Finite Group Databasebeta

← Group #17531

Character table — Group #17531

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111111122222222444444444444444444888811111111222222224444444444444444448888
order1222444422444444444444444488888888224422224444224444444444444444888888882244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-1
χ611111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-1111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11
χ711111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-1111111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-11
χ811111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ91111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-111-1-11-1-111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-111-1-11-1-11
χ101111-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-111-1-111-111-11111-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-111-1-111-111-1
χ111111-1-1-1-111-1-1-1-1111-1-1-111-1-11111-1-111-1-1-111-11111-1-1-1-111-1-1-1-1111-1-1-111-1-11111-1-111-1-1-111-1
χ121111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-111-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-111-1-1111-1-11
χ131111-1-1-1-1-1-11111-1-11-1ii−i−i−i−iiiii−i−i−i−iii11-1-11111-1-1-1-1-1-11111-1-11-1ii−i−i−i−iiiii−i−i−i−iii11-1-1
χ141111-1-1-1-1-1-11111-1-11-1ii−i−i−i−iii−i−iiiii−i−i-1-1111111-1-1-1-1-1-11111-1-11-1ii−i−i−i−iii−i−iiiii−i−i-1-111
χ151111-1-1-1-1-1-11111-1-11-1−i−iiiii−i−iii−i−i−i−iii-1-1111111-1-1-1-1-1-11111-1-11-1−i−iiiii−i−iii−i−i−i−iii-1-111
χ161111-1-1-1-1-1-11111-1-11-1−i−iiiii−i−i−i−iiiii−i−i11-1-11111-1-1-1-1-1-11111-1-11-1−i−iiiii−i−i−i−iiiii−i−i11-1-1
χ172222222222-2-222-2-2-2-2000000000000000000002222222222-2-222-2-2-2-200000000000000000000
χ1822222222-2-222-2-222-2-20000000000000000000022222222-2-222-2-222-2-200000000000000000000
χ192222-2-2-2-22222-2-2-2-2-22000000000000000000002222-2-2-2-22222-2-2-2-2-2200000000000000000000
χ202222-2-2-2-2-2-2-2-22222-22000000000000000000002222-2-2-2-2-2-2-2-22222-2200000000000000000000
χ2122-2-22i2i−2i−2i002-2002i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000000022-2-22i2i−2i−2i002-2002i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000000
χ2222-2-22i2i−2i−2i002-2002i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000000022-2-22i2i−2i−2i002-2002i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000000
χ2322-2-22i2i−2i−2i00-2200−2i2i001−i−1+i−1−i1+i1+i−1−i−1+i1−i00000000000022-2-22i2i−2i−2i00-2200−2i2i001−i−1+i−1−i1+i1+i−1−i−1+i1−i000000000000
χ2422-2-22i2i−2i−2i00-2200−2i2i00−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000000000022-2-22i2i−2i−2i00-2200−2i2i00−1+i1−i1+i−1−i−1−i1+i1−i−1+i000000000000
χ2522-2-2−2i−2i2i2i002-200−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000000022-2-2−2i−2i2i2i002-200−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000000000
χ2622-2-2−2i−2i2i2i002-200−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000000022-2-2−2i−2i2i2i002-200−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000000000
χ2722-2-2−2i−2i2i2i00-22002i−2i001+i−1−i−1+i1−i1−i−1+i−1−i1+i00000000000022-2-2−2i−2i2i2i00-22002i−2i001+i−1−i−1+i1−i1−i−1+i−1−i1+i000000000000
χ2822-2-2−2i−2i2i2i00-22002i−2i00−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000000000022-2-2−2i−2i2i2i00-22002i−2i00−1−i1+i1−i−1+i−1+i1−i1+i−1−i000000000000
χ292-2-222-22-22-2002-2000000000000i2−i2i2−i2i2−i2i2−i200002-2-222-22-22-2002-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ302-2-222-22-22-2002-2000000000000−i2i2−i2i2−i2i2−i2i200002-2-222-22-22-2002-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ312-2-222-22-2-2200-220000000000002−22−2−22−2200002-2-222-22-2-2200-220000000000002−22−2−22−220000
χ322-2-222-22-2-2200-22000000000000−22−222−22−200002-2-222-22-2-2200-22000000000000−22−222−22−20000
χ332-2-22-22-222-200-22000000000000i2−i2−i2i2i2−i2−i2i200002-2-22-22-222-200-22000000000000i2−i2−i2i2i2−i2−i2i20000
χ342-2-22-22-222-200-22000000000000−i2i2i2−i2−i2i2i2−i200002-2-22-22-222-200-22000000000000−i2i2i2−i2−i2i2i2−i20000
χ352-2-22-22-22-22002-20000000000002−2−22−222−200002-2-22-22-22-22002-20000000000002−2−22−222−20000
χ362-2-22-22-22-22002-2000000000000−222−22−2−2200002-2-22-22-22-22002-2000000000000−222−22−2−220000
χ374-44-44i−4i−4i4i0000000000000000000000000000004-44-44i−4i−4i4i000000000000000000000000000000
