Finite Group Databasebeta

← Group #26721

Character table — Group #26721

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444224444444488888888224444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ51111111111111111-1-111-1-111111111111111-111-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ9111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1
χ10111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-11111-1-1-11
χ11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-111111-1-1-1-1-1-111-11
χ12111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-111-1-11-1
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-11-1-1-11111-1-111-1-1-11
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1111-111-1-1-1-1-1-1111-1
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-11-1
χ16111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-111-11
χ1722222222-22222-2-2-222-2-22200000000000000-200-2000000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-2000000000000002002000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000000200-2000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2222200000000000000-2002000000000000
χ2122-2-2-222-222i2i−2i−2i-2-22002i−2i002i2i−2i−2i000000002-20000000000000000
χ2222-2-2-222-222i2i−2i−2i-2-22002i−2i00−2i−2i2i2i00000000-220000000000000000
χ2322-2-2-222-22−2i−2i2i2i-2-2200−2i2i002i2i−2i−2i00000000-220000000000000000
χ2422-2-2-222-22−2i−2i2i2i-2-2200−2i2i00−2i−2i2i2i000000002-20000000000000000
χ2522-2-2-222-2-22i2i−2i−2i22-200−2i2i000000000000000000002-2002i−2i000000
χ2622-2-2-222-2-22i2i−2i−2i22-200−2i2i00000000000000000000-2200−2i2i000000
χ2722-2-2-222-2-2−2i−2i2i2i22-2002i−2i000000000000000000002-200−2i2i000000
χ2822-2-2-222-2-2−2i−2i2i2i22-2002i−2i00000000000000000000-22002i−2i000000
χ292-222-22-2-202i−2i2i−2i0002-2002i−2i0000i2i2−i2−i222−2−20000000000002−2i2−i200
χ302-222-22-2-202i−2i2i−2i0002-2002i−2i0000−i2−i2i2i2−2−222000000000000−22−i2i200
χ312-222-22-2-202i−2i2i−2i000-2200−2i2i0000i2i2−i2−i222−2−2000000000000−22−i2i200
χ322-222-22-2-202i−2i2i−2i000-2200−2i2i0000−i2−i2i2i2−2−2220000000000002−2i2−i200
χ332-222-22-2-20−2i2i−2i2i0002-200−2i2i0000i2i2−i2−i2−2−222000000000000−22i2−i200
χ342-222-22-2-20−2i2i−2i2i0002-200−2i2i0000−i2−i2i2i222−2−20000000000002−2−i2i200
χ352-222-22-2-20−2i2i−2i2i000-22002i−2i0000i2i2−i2−i2−2−2220000000000002−2−i2i200
χ362-222-22-2-20−2i2i−2i2i000-22002i−2i0000−i2−i2i2i222−2−2000000000000−22i2−i200
χ372-22-2-2-222200002-2-20000002-22-22i−2i2i−2i0000000000002i−2i00000000
χ382-22-2-2-222200002-2-20000002-22-2−2i2i−2i2i000000000000−2i2i00000000
χ392-22-2-2-222200002-2-2000000-22-222i−2i2i−2i000000000000−2i2i00000000
χ402-22-2-2-222200002-2-2000000-22-22−2i2i−2i2i0000000000002i−2i00000000
χ412-2-222-22-220000-22-20000002i−2i−2i2i00002i−2i2i−2i0002-20000000000000
χ422-2-222-22-220000-22-20000002i−2i−2i2i0000−2i2i−2i2i000-220000000000000
χ432-2-222-22-220000-22-2000000−2i2i2i−2i00002i−2i2i−2i000-220000000000000
χ442-2-222-22-220000-22-2000000−2i2i2i−2i0000−2i2i−2i2i0002-20000000000000
χ45444-44-4-4-400000000000000000022−22−22220000000000000000000000
χ46444-44-4-4-4000000000000000000−222222−220000000000000000000000
χ4744-44-4-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4844-44-4-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ494-44-4-4-444-40000-444000000000000000000000000000000000000
χ504-4-444-44-4-400004-44000000000000000000000000000000000000
χ514-4-4-444-4404-4-44000000000000000000000000000000000000000
χ524-4-4-444-440-444-4000000000000000000000000000000000000000

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