Finite Group Databasebeta

← Group #13030222

Character table — Group #13030222

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122444444888888881010101010101010161616162020202020202020404040404040111122444444888888881010101010101010161616162020202020202020404040404040
order12224444510101044202020202020224444442020202044444444248888222244441010101044202020202020224444442020202044444444248888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i11111111111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i
χ411111111111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1−i−iii11111111111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1−i−iii
χ5111111111111-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11-11-11-11111-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11-11-11-1
χ101111-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111-1-11-111111-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111-1-11-11
χ111111-1-1-1111111-111-1-1-1-1-1-11111-1-111-1-1ii−i−i−i−iii-11i−i−ii1111-1-1-1111111-111-1-1-1-1-1-11111-1-111-1-1ii−i−i−i−iii-11i−i−ii
χ121111-1-1-1111111-111-1-1-1-1-1-11111-1-111-1-1−i−iiiii−i−i-11−iii−i1111-1-1-1111111-111-1-1-1-1-1-11111-1-111-1-1−i−iiiii−i−i-11−iii−i
χ131111-1-1-111111-1111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11-11-111111-1-1-111111-1111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11-11-11
χ141111-1-1-111111-1111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-111-11-11111-1-1-111111-1111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-111-11-1
χ151111-1-1-111111-1111-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1−iii−i1111-1-1-111111-1111-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1−iii−i
χ161111-1-1-111111-1111-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1i−i−ii1111-1-1-111111-1111-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1i−i−ii
χ17222222-2-2222200-2-222-2-22222-2-2-2-2000000000000000000222222-2-2222200-2-222-2-22222-2-2-2-2000000000000000000
χ18222222-2-2222200-2-222-2-2-2-2-2-22222000000000000000000222222-2-2222200-2-222-2-2-2-2-2-22222000000000000000000
χ192222-2-22-2222200-2-2-2-22222-2-222-2-20000000000000000002222-2-22-2222200-2-2-2-22222-2-222-2-2000000000000000000
χ202222-2-22-2222200-2-2-2-222-2-222-2-2220000000000000000002222-2-22-2222200-2-2-2-222-2-222-2-222000000000000000000
χ2122-2-22i−2i002-22-200002i−2i0000002-22i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000022-2-22i−2i002-22-200002i−2i0000002-22i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000
χ2222-2-22i−2i002-22-200002i−2i0000002-22i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000022-2-22i−2i002-22-200002i−2i0000002-22i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000
χ2322-2-22i−2i002-22-200002i−2i000000-22−2i2i00001−i−1+i−1−i1+i1+i−1−i−1+i1−i00000022-2-22i−2i002-22-200002i−2i000000-22−2i2i00001−i−1+i−1−i1+i1+i−1−i−1+i1−i000000
χ2422-2-22i−2i002-22-200002i−2i000000-22−2i2i0000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000022-2-22i−2i002-22-200002i−2i000000-22−2i2i0000−1+i1−i1+i−1−i−1−i1+i1−i−1+i000000
χ2522-2-2−2i2i002-22-20000−2i2i0000002-2−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000022-2-2−2i2i002-22-20000−2i2i0000002-2−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000
χ2622-2-2−2i2i002-22-20000−2i2i0000002-2−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000022-2-2−2i2i002-22-20000−2i2i0000002-2−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000
χ2722-2-2−2i2i002-22-20000−2i2i000000-222i−2i00001+i−1−i−1+i1−i1−i−1+i−1−i1+i00000022-2-2−2i2i002-22-20000−2i2i000000-222i−2i00001+i−1−i−1+i1−i1−i−1+i−1−i1+i000000
χ2822-2-2−2i2i002-22-20000−2i2i000000-222i−2i0000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000022-2-2−2i2i002-22-20000−2i2i000000-222i−2i0000−1−i1+i1−i−1+i−1+i1−i1+i−1−i000000
χ2944444444-1-1-1-144-1-1-1-1-1-100000000-1-1-1-10000000000000044444444-1-1-1-144-1-1-1-1-1-100000000-1-1-1-100000000000000
