Finite Group Databasebeta

← Group #13040322

Character table — Group #13040322

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222224444444444444445555888888888888881010101010101010101010101010101016161616161616162020202020202020202020202020202020202040404040404040404040
order12224444888822224588101010202020202222442020202040404040404040404444444444448888101010102020202022224444488888888884444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-111111111-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1iiii−i−i−i−i
χ4111111111111111111111111111-1-1-1-111111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-111111111-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1−i−i−i−iiiii
χ5111111111111-1-1-1-1111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111-1-1-1-1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-11111-1ii−i−i-1-1iiii−i−i−i−i11−i−i−i−iiiii
χ8111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−iii-1-1−i−i−i−iiiii11iiii−i−i−i−i
χ911111111-1-1-1-111-1-111-1-1111111111111-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-111111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1
χ1011111111-1-1-1-111-1-111-1-1111111111111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11-1-1-1-1-1-1111111111-1-1-111-1-111
χ1111111111-1-1-1-111-1-111-1-11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1111111-1-111-1-1-1-111-1ii−i−i11−i−i−i−iiiii-11ii−i−i−i−iii
χ1211111111-1-1-1-111-1-111-1-11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1111111-1-111-1-1-1-111-1−i−iii11iiii−i−i−i−i-11−i−iiiii−i−i
χ1311111111-1-1-1-1-1-11111-1-111111111111-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111
χ1411111111-1-1-1-1-1-11111-1-111111111111-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1111-1-1-1-1-1-111111111-1111-1-111-1-1
χ1511111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11111-1-111-1-11111-1-1-1ii−i−i11−i−i−i−iiiii1-1−i−iiiii−i−i
χ1611111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11111-1-111-1-11111-1-1-1−i−iii11iiii−i−i−i−i1-1ii−i−i−i−iii
χ171111-1-11111111111-11-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1111111111-1-1-1-11111-11-11-1-1-111-1-111-1-1-1-11-11-11-11-1
χ181111-1-11111111111-11-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-111-1-111111111111-1-1-1-11111-1-11-11-1-1-1-111-1-111-1-1-11-11-11-11
χ191111-1-11111111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-11111-1-1-1-1-1-1-1-11i−i−ii11ii−i−i−i−iii11i−ii−i−ii−ii
χ201111-1-11111111111-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-11111-1-1-1-1-1-1-1-11−iii−i11−i−iiiii−i−i11−ii−iii−ii−i
χ211111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1111111-1-1111111-1-1-1-11-1-111-1-111-1-111111-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-111-1-111-11-11-11-11
χ221111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1111111-1-1111111-1-1-1-11-1-1-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-111-1-111111-11-11-11-1
χ231111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1111111111i−i−ii11ii−i−i−i−iii-1-1−ii−iii−ii−i
χ241111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1111111111−iii−i11−i−iiiii−i−i-1-1i−ii−i−ii−ii
χ251111-1-111-1-1-1-111-1-1-1111111-1-1-1-11111-11-1-111-1-1-1-111111-1-111-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-11-11-111-1-111-1-111-111-1-111-1-11
