Finite Group Databasebeta

← Group #244281

Character table — Group #244281

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222444444444444444444444444888888888888888888888888888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ19222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222000000000000000022-2-222-2-2000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2220000000000000000-2-222-2-222000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2322222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2000000000000000022-2-2-2-222000000000000000000000000
χ2422222222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-20000000000000000-2-22222-2-2000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000022-2-2-2-2220000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000-2-22222-2-20000000000000000
χ2922-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2i2−i2i2−i22−22−2002-2002i−2i0000000000000000
χ3022-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−2−i2i2−i2i2−22−2200-2200−2i2i0000000000000000
χ3122-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222i2−i2i2−i22−22−200-2200−2i2i0000000000000000
χ3222-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−222−i2i2−i2i2−22−22002-2002i−2i0000000000000000
χ3322-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-222000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222i2−i2−i2i22−2−222-2002i−2i000000000000000000
χ3422-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-222000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222−i2i2i2−i2−222−2-2200−2i2i000000000000000000
χ3522-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-222000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2i2−i2−i2i22−2−22-2200−2i2i000000000000000000
χ3622-22-2-22-22i2i−2i−2i−2i−2i2i2i-2-222000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−i2i2i2−i2−222−22-2002i−2i000000000000000000
χ3722-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-222000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2i2−i2−i2i2−222−22-200−2i2i000000000000000000
χ3822-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-222000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−i2i2i2−i22−2−22-22002i−2i000000000000000000
χ3922-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-222000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222i2−i2−i2i2−222−2-22002i−2i000000000000000000
χ4022-22-2-22-2−2i−2i2i2i2i2i−2i−2i-2-222000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−i2i2i2−i22−2−222-200−2i2i000000000000000000
χ4122-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222i2−i2i2−i2−22−22002-200−2i2i0000000000000000
χ4222-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−222−i2i2−i2i22−22−200-22002i−2i0000000000000000
χ4322-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2i2−i2i2−i2−22−2200-22002i−2i0000000000000000
χ4422-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−2−i2i2−i2i22−22−2002-200−2i2i0000000000000000
χ4522-2-22-2-222i−2i2i−2i2i−2i2i−2i2-22-222-2-222-2-22i−2i2i−2i000000000000000000000000000000002-22i−2i000000000000
χ4622-2-22-2-222i−2i2i−2i2i−2i2i−2i2-22-222-2-222-2-22i−2i2i−2i00000000000000000000000000000000-22−2i2i000000000000
χ4722-2-22-2-222i−2i2i−2i2i−2i2i−2i2-22-2-2-222-2-222−2i2i−2i2i000000000000000000000000000000000000002i−2i0000002-2
χ4822-2-22-2-222i−2i2i−2i2i−2i2i−2i2-22-2-2-222-2-222−2i2i−2i2i00000000000000000000000000000000000000−2i2i000000-22
χ4922-2-22-2-222i−2i2i−2i−2i2i−2i2i-22-2222-2-2-2-222−2i2i2i−2i0000000000000000000000000000000000002-20000002i−2i00
χ5022-2-22-2-222i−2i2i−2i−2i2i−2i2i-22-2222-2-2-2-222−2i2i2i−2i000000000000000000000000000000000000-22000000−2i2i00
χ5122-2-22-2-222i−2i2i−2i−2i2i−2i2i-22-22-2-22222-2-22i−2i−2i2i00000000000000000000000000000000000000002-22i−2i0000
χ5222-2-22-2-222i−2i2i−2i−2i2i−2i2i-22-22-2-22222-2-22i−2i−2i2i0000000000000000000000000000000000000000-22−2i2i0000
χ5322-2-22-2-22−2i2i−2i2i2i−2i2i−2i-22-2222-2-2-2-2222i−2i−2i2i0000000000000000000000000000000000002-2000000−2i2i00
χ5422-2-22-2-22−2i2i−2i2i2i−2i2i−2i-22-2222-2-2-2-2222i−2i−2i2i000000000000000000000000000000000000-220000002i−2i00
χ5522-2-22-2-22−2i2i−2i2i2i−2i2i−2i-22-22-2-22222-2-2−2i2i2i−2i00000000000000000000000000000000000000002-2−2i2i0000
χ5622-2-22-2-22−2i2i−2i2i2i−2i2i−2i-22-22-2-22222-2-2−2i2i2i−2i0000000000000000000000000000000000000000-222i−2i0000
χ5722-2-22-2-22−2i2i−2i2i−2i2i−2i2i2-22-222-2-222-2-2−2i2i−2i2i000000000000000000000000000000002-2−2i2i000000000000
χ5822-2-22-2-22−2i2i−2i2i−2i2i−2i2i2-22-222-2-222-2-2−2i2i−2i2i00000000000000000000000000000000-222i−2i000000000000
χ5922-2-22-2-22−2i2i−2i2i−2i2i−2i2i2-22-2-2-222-2-2222i−2i2i−2i000000000000000000000000000000000000002i−2i000000-22
χ6022-2-22-2-22−2i2i−2i2i−2i2i−2i2i2-22-2-2-222-2-2222i−2i2i−2i00000000000000000000000000000000000000−2i2i0000002-2
χ61444-4-44-4-44-4-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000
χ62444-4-44-4-44-4-44-444-4-444-4000000000000000000000000000000000000000000000000000000000000
χ63444-4-44-4-4-444-44-4-44-444-4000000000000000000000000000000000000000000000000000000000000
χ64444-4-44-4-4-444-4-444-44-4-44000000000000000000000000000000000000000000000000000000000000
χ654-444-4-4-4400000000000000004-44-400000000000000004i−4i4i−4i00000000000000000000000000000000
χ664-444-4-4-4400000000000000004-44-40000000000000000−4i4i−4i4i00000000000000000000000000000000
χ674-444-4-4-440000000000000000-44-440000000000004i−4i4i−4i000000000000000000000000000000000000
χ684-444-4-4-440000000000000000-44-44000000000000−4i4i−4i4i000000000000000000000000000000000000
χ694-44-44-44-40000000000004-44-4000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ704-44-44-44-40000000000004-44-400000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ714-44-44-44-4000000000000-44-44000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ724-44-44-44-4000000000000-44-4400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ734-4-4444-4-40000000000004-4-4400000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000
χ744-4-4444-4-40000000000004-4-440000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000
χ754-4-4444-4-4000000000000-444-400000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000
χ764-4-4444-4-4000000000000-444-40000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000
χ774-4-4-4-444400000000000000004-4-4400004-4-4400000000000000000000000000000000000000000000
χ784-4-4-4-444400000000000000004-4-440000-444-400000000000000000000000000000000000000000000
χ794-4-4-4-44440000000000000000-444-4000000004-4-440000000000000000000000000000000000000000
χ804-4-4-4-44440000000000000000-444-400000000-444-40000000000000000000000000000000000000000

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