Finite Group Databasebeta

← Group #25458

Character table — Group #25458

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888224444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111111111111-111-1-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1-1-1-1-111-1-1-1-111-11
χ121111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1111111-1-11-1
χ131111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1111111-1-1-11
χ141111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-1111-1
χ151111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-111-1-111-1-1111-1
χ161111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-1-111-1-1-11
χ1722222222-2-22222-2-200002222-2-20000000000-200-2000000000000
χ1822222222-2-22222-2-20000-2-2-2-2-2-200000000002002000000000000
χ1922222222-2-2-2-2-2-2-2-2000022-2-2220000000000200-2000000000000
χ2022222222-2-2-2-2-2-2-2-20000-2-222220000000000-2002000000000000
χ212222-2-2-2-22-200002-222-2-200000022-2-200002-20000000000000000
χ222222-2-2-2-22-200002-222-2-2000000-2-2220000-220000000000000000
χ232222-2-2-2-22-200002-2-2-22200000022-2-20000-220000000000000000
χ242222-2-2-2-22-200002-2-2-222000000-2-22200002-20000000000000000
χ252-22-222-2-22-20000-222i−2i2i−2i000000000022-2-200000000002i−2i000000
χ262-22-222-2-22-20000-222i−2i2i−2i0000000000-2-2220000000000−2i2i000000
χ272-22-222-2-22-20000-22−2i2i−2i2i000000000022-2-20000000000−2i2i000000
χ282-22-222-2-22-20000-22−2i2i−2i2i0000000000-2-22200000000002i−2i000000
χ292-22-2-2-2222222-2-2-2-22i−2i−2i2i00002-2000000000002i−2i0000000000000
χ302-22-2-2-2222222-2-2-2-2−2i2i2i−2i00002-200000000000−2i2i0000000000000
χ312-22-2-2-22222-2-222-2-22i−2i−2i2i0000-2200000000000−2i2i0000000000000
χ322-22-2-2-22222-2-222-2-2−2i2i2i−2i0000-22000000000002i−2i0000000000000
χ332-22-2-2-222-2-222-2-22200000000-22000000000000002-22-200000000
χ342-22-2-2-222-2-222-2-22200000000-2200000000000000-22-2200000000
χ352-22-2-2-222-2-2-2-22222000000002-2000000000000002-2-2200000000
χ362-22-2-2-222-2-2-2-22222000000002-200000000000000-222-200000000
χ372-2-222-22-2002i−2i2i−2i0000002-22i−2i002−22−2i2−i2i2−i20000000000002−2i2−i200
χ382-2-222-22-2002i−2i2i−2i0000002-22i−2i00−22−22−i2i2−i2i2000000000000−22−i2i200
χ392-2-222-22-2002i−2i2i−2i000000-22−2i2i002−22−2i2−i2i2−i2000000000000−22−i2i200
χ402-2-222-22-2002i−2i2i−2i000000-22−2i2i00−22−22−i2i2−i2i20000000000002−2i2−i200
χ412-2-222-22-200−2i2i−2i2i0000002-2−2i2i002−22−2−i2i2−i2i20000000000002−2−i2i200
χ422-2-222-22-200−2i2i−2i2i0000002-2−2i2i00−22−22i2−i2i2−i2000000000000−22i2−i200
χ432-2-222-22-200−2i2i−2i2i000000-222i−2i002−22−2−i2i2−i2i2000000000000−22i2−i200
χ442-2-222-22-200−2i2i−2i2i000000-222i−2i00−22−22i2−i2i2−i20000000000002−2−i2i200
χ454444-4-4-4-4-440000-44000000000000000000000000000000000000
χ4644-4-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4744-4-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ4844-4-4-444-4004i−4i−4i4i00000000000000000000000000000000000000
χ4944-4-4-444-400−4i4i4i−4i00000000000000000000000000000000000000
χ504-44-444-4-4-4400004-4000000000000000000000000000000000000
χ514-4-44-44-4400000000000000000022−22−22220000000000000000000000
χ524-4-44-44-44000000000000000000−222222−220000000000000000000000

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