Finite Group Databasebeta

← Group #8920

Character table — Group #8920

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888222244448888888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ91-1111-1-1-111-1-1-1-1111ii−i−iii−i−i-1iiii−i−i−i−i11-1-1i−ii−i11-1-111-1-1i−i
χ101-1111-1-1-111-1-1-1-1111ii−i−iii−i−i-1−i−i−i−iiiii11-1-1i−ii−i-1-111-1-111−ii
χ111-1111-1-1-111-1-1-1-1111ii−i−i−i−iii-1iiii−i−i−i−i-1-111i−i−ii11-1-1-1-111−ii
χ121-1111-1-1-111-1-1-1-1111ii−i−i−i−iii-1−i−i−i−iiiii-1-111i−i−ii-1-11111-1-1i−i
χ131-1111-1-1-111-1-1-1-1111−i−iiiii−i−i-1iiii−i−i−i−i-1-111−iii−i-1-11111-1-1−ii
χ141-1111-1-1-111-1-1-1-1111−i−iiiii−i−i-1−i−i−i−iiiii-1-111−iii−i11-1-1-1-111i−i
χ151-1111-1-1-111-1-1-1-1111−i−iii−i−iii-1iiii−i−i−i−i11-1-1−ii−ii-1-111-1-111i−i
χ161-1111-1-1-111-1-1-1-1111−i−iii−i−iii-1−i−i−i−iiiii11-1-1−ii−ii11-1-111-1-1−ii
χ17222222222-222-2-22-2-200002222-200000000000000-2-20000000000
χ18222222222-222-2-22-2-20000-2-2-2-2-200000000000000220000000000
χ1922222222-22-2-222-22-222220000-2000000000000-2-2000000000000
χ2022222222-22-2-222-22-2-2-2-2-20000-200000000000022000000000000
χ2122222222-2-2-2-2-2-2-2-22000000002000000002-22-200000000000000
χ2222222222-2-2-2-2-2-2-2-2200000000200000000-22-2200000000000000
χ23222-2-22-2-20-2002-20202i−2i2i−2i00000i2i2−i2−i2i2i2−i2−i2000000002−22−2000000
χ24222-2-22-2-20-2002-20202i−2i2i−2i00000−i2−i2i2i2−i2−i2i2i200000000−22−22000000
χ25222-2-22-2-20-2002-2020−2i2i−2i2i00000i2i2−i2−i2i2i2−i2−i200000000−22−22000000
χ26222-2-22-2-20-2002-2020−2i2i−2i2i00000−i2−i2i2i2−i2−i2i2i2000000002−22−2000000
χ2722-22-2-22-2-202-20020000002i−2i2i−2i0i2−i2i2−i2i2−i2i2−i20000000000002−22−200
χ2822-22-2-22-2-202-20020000002i−2i2i−2i0−i2i2−i2i2−i2i2−i2i2000000000000−22−2200
χ2922-22-2-22-2-202-2002000000−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i2000000000000−22−2200
χ3022-22-2-22-2-202-2002000000−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i20000000000002−22−200
χ312-2222-2-2-22-2-2-2222-2-200002i2i−2i−2i200000000000000−2i2i0000000000
χ322-2222-2-2-22-2-2-2222-2-20000−2i−2i2i2i2000000000000002i−2i0000000000
χ332-2222-2-2-2-2222-2-2-22-22i2i−2i−2i00002000000000000−2i2i000000000000
χ342-2222-2-2-2-2222-2-2-22-2−2i−2i2i2i000020000000000002i−2i000000000000
χ352-2222-2-2-2-2-22222-2-2200000000-2000000002-2-2200000000000000
χ362-2222-2-2-2-2-22222-2-2200000000-200000000-222-200000000000000
χ372-22-2-2-2220-200-220202-2-220000022−2−2−2−222000000002−2−22000000
χ382-22-2-2-2220-200-220202-2-2200000−2−22222−2−200000000−222−2000000
χ392-22-2-2-2220-200-22020-222-20000022−2−2−2−22200000000−222−2000000
χ402-22-2-2-2220-200-22020-222-200000−2−22222−2−2000000002−2−22000000
χ412-2-22-22-22-20-220020000002-2-2202−22−2−22−220000000000002−2−2200
χ422-2-22-22-22-20-220020000002-2-220−22−222−22−2000000000000−222−200
χ432-2-22-22-22-20-22002000000-222-202−22−2−22−22000000000000−222−200
χ442-2-22-22-22-20-22002000000-222-20−22−222−22−20000000000002−2−2200
χ45444-4-44-4-40400-440-4000000000000000000000000000000000000
χ4644-44-4-44-440-4400-40000000000000000000000000000000000000
χ4744-4-44-4-440000000000000000002-2-222-2-22000000000000000000
χ4844-4-44-4-44000000000000000000-222-2-222-2000000000000000000
χ494-44-4-4-44404004-40-4000000000000000000000000000000000000
χ504-4-44-44-44404-400-40000000000000000000000000000000000000
χ514-4-4-4444-40000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ524-4-4-4444-4000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000

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