Finite Group Databasebeta

← Group #23767

Character table — Group #23767

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222244444444444488888888222444444444444444448888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-11111
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-11-1-111111-1-1-1-1-1-1-1-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11-111-1111111-1-1-1-111-1-1
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-111-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-111-111-1-1-1-1-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-11111-1-111-1-111-1-111-1-1
χ17222222222222-2-2-2-2-2-2-2-20000000000200-2-200200000000000000
χ18222222222222-2-2-2-2-2-2-2-20000000000-2002200-200000000000000
χ1922222222-2-2-2-22222-2-2-2-20000000000200-2200-200000000000000
χ2022222222-2-2-2-22222-2-2-2-20000000000-2002-200200000000000000
χ21222-2-2-2-222i2i−2i−2i2i2i−2i−2i22-2-20000000000000000002i−2i00002-2000000
χ22222-2-2-2-222i2i−2i−2i2i2i−2i−2i22-2-2000000000000000000−2i2i0000-22000000
χ23222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-222000000002-2000002i−2i000000000000000
χ24222-2-2-2-222i2i−2i−2i−2i−2i2i2i-2-22200000000-2200000−2i2i000000000000000
χ25222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-222000000002-200000−2i2i000000000000000
χ26222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-2-22200000000-22000002i−2i000000000000000
χ27222-2-2-2-22−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000002i−2i0000-22000000
χ28222-2-2-2-22−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000−2i2i00002-2000000
χ292-222-22-2-22-22-22-22-22-22-2000000000000000000002i−2i00002i−2i0000
χ302-222-22-2-22-22-22-22-22-22-200000000000000000000−2i2i0000−2i2i0000
χ312-222-22-2-22-22-2-22-22-22-22000000000002i−2i0000000002i−2i00000000
χ322-222-22-2-22-22-2-22-22-22-2200000000000−2i2i000000000−2i2i00000000
χ332-222-22-2-2-22-222-22-2-22-22000000000002i−2i000000000−2i2i00000000
χ342-222-22-2-2-22-222-22-2-22-2200000000000−2i2i0000000002i−2i00000000
χ352-222-22-2-2-22-22-22-222-22-2000000000000000000002i−2i0000−2i2i0000
χ362-222-22-2-2-22-22-22-222-22-200000000000000000000−2i2i00002i−2i0000
χ372-22-22-22-22i−2i−2i2i2i−2i−2i2i2-2-2222-2-22i2i−2i−2i000000000000000000000000
χ382-22-22-22-22i−2i−2i2i2i−2i−2i2i2-2-22-2-222−2i−2i2i2i000000000000000000000000
χ392-22-22-22-22i−2i−2i2i−2i2i2i−2i-222-200000000000000000000000000002i−2i2-2
χ402-22-22-22-22i−2i−2i2i−2i2i2i−2i-222-20000000000000000000000000000−2i2i-22
χ412-22-22-22-2−2i2i2i−2i2i−2i−2i2i-222-200000000000000000000000000002i−2i-22
χ422-22-22-22-2−2i2i2i−2i2i−2i−2i2i-222-20000000000000000000000000000−2i2i2-2
χ432-22-22-22-2−2i2i2i−2i−2i2i2i−2i2-2-2222-2-2−2i−2i2i2i000000000000000000000000
χ442-22-22-22-2−2i2i2i−2i−2i2i2i−2i2-2-22-2-2222i2i−2i−2i000000000000000000000000
χ4544-444-4-4-400000000000022−2222−220000000000000000000000000000
χ4644-444-4-4-4000000000000−2222−22220000000000000000000000000000
χ4744-4-4-444-400000000000000002i2−2i22i2−2i2000000000000000000000000
χ4844-4-4-444-40000000000000000−2i22i2−2i22i2000000000000000000000000
χ494-4-44-4-444000000000000000022−22−2222000000000000000000000000
χ504-4-44-4-4440000000000000000−222222−22000000000000000000000000
χ514-4-4-444-4400000000000022−22−22220000000000000000000000000000
χ524-4-4-444-44000000000000−222222−220000000000000000000000000000

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