Finite Group Databasebeta

← Group #8425

Character table — Group #8425

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444442244444444444444444448888888888
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111-1-1-1-1111-111-111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111-1-1-1-1111-111-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ8111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ91111-1-111-1-1-1-111-1-111-111-1-11-111-1-1ii−i−iii−i−iii−i−ii−i
χ101111-1-111-1-1-1-111-1-111-111-1-11-111-1-1−i−iii−i−iii−i−iii−ii
χ111111-1-111-1-1-1-111-1-111-11-11-1-11-1-111ii−i−i−i−iii−i−iiii−i
χ121111-1-111-1-1-1-111-1-111-11-11-1-11-1-111−i−iiiii−i−iii−i−i−ii
χ131111-1-111-1-1-1-1-1-11111-1-11-111-1-1-111ii−i−i−i−iiiii−i−i−ii
χ141111-1-111-1-1-1-1-1-11111-1-11-111-1-1-111−i−iiiii−i−i−i−iiii−i
χ151111-1-111-1-1-1-1-1-11111-1-1-111-1111-1-1ii−i−iii−i−i−i−iii−ii
χ161111-1-111-1-1-1-1-1-11111-1-1-111-1111-1-1−i−iii−i−iiiii−i−ii−i
χ17222222222-22-22222-2-2-2-200-200000000000000000000
χ18222222222-22-2-2-2-2-2-2-2-2200200000000000000000000
χ19222222-2-2-22-220000-22-20000002-22-200000000000000
χ20222222-2-2-22-220000-22-2000000-22-2200000000000000
χ21222222-2-2-2-2-2-200002-2202-20-22000000000000000000
χ22222222-2-2-2-2-2-200002-220-2202-2000000000000000000
χ232222-2-222-22-2222-2-2-2-22-200200000000000000000000
χ242222-2-222-22-22-2-222-2-22200-200000000000000000000
χ252222-2-2-2-2222200002-2-20220-2-2000000000000000000
χ262222-2-2-2-2222200002-2-20-2-2022000000000000000000
χ272222-2-2-2-22-22-20000-2220000002-2-2200000000000000
χ282222-2-2-2-22-22-20000-222000000-222-200000000000000
χ2922-2-22-22-220-202-22-2000000000000000002−22−22−22−200
χ3022-2-22-22-220-202-22-200000000000000000−22−22−22−2200
χ3122-2-22-22-220-20-22-22000000000000000002−22−2−22−2200
χ3222-2-22-22-220-20-22-2200000000000000000−22−222−22−200
χ3322-2-2-222-2-20202-2-2200000000000000000i2−i2−i2i2i2−i2−i2i200
χ3422-2-2-222-2-20202-2-2200000000000000000−i2i2i2−i2−i2i2i2−i200
χ3522-2-2-222-2-2020-222-200000000000000000i2−i2−i2i2−i2i2i2−i200
χ3622-2-2-222-2-2020-222-200000000000000000−i2i2i2−i2i2−i2−i2i200
χ3744-4-44-4-44-40400000000000000000000000000000000
χ3844-4-4-44-4440-400000000000000000000000000000000
χ394-4-440000040-4000000000000000002i−2i2i−2i0000000000
χ404-4-440000040-400000000000000000−2i2i−2i2i0000000000
χ414-4-4400000-404000000000000000002-2-220000000000
χ424-4-4400000-40400000000000000000-222-20000000000
χ438-88-8000000000000000000000000000000000000000

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