Finite Group Databasebeta

← Group #23657

Character table — Group #23657

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111122222222222244444444888888888888888888888888
order1222222222224444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1
χ911111111-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111
χ1211111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1
χ1311111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ212222-2-2-2-222-2-22-222-2-22-200000000000000000000000000002-22-2
χ222222-2-2-2-222-2-22-222-2-22-20000000000000000000000000000-22-22
χ232222-2-2-2-222-2-2-22-2-222-220000000000000000000000002-22-20000
χ242222-2-2-2-222-2-2-22-2-222-22000000000000000000000000-22-220000
χ252222-2-2-2-2-2-2222-2-2-2222-200000000000000000000000000002-2-22
χ262222-2-2-2-2-2-2222-2-2-2222-20000000000000000000000000000-222-2
χ272222-2-2-2-2-2-222-2222-2-2-220000000000000000000000002-2-220000
χ282222-2-2-2-2-2-222-2222-2-2-22000000000000000000000000-222-20000
χ292-2-222-22-22-22-22-22-22-2-2200000000002i−2i0000002i−2i000000000000
χ302-2-222-22-22-22-22-22-22-2-220000000000−2i2i000000−2i2i000000000000
χ312-2-222-22-22-22-2-22-22-222-2000000002i−2i0000002i−2i00000000000000
χ322-2-222-22-22-22-2-22-22-222-200000000−2i2i000000−2i2i00000000000000
χ332-2-222-22-2-22-222-2-22-22-2200000000002i−2i000000−2i2i000000000000
χ342-2-222-22-2-22-222-2-22-22-220000000000−2i2i0000002i−2i000000000000
χ352-2-222-22-2-22-22-222-22-22-2000000002i−2i000000−2i2i00000000000000
χ362-2-222-22-2-22-22-222-22-22-200000000−2i2i0000002i−2i00000000000000
χ372-2-22-22-222-2-22222-2-22-2-20000000000002i−2i2i−2i0000000000000000
χ382-2-22-22-222-2-22222-2-22-2-2000000000000−2i2i−2i2i0000000000000000
χ392-2-22-22-222-2-22-2-2-222-222000000000000000000002-22-200000000
χ402-2-22-22-222-2-22-2-2-222-22200000000000000000000-22-2200000000
χ412-2-22-22-22-222-222-222-2-2-20000000000002i−2i−2i2i0000000000000000
χ422-2-22-22-22-222-222-222-2-2-2000000000000−2i2i2i−2i0000000000000000
χ432-2-22-22-22-222-2-2-22-2-2222000000000000000000002-2-2200000000
χ442-2-22-22-22-222-2-2-22-2-222200000000000000000000-222-200000000
χ4544-4-444-4-40000000000004-4000000000000000000000000000000
χ4644-4-444-4-4000000000000-44000000000000000000000000000000
χ4744-4-4-4-44400000000000000004-400000000000000000000000000
χ4844-4-4-4-4440000000000000000-4400000000000000000000000000
χ494-44-44-4-440000000000000000004i−4i000000000000000000000000
χ504-44-44-4-44000000000000000000−4i4i000000000000000000000000
χ514-44-4-444-4000000000000004i−4i0000000000000000000000000000
χ524-44-4-444-400000000000000−4i4i0000000000000000000000000000

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