χ261111-1-111-1-1-1-111-1-1-1111111-1-1-1-11111-11-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11-111111-1-111-1-1-11-111-1-111-1
χ271111-1-111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-111ii−i−i−i−iii-1111111-1-1-1-111-1-1111i−i−ii-1-1−i−iiiii−i−i1-1i−i−ii−iii−i
χ281111-1-111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-111−i−iiiii−i−i-1111111-1-1-1-111-1-1111−iii−i-1-1ii−i−i−i−iii1-1−iii−ii−i−ii
χ291111-1-111-1-1-1-1-1-111-1111111-1-1-1-111111-1-1-111-1-1-1-111111-1-111-1-111-1-11-1-1-1-1-1-11111-1-1-1-111-11-11-111-1-111-1-1111-1-111-1-111-1
χ301111-1-111-1-1-1-1-1-111-1111111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11-111111-1-111-1-11-11-1-111-1-11
χ311111-1-111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-111ii−i−i−i−iii-11111-1-11111-1-111-1-11i−i−ii-1-1−i−iiiii−i−i-11−iii−ii−i−ii
χ321111-1-111-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-111−i−iiiii−i−i-11111-1-11111-1-111-1-11−iii−i-1-1ii−i−i−i−iii-11i−i−ii−iii−i
χ33222222-2-200000000-22002222222222200-2-2-2-200000000-22222222222-20000000000000000-2-2-2-2-200000000000000000000
χ34222222-2-200000000-22002222222222200-2-2-2-200000000-222-2-2-2-2-2-2-2-2-20000000000000000-2222200000000000000000000
χ35222222-2-200000000-22002222222-2-2-2-200-2-2-2-2000000002-2-22i2i2i2i−2i−2i−2i−2i200000000000000002−2i−2i2i2i00000000000000000000
χ36222222-2-200000000-22002222222-2-2-2-200-2-2-2-2000000002-2-2−2i−2i−2i−2i2i2i2i2i2000000000000000022i2i−2i−2i00000000000000000000
χ372222-2-2-2-2000000002200222-2-2-2-222220022-2-200000000-2-2-222-2-222-2-2-200000000000000002-22-2200000000000000000000
χ382222-2-2-2-2000000002200222-2-2-2-222220022-2-200000000-2-2-2-2-222-2-222-2000000000000000022-22-200000000000000000000
χ392222-2-2-2-2000000002200222-2-2-2-2-2-2-2-20022-2-2000000002222i2i−2i−2i−2i−2i2i2i20000000000000000-2−2i2i2i−2i00000000000000000000
χ402222-2-2-2-2000000002200222-2-2-2-2-2-2-2-20022-2-200000000222−2i−2i2i2i2i2i−2i−2i20000000000000000-22i−2i−2i2i00000000000000000000
χ4122-2-2002-222-2-22-22-202002-2-2000022-2-200002-222-2-2000020000000000-222-2-22-22-200002-22-20000000000000000000000000
χ4222-2-2002-222-2-22-22-202002-2-20000-2-22200002-222-2-20000-200000000002-2-2222-22-20000-22-220000000000000000000000000
χ4322-2-2002-222-2-2-22-2202002-2-2000022-2-200002-222-2-2000020000000000-222-2-2-22-220000-22-220000000000000000000000000
χ4422-2-2002-222-2-2-22-2202002-2-20000-2-22200002-222-2-20000-200000000002-2-222-22-2200002-22-20000000000000000000000000
χ4522-2-2002-2-2-2222-2-2202002-2-2000022-2-200002-2-2-222000020000000000-2-2-2222-2-2200002-2-220000000000000000000000000
χ4622-2-2002-2-2-2222-2-2202002-2-20000-2-22200002-2-2-2220000-20000000000222-2-22-2-220000-222-20000000000000000000000000
χ4722-2-2002-2-2-222-222-202002-2-2000022-2-200002-2-2-222000020000000000-2-2-222-222-20000-222-20000000000000000000000000
χ4822-2-2002-2-2-222-222-202002-2-20000-2-22200002-2-2-2220000-20000000000222-2-2-222-200002-2-220000000000000000000000000
χ492-22-22i−2i002−22−2000002i2−i2-22-22i2i−2i−2i2-22-20000002−22−2i2i2−i2−i202i−2i2-22i−2i2-22i−2i02−22−200000000000000000i2−i22−2i2−i22−2i2−i20000000000
χ502-22-22i−2i002−22−2000002i2−i2-22-22i2i−2i−2i2-22-20000002−22−2i2i2−i2−i202i−2i-22−2i2i-22−2i2i02−22−200000000000000000i2−i2−22−i2i2−22−i2i20000000000
