Finite Group Databasebeta

← Group #32901

Character table — Group #32901

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222222222442222222222224444444444444444444444444
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ6111111111111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ91111111111-1-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1
χ101111111111-1-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-111-11-11-11
χ111111111111-1-111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-11111-1-11-1-11-11
χ121111111111-1-111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-111-1-111-111-11-1
χ131111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-111-1-11
χ141111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1111-1-111-1
χ151111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-11111-1-111-1-1-11-111-1
χ161111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1111-11-1-11
χ17222222-2-2-2-2220000000022-2-22-2-200000000-2-2220000000000
χ18222222-2-2-2-22200000000-2-2222-2-20000000022-2-20000000000
χ19222222-2-2-2-2-2-2000000002222-22200000000-2-2-2-20000000000
χ20222222-2-2-2-2-2-200000000-2-2-2-2-2220000000022220000000000
χ212222-2-222-2-222000022-2-20000-22-20000-2-22200000000000000
χ222222-2-222-2-2220000-2-2220000-22-2000022-2-200000000000000
χ232222-2-222-2-2-2-20000222200002-220000-2-2-2-200000000000000
χ242222-2-222-2-2-2-20000-2-2-2-200002-220000222200000000000000
χ252222-2-2-2-2222222-2-200000000-2-22-2-222000000000000000000
χ262222-2-2-2-22222-2-22200000000-2-2222-2-2000000000000000000
χ272222-2-2-2-222-2-222220000000022-2-2-2-2-2000000000000000000
χ282222-2-2-2-222-2-2-2-2-2-20000000022-22222000000000000000000
χ292-2-222-22-22-200002-2002-22-200000002-2002-22-2000000000000
χ302-2-222-22-22-200002-200-22-2200000002-200-22-22000000000000
χ312-2-222-22-22-20000-22002-2-220000000-22002-2-22000000000000
χ322-2-222-22-22-20000-2200-222-20000000-2200-222-2000000000000
χ332-2-222-2-22-22002-2002-2002-2000002-2002-200-22000000000000
χ342-2-222-2-22-22002-200-2200-22000002-200-22002-2000000000000
χ352-2-222-2-22-2200-22002-200-2200000-22002-2002-2000000000000
χ362-2-222-2-22-2200-2200-22002-200000-2200-2200-22000000000000
χ372-2-22-222-2-22002-200002-2002-2000-220000-22002-20000000000
χ382-2-22-222-2-22002-20000-2200-22000-2200002-200-220000000000
χ392-2-22-222-2-2200-2200002-200-220002-20000-2200-220000000000
χ402-2-22-222-2-2200-220000-22002-20002-200002-2002-20000000000
χ412-2-22-22-222-200002-22-20000-2200000-22-2200002-20000000000
χ422-2-22-22-222-200002-2-2200002-200000-222-20000-220000000000
χ432-2-22-22-222-20000-222-200002-2000002-2-220000-220000000000
χ442-2-22-22-222-20000-22-220000-22000002-22-200002-20000000000
χ454-44-40000004i−4i0000000000000000000000000002-22i−2i000000
χ464-44-40000004i−4i000000000000000000000000000-22−2i2i000000
χ474-44-4000000−4i4i0000000000000000000000000002-2−2i2i000000
χ484-44-4000000−4i4i000000000000000000000000000-222i−2i000000
χ4988-8-8000000000000000000000000000000000000000000000

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