Finite Group Databasebeta

← Group #24031

Character table — Group #24031

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444442222444222244444444444444888888
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-11-1-1-111-1-111-111-1-1111111-1-1-1-1-1-1
χ611111111111111-1-11-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111-1-11-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111-1-11-1-1-1-1-111-1-1-1-1-111-1-111111111-1-1
χ91111111-1-1111-1-111-111-1111-111-1-1-11-1-1-111-1-111-1-11-1
χ101111111-1-1111-1-111-111-1111-1-1-1-1-1-11-111-1-111-1-111-11
χ111111111-1-1111-1-111-111-1-1-1-1111-111-11-1-1-1-11111-1-1-11
χ121111111-1-1111-1-111-111-1-1-1-11-1-1-111-111111-1-1-1-1111-1
χ131111111-1-1111-1-1-1-1-1-1-1111-11111-1-1-11-1-111-1-1-1-111-11
χ141111111-1-1111-1-1-1-1-1-1-1111-11-1-11-1-1-1111-1-11111-1-11-1
χ151111111-1-1111-1-1-1-1-1-1-11-1-11-1111111-1-1-1-1-111-1-1111-1
χ161111111-1-1111-1-1-1-1-1-1-11-1-11-1-1-11111-11111-1-111-1-1-11
χ17222222-222-2-2-2-2-20020002-2000002-200000000000000
χ18222222-222-2-2-2-2-2002000-2200000-2200000000000000
χ19222222-2-2-2-2-2-22200-20002-200000-2200000000000000
χ20222222-2-2-2-2-2-22200-2000-22000002-200000000000000
χ212222-2-2222-2-222-222-2-2-2-200000020000000000000000
χ222222-2-2222-2-222-2-2-2-2222000000-20000000000000000
χ232222-2-22-2-2-2-22-22222-2-22000000-20000000000000000
χ242222-2-22-2-2-2-22-22-2-2222-200000020000000000000000
χ252222-2-2-22222-2-2200-2000002-200000-22000000000000
χ262222-2-2-22222-2-2200-200000-22000002-2000000000000
χ272222-2-2-2-2-222-22-2002000002200000-2-2000000000000
χ282222-2-2-2-2-222-22-200200000-2-20000022000000000000
χ292-22-22-22002-2-2002-202-20000000000002i−2i0000002i−2i00
χ302-22-22-22002-2-2002-202-2000000000000−2i2i000000−2i2i00
χ312-22-22-22002-2-200-220-220000000000002i−2i000000−2i2i00
χ322-22-22-22002-2-200-220-22000000000000−2i2i0000002i−2i00
χ332-22-2-22200-22-2002-20-22000002i−2i000000000002i−2i0000
χ342-22-2-22200-22-2002-20-2200000−2i2i00000000000−2i2i0000
χ352-22-2-22200-22-200-2202-2000002i−2i00000000000−2i2i0000
χ362-22-2-22200-22-200-2202-200000−2i2i000000000002i−2i0000
χ3744-4-40004i−4i0000000000000000000000002-22i−2i000000
χ3844-4-40004i−4i000000000000000000000000-22−2i2i000000
χ3944-4-4000−4i4i0000000000000000000000002-2−2i2i000000
χ4044-4-4000−4i4i000000000000000000000000-222i−2i000000
χ414-44-44-4-400-4440000000000000000000000000000000
χ424-44-4-44-4004-440000000000000000000000000000000
χ438-8-88000000000000000000000000000000000000000

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