Finite Group Databasebeta

← Group #8927

Character table — Group #8927

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888444444448888888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91-111-1-11-111-1-1-1-111ii−i−i1ii−i−i-1iiii−i−i−i−ii−ii−i11-1-111-1-111-1-1i−i
χ101-111-1-11-111-1-1-1-111ii−i−i1ii−i−i-1−i−i−i−iiiiii−ii−i11-1-1-1-111-1-111−ii
χ111-111-1-11-111-1-1-1-111ii−i−i1−i−iii-1iiii−i−i−i−ii−i−ii-1-11111-1-1-1-111−ii
χ121-111-1-11-111-1-1-1-111ii−i−i1−i−iii-1−i−i−i−iiiiii−i−ii-1-111-1-11111-1-1i−i
χ131-111-1-11-111-1-1-1-111−i−iii1ii−i−i-1iiii−i−i−i−i−iii−i-1-111-1-11111-1-1−ii
χ141-111-1-11-111-1-1-1-111−i−iii1ii−i−i-1−i−i−i−iiiii−iii−i-1-11111-1-1-1-111i−i
χ151-111-1-11-111-1-1-1-111−i−iii1−i−iii-1iiii−i−i−i−i−ii−ii11-1-1-1-111-1-111i−i
χ161-111-1-11-111-1-1-1-111−i−iii1−i−iii-1−i−i−i−iiiii−ii−ii11-1-111-1-111-1-1−ii
χ17222222222-222-2-22-20000-22222-20000000000-2-200000000000000
χ18222222222-222-2-22-20000-2-2-2-2-2-200000000002200000000000000
χ1922222222-22-2-222-222222-20000-200000000-2-20000000000000000
χ2022222222-22-2-222-22-2-2-2-2-20000-200000000220000000000000000
χ2122222222-2-2-2-2-2-2-2-200002000020000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-20000200002000000000000-22-220000000000
χ23222-22-2-2-202002-20-22-22-200000022−2−222−2−2000000002−22−2000000
χ24222-22-2-2-202002-20-22-22-2000000−2−222−2−22200000000−22−22000000
χ25222-22-2-2-202002-20-2-22-2200000022−2−222−2−200000000−22−22000000
χ26222-22-2-2-202002-20-2-22-22000000−2−222−2−222000000002−22−2000000
χ2722-22-2-2-22-202-20020000002-22-20i2−i2i2−i2i2−i2i2−i2000000000000i2−i2i2−i200
χ2822-22-2-2-22-202-20020000002-22-20−i2i2−i2i2−i2i2−i2i2000000000000−i2i2−i2i200
χ2922-22-2-2-22-202-2002000000-22-220i2−i2i2−i2i2−i2i2−i2000000000000−i2i2−i2i200
χ3022-22-2-2-22-202-2002000000-22-220−i2i2−i2i2−i2i2−i2i2000000000000i2−i2i2−i200
χ312-222-2-22-22-2-2-2222-20000-22i2i−2i−2i20000000000−2i2i00000000000000
χ322-222-2-22-22-2-2-2222-20000-2−2i−2i2i2i200000000002i−2i00000000000000
χ332-222-2-22-2-2222-2-2-222i2i−2i−2i-20000200000000−2i2i0000000000000000
χ342-222-2-22-2-2222-2-2-22−2i−2i2i2i-200002000000002i−2i0000000000000000
χ352-222-2-22-2-2-22222-2-2000020000-20000000000002-2-220000000000
χ362-222-2-22-2-2-22222-2-2000020000-2000000000000-222-20000000000
χ372-22-2-22-220200-220-22i−2i−2i2i000000i2i2−i2−i2−i2−i2i2i2000000002−2−22000000
χ382-22-2-22-220200-220-22i−2i−2i2i000000−i2−i2i2i2i2i2−i2−i200000000−222−2000000
χ392-22-2-22-220200-220-2−2i2i2i−2i000000i2i2−i2−i2−i2−i2i2i200000000−222−2000000
χ402-22-2-22-220200-220-2−2i2i2i−2i000000−i2−i2i2i2i2i2−i2−i2000000002−2−22000000
χ412-2-2222-2-2-20-220020000002i−2i−2i2i02−22−2−22−22000000000000−i2i2i2−i200
χ422-2-2222-2-2-20-220020000002i−2i−2i2i0−22−222−22−2000000000000i2−i2−i2i200
χ432-2-2222-2-2-20-22002000000−2i2i2i−2i02−22−2−22−22000000000000i2−i2−i2i200
χ442-2-2222-2-2-20-22002000000−2i2i2i−2i0−22−222−22−2000000000000−i2i2i2−i200
χ45444-44-4-4-40-400-4404000000000000000000000000000000000000
χ4644-44-4-4-4440-4400-40000000000000000000000000000000000000
χ4744-4-4-444-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4844-4-4-444-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ494-44-4-44-440-4004-404000000000000000000000000000000000000
χ504-4-4444-4-4404-400-40000000000000000000000000000000000000
χ514-4-4-44-4440000000000000000002-2-22-222-2000000000000000000
χ524-4-4-44-444000000000000000000-222-22-2-22000000000000000000

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