Finite Group Databasebeta

← Group #8975

Character table — Group #8975

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
χ311111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ91-1-11-11-1111-11-1-1-11ii−i−i11-1-11-1iiii−i−i−i−ii−iii−i−i1-111-1-1ii−i−i1-1
χ101-1-11-11-1111-11-1-1-11ii−i−i11-1-11-1−i−i−i−iiiiii−iii−i−i1-1-1-111−i−iii-11
χ111-1-11-11-1111-11-1-1-11ii−i−i-1-1111-1iiii−i−i−i−ii−i−i−iii-1111-1-1−i−iii-11
χ121-1-11-11-1111-11-1-1-11ii−i−i-1-1111-1−i−i−i−iiiiii−i−i−iii-11-1-111ii−i−i1-1
χ131-1-11-11-1111-11-1-1-11−i−iii11-1-11-1iiii−i−i−i−i−ii−i−iii1-1-1-111ii−i−i-11
χ141-1-11-11-1111-11-1-1-11−i−iii11-1-11-1−i−i−i−iiiii−ii−i−iii1-111-1-1−i−iii1-1
χ151-1-11-11-1111-11-1-1-11−i−iii-1-1111-1iiii−i−i−i−i−iiii−i−i-11-1-111−i−iii1-1
χ161-1-11-11-1111-11-1-1-11−i−iii-1-1111-1−i−i−i−iiiii−iiii−i−i-1111-1-1ii−i−i-11
χ1722222222222-2-2-22-222220000-2-200000000-2-20000000000000000
χ1822222222222-2-2-22-2-2-2-2-20000-2-200000000220000000000000000
χ1922222222-2-2-2222-2200002222-2-200000000000000-2-20000000000
χ2022222222-2-2-2222-220000-2-2-2-2-2-200000000000000220000000000
χ2122222222-2-2-2-2-2-2-2-2000000002200000000002-22-2000000000000
χ2222222222-2-2-2-2-2-2-2-200000000220000000000-22-22000000000000
χ23222-2-22-2-200022-20-200002-22-20022−2−222−2−20000000000002−22−200
χ24222-2-22-2-200022-20-200002-22-200−2−222−2−222000000000000−22−2200
χ25222-2-22-2-200022-20-20000-22-220022−2−222−2−2000000000000−22−2200
χ26222-2-22-2-200022-20-20000-22-2200−2−222−2−2220000000000002−22−200
χ2722-222-2-2-22-22000-202-22-20000002−22−22−22−2000000002−22−2000000
χ2822-222-2-2-22-22000-202-22-2000000−22−22−22−2200000000−22−22000000
χ2922-222-2-2-22-22000-20-22-220000002−22−22−22−200000000−22−22000000
χ3022-222-2-2-22-22000-20-22-22000000−22−22−22−22000000002−22−2000000
χ312-222-2-22-22-2-2000202i−2i−2i2i000000i2−i2i2−i2−i2i2−i2i2000000002−2−22000000
χ322-222-2-22-22-2-2000202i−2i−2i2i000000−i2i2−i2i2i2−i2i2−i200000000−222−2000000
χ332-222-2-22-22-2-200020−2i2i2i−2i000000i2−i2i2−i2−i2i2−i2i200000000−222−2000000
χ342-222-2-22-22-2-200020−2i2i2i−2i000000−i2i2−i2i2i2−i2i2−i2000000002−2−22000000
χ352-2-22-22-2222-2-222-2-22i2i−2i−2i0000-2200000000−2i2i0000000000000000
χ362-2-22-22-2222-2-222-2-2−2i−2i2i2i0000-22000000002i−2i0000000000000000
χ372-2-22-22-22-2-222-2-222000022-2-2-2200000000000000-220000000000
χ382-2-22-22-22-2-222-2-2220000-2-222-22000000000000002-20000000000
χ392-2-22-22-22-2-22-2222-2000000002-200000000002i−2i−2i2i000000000000
χ402-2-22-22-22-2-22-2222-2000000002-20000000000−2i2i2i−2i000000000000
χ412-2-2-2222-20002-220-200002-2-2200i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ422-2-2-2222-20002-220-200002-2-2200−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ432-2-2-2222-20002-220-20000-222-200i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ442-2-2-2222-20002-220-20000-222-200−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ45444-4-44-4-4000-4-4404000000000000000000000000000000000000
χ4644-444-4-4-4-44-400040000000000000000000000000000000000000
χ4744-4-4-4-4440000000000000000002-2-222-2-22000000000000000000
χ4844-4-4-4-444000000000000000000-222-2-222-2000000000000000000
χ494-444-4-44-4-444000-40000000000000000000000000000000000000
χ504-44-44-4-440000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ514-44-44-4-44000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ524-4-4-4444-4000-44-404000000000000000000000000000000000000

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