Finite Group Databasebeta

← Group #8377

Character table — Group #8377

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222222222444444444444422244444888888884444
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1
χ411111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ6111111111111-1-11-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111-1-11-1-1-1-1-1-111-111-111-1-11111-1-1-1-1-1-111
χ8111111111111-1-11-1-1-1-1-1-111-111-111-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-111111-1-11111-1-1-1-1-1111-1-1ii−i−iii−i−ii−ii−i
χ10111111-1-1-1-111111-1-11111-1-1-1-1-1111-1-1−i−iii−i−iii−ii−ii
χ11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1111-1-111ii−i−iii−i−i−ii−ii
χ12111111-1-1-1-111111-1-1-1-1-1-1-1-1-1111-1-111−i−iii−i−iiii−ii−i
χ13111111-1-1-1-111-1-11111111-1-1111-1-1-1-1-1ii−i−i−i−iiii−i−ii
χ14111111-1-1-1-111-1-11111111-1-1111-1-1-1-1-1−i−iiiii−i−i−iii−i
χ15111111-1-1-1-111-1-1111-1-1-1-1-1-11-1-1-11111ii−i−i−i−iii−iii−i
χ16111111-1-1-1-111-1-1111-1-1-1-1-1-11-1-1-11111−i−iiiii−i−ii−i−ii
χ172222222222-2-222-2220000-2-2-200-20000000000000000
χ182222222222-2-2-2-2-2-2-20000-2-220020000000000000000
χ19222222-2-2-2-2-2-222-2-2-2000022200-20000000000000000
χ20222222-2-2-2-2-2-2-2-2-222000022-20020000000000000000
χ212222-2-22-22-22200-20022-2-22-20000002-2000000000000
χ222222-2-22-22-22200-200-2-2222-2000000-22000000000000
χ232222-2-22-22-2-2-2002000000-2202-202-200000000000000
χ242222-2-22-22-2-2-2002000000-220-220-2200000000000000
χ252222-2-2-22-222200-20022-2-2-22000000-22000000000000
χ262222-2-2-22-222200-200-2-222-220000002-2000000000000
χ272222-2-2-22-22-2-20020000002-202-20-2200000000000000
χ282222-2-2-22-22-2-20020000002-20-2202-200000000000000
χ292-22-22-22-2-22002i−2i02i−2i000000000000002−22−2i2−i2i2−i20000
χ302-22-22-22-2-22002i−2i02i−2i00000000000000−22−22−i2i2−i2i20000
χ312-22-22-22-2-2200−2i2i0−2i2i000000000000002−22−2−i2i2−i2i20000
χ322-22-22-22-2-2200−2i2i0−2i2i00000000000000−22−22i2−i2i2−i20000
χ332-22-22-2-222-2002i−2i0−2i2i00000000000000i2−i2−i2i2−222−20000
χ342-22-22-2-222-2002i−2i0−2i2i00000000000000−i2i2i2−i22−2−220000
χ352-22-22-2-222-200−2i2i02i−2i00000000000000i2−i2−i2i22−2−220000
χ362-22-22-2-222-200−2i2i02i−2i00000000000000−i2i2i2−i2−222−20000
χ374-44-4-4444-4-4000000000000000000000000000000000
χ384-44-4-44-4-444000000000000000000000000000000000
χ394-4-440000004-400000004-40000000000000000000000
χ404-4-440000004-40000000-440000000000000000000000
χ414-4-44000000-44000004-4000000000000000000000000
χ424-4-44000000-4400000-44000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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