Finite Group Databasebeta

← Group #2850

Character table — Group #2850

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111222222222222222222222222222288888888
order12222222222244444444444444444444444422444444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11
χ5111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-1-11
χ6111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-111-1
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111
χ911111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1-1
χ1011111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111
χ1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-11-11
χ1211111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-11-1
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1111-1
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-11
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ17222-2-2-2-2200002i2i−2i−2i00002i2i−2i−2i000022-2-2000000000000
χ18222-2-2-2-2200002i2i−2i−2i0000−2i−2i2i2i0000-2-222000000000000
χ19222-2-2-2-220000−2i−2i2i2i00002i2i−2i−2i0000-2-222000000000000
χ20222-2-2-2-220000−2i−2i2i2i0000−2i−2i2i2i000022-2-2000000000000
χ2122-222-2-2-2000000002i2i−2i−2i2-22-2000000002i2i−2i−2i00000000
χ2222-222-2-2-2000000002i2i−2i−2i-22-2200000000−2i−2i2i2i00000000
χ2322-222-2-2-200000000−2i−2i2i2i2-22-200000000−2i−2i2i2i00000000
χ2422-222-2-2-200000000−2i−2i2i2i-22-22000000002i2i−2i−2i00000000
χ2522-2-2-222-222-2-2000000002i−2i−2i2i2i2i−2i−2i0000000000000000
χ2622-2-2-222-222-2-200000000−2i2i2i−2i−2i−2i2i2i0000000000000000
χ2722-2-2-222-2-2-222000000002i−2i−2i2i−2i−2i2i2i0000000000000000
χ2822-2-2-222-2-2-22200000000−2i2i2i−2i2i2i−2i−2i0000000000000000
χ292-222-22-2-200002-22-2000000002i−2i2i−2i00002i−2i2i−2i00000000
χ302-222-22-2-200002-22-200000000−2i2i−2i2i0000−2i2i−2i2i00000000
χ312-222-22-2-20000-22-22000000002i−2i2i−2i0000−2i2i−2i2i00000000
χ322-222-22-2-20000-22-2200000000−2i2i−2i2i00002i−2i2i−2i00000000
χ332-22-22-22-22-22-22i−2i−2i2i2i−2i2i−2i000000000000000000000000
χ342-22-22-22-22-22-2−2i2i2i−2i−2i2i−2i2i000000000000000000000000
χ352-22-22-22-2-22-222i−2i−2i2i−2i2i−2i2i000000000000000000000000
χ362-22-22-22-2-22-22−2i2i2i−2i2i−2i2i−2i000000000000000000000000
χ372-2-22-2-2222-2-2200000000000000002-22-22-2-2200000000
χ382-2-22-2-2222-2-220000000000000000-22-22-222-200000000
χ392-2-22-2-222-222-200000000000000002-22-2-222-200000000
χ402-2-22-2-222-222-20000000000000000-22-222-2-2200000000
χ412-2-2-222-22000000002-2-2200002-2-22-222-2000000000000
χ422-2-2-222-22000000002-2-220000-222-22-2-22000000000000
χ432-2-2-222-2200000000-222-200002-2-222-2-22000000000000
χ442-2-2-222-2200000000-222-20000-222-2-222-2000000000000

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