Finite Group Databasebeta

← Group #24976

Character table — Group #24976

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444224444444488888888244444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1-1-111
χ51111111111111111-1-1111111-1-111111111-1-1-11111-1-1-111-1-1-1-1-1-1
χ61111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ71111111111111111-1-111-1-1-1-1-1-111111111-111-1-1-1-111-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1111111-1-1
χ911111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-111-1-1111-1-111-1-11-1
χ1011111111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-111111-1-1-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-11-1-1-1-1111-1
χ1311111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-11
χ1411111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-11111-1-11-1
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-111-1-1111-1
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111111-1-1-111-1-1-11
χ17222222222222-2-2-2-222-2-200002200000000-200000000-200000000
χ18222222222222-2-2-2-2-2-2-2-20000-2-200000000200000000200000000
χ1922222222-2-2-2-2-2-2-2-222220000-2-200000000200000000-200000000
χ2022222222-2-2-2-2-2-2-2-2-2-22200002200000000-200000000200000000
χ2122-2-22-2-2222-2-22-2-22002-22i2i−2i−2i0000000000000002i−2i00000000000
χ2222-2-22-2-2222-2-22-2-22002-2−2i−2i2i2i000000000000000−2i2i00000000000
χ2322-2-22-2-2222-2-2-222-200-220000000000000002i−2i00002i−2i000000000
χ2422-2-22-2-2222-2-2-222-200-22000000000000000−2i2i0000−2i2i000000000
χ2522-2-22-2-22-2-2222-2-2200-222i2i−2i−2i000000000000000−2i2i00000000000
χ2622-2-22-2-22-2-2222-2-2200-22−2i−2i2i2i0000000000000002i−2i00000000000
χ2722-2-22-2-22-2-222-222-2002-20000000000000002i−2i0000−2i2i000000000
χ2822-2-22-2-22-2-222-222-2002-2000000000000000−2i2i00002i−2i000000000
χ292-22-222-2-22i−2i2i−2i00002-20000002i−2i22−2−2i2i2−i2−i20000000000002−2i2−i200
χ302-22-222-2-22i−2i2i−2i00002-20000002i−2i−2−222−i2−i2i2i2000000000000−22−i2i200
χ312-22-222-2-22i−2i2i−2i0000-22000000−2i2i22−2−2i2i2−i2−i2000000000000−22−i2i200
χ322-22-222-2-22i−2i2i−2i0000-22000000−2i2i−2−222−i2−i2i2i20000000000002−2i2−i200
χ332-22-222-2-2−2i2i−2i2i00002-2000000−2i2i22−2−2−i2−i2i2i20000000000002−2−i2i200
χ342-22-222-2-2−2i2i−2i2i00002-2000000−2i2i−2−222i2i2−i2−i2000000000000−22i2−i200
χ352-22-222-2-2−2i2i−2i2i0000-220000002i−2i22−2−2−i2−i2i2i2000000000000−22i2−i200
χ362-22-222-2-2−2i2i−2i2i0000-220000002i−2i−2−222i2i2−i2−i20000000000002−2−i2i200
χ372-22-2-2-222000022-2-200002i−2i2i−2i0000002i−2i2i−2i00000000002-2000000
χ382-22-2-2-222000022-2-200002i−2i2i−2i000000−2i2i−2i2i0000000000-22000000
χ392-22-2-2-222000022-2-20000−2i2i−2i2i0000002i−2i2i−2i0000000000-22000000
χ402-22-2-2-222000022-2-20000−2i2i−2i2i000000−2i2i−2i2i00000000002-2000000
χ412-2-22-22-2200002-22-200002-2-22002i−2i2i−2i00000002i−2i0000000000000
χ422-2-22-22-2200002-22-200002-2-2200−2i2i−2i2i0000000−2i2i0000000000000
χ432-2-22-22-2200002-22-20000-222-2002i−2i2i−2i0000000−2i2i0000000000000
χ442-2-22-22-2200002-22-20000-222-200−2i2i−2i2i00000002i−2i0000000000000
χ454444-4-4-4-4000000000000000000000022−22−2222000000000000000000
χ464444-4-4-4-40000000000000000000000−222222−22000000000000000000
χ4744-4-4-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ4844-4-4-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ494-44-4-4-4440000-4-444000000000000000000000000000000000000
χ504-4-444-44-44i−4i−4i4i0000000000000000000000000000000000000000
χ514-4-444-44-4−4i4i4i−4i0000000000000000000000000000000000000000
χ524-4-44-44-440000-44-44000000000000000000000000000000000000

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