Finite Group Databasebeta

← Group #104379

Character table — Group #104379

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111444444444488161616161616161616161616161616161616161632323232
order12222222444444444444444488888888888888882444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ92222222222222-2-2-2-22-2-200000000000000000000002-2
χ102222222222222-2-2-2-22-2-20000000000000000000000-22
χ112222222222-2-2-22222-2-2-200000000000022-2-200000000
χ122222222222-2-2-22222-2-2-2000000000000-2-22200000000
χ132222222222-2-2-2-2-2-2-2-222000000002i2i−2i−2i000000000000
χ142222222222-2-2-2-2-2-2-2-22200000000−2i−2i2i2i000000000000
χ1522222222-2-22-2-222-2-222-222-2-200000000000000000000
χ1622222222-2-22-2-222-2-222-2-2-22200000000000000000000
χ1722222222-2-22-2-2-2-2222-22000000000000000022-2-20000
χ1822222222-2-22-2-2-2-2222-220000000000000000-2-2220000
χ1922222222-2-2-22222-2-2-2-22000000000000000000002-200
χ2022222222-2-2-22222-2-2-2-2200000000000000000000-2200
χ2122222222-2-2-222-2-222-22-2000022-2-20000000000000000
χ2222222222-2-2-222-2-222-22-20000-2-2220000000000000000
χ2344-444-4-4-40004-4000000000000000000000002i−2i2i−2i0000
χ2444-444-4-4-40004-400000000000000000000000−2i2i−2i2i0000
χ2544-444-4-4-4000-44000000000000000000000002i−2i−2i2i0000
χ2644-444-4-4-4000-4400000000000000000000000−2i2i2i−2i0000
χ2744-4-4-444-4000004-40000000002i−2i2i−2i0000000000000000
χ2844-4-4-444-4000004-4000000000−2i2i−2i2i0000000000000000
χ2944-4-4-444-400000-440000000002i−2i−2i2i0000000000000000
χ3044-4-4-444-400000-44000000000−2i2i2i−2i0000000000000000
χ314-444-44-4-400000004i−4i0002-22i−2i00000000000000000000
χ324-444-44-4-400000004i−4i000-22−2i2i00000000000000000000
χ334-444-44-4-40000000−4i4i0002-2−2i2i00000000000000000000
χ344-444-44-4-40000000−4i4i000-222i−2i00000000000000000000
χ354-44-44-44-44-40000000000000000000000002i2−2i200000000
χ364-44-44-44-44-4000000000000000000000000−2i22i200000000
χ374-44-44-44-4-4400000000000000000000002i2−2i20000000000
χ384-44-44-44-4-440000000000000000000000−2i22i20000000000
χ394-4-44-4-444004000000-400000000002i−2i2i−2i000000000000
χ404-4-44-4-444004000000-40000000000−2i2i−2i2i000000000000
χ414-4-44-4-44400-4000000400000000002-2-22000000000000
χ424-4-44-4-44400-400000040000000000-222-2000000000000
χ43888-8-8-8-88000000000000000000000000000000000000
χ448-8-8-888-88000000000000000000000000000000000000

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