Finite Group Databasebeta

← Group #24021

Character table — Group #24021

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1222224444444422222244444444224444444444448888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111-1-1-1-1111111111-1-1-1-1-111-1-1-1-11-111-1-1
χ61111111111111111-1-1-1-111111111-11-1-1-1-1-1-111-1-1-11-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1111-1-1
χ9111111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1
χ10111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11
χ11111111-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111-11-11
χ12111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-11-1
χ13111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-111111-11-1-11
χ14111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-11-111-1
χ15111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1-111-1
χ16111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-111-111-1-11
χ172222222222-2-2-2-2-2-222-2-20000000000000000002-2000000
χ182222222222-2-2-2-2-2-2-2-222000000000000000000-22000000
χ19222222-2-2-2-2-2-2-2-22222-2-2000000000000000000-22000000
χ20222222-2-2-2-2-2-2-2-222-2-2220000000000000000002-2000000
χ212222-2-222-2-222-2-22-2000000000000020000002-2000-20000
χ222222-2-222-2-222-2-22-20000000000000-2000000-2200020000
χ232222-2-222-2-2-2-222-220000000000002000002-20000-200000
χ242222-2-222-2-2-2-222-22000000000000-200000-220000200000
χ252222-2-2-2-22222-2-2-2200000000000002000000-22000-20000
χ262222-2-2-2-22222-2-2-220000000000000-20000002-200020000
χ272222-2-2-2-222-2-2222-2000000000000200000-220000-200000
χ282222-2-2-2-222-2-2222-2000000000000-2000002-20000200000
χ292-2-222-200002-22-2002-22-200002i2i−2i−2i00002i−2i000000000000
χ302-2-222-200002-22-2002-22-20000−2i−2i2i2i0000−2i2i000000000000
χ312-2-222-200002-22-200-22-2200002i2i−2i−2i0000−2i2i000000000000
χ322-2-222-200002-22-200-22-220000−2i−2i2i2i00002i−2i000000000000
χ332-2-222-20000-22-22002-2-222i2i−2i−2i0000002i−2i00000000000000
χ342-2-222-20000-22-22002-2-22−2i−2i2i2i000000−2i2i00000000000000
χ352-2-222-20000-22-2200-222-22i2i−2i−2i000000−2i2i00000000000000
χ362-2-222-20000-22-2200-222-2−2i−2i2i2i0000002i−2i00000000000000
χ3744-4-400004i−4i00000000002-22-22i−2i2i−2i000000000000000000
χ3844-4-400004i−4i0000000000-22-22−2i2i−2i2i000000000000000000
χ3944-4-40000−4i4i00000000002-22-2−2i2i−2i2i000000000000000000
χ4044-4-40000−4i4i0000000000-22-222i−2i2i−2i000000000000000000
χ414-44-4004i−4i0000000000002i−2i−2i2i2-2-22000000000000000000
χ424-44-4004i−4i000000000000−2i2i2i−2i-222-2000000000000000000
χ434-44-400−4i4i0000000000002i−2i−2i2i-222-2000000000000000000
χ444-44-400−4i4i000000000000−2i2i2i−2i2-2-22000000000000000000
χ454-4-44-4400004-4-4400000000000000000000000000000000
χ464-4-44-440000-444-400000000000000000000000000000000

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