χ384-44-4−4i4i4i−4i0000000000000000000000000000004-44-4−4i4i4i−4i000000000000000000000000000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ41111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ42111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4311111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11
χ4411111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-11-11-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-11-1
χ4511111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i−i−i−i−iiiii1-11-1
χ4611111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11
χ471111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-111-1-11-1-11-1-1-1-11111-1-11111-1-1-11-1-111-1-111-1-111-1-111-111-1
χ481111-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-111-1-111-111-1-1-1-1-11111-1-11111-1-1-11-1-111-1-11111-1-111-1-11-1-11
χ491111-1-1-1-111-1-1-1-1111-1-1-111-1-11111-1-111-1-1-111-1-1-1-1-11111-1-11111-1-1-1111-1-111-1-1-1-111-1-1111-1-11
χ501111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-111-1-1111-1-11-1-1-1-11111-1-11111-1-1-1111-1-111-1-111-1-111-1-1-111-1
χ511111-1-1-1-1-1-11111-1-11-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1-1-1111111-1-1-1-111-11−i−iiiii−i−i−i−iiiii−i−i-1-111
χ521111-1-1-1-1-1-11111-1-11-1ii−i−i−i−iii−i−iiiii−i−i-1-111-1-1-1-1111111-1-1-1-111-11−i−iiiii−i−iii−i−i−i−iii11-1-1
χ531111-1-1-1-1-1-11111-1-11-1−i−iiiii−i−iii−i−i−i−iii-1-111-1-1-1-1111111-1-1-1-111-11ii−i−i−i−iii−i−iiiii−i−i11-1-1
χ541111-1-1-1-1-1-11111-1-11-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1-1-1111111-1-1-1-111-11ii−i−i−i−iiiii−i−i−i−iii-1-111
χ552222222222-2-222-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000000
χ5622222222-2-222-2-222-2-200000000000000000000-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000
χ572222-2-2-2-22222-2-2-2-2-2200000000000000000000-2-2-2-22222-2-2-2-222222-200000000000000000000
χ582222-2-2-2-2-2-2-2-22222-2200000000000000000000-2-2-2-222222222-2-2-2-22-200000000000000000000
χ5922-2-22i2i−2i−2i002-2002i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000000-2-222−2i−2i2i2i00-2200−2i2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000000
χ6022-2-22i2i−2i−2i002-2002i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000000-2-222−2i−2i2i2i00-2200−2i2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000000
χ6122-2-22i2i−2i−2i00-2200−2i2i001−i−1+i−1−i1+i1+i−1−i−1+i1−i000000000000-2-222−2i−2i2i2i002-2002i−2i00−1+i1−i1+i−1−i−1−i1+i1−i−1+i000000000000
χ6222-2-22i2i−2i−2i00-2200−2i2i00−1+i1−i1+i−1−i−1−i1+i1−i−1+i000000000000-2-222−2i−2i2i2i002-2002i−2i001−i−1+i−1−i1+i1+i−1−i−1+i1−i000000000000
χ6322-2-2−2i−2i2i2i002-200−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000000000-2-2222i2i−2i−2i00-22002i−2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000000000
χ6422-2-2−2i−2i2i2i002-200−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000000000-2-2222i2i−2i−2i00-22002i−2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000000000
χ6522-2-2−2i−2i2i2i00-22002i−2i001+i−1−i−1+i1−i1−i−1+i−1−i1+i000000000000-2-2222i2i−2i−2i002-200−2i2i00−1−i1+i1−i−1+i−1+i1−i1+i−1−i000000000000
χ6622-2-2−2i−2i2i2i00-22002i−2i00−1−i1+i1−i−1+i−1+i1−i1+i−1−i000000000000-2-2222i2i−2i−2i002-200−2i2i001+i−1−i−1+i1−i1−i−1+i−1−i1+i000000000000
χ672-2-222-22-22-2002-2000000000000i2−i2i2−i2i2−i2i2−i20000-222-2-22-22-2200-22000000000000−i2i2−i2i2−i2i2−i2i20000
χ682-2-222-22-22-2002-2000000000000−i2i2−i2i2−i2i2−i2i20000-222-2-22-22-2200-22000000000000i2−i2i2−i2i2−i2i2−i20000
χ692-2-222-22-2-2200-220000000000002−22−2−22−220000-222-2-22-222-2002-2000000000000−22−222−22−20000
χ702-2-222-22-2-2200-22000000000000−22−222−22−20000-222-2-22-222-2002-20000000000002−22−2−22−220000
χ712-2-22-22-222-200-22000000000000i2−i2−i2i2i2−i2−i2i20000-222-22-22-2-22002-2000000000000−i2i2i2−i2−i2i2i2−i20000
χ722-2-22-22-222-200-22000000000000−i2i2i2−i2−i2i2i2−i20000-222-22-22-2-22002-2000000000000i2−i2−i2i2i2−i2−i2i20000
χ732-2-22-22-22-22002-20000000000002−2−22−222−20000-222-22-22-22-200-22000000000000−222−22−2−220000
χ742-2-22-22-22-22002-2000000000000−222−22−2−220000-222-22-22-22-200-220000000000002−2−22−222−20000
χ754-44-44i−4i−4i4i000000000000000000000000000000-44-44−4i4i4i−4i000000000000000000000000000000
χ764-44-4−4i4i4i−4i000000000000000000000000000000-44-444i−4i−4i4i000000000000000000000000000000

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