Finite Group Databasebeta

← Group #11113

Character table — Group #11113

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222222224444444444444444224444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ9111-1-11-1-11-1-11111-1-1-11-11111-1-1-1-11-1i−i1-1ii−i−ii−iii−i−i11-1-1ii−i−i
χ10111-1-11-1-11-1-11111-1-1-11-11111-1-1-1-11-1−ii1-1−i−iii−ii−i−iii11-1-1−i−iii
χ11111-1-11-1-11-1-11111-1-1-11-11111-1-1-1-1-11i−i-11−i−iiii−i−i−iii-1-111ii−i−i
χ12111-1-11-1-11-1-11111-1-1-11-11111-1-1-1-1-11−ii-11ii−i−i−iiii−i−i-1-111−i−iii
χ13111-1-11-1-11-1-11111-1-1-11-1-1-1-1-111111-1i−i1-1ii−i−ii−i−i−iii-1-111−i−iii
χ14111-1-11-1-11-1-11111-1-1-11-1-1-1-1-111111-1−ii1-1−i−iii−iiii−i−i-1-111ii−i−i
χ15111-1-11-1-11-1-11111-1-1-11-1-1-1-1-11111-11i−i-11−i−iiii−iii−i−i11-1-1−i−iii
χ16111-1-11-1-11-1-11111-1-1-11-1-1-1-1-11111-11−ii-11ii−i−i−ii−i−iii11-1-1ii−i−i
χ17222222222222-2-2-2-2-2-2-2-2000000000000002-22-200000000000000
χ18222222222222-2-2-2-2-2-2-2-200000000000000-22-2200000000000000
χ1922222222-2-2-2-222-22-2-2-22000000002200-2-2000000000000000000
χ2022222222-2-2-2-222-22-2-2-2200000000-2-20022000000000000000000
χ2122222222-2-2-2-2-2-22-2222-2000000000022000000-2-2000000000000
χ2222222222-2-2-2-2-2-22-2222-20000000000-2-200000022000000000000
χ23222-2-22-2-22-2-22-2-2-2222-22000000000000002i−2i−2i2i00000000000000
χ24222-2-22-2-22-2-22-2-2-2222-2200000000000000−2i2i2i−2i00000000000000
χ25222-2-22-2-2-222-222-2-222-2-2000000002-200-22000000000000000000
χ26222-2-22-2-2-222-222-2-222-2-200000000-22002-2000000000000000000
χ27222-2-22-2-2-222-2-2-222-2-22200000000002i−2i000000−2i2i000000000000
χ28222-2-22-2-2-222-2-2-222-2-2220000000000−2i2i0000002i−2i000000000000
χ292-2-22-222-222-2-22-22-22-2-222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ302-2-22-222-222-2-22-22-22-2-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ312-2-22-222-222-2-2-22-22-222-2000000000000000000002i−2i2i−2i00000000
χ322-2-22-222-222-2-2-22-22-222-200000000000000000000−2i2i−2i2i00000000
χ332-2-22-222-2-2-2222-2-2-2-22220000000000000000000000002-22-20000
χ342-2-22-222-2-2-2222-2-2-2-2222000000000000000000000000-22-220000
χ352-2-22-222-2-2-222-22222-2-2-200000000000000000000000000002i−2i2i−2i
χ362-2-22-222-2-2-222-22222-2-2-20000000000000000000000000000−2i2i−2i2i
χ372-2-2-222-222-22-22-222-22-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ382-2-2-222-222-22-22-222-22-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ392-2-2-222-222-22-2-22-2-22-222000000000000000000002-2-2200000000
χ402-2-2-222-222-22-2-22-2-22-22200000000000000000000-222-200000000
χ412-2-2-222-22-22-222-2-222-22-20000000000000000000000002-2-220000
χ422-2-2-222-22-22-222-2-222-22-2000000000000000000000000-222-20000
χ432-2-2-222-22-22-22-222-2-22-2200000000000000000000000000002-2-22
χ442-2-2-222-22-22-22-222-2-22-220000000000000000000000000000-222-2
χ4544-444-4-4-40000000000002-22-22-22-2000000000000000000000000
χ4644-444-4-4-4000000000000-22-22-22-22000000000000000000000000
χ4744-4-4-4-4440000000000002-22-2-22-22000000000000000000000000
χ4844-4-4-4-444000000000000-22-222-22-2000000000000000000000000
χ494-444-4-4-440000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ504-444-4-4-44000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ514-44-44-44-40000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ524-44-44-44-4000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000

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