χ3044444444-1-1-1-1-4-4-1-1-1-1-1-10000000011110000000000000044444444-1-1-1-1-4-4-1-1-1-1-1-100000000111100000000000000
χ31444444-4-4-1-1-1-10011-1-111000000005−55−500000000000000444444-4-4-1-1-1-10011-1-111000000005−55−500000000000000
χ32444444-4-4-1-1-1-10011-1-11100000000−55−5500000000000000444444-4-4-1-1-1-10011-1-11100000000−55−5500000000000000
χ334444-4-44-4-1-1-1-1001111-1-1000000005−5−55000000000000004444-4-44-4-1-1-1-1001111-1-1000000005−5−5500000000000000
χ344444-4-44-4-1-1-1-1001111-1-100000000−555−5000000000000004444-4-44-4-1-1-1-1001111-1-100000000−555−500000000000000
χ354444-4-4-44-1-1-1-14-4-1-1111100000000-1-111000000000000004444-4-4-44-1-1-1-14-4-1-1111100000000-1-11100000000000000
χ364444-4-4-44-1-1-1-1-44-1-111110000000011-1-1000000000000004444-4-4-44-1-1-1-1-44-1-111110000000011-1-100000000000000
χ374-44-400004-4-44000000004-40000000000000000000000004-44-400004-4-44000000004-4000000000000000000000000
χ384-44-400004-4-4400000000-440000000000000000000000004-44-400004-4-4400000000-44000000000000000000000000
χ394-4-44000044-4-400000000004i−4i00000000000000000000004-4-44000044-4-400000000004i−4i0000000000000000000000
χ404-4-44000044-4-40000000000−4i4i00000000000000000000004-4-44000044-4-40000000000−4i4i0000000000000000000000
χ4188-8-88i−8i00-22-220000−2i2i000000000000000000000000000088-8-88i−8i00-22-220000−2i2i0000000000000000000000000000
χ4288-8-8−8i8i00-22-2200002i−2i000000000000000000000000000088-8-8−8i8i00-22-2200002i−2i0000000000000000000000000000
χ438-88-80000-222-20000002i5−2i5000000000000000000000000008-88-80000-222-20000002i5−2i500000000000000000000000000
χ448-88-80000-222-2000000−2i52i5000000000000000000000000008-88-80000-222-2000000−2i52i500000000000000000000000000
χ458-8-880000-2-2220025−250000000000000000000000000000008-8-880000-2-2220025−25000000000000000000000000000000
χ468-8-880000-2-22200−25250000000000000000000000000000008-8-880000-2-22200−2525000000000000000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4811111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ4911111111111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11−i−iii
χ5011111111111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11ii−i−i
χ51111111111111-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ52111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ53111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111−i−i−i−iiiii-1-1ii−i−i
χ54111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111iiii−i−i−i−i-1-1−i−iii
χ551111-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11-11-11-1-1-1-1-1111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-111-1-111-1-111-11-11-11
χ561111-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111-1-11-11-1-1-1-1111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-11111-1-111-1-1-111-11-1
χ571111-1-1-1111111-111-1-1-1-1-1-11111-1-111-1-1ii−i−i−i−iii-11i−i−ii-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111−i−iiiii−i−i1-1−iii−i
χ581111-1-1-1111111-111-1-1-1-1-1-11111-1-111-1-1−i−iiiii−i−i-11−iii−i-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111ii−i−i−i−iii1-1i−i−ii
χ591111-1-1-111111-1111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11-11-11-1-1-1-1111-1-1-1-1-11-1-1-11111-1-11111-1-111-1-1-1-111-1-1111-11-11-1
χ601111-1-1-111111-1111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-111-11-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-11111-1-111-1-111-1-111-1-11-1-11-11
χ611111-1-1-111111-1111-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1−iii−i-1-1-1-1111-1-1-1-1-11-1-1-1111111-1-1-1-11111-1-1−i−iiiii−i−i-11i−i−ii
χ621111-1-1-111111-1111-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1i−i−ii-1-1-1-1111-1-1-1-1-11-1-1-1111111-1-1-1-11111-1-1ii−i−i−i−iii-11−iii−i
χ63222222-2-2222200-2-222-2-22222-2-2-2-2000000000000000000-2-2-2-2-2-222-2-2-2-20022-2-222-2-2-2-22222000000000000000000
