Finite Group Databasebeta

← Group #1990

Character table — Group #1990

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111222222222222222222222222222288888888
order12222222444444444444888888888888888844444444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91-1-1-111-111111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-1
χ101-1-1-111-111111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11
χ111-1-1-111-111111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11
χ121-1-1-111-111111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-1
χ131-1-1-111-1111-1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11
χ141-1-1-111-1111-1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1
χ151-1-1-111-1111-1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1
χ161-1-1-111-1111-1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11
χ1722222222-2-22222-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-2-2-22222-2-2000000000000000000000000
χ19222-22-2-2-2002-22-200000022−2−222−2−222−2−222−2−200000000
χ20222-22-2-2-2002-22-2000000−2−222−2−222−2−222−2−22200000000
χ21222-22-2-2-200-22-2200000022−2−222−2−2−2−222−2−22200000000
χ22222-22-2-2-200-22-22000000−2−222−2−22222−2−222−2−200000000
χ2322-22-22-2-22-2000000002-2000000002-22-22-22-200000000
χ2422-22-22-2-22-2000000002-200000000-22-22-22-2200000000
χ2522-22-22-2-2-2200000000-222-22-22-22-20000000000000000
χ2622-22-22-2-2-2200000000-22-22-22-22-220000000000000000
χ2722-2-2-2-2220000002-22-2002−2−222−2−222−2−222−2−2200000000
χ2822-2-2-2-2220000002-22-200−222−2−222−2−222−2−222−200000000
χ2922-2-2-2-222000000-22-22002−2−222−2−22−222−2−222−200000000
χ3022-2-2-2-222000000-22-2200−222−2−222−22−2−222−2−2200000000
χ312-222-2-2-220000002-2-2200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ322-222-2-2-220000002-2-2200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ332-222-2-2-22000000-222-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ342-222-2-2-22000000-222-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ352-22-2-222-22-200000000-22000000002i−2i2i−2i−2i2i−2i2i00000000
χ362-22-2-222-22-200000000-2200000000−2i2i−2i2i2i−2i2i−2i00000000
χ372-22-2-222-2-22000000002-22i−2i2i−2i−2i2i−2i2i0000000000000000
χ382-22-2-222-2-22000000002-2−2i2i−2i2i2i−2i2i−2i0000000000000000
χ392-2-222-22-2002-2-22000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ402-2-222-22-2002-2-22000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ412-2-222-22-200-222-2000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ422-2-222-22-200-222-2000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ432-2-2-222-22-2-222-2-2-2-22222000000000000000000000000
χ442-2-2-222-22-2-2-2-22222-2-222000000000000000000000000

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