Finite Group Databasebeta

← Group #8978

Character table — Group #8978

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888444444448888888822
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
χ91-11-1-111-111-11-1-1-11ii−i−i111-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1ii−i−i1-1
χ101-11-1-111-111-11-1-1-11ii−i−i111-1-1-1−i−i−i−iiiiii−i1-1ii−i−i-1-111−i−iii-11
χ111-11-1-111-111-11-1-1-11ii−i−i1-1-111-1iiii−i−i−i−ii−i-11−i−iii11-1-1−i−iii-11
χ121-11-1-111-111-11-1-1-11ii−i−i1-1-111-1−i−i−i−iiiiii−i-11−i−iii-1-111ii−i−i1-1
χ131-11-1-111-111-11-1-1-11−i−iii111-1-1-1iiii−i−i−i−i−ii1-1−i−iii-1-111ii−i−i-11
χ141-11-1-111-111-11-1-1-11−i−iii111-1-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1−i−iii1-1
χ151-11-1-111-111-11-1-1-11−i−iii1-1-111-1iiii−i−i−i−i−ii-11ii−i−i-1-111−i−iii1-1
χ161-11-1-111-111-11-1-1-11−i−iii1-1-111-1−i−i−i−iiiii−ii-11ii−i−i11-1-1ii−i−i-11
χ1722222222222-2-2-22-22222-20000-200000000-2-20000000000000000
χ1822222222222-2-2-22-2-2-2-2-2-20000-200000000220000000000000000
χ1922222222-2-2-2222-220000-22222-20000000000-2-200000000000000
χ2022222222-2-2-2222-220000-2-2-2-2-2-200000000002200000000000000
χ2122222222-2-2-2-2-2-2-2-200002000020000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-20000200002000000000000-22-220000000000
χ232222-2-2-2-22-2-2000202-22-2000000i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i2000000
χ242222-2-2-2-22-2-2000202-22-2000000−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i2000000
χ252222-2-2-2-22-2-200020-22-22000000i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i2000000
χ262222-2-2-2-22-2-200020-22-22000000−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i2000000
χ2722-2-2-22-2200022-20-2000002i−2i2i−2i02−22−22−22−2000000000000i2−i2i2−i200
χ2822-2-2-22-2200022-20-2000002i−2i2i−2i0−22−22−22−22000000000000−i2i2−i2i200
χ2922-2-2-22-2200022-20-200000−2i2i−2i2i02−22−22−22−2000000000000−i2i2−i2i200
χ3022-2-2-22-2200022-20-200000−2i2i−2i2i0−22−22−22−22000000000000i2−i2i2−i200
χ312-22-22-2-222-22000-202i−2i−2i2i00000022−2−2−2−22200000000−i2i2i2−i2000000
χ322-22-22-2-222-22000-202i−2i−2i2i000000−2−22222−2−200000000i2−i2−i2i2000000
χ332-22-22-2-222-22000-20−2i2i2i−2i00000022−2−2−2−22200000000i2−i2−i2i2000000
χ342-22-22-2-222-22000-20−2i2i2i−2i000000−2−22222−2−200000000−i2i2i2−i2000000
χ352-22-2-222-222-2-222-2-22i2i−2i−2i-20000200000000−2i2i0000000000000000
χ362-22-2-222-222-2-222-2-2−2i−2i2i2i-200002000000002i−2i0000000000000000
χ372-22-2-222-2-2-222-2-2220000-222-2-220000000000-2200000000000000
χ382-22-2-222-2-2-222-2-2220000-2-2-222200000000002-200000000000000
χ392-22-2-222-2-2-22-2222-2000020000-20000000000002i−2i−2i2i0000000000
χ402-22-2-222-2-2-22-2222-2000020000-2000000000000−2i2i2i−2i0000000000
χ412-2-2222-2-20002-220-2000002i−2i−2i2i0i2−i2i2−i2−i2i2−i2i2000000000000−222−200
χ422-2-2222-2-20002-220-2000002i−2i−2i2i0−i2i2−i2i2i2−i2i2−i20000000000002−2−2200
χ432-2-2222-2-20002-220-200000−2i2i2i−2i0i2−i2i2−i2−i2i2−i2i20000000000002−2−2200
χ442-2-2222-2-20002-220-200000−2i2i2i−2i0−i2i2−i2i2i2−i2i2−i2000000000000−222−200
χ454444-4-4-4-4-444000-40000000000000000000000000000000000000
χ4644-4-44-44-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4744-4-44-44-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ4844-4-4-44-44000-4-4404000000000000000000000000000000000000
χ494-44-44-4-44-44-400040000000000000000000000000000000000000
χ504-4-4444-4-4000-44-404000000000000000000000000000000000000
χ514-4-44-4-4440000000000000000002-2-22-222-2000000000000000000
χ524-4-44-4-444000000000000000000-222-22-2-22000000000000000000

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