χ64222222-2-2222200-2-222-2-2-2-2-2-22222000000000000000000-2-2-2-2-2-222-2-2-2-20022-2-2222222-2-2-2-2000000000000000000
χ652222-2-22-2222200-2-2-2-22222-2-222-2-2000000000000000000-2-2-2-222-22-2-2-2-2002222-2-2-2-222-2-222000000000000000000
χ662222-2-22-2222200-2-2-2-222-2-222-2-222000000000000000000-2-2-2-222-22-2-2-2-2002222-2-222-2-222-2-2000000000000000000
χ6722-2-22i−2i002-22-200002i−2i0000002-22i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000-2-222−2i2i00-22-220000−2i2i000000-22−2i2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000
χ6822-2-22i−2i002-22-200002i−2i0000002-22i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000-2-222−2i2i00-22-220000−2i2i000000-22−2i2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000
χ6922-2-22i−2i002-22-200002i−2i000000-22−2i2i00001−i−1+i−1−i1+i1+i−1−i−1+i1−i000000-2-222−2i2i00-22-220000−2i2i0000002-22i−2i0000−1+i1−i1+i−1−i−1−i1+i1−i−1+i000000
χ7022-2-22i−2i002-22-200002i−2i000000-22−2i2i0000−1+i1−i1+i−1−i−1−i1+i1−i−1+i000000-2-222−2i2i00-22-220000−2i2i0000002-22i−2i00001−i−1+i−1−i1+i1+i−1−i−1+i1−i000000
χ7122-2-2−2i2i002-22-20000−2i2i0000002-2−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000-2-2222i−2i00-22-2200002i−2i000000-222i−2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000
χ7222-2-2−2i2i002-22-20000−2i2i0000002-2−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000-2-2222i−2i00-22-2200002i−2i000000-222i−2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000
χ7322-2-2−2i2i002-22-20000−2i2i000000-222i−2i00001+i−1−i−1+i1−i1−i−1+i−1−i1+i000000-2-2222i−2i00-22-2200002i−2i0000002-2−2i2i0000−1−i1+i1−i−1+i−1+i1−i1+i−1−i000000
χ7422-2-2−2i2i002-22-20000−2i2i000000-222i−2i0000−1−i1+i1−i−1+i−1+i1−i1+i−1−i000000-2-2222i−2i00-22-2200002i−2i0000002-2−2i2i00001+i−1−i−1+i1−i1−i−1+i−1−i1+i000000
χ7544444444-1-1-1-144-1-1-1-1-1-100000000-1-1-1-100000000000000-4-4-4-4-4-4-4-41111-4-411111100000000111100000000000000
χ7644444444-1-1-1-1-4-4-1-1-1-1-1-100000000111100000000000000-4-4-4-4-4-4-4-411114411111100000000-1-1-1-100000000000000
χ77444444-4-4-1-1-1-10011-1-111000000005−55−500000000000000-4-4-4-4-4-444111100-1-111-1-100000000−55−5500000000000000
χ78444444-4-4-1-1-1-10011-1-11100000000−55−5500000000000000-4-4-4-4-4-444111100-1-111-1-1000000005−55−500000000000000
χ794444-4-44-4-1-1-1-1001111-1-1000000005−5−5500000000000000-4-4-4-444-44111100-1-1-1-11100000000−555−500000000000000
χ804444-4-44-4-1-1-1-1001111-1-100000000−555−500000000000000-4-4-4-444-44111100-1-1-1-111000000005−5−5500000000000000
χ814444-4-4-44-1-1-1-14-4-1-1111100000000-1-11100000000000000-4-4-4-4444-41111-4411-1-1-1-10000000011-1-100000000000000
χ824444-4-4-44-1-1-1-1-44-1-111110000000011-1-100000000000000-4-4-4-4444-411114-411-1-1-1-100000000-1-11100000000000000
χ834-44-400004-4-44000000004-4000000000000000000000000-44-440000-444-400000000-44000000000000000000000000
χ844-44-400004-4-4400000000-44000000000000000000000000-44-440000-444-4000000004-4000000000000000000000000
χ854-4-44000044-4-400000000004i−4i0000000000000000000000-444-40000-4-4440000000000−4i4i0000000000000000000000
χ864-4-44000044-4-40000000000−4i4i0000000000000000000000-444-40000-4-44400000000004i−4i0000000000000000000000
χ8788-8-88i−8i00-22-220000−2i2i0000000000000000000000000000-8-888−8i8i002-22-200002i−2i0000000000000000000000000000
χ8888-8-8−8i8i00-22-2200002i−2i0000000000000000000000000000-8-8888i−8i002-22-20000−2i2i0000000000000000000000000000
χ898-88-80000-222-20000002i5−2i500000000000000000000000000-88-8800002-2-22000000−2i52i500000000000000000000000000
χ908-88-80000-222-2000000−2i52i500000000000000000000000000-88-8800002-2-220000002i5−2i500000000000000000000000000
χ918-8-880000-2-2220025−25000000000000000000000000000000-888-8000022-2-200−2525000000000000000000000000000000
χ928-8-880000-2-22200−2525000000000000000000000000000000-888-8000022-2-20025−25000000000000000000000000000000

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