Finite Group Databasebeta

← Group #8987

Character table — Group #8987

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
χ3111111111111111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
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
χ71111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91-1-11-11-1111-11-1-1-11ii−i−i111-1-1-1iiii−i−i−i−i1-1i−iii−i−i11-1-1ii−i−i1-1
χ101-1-11-11-1111-11-1-1-11ii−i−i111-1-1-1−i−i−i−iiiii1-1i−iii−i−i-1-111−i−iii-11
χ111-1-11-11-1111-11-1-1-11ii−i−i1-1-111-1iiii−i−i−i−i-11i−i−i−iii11-1-1−i−iii-11
χ121-1-11-11-1111-11-1-1-11ii−i−i1-1-111-1−i−i−i−iiiii-11i−i−i−iii-1-111ii−i−i1-1
χ131-1-11-11-1111-11-1-1-11−i−iii111-1-1-1iiii−i−i−i−i1-1−ii−i−iii-1-111ii−i−i-11
χ141-1-11-11-1111-11-1-1-11−i−iii111-1-1-1−i−i−i−iiiii1-1−ii−i−iii11-1-1−i−iii1-1
χ151-1-11-11-1111-11-1-1-11−i−iii1-1-111-1iiii−i−i−i−i-11−iiii−i−i-1-111−i−iii1-1
χ161-1-11-11-1111-11-1-1-11−i−iii1-1-111-1−i−i−i−iiiii-11−iiii−i−i11-1-1ii−i−i-11
χ1722222222222-2-2-22-22222-20000-20000000000-2-200000000000000
χ1822222222222-2-2-22-2-2-2-2-2-20000-200000000002200000000000000
χ1922222222-2-2-2222-220000-22222-200000000-2-20000000000000000
χ2022222222-2-2-2222-220000-2-2-2-2-2-200000000220000000000000000
χ2122222222-2-2-2-2-2-2-2-200002000020000000000002-22-20000000000
χ2222222222-2-2-2-2-2-2-2-20000200002000000000000-22-220000000000
χ23222-2-2-2-22000-22-202000002-22-20i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ24222-2-2-2-22000-22-202000002-22-20−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ25222-2-2-2-22000-22-20200000-22-220i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ26222-2-2-2-22000-22-20200000-22-220−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200
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−2i-2000020000000000−2i2i00000000000000
χ362-2-22-22-2222-2-222-2-2−2i−2i2i2i-20000200000000002i−2i00000000000000
χ372-2-22-22-22-2-222-2-2220000-222-2-2200000000-220000000000000000
χ382-2-22-22-22-2-222-2-2220000-2-2-2222000000002-20000000000000000
χ392-2-22-22-22-2-22-2222-2000020000-20000000000002i−2i−2i2i0000000000
χ402-2-22-22-22-2-22-2222-2000020000-2000000000000−2i2i2i−2i0000000000
χ412-2-2-22-222000-2-2202000002-2-22022−2−2−2−2220000000000002−2−2200
χ422-2-2-22-222000-2-2202000002-2-220−2−22222−2−2000000000000−222−200
χ432-2-2-22-222000-2-220200000-222-2022−2−2−2−222000000000000−222−200
χ442-2-2-22-222000-2-220200000-222-20−2−22222−2−20000000000002−2−2200
χ45444-4-4-4-440004-440-4000000000000000000000000000000000000
χ4644-444-4-4-4-44-400040000000000000000000000000000000000000
χ4744-4-4-444-40000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4844-4-4-444-4000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ494-444-4-44-4-444000-40000000000000000000000000000000000000
χ504-44-444-4-40000000000000000002-2-22-222-2000000000000000000
χ514-44-444-4-4000000000000000000-222-22-2-22000000000000000000
χ524-4-4-44-44400044-40-4000000000000000000000000000000000000

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