Finite Group Databasebeta

← Group #24028

Character table — Group #24028

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444442222444224444444444444444888888
χ11111111111111111111111111111111111111111111
χ21111111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1111-1-1-1-1-1-1-11111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111
χ511111111111111-1-11-1-1-111111-1-111-11-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-11-1-1-111-1-11-1-1-1-1-11-1-111111111-1-1
χ711111111111111-1-11-1-1-1-1-111-11111-1-1111111-1-1-1-1-1-1
χ811111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111
χ91111111-1-1111-1-111-111-11-111-1-1-1-1-1-111111-1-111-1-11-1
χ101111111-1-1111-1-111-111-11-1-1-1-1-1-111-1111-1-111-1-111-11
χ111111111-1-1111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11
χ121111111-1-1111-1-111-111-1-11-1-111111-1-1-1-111-1-1-1-1111-1
χ131111111-1-1111-1-1-1-1-1-1-111-111-111-1-111-1-1-1-111-1-1111-1
χ141111111-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-11
χ151111111-1-1111-1-1-1-1-1-1-11-11111-1-1-1-11-11111-1-1-1-111-11
χ161111111-1-1111-1-1-1-1-1-1-11-11-1-11-1-1111-111-1-11111-1-11-1
χ17222222-222-2-2-2-2-2002000000002-200002-20000000000
χ18222222-222-2-2-2-2-200200000000-220000-220000000000
χ19222222-2-2-2-2-2-22200-2000000002-20000-220000000000
χ20222222-2-2-2-2-2-22200-200000000-2200002-20000000000
χ212222-2-2222-2-222-222-2-2-2-200000000020000000000000
χ222222-2-2222-2-222-2-2-2-2222000000000-20000000000000
χ232222-2-22-2-2-2-22-22222-2-22000000000-20000000000000
χ242222-2-22-2-2-2-22-22-2-2222-200000000020000000000000
χ252222-2-2-22222-2-2200-20002200-200000-2000000000000
χ262222-2-2-22222-2-2200-2000-2-2002000002000000000000
χ272222-2-2-2-2-222-22-20020002-200200000-2000000000000
χ282222-2-2-2-2-222-22-2002000-2200-2000002000000000000
χ292-2-222-22002-2-2002-202-2000000002i−2i00000000002i−2i00
χ302-2-222-22002-2-2002-202-200000000−2i2i0000000000−2i2i00
χ312-2-222-22002-2-200-220-22000000002i−2i0000000000−2i2i00
χ322-2-222-22002-2-200-220-2200000000−2i2i00000000002i−2i00
χ332-2-22-22200-22-2002-20-220002i−2i00000000000002i−2i0000
χ342-2-22-22200-22-2002-20-22000−2i2i0000000000000−2i2i0000
χ352-2-22-22200-22-200-2202-20002i−2i0000000000000−2i2i0000
χ362-2-22-22200-22-200-2202-2000−2i2i00000000000002i−2i0000
χ374-44-40004i−4i0000000000000000000000002-22i−2i000000
χ384-44-40004i−4i000000000000000000000000-22−2i2i000000
χ394-44-4000−4i4i0000000000000000000000002-2−2i2i000000
χ404-44-4000−4i4i000000000000000000000000-222i−2i000000
χ414-4-444-4-400-4440000000000000000000000000000000
χ424-4-44-44-4004-440000000000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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