Finite Group Databasebeta

← Group #8976

Character table — Group #8976

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888224444448888888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91-11-1-11-111-1-111-11-1ii−i−i11-1-11-1iiii−i−i−i−i1-1i−iii−i−i11-1-1ii−i−i1-1
χ101-11-1-11-111-1-111-11-1ii−i−i11-1-11-1−i−i−i−iiiii1-1i−iii−i−i-1-111−i−iii-11
χ111-11-1-11-111-1-111-11-1ii−i−i-1-1111-1iiii−i−i−i−i-11i−i−i−iii11-1-1−i−iii-11
χ121-11-1-11-111-1-111-11-1ii−i−i-1-1111-1−i−i−i−iiiii-11i−i−i−iii-1-111ii−i−i1-1
χ131-11-1-11-111-1-111-11-1−i−iii11-1-11-1iiii−i−i−i−i1-1−ii−i−iii-1-111ii−i−i-11
χ141-11-1-11-111-1-111-11-1−i−iii11-1-11-1−i−i−i−iiiii1-1−ii−i−iii11-1-1−i−iii1-1
χ151-11-1-11-111-1-111-11-1−i−iii-1-1111-1iiii−i−i−i−i-11−iiii−i−i-1-111−i−iii1-1
χ161-11-1-11-111-1-111-11-1−i−iii-1-1111-1−i−i−i−iiiii-11−iiii−i−i11-1-1ii−i−i-11
χ1722222222222-2-2-22-200002222-2-200000000-2-20000000000000000
χ1822222222222-2-2-22-20000-2-2-2-2-2-200000000220000000000000000
χ1922222222-2-2-2222-2222220000-2-20000000000-2-200000000000000
χ2022222222-2-2-2222-22-2-2-2-20000-2-200000000002200000000000000
χ2122222222-2-2-2-2-2-2-2-200000000220000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-20000000022000000000000-22-220000000000
χ23222-2-2-22-2-22-20002000002i−2i2i−2i00i2i2−i2−i2i2i2−i2−i20000000000002−22−200
χ24222-2-2-22-2-22-20002000002i−2i2i−2i00−i2−i2i2i2−i2−i2i2i2000000000000−22−2200
χ25222-2-2-22-2-22-2000200000−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i2000000000000−22−2200
χ26222-2-2-22-2-22-2000200000−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i20000000000002−22−200
χ2722-22-22-2-20002-2-2022i−2i2i−2i0000002−22−22−22−200000000i2−i2i2−i2000000
χ2822-22-22-2-20002-2-2022i−2i2i−2i000000−22−22−22−2200000000−i2i2−i2i2000000
χ2922-22-22-2-20002-2-202−2i2i−2i2i0000002−22−22−22−200000000−i2i2−i2i2000000
χ3022-22-22-2-20002-2-202−2i2i−2i2i000000−22−22−22−2200000000i2−i2i2−i2000000
χ312-2222-2-2-2-2-220002000002i−2i−2i2i0022−2−2−2−222000000000000−i2i2i2−i200
χ322-2222-2-2-2-2-220002000002i−2i−2i2i00−2−22222−2−2000000000000i2−i2−i2i200
χ332-2222-2-2-2-2-22000200000−2i2i2i−2i0022−2−2−2−222000000000000i2−i2−i2i200
χ342-2222-2-2-2-2-22000200000−2i2i2i−2i00−2−22222−2−2000000000000−i2i2i2−i200
χ352-22-2-22-222-2-2-2-2222000022-2-2-2200000000-220000000000000000
χ362-22-2-22-222-2-2-2-22220000-2-222-22000000002-20000000000000000
χ372-22-2-22-22-22222-2-2-22i2i−2i−2i0000-220000000000−2i2i00000000000000
χ382-22-2-22-22-22222-2-2-2−2i−2i2i2i0000-2200000000002i−2i00000000000000
χ392-22-2-22-22-222-2-22-22000000002-20000000000002i−2i−2i2i0000000000
χ402-22-2-22-22-222-2-22-22000000002-2000000000000−2i2i2i−2i0000000000
χ412-2-2-2222-20002-220-22-2-22000000i2−i2i2−i2−i2i2−i2i200000000−i2i2i2−i2000000
χ422-2-2-2222-20002-220-22-2-22000000−i2i2−i2i2i2−i2i2−i200000000i2−i2−i2i2000000
χ432-2-2-2222-20002-220-2-222-2000000i2−i2i2−i2−i2i2−i2i200000000i2−i2−i2i2000000
χ442-2-2-2222-20002-220-2-222-2000000−i2i2−i2i2i2−i2i2−i200000000−i2i2i2−i2000000
χ45444-4-4-44-44-44000-40000000000000000000000000000000000000
χ4644-44-44-4-4000-4440-4000000000000000000000000000000000000
χ4744-4-44-4-440000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4844-4-44-4-44000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ494-4444-4-4-444-4000-40000000000000000000000000000000000000
χ504-4-44-4-4440000000000000000002-2-22-222-2000000000000000000
χ514-4-44-4-444000000000000000000-222-22-2-22000000000000000000
χ524-4-4-4444-4000-44-404000000000000000000000000000000000000

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