Finite Group Databasebeta

← Group #27331

Character table — Group #27331

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444224444444488888888444444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-111
χ51111111111111111-1-111-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111111-1-111-1-1-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1
χ911111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ1011111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-11-1-11111-1-111-1-1-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-111-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-1-11-1
χ1311111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-11
χ1411111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111-1-1-111-1-1-1-1-1-1111-1
χ1511111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1111111-1-111-1-11-1
χ1611111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-111-11
χ17222222222222-2-2-2-222-2-222000000000000-200-200000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2000000000000200200000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2000000000000200-200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000-200200000000000000
χ2122-2-2-22-222i2i−2i−2i2-2-22002i−2i0000000000000002i−2i000002-200000000
χ2222-2-2-22-222i2i−2i−2i2-2-22002i−2i000000000000000−2i2i00000-2200000000
χ2322-2-2-22-222i2i−2i−2i-222-200−2i2i0022-2-20000000000002i−2i000000000000
χ2422-2-2-22-222i2i−2i−2i-222-200−2i2i00-2-222000000000000−2i2i000000000000
χ2522-2-2-22-22−2i−2i2i2i2-2-2200−2i2i0000000000000002i−2i00000-2200000000
χ2622-2-2-22-22−2i−2i2i2i2-2-2200−2i2i000000000000000−2i2i000002-200000000
χ2722-2-2-22-22−2i−2i2i2i-222-2002i−2i0022-2-2000000000000−2i2i000000000000
χ2822-2-2-22-22−2i−2i2i2i-222-2002i−2i00-2-2220000000000002i−2i000000000000
χ292-222-22-2-20000-22-220000002i−2i2i−2i22-2-2000000000000002i−2i000000
χ302-222-22-2-20000-22-220000002i−2i2i−2i-2-22200000000000000−2i2i000000
χ312-222-22-2-20000-22-22000000−2i2i−2i2i22-2-200000000000000−2i2i000000
χ322-222-22-2-20000-22-22000000−2i2i−2i2i-2-222000000000000002i−2i000000
χ332-22-22-2-222i−2i2i−2i00002-2002i−2i00002−22−2i2i2−i2−i2000000000000i2−i22−200
χ342-22-22-2-222i−2i2i−2i00002-2002i−2i0000−22−22−i2−i2i2i2000000000000−i2i2−2200
χ352-22-22-2-222i−2i2i−2i0000-2200−2i2i00002−22−2i2i2−i2−i2000000000000−i2i2−2200
χ362-22-22-2-222i−2i2i−2i0000-2200−2i2i0000−22−22−i2−i2i2i2000000000000i2−i22−200
χ372-22-22-2-22−2i2i−2i2i00002-200−2i2i00002−22−2−i2−i2i2i2000000000000−i2i22−200
χ382-22-22-2-22−2i2i−2i2i00002-200−2i2i0000−22−22i2i2−i2−i2000000000000i2−i2−2200
χ392-22-22-2-22−2i2i−2i2i0000-22002i−2i00002−22−2−i2−i2i2i2000000000000i2−i2−2200
χ402-22-22-2-22−2i2i−2i2i0000-22002i−2i0000−22−22i2i2−i2−i2000000000000−i2i22−200
χ412-2-2-2222-2000022-2-20000002i−2i−2i2i00002i−2i2i−2i0000002-20000000000
χ422-2-2-2222-2000022-2-20000002i−2i−2i2i0000−2i2i−2i2i000000-220000000000
χ432-2-2-2222-2000022-2-2000000−2i2i2i−2i00002i−2i2i−2i000000-220000000000
χ442-2-2-2222-2000022-2-2000000−2i2i2i−2i0000−2i2i−2i2i0000002-20000000000
χ45444-4-4-44-400000000000000000022−22−22220000000000000000000000
χ46444-4-4-44-4000000000000000000−222222−220000000000000000000000
χ4744-444-4-4-4000000000000000000000022−22−2222000000000000000000
χ4844-444-4-4-40000000000000000000000−222222−22000000000000000000
χ494-444-44-4-400004-44-4000000000000000000000000000000000000
χ504-4-44-4-4444-4-440000000000000000000000000000000000000000
χ514-4-44-4-444-444-40000000000000000000000000000000000000000
χ524-4-4-4444-40000-4-444000000000000000000000000000000000000

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