χ512-22-22i−2i002−22−2000002i2−i2-22-22i2i−2i−2i-22-220000002−22−2i2i2−i2−i20−2i2i2i−2i-22−2i2i2-20−22−2200000000000000000−i2i2i2−i2−22−i2i22−20000000000
χ522-22-22i−2i002−22−2000002i2−i2-22-22i2i−2i−2i-22-220000002−22−2i2i2−i2−i20−2i2i−2i2i2-22i−2i-220−22−2200000000000000000−i2i2−i2i22−2i2−i2−220000000000
χ532-22-22i−2i00−22−22000002−i2i2-22-22i2i−2i−2i2-22-2000000−22−22−i2−i2i2i202i−2i2-22i−2i2-22i−2i0−22−2200000000000000000−i2i2−22−i2i2−22−i2i20000000000
χ542-22-22i−2i00−22−22000002−i2i2-22-22i2i−2i−2i2-22-2000000−22−22−i2−i2i2i202i−2i-22−2i2i-22−2i2i0−22−2200000000000000000−i2i22−2i2−i22−2i2−i20000000000
χ552-22-22i−2i00−22−22000002−i2i2-22-22i2i−2i−2i-22-22000000−22−22−i2−i2i2i20−2i2i2i−2i-22−2i2i2-202−22−200000000000000000i2−i2−i2i22−2i2−i2−220000000000
χ562-22-22i−2i00−22−22000002−i2i2-22-22i2i−2i−2i-22-22000000−22−22−i2−i2i2i20−2i2i−2i2i2-22i−2i-2202−22−200000000000000000i2−i2i2−i2−22−i2i22−20000000000
χ572-22-2−2i2i002−22−2000002−i2i2-22-2−2i−2i2i2i2-22-20000002−22−2−i2−i2i2i20−2i2i2-2−2i2i2-2−2i2i02−22−200000000000000000−i2i22−2−i2i22−2−i2i20000000000
χ582-22-2−2i2i002−22−2000002−i2i2-22-2−2i−2i2i2i2-22-20000002−22−2−i2−i2i2i20−2i2i-222i−2i-222i−2i02−22−200000000000000000−i2i2−22i2−i2−22i2−i20000000000
χ592-22-2−2i2i002−22−2000002−i2i2-22-2−2i−2i2i2i-22-220000002−22−2−i2−i2i2i202i−2i2i−2i2-2−2i2i-220−22−2200000000000000000i2−i2i2−i22−2−i2i2−220000000000
χ602-22-2−2i2i002−22−2000002−i2i2-22-2−2i−2i2i2i-22-220000002−22−2−i2−i2i2i202i−2i−2i2i-222i−2i2-20−22−2200000000000000000i2−i2−i2i2−22i2−i22−20000000000
χ612-22-2−2i2i00−22−22000002i2−i2-22-2−2i−2i2i2i2-22-2000000−22−22i2i2−i2−i20−2i2i2-2−2i2i2-2−2i2i0−22−2200000000000000000i2−i2−22i2−i2−22i2−i20000000000
χ622-22-2−2i2i00−22−22000002i2−i2-22-2−2i−2i2i2i2-22-2000000−22−22i2i2−i2−i20−2i2i-222i−2i-222i−2i0−22−2200000000000000000i2−i22−2−i2i22−2−i2i20000000000
χ632-22-2−2i2i00−22−22000002i2−i2-22-2−2i−2i2i2i-22-22000000−22−22i2i2−i2−i202i−2i2i−2i2-2−2i2i-2202−22−200000000000000000−i2i2−i2i2−22i2−i22−20000000000
χ642-22-2−2i2i00−22−22000002i2−i2-22-2−2i−2i2i2i-22-22000000−22−22i2i2−i2−i202i−2i−2i2i-222i−2i2-202−22−200000000000000000−i2i2i2−i22−2−i2i2−220000000000
χ6544444444444444444-144-1-1-1-1-1-1-1000044-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000
χ66444444444444-4-4-4-44-144-1-1-1-1-1-1-10000-4-4-1-1-1-1-1-1-1-1-1-1-1-100000000000000001111111100000000000000000000000000000
χ6744444444-4-4-4-444-4-44-1-4-4-1-1-1-1-1-1-100004-4-1-1-1-1111111110000000000000000-1-111-1-11100000000000000000000000000000
χ6844444444-4-4-4-4-4-4444-1-4-4-1-1-1-1-1-1-10000-44-1-1-1-111111111000000000000000011-1-111-1-100000000000000000000000000000
χ694444-4-44444444444-4-1-4-4-1-1-111110000-4-411-1-1-1-1-1-111110000000000000000-1-1-1-1111100000000000000000000000000000
χ704444-4-4444444-4-4-4-4-4-1-4-4-1-1-1111100004411-1-1-1-1-1-1111100000000000000001111-1-1-1-100000000000000000000000000000
χ714444-4-444-4-4-4-444-4-4-4-144-1-1-111110000-4411-1-11111-1-1-1-10000000000000000-1-11111-1-100000000000000000000000000000
χ724444-4-444-4-4-4-4-4-444-4-144-1-1-1111100004-411-1-11111-1-1-1-1000000000000000011-1-1-1-11100000000000000000000000000000
χ7344-4-4004-444-4-44-44-40-100-111i5−i5i5−i5000000i5−i5-11-1-111i5−i5i5−i50000000000000000-11-11i5−i5i5−i500000000000000000000000000000
