Finite Group Databasebeta

← Group #13022546

Character table — Group #13022546

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122224444444444445555555588888888888888881010101016161616161616162020202020202020202020202020202020202020404040404040404040404040
order12222222444458888101010101010102222222222442020202040404040404040404444101010102020202044444444888888888888224444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-1ii−i−iii−i−i
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−iii−i−iii
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-1iiii−i−i−i−i1111−i−iii−i−iii
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-1−i−i−i−iiiii1111ii−i−iii−i−i
χ91111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ101111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ121111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ131111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111−i−i−i−iiiii-1-111ii−i−i−i−iii
χ141111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii1111iiii−i−i−i−i-1-111−i−iiiii−i−i
χ151111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i1111−i−i−i−iiiii11-1-1−i−iiiii−i−i
χ161111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii1111iiii−i−i−i−i11-1-1ii−i−i−i−iii
χ1722222222-2-2-2-2200002222222222222220000-2-2-2-200000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-2200002222222222222220000-2-2-2-200000000-2-2-2-200000000-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2200002222222-2-2-2-2-2-2-2-20000-2-2-2-2000000002222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ2022222222-2-2-2-2200002222222-2-2-2-2-2-2-2-20000-2-2-2-200000000222200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ212222-2-2-2-200002i2i2−i2−i2222-2-2-2-2222-2-2-2-2200000000i2i2i2i2−i2−i2−i2−i20000000000002i−2i2i−2i0000i2i2−i2−i222−2−222−2−2000000000000
χ222222-2-2-2-200002i2i2−i2−i2222-2-2-2-2222-2-2-2-2200000000i2i2i2i2−i2−i2−i2−i2000000000000−2i2i−2i2i0000i2i2−i2−i2−2−222−2−222000000000000
χ232222-2-2-2-200002i2i2−i2−i2222-2-2-2-2-2-2-22222-200000000i2i2i2i2−i2−i2−i2−i20000000000002-2-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ242222-2-2-2-200002i2i2−i2−i2222-2-2-2-2-2-2-22222-200000000i2i2i2i2−i2−i2−i2−i2000000000000-222-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ252222-2-2-2-200002−i2−i2i2i2222-2-2-2-2222-2-2-2-2200000000−i2−i2−i2−i2i2i2i2i20000000000002i−2i2i−2i0000−i2−i2i2i2−2−222−2−222000000000000
χ262222-2-2-2-200002−i2−i2i2i2222-2-2-2-2222-2-2-2-2200000000−i2−i2−i2−i2i2i2i2i2000000000000−2i2i−2i2i0000−i2−i2i2i222−2−222−2−2000000000000
χ272222-2-2-2-200002−i2−i2i2i2222-2-2-2-2-2-2-22222-200000000−i2−i2−i2−i2i2i2i2i20000000000002-2-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ282222-2-2-2-200002−i2−i2i2i2222-2-2-2-2-2-2-22222-200000000−i2−i2−i2−i2i2i2i2i2000000000000-222-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ2922-2-22-22-222-2-2200002-2-22-22-222-222-2-2-22-20022-2-20000000022-2-222-2-20000000000000000000000002-20000000000
χ3022-2-22-22-222-2-2200002-2-22-22-222-222-2-2-2-220022-2-20000000022-2-2-2-222000000000000000000000000-220000000000
χ3122-2-22-22-222-2-2200002-2-22-22-2-2-22-2-22222-20022-2-200000000-2-22222-2-2000000000000000000000000-220000000000
χ3222-2-22-22-222-2-2200002-2-22-22-2-2-22-2-2222-220022-2-200000000-2-222-2-2220000000000000000000000002-20000000000
χ3322-2-22-22-2-2-222200002-2-22-22-222-222-2-2-20000-2-22200000000-2-222000000000000000000000000000000002i−2i2i−2i0000
χ3422-2-22-22-2-2-222200002-2-22-22-222-222-2-2-20000-2-22200000000-2-22200000000000000000000000000000000−2i2i−2i2i0000
