Finite Group Databasebeta

← Group #9821

Character table — Group #9821

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111111112222222222222222222222222222222222222222222222222222222222221616161616161616
order1222222244444444444488888888888888888888888888888888888888888888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ91-1-11-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−i1-11-1
χ101-1-11-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii-11-11
χ111-1-11-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−i-11-11
χ121-1-11-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii1-11-1
χ131-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii1-1-11
χ141-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i-111-1
χ151-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii-111-1
χ161-1-11-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i1-1-11
χ172222222222-2-2-2-222-2-2-2-2000000000000000000000000000000002222-2-2-2-22222-2-2-2-200000000
χ182222222222-2-2-2-222-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2-2-2222200000000
χ1922222222-2-222-2-2-2-2-2-22200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000
χ2022222222-2-222-2-2-2-2-2-2220000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000
χ2122222222-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ2222222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ232222-2-2-2-22-200002-2000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000022-2-2000022-2-200000000
χ242222-2-2-2-22-200002-2000022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−2220000-2-2220000-2-22200000000
χ252222-2-2-2-22-200002-20000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−20000-2-2220000-2-22200000000
χ262222-2-2-2-22-200002-20000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000022-2-2000022-2-200000000
χ272222-2-2-2-2-220000-22000022−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222-2-2000022-2-2000000000000
χ282222-2-2-2-2-220000-22000022−2−2−2−22222−2−2−2−222−2−22222−2−2−2−22222−2−2-2-2220000-2-222000000000000
χ292222-2-2-2-2-220000-220000−2−22222−2−2−2−22222−2−222−2−2−2−22222−2−2−2−222-2-2220000-2-222000000000000
χ302222-2-2-2-2-220000-220000−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−222-2-2000022-2-2000000000000
χ3122-2-22-22-200002-2002-20000002i−2i2i−2i00002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−22−22−200000000
χ3222-2-22-22-200002-2002-20000002i−2i2i−2i00002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−22−22−2200000000
χ3322-2-22-22-200002-2002-2000000−2i2i−2i2i0000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−22−22−2200000000
χ3422-2-22-22-200002-2002-2000000−2i2i−2i2i0000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−22−22−200000000
χ3522-2-22-22-20000-2200-22002i−2i2i−2i00002i−2i2i−2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22−22−2−22−222−22−2−22−2200000000
χ3622-2-22-22-20000-2200-22002i−2i2i−2i00002i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−22−222−22−2−22−222−22−200000000
χ3722-2-22-22-20000-2200-2200−2i2i−2i2i0000−2i2i−2i2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−22−222−22−2−22−222−22−200000000
χ3822-2-22-22-20000-2200-2200−2i2i−2i2i0000−2i2i−2i2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22−22−2−22−222−22−2−22−2200000000
χ3922-2-2-22-22002-20000002-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200002i−2i−2i2i00002i−2i−2i2i2−2−222−2−222−2−222−2−2200000000
χ4022-2-2-22-22002-20000002-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000−2i2i2i−2i0000−2i2i2i−2i−222−2−222−2−222−2−222−200000000
χ4122-2-2-22-22002-20000002-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200002i−2i−2i2i00002i−2i−2i2i−222−2−222−2−222−2−222−200000000
χ4222-2-2-22-22002-20000002-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i0000−2i2i2i−2i2−2−222−2−222−2−222−2−2200000000
χ4322-2-2-22-2200-22000000-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22i−2i−2i2i00002i−2i−2i2i00002−2−22−222−22−2−22−222−200000000
χ4422-2-2-22-2200-22000000-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i0000−2i2i2i−2i0000−222−22−2−22−222−22−2−2200000000
χ4522-2-2-22-2200-22000000-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22i−2i−2i2i00002i−2i−2i2i0000−222−22−2−22−222−22−2−2200000000
χ4622-2-2-22-2200-22000000-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i0000−2i2i2i−2i00002−2−22−222−22−2−22−222−200000000
χ472-22-22-2-22002-2000000-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200002-2-220000-222-2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ482-22-22-2-22002-2000000-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000-222-200002-2-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ492-22-22-2-22002-2000000-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200002-2-220000-222-2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ502-22-22-2-22002-2000000-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000-222-200002-2-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ512-22-22-2-2200-220000002-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22-2-220000-222-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ522-22-22-2-2200-220000002-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2-222-200002-2-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ532-22-22-2-2200-220000002-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22-2-220000-222-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ542-22-22-2-2200-220000002-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2-222-200002-2-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ552-22-2-222-200002-200-22002i−2i2i−2i0000−2i2i−2i2i00002−22−2−22−22−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ562-22-2-222-200002-200-22002i−2i2i−2i0000−2i2i−2i2i0000−22−222−22−22−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ572-22-2-222-200002-200-2200−2i2i−2i2i00002i−2i2i−2i00002−22−2−22−22−22−222−22−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ582-22-2-222-200002-200-2200−2i2i−2i2i00002i−2i2i−2i0000−22−222−22−22−22−2−22−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ592-22-2-222-20000-22002-20000002i−2i2i−2i0000−2i2i−2i2i2−22−22−22−2−22−22−22−22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ602-22-2-222-20000-22002-20000002i−2i2i−2i0000−2i2i−2i2i−22−22−22−222−22−22−22−2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ612-22-2-222-20000-22002-2000000−2i2i−2i2i00002i−2i2i−2i2−22−22−22−2−22−22−22−22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ622-22-2-222-20000-22002-2000000−2i2i−2i2i00002i−2i2i−2i−22−22−22−222−22−22−22−2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ632-2-2222-2-22-20000-22000022−2−222−2−2−2−222−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i0000−2i−2i2i2i00000000
χ642-2-2222-2-22-20000-22000022−2−222−2−2−2−222−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2i00002i2i−2i−2i00000000
χ652-2-2222-2-22-20000-220000−2−222−2−22222−2−222−2−2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i00002i2i−2i−2i00000000
χ662-2-2222-2-22-20000-220000−2−222−2−22222−2−222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200002i2i−2i−2i0000−2i−2i2i2i00000000
χ672-2-2222-2-2-2200002-2000022−2−2−2−222−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22i2i−2i−2i0000−2i−2i2i2i000000000000
χ682-2-2222-2-2-2200002-2000022−2−2−2−222−2−22222−2−2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−2i−2i2i2i00002i2i−2i−2i000000000000
χ692-2-2222-2-2-2200002-20000−2−22222−2−222−2−2−2−222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i00002i2i−2i−2i000000000000
χ702-2-2222-2-2-2200002-20000−2−22222−2−222−2−2−2−222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22i2i−2i−2i0000−2i−2i2i2i000000000000
χ712-2-22-2-22222-2-222-2-2-2-222000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000
χ722-2-22-2-22222-2-222-2-2-2-22200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000
χ732-2-22-2-222-2-2222222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ742-2-22-2-222-2-2222222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ752-2-22-2-222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ762-2-22-2-222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000

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