χ7444-4-4004-444-4-44-44-40-100-111−i5i5−i5i5000000−i5i5-11-1-111−i5i5−i5i50000000000000000-11-11−i5i5−i5i500000000000000000000000000000
χ7544-4-4004-444-4-4-44-440-100-111i5−i5i5−i5000000i5−i5-11-1-111i5−i5i5−i500000000000000001-11-1−i5i5−i5i500000000000000000000000000000
χ7644-4-4004-444-4-4-44-440-100-111−i5i5−i5i5000000−i5i5-11-1-111−i5i5−i5i500000000000000001-11-1i5−i5i5−i500000000000000000000000000000
χ7744-4-4004-4-4-4444-4-440-100-111i5−i5i5−i5000000i5−i5-1111-1-1−i5i5−i5i50000000000000000-111-1i5−i5−i5i500000000000000000000000000000
χ7844-4-4004-4-4-4444-4-440-100-111−i5i5−i5i5000000−i5i5-1111-1-1i5−i5i5−i50000000000000000-111-1−i5i5i5−i500000000000000000000000000000
χ7944-4-4004-4-4-444-444-40-100-111i5−i5i5−i5000000i5−i5-1111-1-1−i5i5−i5i500000000000000001-1-11−i5i5i5−i500000000000000000000000000000
χ8044-4-4004-4-4-444-444-40-100-111−i5i5−i5i5000000−i5i5-1111-1-1i5−i5i5−i500000000000000001-1-11i5−i5−i5i500000000000000000000000000000
χ8144-4-400-440000000004004-4-4000044-4-40000-4400000000-40000000000400000000000000000000000000000000000000000
χ8244-4-400-440000000004004-4-40000-4-4440000-440000000040000000000-400000000000000000000000000000000000000000
χ834-4-44000022−22−222200000400-4-4400004-4-4400000022−22−2222000000000000000022−22−22220000000000000000000000000000000000000
χ844-4-44000022−22−222200000400-4-440000-444-400000022−22−22220000000000000000−222222−220000000000000000000000000000000000000
χ854-4-440000−222222−2200000400-4-4400004-4-44000000−222222−220000000000000000−222222−220000000000000000000000000000000000000
χ864-4-440000−222222−2200000400-4-440000-444-4000000−222222−22000000000000000022−22−22220000000000000000000000000000000000000
χ87888888-8-800000000-8-200-2-2-2-2-2-2-200000022220000000000000000000000000000000000000000000000000000000000000
χ888888-8-8-8-8000000008-200-2-2-22222000000-2-2220000000000000000000000000000000000000000000000000000000000000
χ8988-8-800-88000000000-200-2222i5−2i52i5−2i5000000−2i52i52-20000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-88000000000-200-222−2i52i5−2i52i50000002i5−2i52-20000000000000000000000000000000000000000000000000000000000000
χ918-88-88i−8i0042−4242−4200000-24i2−4i22-22−2i−2i2i2i0000000000−22−22−i2−i2i2i200000000000000000000000000000000000000000000000000000
χ928-88-88i−8i00−4242−424200000-2−4i24i22-22−2i−2i2i2i00000000002−22−2i2i2−i2−i200000000000000000000000000000000000000000000000000000
χ938-88-8−8i8i0042−4242−4200000-2−4i24i22-222i2i−2i−2i0000000000−22−22i2i2−i2−i200000000000000000000000000000000000000000000000000000
χ948-88-8−8i8i00−4242−424200000-24i2−4i22-222i2i−2i−2i00000000002−22−2−i2−i2i2i200000000000000000000000000000000000000000000000000000
χ958-8-88000042−42−424200000-20022-225−25−25250000000000−222−210−10−101000000000000000000000000000000000000000000000000000000
χ968-8-88000042−42−424200000-20022-2−252525−250000000000−222−2−101010−1000000000000000000000000000000000000000000000000000000
χ978-8-880000−424242−4200000-20022-225−25−252500000000002−2−22−101010−1000000000000000000000000000000000000000000000000000000
χ988-8-880000−424242−4200000-20022-2−252525−2500000000002−2−2210−10−101000000000000000000000000000000000000000000000000000000

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