χ3522-2-22-22-2-2-222200002-2-22-22-2-2-22-2-22220000-2-2220000000022-2-2000000000000000000000000000000002-2-220000
χ3622-2-22-22-2-2-222200002-2-22-22-2-2-22-2-22220000-2-2220000000022-2-200000000000000000000000000000000-222-20000
χ372-22-22-2-22000022−22−2-22-22-2-222-222-22-2-20000000022−2−222−2−200000000000000002i−2i2i−2i2−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-22-22-2-22000022−22−2-22-22-2-222-222-22-2-20000000022−2−222−2−20000000000000000−2i2i−2i2i2−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ392-22-22-2-22000022−22−2-22-22-2-22-22-2-22-2220000000022−2−222−2−200000000000000002-2-22−22−222−22−2−22−22000000000000
χ402-22-22-2-22000022−22−2-22-22-2-22-22-2-22-2220000000022−2−222−2−20000000000000000-222-2−22−22−22−222−22−2000000000000
χ412-22-22-2-2200002−22−22-22-22-2-222-222-22-2-200000000−2−222−2−22200000000000000002i−2i2i−2i−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ422-22-22-2-2200002−22−22-22-22-2-222-222-22-2-200000000−2−222−2−2220000000000000000−2i2i−2i2i−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ432-22-22-2-2200002−22−22-22-22-2-22-22-2-22-22200000000−2−222−2−22200000000000000002-2-222−22−2−22−222−22−2000000000000
χ442-22-22-2-2200002−22−22-22-22-2-22-22-2-22-22200000000−2−222−2−2220000000000000000-222-22−22−22−22−2−22−22000000000000
χ452-22-2-222-22-22-222i−2i−2i2i-22-2-222-22-22-22-22-200002-22-22i2i−2i−2i−2i−2i2i2i2-2-2200000000000000002i−2i−2i2i00000000000000000000
χ462-22-2-222-22-22-222i−2i−2i2i-22-2-222-2-22-22-22-2200002-22-22i2i−2i−2i−2i−2i2i2i-222-20000000000000000−2i2i2i−2i00000000000000000000
χ472-22-2-222-22-22-22−2i2i2i−2i-22-2-222-22-22-22-22-200002-22-2−2i−2i2i2i2i2i−2i−2i2-2-220000000000000000−2i2i2i−2i00000000000000000000
χ482-22-2-222-22-22-22−2i2i2i−2i-22-2-222-2-22-22-22-2200002-22-2−2i−2i2i2i2i2i−2i−2i-222-200000000000000002i−2i−2i2i00000000000000000000
χ492-22-2-222-2-22-2220000-22-2-222-22-22-22-22-20000-22-2200000000-222-2000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ502-22-2-222-2-22-2220000-22-2-222-22-22-22-22-20000-22-2200000000-222-200000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ512-22-2-222-2-22-2220000-22-2-222-2-22-22-22-220000-22-22000000002-2-22000000000000000000002-2-22-222-2000000000000
χ522-22-2-222-2-22-2220000-22-2-222-2-22-22-22-220000-22-22000000002-2-2200000000000000000000-222-22-2-22000000000000
χ532-2-22-2-2222-2-2220000-2-22-2-2222-2-2-222-22002-22-2-22000000002-22-2000022-2-200000000000000000000002-200000000
χ542-2-22-2-2222-2-2220000-2-22-2-2222-2-2-222-2200-222-2-22000000002-22-20000-2-2220000000000000000000000-2200000000
χ552-2-22-2-2222-2-2220000-2-22-2-222-2222-2-22-2002-22-2-2200000000-22-22000022-2-20000000000000000000000-2200000000
χ562-2-22-2-2222-2-2220000-2-22-2-222-2222-2-22-200-222-2-2200000000-22-220000-2-22200000000000000000000002-200000000
χ572-2-22-2-222-222-220000-2-22-2-2222-2-2-222-220000-222-200000000-22-220000000000000000000000000000000000002-22-2
χ582-2-22-2-222-222-220000-2-22-2-2222-2-2-222-220000-222-200000000-22-22000000000000000000000000000000000000-22-22
χ592-2-22-2-222-222-220000-2-22-2-222-2222-2-22-20000-222-2000000002-22-20000000000000000000000000000000000002i−2i−2i2i
χ602-2-22-2-222-222-220000-2-22-2-222-2222-2-22-20000-222-2000000002-22-2000000000000000000000000000000000000−2i2i2i−2i
χ61444444444444-14444-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ62444444444444-14444-1-1-1-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-100001111111100000000000000000000000000000000
