Finite Group Databasebeta

← Group #27321

Character table — Group #27321

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-11-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-111-11
χ51111111111111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111-1-1-1-1-1-11111-1-1111-1-1-1-1-11111-1-1-1-1-11
χ81111111111111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-111111-1
χ9111111111111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-111111111-1-1
χ11111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-1111-1
χ12111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-11111-1-111-1-1-11
χ13111111111111-1-1-1-1-1-11111-1-11111-111-111-1-1-1-11111-1-1-1-1
χ14111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-1-1-1-11111
χ15111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1-1-11111-11
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111111111-1-1-1-11-1
χ1722222222-2-2-2-200002222-2-2220000-200-200000000000000
χ1822222222-2-2-2-2000022-2-222-2-20000200-200000000000000
χ1922222222-2-2-2-20000-2-222-2-2-2-20000200200000000000000
χ2022222222-2-2-2-20000-2-2-2-222220000-200200000000000000
χ212222-2-2-2-222-2-222-2-2000000002-200000000002-200000000
χ222222-2-2-2-222-2-222-2-200000000-220000000000-2200000000
χ232222-2-2-2-222-2-2-2-222000000002-20000000000-2200000000
χ242222-2-2-2-222-2-2-2-22200000000-2200000000002-200000000
χ252-2-222-22-22-2-222-22-2002i−2i2i−2i0000000000002i−2i0000000000
χ262-2-222-22-22-2-222-22-200−2i2i−2i2i000000000000−2i2i0000000000
χ272-2-222-22-22-2-22-22-22002i−2i2i−2i000000000000−2i2i0000000000
χ282-2-222-22-22-2-22-22-2200−2i2i−2i2i0000000000002i−2i0000000000
χ292-2-222-22-2-222-20000002i−2i−2i2i00000002i−2i02-2000000000000
χ302-2-222-22-2-222-20000002i−2i−2i2i0000000−2i2i0-22000000000000
χ312-2-222-22-2-222-2000000−2i2i2i−2i00000002i−2i0-22000000000000
χ322-2-222-22-2-222-2000000−2i2i2i−2i0000000−2i2i02-2000000000000
χ332-2-22-22-222-22-22-2-2200000000002i−2i000000000000002i−2i00
χ342-2-22-22-222-22-22-2-220000000000−2i2i00000000000000−2i2i00
χ352-2-22-22-222-22-2-222-200000000002i−2i00000000000000−2i2i00
χ362-2-22-22-222-22-2-222-20000000000−2i2i000000000000002i−2i00
χ374444-4-4-4-4-4-4440000000000000000000000000000000000
χ3844-4-444-4-40000000000000000000000000000000022−220000
χ3944-4-444-4-400000000000000000000000000000000−22220000
χ4044-4-4-4-444000000004i−4i0000000000000000000000000000
χ4144-4-4-4-44400000000−4i4i0000000000000000000000000000
χ424-44-44-4-440000000000000000000000000000002i2−2i2000000
χ434-44-44-4-44000000000000000000000000000000−2i22i2000000
χ444-44-4-444-4000000000000004i−4i0000000000000000000000
χ454-44-4-444-400000000000000−4i4i0000000000000000000000
χ464-4-44-44-44-44-440000000000000000000000000000000000

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