Finite Group Databasebeta

← Group #13022547

Character table — Group #13022547

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122224444444444445555555588888888888888881010101016161616161616162020202020202020202020202020202020202020404040404040404040404040
order12222222444458888101010101010102222222244442020202040404040404040404444202020202020202044444444888888888888444444444444
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
χ91111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ101111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ121111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
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-1-111−i−iiiii−i−i
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-1-111ii−i−i−i−iii
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−iiiii11-1-1ii−i−i−i−iii
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−i11-1-1−i−iiiii−i−i
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
χ212222-2-2-2-20000222−2−2222-2-2-2-2222-2-22-2-2000000002222−2−2−2−20000000000002-22-2000022−2−222−2−222−2−2000000000000
χ222222-2-2-2-20000222−2−2222-2-2-2-2222-2-22-2-2000000002222−2−2−2−2000000000000-22-22000022−2−2−2−222−2−222000000000000
χ232222-2-2-2-20000222−2−2222-2-2-2-2-2-2-222-222000000002222−2−2−2−20000000000002i−2i−2i2i0000−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ242222-2-2-2-20000222−2−2222-2-2-2-2-2-2-222-222000000002222−2−2−2−2000000000000−2i2i2i−2i0000−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ252222-2-2-2-200002−2−222222-2-2-2-2222-2-22-2-200000000−2−2−2−222220000000000002-22-20000−2−222−2−222−2−222000000000000
χ262222-2-2-2-200002−2−222222-2-2-2-2222-2-22-2-200000000−2−2−2−22222000000000000-22-220000−2−22222−2−222−2−2000000000000
χ272222-2-2-2-200002−2−222222-2-2-2-2-2-2-222-22200000000−2−2−2−222220000000000002i−2i−2i2i000022−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ282222-2-2-2-200002−2−222222-2-2-2-2-2-2-222-22200000000−2−2−2−22222000000000000−2i2i2i−2i000022−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ2922-2-22-22-200002i2−i2i2−i22-2-22-22-222-22-2-2-2200000000i2i2−i2−i2i2i2−i2−i200000000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ3022-2-22-22-200002i2−i2i2−i22-2-22-22-222-22-2-2-2200000000i2i2−i2−i2i2i2−i2−i20000000000000000-22-22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ3122-2-22-22-200002i2−i2i2−i22-2-22-22-2-2-22-2222-200000000i2i2−i2−i2i2i2−i2−i200000000000000002i−2i−2i2i−i2i2−i2i2−22−222−22−2000000000000
χ3222-2-22-22-200002i2−i2i2−i22-2-22-22-2-2-22-2222-200000000i2i2−i2−i2i2i2−i2−i20000000000000000−2i2i2i−2i−i2i2−i2i22−22−2−22−22000000000000
χ3322-2-22-22-200002−i2i2−i2i22-2-22-22-222-22-2-2-2200000000−i2−i2i2i2−i2−i2i2i200000000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ3422-2-22-22-200002−i2i2−i2i22-2-22-22-222-22-2-2-2200000000−i2−i2i2i2−i2−i2i2i20000000000000000-22-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ3522-2-22-22-200002−i2i2−i2i22-2-22-22-2-2-22-2222-200000000−i2−i2i2i2−i2−i2i2i200000000000000002i−2i−2i2ii2−i2i2−i22−22−2−22−22000000000000
χ3622-2-22-22-200002−i2i2−i2i22-2-22-22-2-2-22-2222-200000000−i2−i2i2i2−i2−i2i2i20000000000000000−2i2i2i−2ii2−i2i2−i2−22−222−22−2000000000000
χ3722-2-2-22-2222-2-222i−2i−2i2i2-2-2-22-2222-2-22-22-2000022-2-22i2i−2i−2i−2i−2i2i2i2-2-2200000000000000002i−2i−2i2i00000000000000000000
χ3822-2-2-22-2222-2-222i−2i−2i2i2-2-2-22-22-2-222-22-22000022-2-22i2i−2i−2i−2i−2i2i2i-222-20000000000000000−2i2i2i−2i00000000000000000000
χ3922-2-2-22-2222-2-22−2i2i2i−2i2-2-2-22-2222-2-22-22-2000022-2-2−2i−2i2i2i2i2i−2i−2i2-2-220000000000000000−2i2i2i−2i00000000000000000000
χ4022-2-2-22-2222-2-22−2i2i2i−2i2-2-2-22-22-2-222-22-22000022-2-2−2i−2i2i2i2i2i−2i−2i-222-200000000000000002i−2i−2i2i00000000000000000000
χ4122-2-2-22-22-2-222200002-2-2-22-2222-2-22-22-20000-2-22200000000-222-2000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ4222-2-2-22-22-2-222200002-2-2-22-2222-2-22-22-20000-2-22200000000-222-200000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ4322-2-2-22-22-2-222200002-2-2-22-22-2-222-22-220000-2-222000000002-2-22000000000000000000002-2-22-222-2000000000000
χ4422-2-2-22-22-2-222200002-2-2-22-22-2-222-22-220000-2-222000000002-2-2200000000000000000000-222-22-2-22000000000000
χ452-22-22-2-222-22-220000-22-22-2-222-2222-2-2-2002-22-22-20000000022-2-2000022-2-200000000000000000000002-200000000
χ462-22-22-2-222-22-220000-22-22-2-222-2222-2-2-200-222-22-20000000022-2-20000-2-2220000000000000000000000-2200000000
