Finite Group Databasebeta

← Group #18656

Character table — Group #18656

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1222224444444444444488888888222444444488884488
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-11111
χ511111111111111-1-11-1-1111111111-111-1-1-1-1-111-1-1-1-1-1-111
χ611111111111111-1-11-1-1111111111-1-1-11111-1-1-1-1-1-1-111-1-1
χ711111111111111-1-11-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1
χ811111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111
χ91111-1-1-1-11-1-111111-1-1-111111-1-1-1-1-11-111-1-111-111-1-11-11-1
χ101111-1-1-1-11-1-111111-1-1-111111-1-1-1-1-1-11-1-1111-1111-1-1-11-11
χ111111-1-1-1-11-1-111111-1-1-11-1-1-1-11111-11-111-1-111-1-1-111-11-11
χ121111-1-1-1-11-1-111111-1-1-11-1-1-1-11111-1-11-1-1111-11-1-1111-11-1
χ131111-1-1-1-11-1-1111-1-1-11111111-1-1-1-111-1-1-111-11-1-1-111-111-1
χ141111-1-1-1-11-1-1111-1-1-11111111-1-1-1-11-1111-1-1-1-11-1-1111-1-11
χ151111-1-1-1-11-1-1111-1-1-1111-1-1-1-1111111-1-1-111-11-111-1-11-1-11
χ161111-1-1-1-11-1-1111-1-1-1111-1-1-1-111111-1111-1-1-1-1111-1-1-111-1
χ1722222222-2-2-2-2-2-200-2002000000000002-22-200000000000
χ1822222222-2-2-2-2-2-200-200200000000000-22-2200000000000
χ19222222-2-2222-2-2222-222-200000000-2000000-20000000000
χ20222222-2-2222-2-22-2-2-2-2-2-200000000200000020000000000
χ21222222-2-2-2-2-222-200200-20000000002-200000-2200000000
χ22222222-2-2-2-2-222-200200-2000000000-22000002-200000000
χ232222-2-2222-2-2-2-22222-2-2-2000000002000000-20000000000
χ242222-2-2222-2-2-2-22-2-2222-200000000-200000020000000000
χ252222-2-222-22222-200-200-20000000002200000-2-200000000
χ262222-2-222-22222-200-200-2000000000-2-2000002200000000
χ272222-2-2-2-2-222-2-2-2002002000000000002-2-2200000000000
χ282222-2-2-2-2-222-2-2-200200200000000000-222-200000000000
χ292-2-222-20022-200-22i−2i02i−2i0i2i2−i2−i2i2i2−i2−i200000000002−22−20000
χ302-2-222-20022-200-22i−2i02i−2i0−i2−i2i2i2−i2−i2i2i20000000000−22−220000
χ312-2-222-20022-200-2−2i2i0−2i2i0i2i2−i2−i2i2i2−i2−i20000000000−22−220000
χ322-2-222-20022-200-2−2i2i0−2i2i0−i2−i2i2i2−i2−i2i2i200000000002−22−20000
χ332-2-22-22002-2200-22i−2i0−2i2i0i2i2−i2−i2−i2−i2i2i200000000002−2−220000
χ342-2-22-22002-2200-22i−2i0−2i2i0−i2−i2i2i2i2i2−i2−i20000000000−222−20000
χ352-2-22-22002-2200-2−2i2i02i−2i0i2i2−i2−i2−i2−i2i2i20000000000−222−20000
χ362-2-22-22002-2200-2−2i2i02i−2i0−i2−i2i2i2i2i2−i2−i200000000002−2−220000
χ3744-4-4004-40000000000002-22-22-22-2000000000000000000
χ3844-4-4004-4000000000000-22-22-22-22000000000000000000
χ3944-4-400-440000000000002-22-2-22-22000000000000000000
χ4044-4-400-44000000000000-22-222-22-2000000000000000000
χ414-44-400000004-4000000000002i2−2i2−2i22i2000000000000000000
χ424-44-400000004-400000000000−2i22i22i2−2i2000000000000000000
χ434-44-40000000-4400000002i2−2i2−2i22i20000000000000000000000
χ444-44-40000000-440000000−2i22i22i2−2i20000000000000000000000
χ454-4-444-400-4-4400400000000000000000000000000000000
χ464-4-44-4400-44-400400000000000000000000000000000000

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