Finite Group Databasebeta

← Group #11367

Character table — Group #11367

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222444422222244444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91-1-11-1-111111-1-1-111-1-11-1iiii−i−i−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−i
χ101-1-11-1-111111-1-1-111-1-11-1iiii−i−i−i−iii−i−i−i−iii11-1-1-1-111-1-111−i−iii
χ111-1-11-1-111111-1-1-111-1-11-1iiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1-1-111−i−iii
χ121-1-11-1-111111-1-1-111-1-11-1iiii−i−i−i−i−i−iii−i−iii-1-111-1-11111-1-1ii−i−i
χ131-1-11-1-111111-1-1-111-1-11-1−i−i−i−iiiiiii−i−iii−i−i-1-111-1-11111-1-1−i−iii
χ141-1-11-1-111111-1-1-111-1-11-1−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1-1-111ii−i−i
χ151-1-11-1-111111-1-1-111-1-11-1−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111-1-111ii−i−i
χ161-1-11-1-111111-1-1-111-1-11-1−i−i−i−iiiii−i−iii−i−iii11-1-111-1-111-1-1−i−iii
χ17222222222-2-22-2-22-22-2-2-20000000000002i−2i2i−2i0000000000000000
χ18222222222-2-22-2-22-22-2-2-2000000000000−2i2i−2i2i0000000000000000
χ1922222222-22-2-22-2-22-22-2-2000000002i−2i2i−2i00000000000000000000
χ2022222222-22-2-22-2-22-22-2-200000000−2i2i−2i2i00000000000000000000
χ2122222222-2-22-2-22-2-2-2-2220000000000000000000000002-22-20000
χ2222222222-2-22-2-22-2-2-2-222000000000000000000000000-22-220000
χ232222-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000002i−2i2i−2i
χ242222-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000−2i2i−2i2i
χ252222-2-2-2-22-2-22-2-2-22-222200000000000000002i−2i2i−2i000000000000
χ262222-2-2-2-22-2-22-2-2-22-22220000000000000000−2i2i−2i2i000000000000
χ272222-2-2-2-2-22-2-22-22-22-222000000000000000000002i−2i2i−2i00000000
χ282222-2-2-2-2-22-2-22-22-22-22200000000000000000000−2i2i−2i2i00000000
χ292222-2-2-2-2-2-22-2-222222-2-222-2-222-2-2000000000000000000000000
χ302222-2-2-2-2-2-22-2-222222-2-2-2-222-2-222000000000000000000000000
χ312-2-2222-2-2222-2-2-2-2-222-2200000000000000000000000000002-2-22
χ322-2-2222-2-2222-2-2-2-2-222-220000000000000000000000000000-222-2
χ332-2-2222-2-22-2-2-222-222-22-200000000000000002i−2i−2i2i000000000000
χ342-2-2222-2-22-2-2-222-222-22-20000000000000000−2i2i2i−2i000000000000
χ352-2-2222-2-2-22-22-222-2-222-2000000000000000000002i−2i−2i2i00000000
χ362-2-2222-2-2-22-22-222-2-222-200000000000000000000−2i2i2i−2i00000000
χ372-2-2222-2-2-2-2222-222-2-2-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ382-2-2222-2-2-2-2222-222-2-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ392-2-22-2-2222-2-2-2222-2-22-220000000000002-2-220000000000000000
χ402-2-22-2-2222-2-2-2222-2-22-22000000000000-222-20000000000000000
χ412-2-22-2-222-22-22-22-222-2-22000000002-2-2200000000000000000000
χ422-2-22-2-222-22-22-22-222-2-2200000000-222-200000000000000000000
χ432-2-22-2-222-2-2222-2-2-2222-20000000000000000000000002-2-220000
χ442-2-22-2-222-2-2222-2-2-2222-2000000000000000000000000-222-20000
χ4544-4-44i−4i4i−4i0000000000002-22i−2i2-22i−2i000000000000000000000000
χ4644-4-44i−4i4i−4i000000000000-22−2i2i-22−2i2i000000000000000000000000
χ4744-4-4−4i4i−4i4i0000000000002-2−2i2i2-2−2i2i000000000000000000000000
χ4844-4-4−4i4i−4i4i000000000000-222i−2i-222i−2i000000000000000000000000
χ494-44-44i−4i−4i4i0000000000002i−2i2-2−2i2i-22000000000000000000000000
χ504-44-44i−4i−4i4i000000000000−2i2i-222i−2i2-2000000000000000000000000
χ514-44-4−4i4i4i−4i0000000000002i−2i-22−2i2i2-2000000000000000000000000
χ524-44-4−4i4i4i−4i000000000000−2i2i2-22i−2i-22000000000000000000000000

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