χ472-22-22-2-222-22-220000-22-22-2-22-22-2-2-2222002-22-22-200000000-2-222000022-2-20000000000000000000000-2200000000
χ482-22-22-2-222-22-220000-22-22-2-22-22-2-2-222200-222-22-200000000-2-2220000-2-22200000000000000000000002-200000000
χ492-22-22-2-22-22-2220000-22-22-2-222-2222-2-2-20000-22-2200000000-2-222000000000000000000000000000000002i−2i2i−2i0000
χ502-22-22-2-22-22-2220000-22-22-2-222-2222-2-2-20000-22-2200000000-2-22200000000000000000000000000000000−2i2i−2i2i0000
χ512-22-22-2-22-22-2220000-22-22-2-22-22-2-2-22220000-22-220000000022-2-2000000000000000000000000000000002-2-220000
χ522-22-22-2-22-22-2220000-22-22-2-22-22-2-2-22220000-22-220000000022-2-200000000000000000000000000000000-222-20000
χ532-2-22-2-2222-2-2220000-2-22-2-2222-2-2-222-222-2002-2-22000000002-22-222-2-20000000000000000000000002-20000000000
χ542-2-22-2-2222-2-2220000-2-22-2-2222-2-2-222-22-22002-2-22000000002-22-2-2-222000000000000000000000000-220000000000
χ552-2-22-2-2222-2-2220000-2-22-2-222-2222-2-22-22-2002-2-2200000000-22-2222-2-2000000000000000000000000-220000000000
χ562-2-22-2-2222-2-2220000-2-22-2-222-2222-2-22-2-22002-2-2200000000-22-22-2-2220000000000000000000000002-20000000000
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
χ6544-4-4-44-4444-4-4-14i−4i−4i4i-1111-11-1000000000000-1-111−i−iiiii−i−i0000i5−i5i5−i55−55−500000000000000000000000000000000
χ6644-4-4-44-4444-4-4-14i−4i−4i4i-1111-11-1000000000000-1-111−i−iiiii−i−i0000−i5i5−i5i5−55−5500000000000000000000000000000000
χ6744-4-4-44-4444-4-4-1−4i4i4i−4i-1111-11-1000000000000-1-111ii−i−i−i−iii0000i5−i5i5−i5−55−5500000000000000000000000000000000
χ6844-4-4-44-4444-4-4-1−4i4i4i−4i-1111-11-1000000000000-1-111ii−i−i−i−iii0000−i5i5−i5i55−55−500000000000000000000000000000000
χ694-44-44-4-444-44-4-100001-11-111-100000000004-4-11-11i5−i5i5−i5i5−i5i5−i50000i5−i5−i5i5-1-11100000000000000000000000000000000
χ704-44-44-4-444-44-4-100001-11-111-100000000004-4-11-11−i5i5−i5i5−i5i5−i5i50000−i5i5i5−i5-1-11100000000000000000000000000000000
χ714-44-44-4-444-44-4-100001-11-111-10000000000-44-11-11i5−i5i5−i5i5−i5i5−i50000−i5i5i5−i511-1-100000000000000000000000000000000
χ724-44-44-4-444-44-4-100001-11-111-10000000000-44-11-11−i5i5−i5i5−i5i5−i5i50000i5−i5−i5i511-1-100000000000000000000000000000000
χ734-44-4-444-4000040000-44-4-444-44-44-4-4-444000000000000000000000000000000000000000000000000000000000000
χ744-44-4-444-4000040000-44-4-444-4-44-4444-4-4000000000000000000000000000000000000000000000000000000000000
χ754-4-4444-4-4000040000-4-4444-4-44-4-44-444-4000000000000000000000000000000000000000000000000000000000000
χ764-4-4444-4-4000040000-4-4444-4-4-444-44-4-44000000000000000000000000000000000000000000000000000000000000
χ774-4-44-4-4444-4-44-1000011-111-1-1000000004-400-111-15−5−55−555−50000-1-1115−5−5500000000000000000000000000000000
χ784-4-44-4-4444-4-44-1000011-111-1-1000000004-400-111-1−555−55−5−550000-1-111−555−500000000000000000000000000000000
χ794-4-44-4-4444-4-44-1000011-111-1-100000000-4400-111-15−5−55−555−5000011-1-1−555−500000000000000000000000000000000
χ804-4-44-4-4444-4-44-1000011-111-1-100000000-4400-111-1−555−55−5−55000011-1-15−5−5500000000000000000000000000000000
χ8188888888-8-8-8-8-20000-2-2-2-2-2-2-200000000000022220000000000000000000000000000000000000000000000000000
χ828888-8-8-8-80000-24242−42−42-2-2-222220000000000000000−2−2−2−2222200000000000000000000000000000000000000000000
χ838888-8-8-8-80000-2−42−424242-2-2-2222200000000000000002222−2−2−2−200000000000000000000000000000000000000000000
χ8488-8-88-88-80000-24i2−4i24i2−4i2-222-22-220000000000000000−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000000000
χ8588-8-88-88-80000-2−4i24i2−4i24i2-222-22-220000000000000000i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000000000
χ8688-8-8-88-88-8-888-20000-2222-22-200000000000022-2-20000000000000000000000000000000000000000000000000000
χ878-88-88-8-88-88-88-200002-22-222-20000000000002-22-20000000000000000000000000000000000000000000000000000
χ888-88-8-888-80000-200002-222-2-220000000000000000i10−i10i10−i10−i10i10−i10i1000000000000000000000000000000000000000000000
χ898-88-8-888-80000-200002-222-2-220000000000000000−i10i10−i10i10i10−i10i10−i1000000000000000000000000000000000000000000000
χ908-8-8888-8-80000-2000022-2-2-222000000000000000010−10−101010−10−101000000000000000000000000000000000000000000000
χ918-8-8888-8-80000-2000022-2-2-2220000000000000000−101010−10−101010−1000000000000000000000000000000000000000000000
χ928-8-88-8-888-888-8-2000022-222-2-20000000000002-2-220000000000000000000000000000000000000000000000000000

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