i−2i−2i2i−2i2i000000000000000000002i−2i002-200-2200000000
χ5622-22-222-2-200200-22-20-22002-22-22-20-200-222000000000000−2i−2i2i2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000002i−2i00-22002-200000000
χ5722-2-2-2-2222222-2-2-2-22-22200-2-22-2-222-20022-2-2-2002202-2000000000002i−2i−2i2i2i−2i−2i2i0000000000002i−2i2i−2i0000000000000000000000
χ5822-2-2-2-2222222-2-2-2-22-22200-2-22-2-222-20022-2-2-2002202-200000000000−2i2i2i−2i−2i2i2i−2i000000000000−2i2i−2i2i0000000000000000000000
χ5922-2-2-2-2222222-2-2-2-22-22200-2-2-222-22200-2-222-200-220-220000000000000000000000000002i−2i2i−2i00002i−2i2i−2i000000000000000000
χ6022-2-2-2-2222222-2-2-2-22-22200-2-2-222-22200-2-222-200-220-22000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000
χ6122-2-2-2-2222222-2-2-2-22-2-2-200222-2-222200-2-22-22002-20-22000000000002-2-22-222-20000000000002-2-220000000000000000000000
χ6222-2-2-2-2222222-2-2-2-22-2-2-200222-2-222200-2-22-22002-20-2200000000000-222-22-2-22000000000000-222-20000000000000000000000
χ6322-2-2-2-2222222-2-2-2-22-2-2-20022-222-22-20022-22200-2-202-20000000000000000000000000002-2-2200002-2-22000000000000000000
χ6422-2-2-2-2222222-2-2-2-22-2-2-20022-222-22-20022-22200-2-202-2000000000000000000000000000-222-20000-222-2000000000000000000
χ6522-2-2-2-2222-2-2222-2-2222200-2-22-2-22-2-20022-22200-2-20-22000000000002i−2i−2i2i2i−2i−2i2i000000000000−2i2i−2i2i0000000000000000000000
χ6622-2-2-2-2222-2-2222-2-2222200-2-22-2-22-2-20022-22200-2-20-2200000000000−2i2i2i−2i−2i2i2i−2i0000000000002i−2i2i−2i0000000000000000000000
χ6722-2-2-2-2222-2-2222-2-2222200-2-2-222-2-2200-2-22-22002-202-20000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000000000
χ6822-2-2-2-2222-2-2222-2-2222200-2-2-222-2-2200-2-22-22002-202-2000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000000000
χ6922-2-2-2-2222-2-2222-2-222-2-200222-2-22-2200-2-222-200-2202-2000000000002-2-22-222-2000000000000-222-20000000000000000000000
χ7022-2-2-2-2222-2-2222-2-222-2-200222-2-22-2200-2-222-200-2202-200000000000-222-22-2-220000000000002-2-220000000000000000000000
χ7122-2-2-2-2222-2-2222-2-222-2-20022-222-2-2-20022-2-2-200220-220000000000000000000000000002-2-220000-222-2000000000000000000
χ7222-2-2-2-2222-2-2222-2-222-2-20022-222-2-2-20022-2-2-200220-22000000000000000000000000000-222-200002-2-22000000000000000000
χ7344444444444-444-4-4-4-40044000000-4044000000000-400-400000000000000000000000000000000000000000000000000000000
χ7444444444444-444-4-4-4-400-4-4000000-40-4-4000000000400400000000000000000000000000000000000000000000000000000000
χ75444444444-4-4-4-4-4-4-4-44004400000040-4-4000000000-400400000000000000000000000000000000000000000000000000000000
χ76444444444-4-4-4-4-4-4-4-4400-4-40000004044000000000400-400000000000000000000000000000000000000000000000000000000
χ774444-4-4-44-44-404-40000004-4000000004-40000000000000002i−2i2i−2i2i−2i2i−2i0000000002i−2i2i−2i000000000000000000000000000000000
χ784444-4-4-44-44-404-40000004-4000000004-4000000000000000−2i2i−2i2i−2i2i−2i2i000000000−2i2i−2i2i000000000000000000000000000000000
χ794444-4-4-44-44-404-4000000-4400000000-440000000000000002i−2i2i−2i2i−2i2i−2i000000000−2i2i−2i2i000000000000000000000000000000000
χ804444-4-4-44-44-404-4000000-4400000000-44000000000000000−2i2i−2i2i−2i2i−2i2i0000000002i−2i2i−2i000000000000000000000000000000000
χ814444-4-4-44-4-440-440000004-400000000-440000000000000002i−2i2i−2i−2i2i−2i2i0000000002i−2i−2i2i000000000000000000000000000000000
χ824444-4-4-44-4-440-440000004-400000000-44000000000000000−2i2i−2i2i2i−2i2i−2i000000000−2i2i2i−2i000000000000000000000000000000000
χ834444-4-4-44-4-440-44000000-44000000004-40000000000000002i−2i2i−2i−2i2i−2i2i000000000−2i2i2i−2i000000000000000000000000000000000
χ844444-4-4-44-4-440-44000000-44000000004-4000000000000000−2i2i−2i2i2i−2i2i−2i0000000002i−2i−2i2i000000000000000000000000000000000
χ85444-44-44-4-4004004-4-404-4004-4-4-4440400-44-4000000000000000000000000000000000000000000000000000000000000000000
χ86444-44-44-4-4004004-4-40-4400-44-4-4440-4004-44000000000000000000000000000000000000000000000000000000000000000000
χ8744-44-444-4-400400-44-404-400-44-44-440-400-444000000000000000000000000000000000000000000000000000000000000000000
χ8844-44-444-4-400400-44-40-44004-4-44-4404004-4-4000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-444444-4-4-444-440000000000-4000000004-40000004-4000000000000000000000000000000000000000000000000000000
χ9044-4-4-4-444444-4-4-444-440000000000-400000000-44000000-44000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-4444-4-4-44444-4-400000000004000000004-4000000-44000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-4444-4-4-44444-4-40000000000400000000-440000004-4000000000000000000000000000000000000000000000000000000
χ93888-88-88-8-800-800-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ94888-8-88-8-880000000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000
χ95888-8-88-8-88000000000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000
χ9688-888-8-8-88000000000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ9788-888-8-8-8800000000000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000
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χ9988-8-888-88-88-80-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-888-88-8-8808-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10132-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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