Finite Group Databasebeta

← Group #25201

Character table — Group #25201

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444224444444488888888444444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-111-111-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1
χ91111111111-1-1-1-111-1-111-1-111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1
χ101111111111-1-1-1-111-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-11
χ111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-111-11
χ121111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-11-1
χ131111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-111-1-111-1-1-11
χ141111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1111-1
χ151111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1-11111-1-11-1
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-11111111-1-1-1-1-1-111-11
χ1722222222-2-22222-2-2-2-22222000000000000-200-200000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-2000000000000200200000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2000000000000-200200000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-222000000000000200-200000000000000
χ21222-2-2-22-22-20000-220000002i2i−2i−2i22-2-2000002i−2i000000000000000
χ22222-2-2-22-22-20000-220000002i2i−2i−2i-2-22200000−2i2i000000000000000
χ23222-2-2-22-22-20000-22000000−2i−2i2i2i22-2-200000−2i2i000000000000000
χ24222-2-2-22-22-20000-22000000−2i−2i2i2i-2-222000002i−2i000000000000000
χ2522-2-22-2-22002i2i−2i−2i00002i−2i2-200002−22−2i2i2−i2−i20000000000002−2i2−i200
χ2622-2-22-2-22002i2i−2i−2i00002i−2i2-20000−22−22−i2−i2i2i2000000000000−22−i2i200
χ2722-2-22-2-22002i2i−2i−2i0000−2i2i-2200002−22−2i2i2−i2−i2000000000000−22−i2i200
χ2822-2-22-2-22002i2i−2i−2i0000−2i2i-220000−22−22−i2−i2i2i20000000000002−2i2−i200
χ2922-2-22-2-2200−2i−2i2i2i00002i−2i-2200002−22−2−i2−i2i2i2000000000000−22i2−i200
χ3022-2-22-2-2200−2i−2i2i2i00002i−2i-220000−22−22i2i2−i2−i20000000000002−2−i2i200
χ3122-2-22-2-2200−2i−2i2i2i0000−2i2i2-200002−22−2−i2−i2i2i20000000000002−2−i2i200
χ3222-2-22-2-2200−2i−2i2i2i0000−2i2i2-20000−22−22i2i2−i2−i2000000000000−22i2−i200
χ332-2-22-2-222222-22-2-2-22-200002i−2i2i−2i0000000000002i−2i000000000000
χ342-2-22-2-222222-22-2-2-22-20000−2i2i−2i2i000000000000−2i2i000000000000
χ352-2-22-2-22222-22-22-2-2-2200002i−2i2i−2i000000000000−2i2i000000000000
χ362-2-22-2-22222-22-22-2-2-220000−2i2i−2i2i0000000000002i−2i000000000000
χ372-2-22-2-222-2-22-22-222-2200000000000000000000002-22-200000000
χ382-2-22-2-222-2-22-22-222-220000000000000000000000-22-2200000000
χ392-2-22-2-222-2-2-22-22222-200000000000000000000002-2-2200000000
χ402-2-22-2-222-2-2-22-22222-20000000000000000000000-222-200000000
χ412-2-2-2222-22-200002-20000002-2-2200002i−2i2i−2i00000000002i−2i000000
χ422-2-2-2222-22-200002-20000002-2-220000−2i2i−2i2i0000000000−2i2i000000
χ432-2-2-2222-22-200002-2000000-222-200002i−2i2i−2i0000000000−2i2i000000
χ442-2-2-2222-22-200002-2000000-222-20000−2i2i−2i2i00000000002i−2i000000
χ45444-4-4-44-4-4400004-4000000000000000000000000000000000000
χ4644-44-44-4-400000000000000000022−22−22220000000000000000000000
χ4744-44-44-4-4000000000000000000−222222−220000000000000000000000
χ484-4444-4-4-4000000000000000000000022−22−2222000000000000000000
χ494-4444-4-4-40000000000000000000000−222222−22000000000000000000
χ504-44-4-44-44004i−4i−4i4i00000000000000000000000000000000000000
χ514-44-4-44-4400−4i4i4i−4i00000000000000000000000000000000000000
χ524-4-4-4444-4-440000-44000000000000000000000000000000000000

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