Finite Group Databasebeta

← Group #8980

Character table — Group #8980

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888224444448888888822
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91-111-1-11-11-1-111-11-11ii−i−i11-1-1-1iiii−i−i−i−i1-1i−iii−i−i11-1-1ii−i−i1-1
χ101-111-1-11-11-1-111-11-11ii−i−i11-1-1-1−i−i−i−iiiii1-1i−iii−i−i-1-111−i−iii-11
χ111-111-1-11-11-1-111-11-11ii−i−i-1-111-1iiii−i−i−i−i-11i−i−i−iii11-1-1−i−iii-11
χ121-111-1-11-11-1-111-11-11ii−i−i-1-111-1−i−i−i−iiiii-11i−i−i−iii-1-111ii−i−i1-1
χ131-111-1-11-11-1-111-11-11−i−iii11-1-1-1iiii−i−i−i−i1-1−ii−i−iii-1-111ii−i−i-11
χ141-111-1-11-11-1-111-11-11−i−iii11-1-1-1−i−i−i−iiiii1-1−ii−i−iii11-1-1−i−iii1-1
χ151-111-1-11-11-1-111-11-11−i−iii-1-111-1iiii−i−i−i−i-11−iiii−i−i-1-111−i−iii1-1
χ161-111-1-11-11-1-111-11-11−i−iii-1-111-1−i−i−i−iiiii-11−iiii−i−i11-1-1ii−i−i-11
χ1722222222222-2-2-22-2-200002222-200000000-2-20000000000000000
χ1822222222222-2-2-22-2-20000-2-2-2-2-200000000220000000000000000
χ1922222222-2-2-2222-22-222220000-20000000000-2-200000000000000
χ2022222222-2-2-2222-22-2-2-2-2-20000-200000000002200000000000000
χ2122222222-2-2-2-2-2-2-2-220000000020000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-22000000002000000000000-22-220000000000
χ23222-2-2-2-2222-2000-20000002i−2i2i−2i022−2−222−2−2000000000000i2−i2i2−i200
χ24222-2-2-2-2222-2000-20000002i−2i2i−2i0−2−222−2−222000000000000−i2i2−i2i200
χ25222-2-2-2-2222-2000-2000000−2i2i−2i2i022−2−222−2−2000000000000−i2i2−i2i200
χ26222-2-2-2-2222-2000-2000000−2i2i−2i2i0−2−222−2−222000000000000i2−i2i2−i200
χ2722-2-22-22-20002-220-202i−2i2i−2i00000i2−i2i2−i2i2−i2i2−i2000000002−22−2000000
χ2822-2-22-22-20002-220-202i−2i2i−2i00000−i2i2−i2i2−i2i2−i2i200000000−22−22000000
χ2922-2-22-22-20002-220-20−2i2i−2i2i00000i2−i2i2−i2i2−i2i2−i200000000−22−22000000
χ3022-2-22-22-20002-220-20−2i2i−2i2i00000−i2i2−i2i2−i2i2−i2i2000000002−22−2000000
χ312-222-2-22-22-2-2-2-2222-2000022-2-2200000000-220000000000000000
χ322-222-2-22-22-2-2-2-2222-20000-2-2222000000002-20000000000000000
χ332-222-2-22-2-22222-2-2-2-22i2i−2i−2i000020000000000−2i2i00000000000000
χ342-222-2-22-2-22222-2-2-2-2−2i−2i2i2i0000200000000002i−2i00000000000000
χ352-222-2-22-2-222-2-22-22200000000-20000000000002i−2i−2i2i0000000000
χ362-222-2-22-2-222-2-22-22200000000-2000000000000−2i2i2i−2i0000000000
χ372-22-222-2-22-22000-20000002i−2i−2i2i0i2i2−i2−i2−i2−i2i2i2000000000000−222−200
χ382-22-222-2-22-22000-20000002i−2i−2i2i0−i2−i2i2i2i2i2−i2−i20000000000002−2−2200
χ392-22-222-2-22-22000-2000000−2i2i2i−2i0i2i2−i2−i2−i2−i2i2i20000000000002−2−2200
χ402-22-222-2-22-22000-2000000−2i2i2i−2i0−i2−i2i2i2i2i2−i2−i2000000000000−222−200
χ412-2-2-2-22220002-2-20202-2-22000002−22−2−22−22000000002−2−22000000
χ422-2-2-2-22220002-2-20202-2-2200000−22−222−22−200000000−222−2000000
χ432-2-2-2-22220002-2-2020-222-2000002−22−2−22−2200000000−222−2000000
χ442-2-2-2-22220002-2-2020-222-200000−22−222−22−2000000002−2−22000000
χ45444-4-4-4-44-4-4400040000000000000000000000000000000000000
χ4644-44-44-4-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4744-44-44-4-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ4844-4-44-44-4000-44-404000000000000000000000000000000000000
χ494-44-444-4-4-44-400040000000000000000000000000000000000000
χ504-4-444-4-440000000000000000002-2-22-222-2000000000000000000
χ514-4-444-4-44000000000000000000-222-22-2-22000000000000000000
χ524-4-4-4-4444000-4440-4000000000000000000000000000000000000

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