Finite Group Databasebeta

← Group #19907

Character table — Group #19907

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1111222222224444444444444448888888888161616161616
order1222444488884444488888888882244448888444488
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1
χ311111111111111-1-11-1-111-1-1-1-1-1-111-111111-1-111-1-1-1-1
χ411111111111111-1-11-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111
χ5111111111111-1-1111-1-111-1-1-1-1-1-1111-111-1-111-1-111-1-1
χ6111111111111-1-1111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ911111111-1-1-1-11111111-1-111-1-1-1-11-1111-1-1-1-1-11-11-11-1
χ1011111111-1-1-1-11111111-1-111-1-1-1-1-1111-11-1-1-1-1-11-11-11
χ1111111111-1-1-1-111-1-11-1-1-1-1-1-111111-1-111-1-1-1111-1-11-11
χ1211111111-1-1-1-111-1-11-1-1-1-1-1-11111-11-11-11-1-111-111-11-1
χ1311111111-1-1-1-1-1-1111-1-1-1-1-1-111111-11-11-111-1-1-111-1-11
χ1411111111-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-1111-1-11-1-111-1
χ1511111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-1-11-11111-11-111-1
χ1611111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11-1-1-1111111-11-1-11
χ1722222-22-222220000-200-2-20000002200-2-20000000000
χ1822222-22-222220000-200-2-2000000-2-200220000000000
χ1922222-22-2-2-2-2-20000-200220000002-200-220000000000
χ2022222-22-2-2-2-2-20000-20022000000-22002-20000000000
χ212222-22-2200002222-2-2-20022000000-2-2000000000000
χ222222-22-22000022-2-2-22200-2-20000002-2000000000000
χ232222-22-220000-2-222-22200-2-2000000-22000000000000
χ242222-22-220000-2-2-2-2-2-2-2002200000022000000000000
χ252-2-22020-222−2−22i−2i2-20002−22i−2ii2i2−i2−i2000000i2−i22−2000000
χ262-2-22020-222−2−22i−2i-220002−2−2i2i−i2−i2i2i2000000i2−i2−22000000
χ272-2-22020-222−2−2−2i2i2-20002−2−2i2i−i2−i2i2i2000000−i2i22−2000000
χ282-2-22020-222−2−2−2i2i-220002−22i−2ii2i2−i2−i2000000−i2i2−22000000
χ292-2-22020-2−2−2222i−2i2-2000−222i−2i−i2−i2i2i2000000−i2i2−22000000
χ302-2-22020-2−2−2222i−2i-22000−22−2i2ii2i2−i2−i2000000−i2i22−2000000
χ312-2-22020-2−2−222−2i2i2-2000−22−2i2ii2i2−i2−i2000000i2−i2−22000000
χ322-2-22020-2−2−222−2i2i-22000−222i−2i−i2−i2i2i2000000i2−i22−2000000
χ334444-4-4-4-400000000400000000000000000000000000
χ3444-4-4000022−2222−220000022−2200002-22-20000000000000000
χ3544-4-4000022−2222−2200000−22220000-22-220000000000000000
χ3644-4-40000−2222−22220000022−220000-22-220000000000000000
χ3744-4-40000−2222−222200000−222200002-22-20000000000000000
χ384-44-440-404-4-440000000000000000000000000000000
χ394-44-440-40-444-40000000000000000000000000000000
χ404-44-4-40400000000000000002i2−2i2−2i22i20000000000000000
χ414-44-4-4040000000000000000−2i22i22i2−2i20000000000000000
χ424-4-440-4042222−22−220000000−22220000000000000000000000
χ434-4-440-404−22−222222000000022−220000000000000000000000

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