χ63444444444444-1-4-4-4-4-1-1-1-1-1-1-10000000044-4-4-1-1-1-1111111110000-1-1-1-1111100000000000000000000000000000000
χ64444444444444-1-4-4-4-4-1-1-1-1-1-1-100000000-4-444-1-1-1-11111111100001111-1-1-1-100000000000000000000000000000000
χ6544-4-44-44-444-4-4-10000-111-11-11000000004-400-1-111i5−i5i5−i5i5−i5i5−i50000-1-111i5−i5i5−i500000000000000000000000000000000
χ6644-4-44-44-444-4-4-10000-111-11-11000000004-400-1-111−i5i5−i5i5−i5i5−i5i50000-1-111−i5i5−i5i500000000000000000000000000000000
χ6744-4-44-44-444-4-4-10000-111-11-1100000000-4400-1-111i5−i5i5−i5i5−i5i5−i5000011-1-1−i5i5−i5i500000000000000000000000000000000
χ6844-4-44-44-444-4-4-10000-111-11-1100000000-4400-1-111−i5i5−i5i5−i5i5−i5i5000011-1-1i5−i5i5−i500000000000000000000000000000000
χ6944-4-4-44-440000400004-4-4-44-4444-4-4-444-4000000000000000000000000000000000000000000000000000000000000
χ7044-4-4-44-440000400004-4-4-44-44-4-4444-4-44000000000000000000000000000000000000000000000000000000000000
χ714-44-4-444-44-44-4-14i−4i−4i4i1-111-1-11000000000000-11-11−i−iiiii−i−i00005−55−5i5−i5−i5i500000000000000000000000000000000
χ724-44-4-444-44-44-4-14i−4i−4i4i1-111-1-11000000000000-11-11−i−iiiii−i−i0000−55−55−i5i5i5−i500000000000000000000000000000000
χ734-44-4-444-44-44-4-1−4i4i4i−4i1-111-1-11000000000000-11-11ii−i−i−i−iii00005−55−5−i5i5i5−i500000000000000000000000000000000
χ744-44-4-444-44-44-4-1−4i4i4i−4i1-111-1-11000000000000-11-11ii−i−i−i−iii0000−55−55i5−i5−i5i500000000000000000000000000000000
χ754-4-4444-4-4000040000-4-4444-4-44-4-44-4-444000000000000000000000000000000000000000000000000000000000000
χ764-4-4444-4-4000040000-4-4444-4-4-444-444-4-4000000000000000000000000000000000000000000000000000000000000
χ774-4-44-4-4444-4-44-1000011-111-1-100000000004-4-111-15−5−55−555−500005−5−55-1-11100000000000000000000000000000000
χ784-4-44-4-4444-4-44-1000011-111-1-100000000004-4-111-1−555−55−5−550000−555−5-1-11100000000000000000000000000000000
χ794-4-44-4-4444-4-44-1000011-111-1-10000000000-44-111-15−5−55−555−50000−555−511-1-100000000000000000000000000000000
χ804-4-44-4-4444-4-44-1000011-111-1-10000000000-44-111-1−555−55−5−5500005−5−5511-1-100000000000000000000000000000000
χ8188888888-8-8-8-8-20000-2-2-2-2-2-2-200000000000022220000000000000000000000000000000000000000000000000000
χ828888-8-8-8-80000-24i24i2−4i2−4i2-2-2-222220000000000000000−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000000000000000
χ838888-8-8-8-80000-2−4i2−4i24i24i2-2-2-222220000000000000000i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000000000000000
χ8488-8-88-88-8-8-888-20000-222-22-2200000000000022-2-20000000000000000000000000000000000000000000000000000
χ8588-8-8-88-880000-20000-2222-22-2000000000000000010−1010−10−1010−101000000000000000000000000000000000000000000000
χ8688-8-8-88-880000-20000-2222-22-20000000000000000−1010−101010−1010−1000000000000000000000000000000000000000000000
χ878-88-88-8-880000-242−4242−422-22-222-20000000000000000−2−222−2−22200000000000000000000000000000000000000000000
χ888-88-88-8-880000-2−4242−42422-22-222-2000000000000000022−2−222−2−200000000000000000000000000000000000000000000
χ898-88-8-888-8-88-88-200002-222-2-220000000000002-22-20000000000000000000000000000000000000000000000000000
χ908-8-8888-8-80000-2000022-2-2-2220000000000000000i10−i10−i10i10i10−i10−i10i1000000000000000000000000000000000000000000000
χ918-8-8888-8-80000-2000022-2-2-2220000000000000000−i10i10i10−i10−i10i10i10−i1000000000000000000000000000000000000000000000
χ928-8-88-8-888-888-8-2000022-222-2-20000000000002-2-220000000000000000000000000000000000000000000000000000

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