Finite Group Databasebeta

← Group #296688

Character table — Group #296688

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ911111111111-1-1-1-111-1-1-1-1111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-111-1-11-1
χ1011111111111-1-1-1-111-1-1-1-1111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1-111-11
χ1111111111111-1-1-1-111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-1111-1-1-1-111-11
χ1211111111111-1-1-1-111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-11-1
χ1311111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-11
χ1411111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-111-1-1-1-1111-1
χ1511111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1111-1
χ1611111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-11-111-1-111-1-1-11
χ17222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-200000000000000002200-2-200-2-200000000000000000000
χ18222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000-2-20022002200000000000000000000
χ1922222222222-2-2-2-2-2-22222-2-22-2-2222222-2-20000000000000000-2-2002200-2-200000000000000000000
χ2022222222222-2-2-2-2-2-22222-2-22-2-2-2-2-2-222-2-200000000000000002200-2-2002200000000000000000000
χ2122222222-2-2-2222222222222-2-2-20000-2-2-2-20000000000000000002200220000000000-2-20000000000
χ2222222222-2-2-2222222222222-2-2-20000-2-2-2-2000000000000000000-2-200-2-20000000000220000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000002-22-2000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000-22-22000000
χ2522222222-2-2-2-2-2-2-222-2-2-2-222-222000022-2-20000000000000000002200-2-200000000002-20000000000
χ2622222222-2-2-2-2-2-2-222-2-2-2-222-222000022-2-2000000000000000000-2-200220000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-2220000-2-2220000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2220000-2-222000000000000000000000000000000000000-222-2000000
χ292222-2-2-2-222-222-2-200000000-22-222-2-200002222−2−2−2−22222−2−2−2−22-20000000022−2−222−2−2000000000000
χ302222-2-2-2-222-222-2-200000000-22-222-2-20000−2−2−2−22222−2−2−2−222222-200000000−2−222−2−222000000000000
χ312222-2-2-2-222-222-2-200000000-22-2-2-22200002222−2−2−2−22222−2−2−2−2-2200000000−2−222−2−222000000000000
χ322222-2-2-2-222-222-2-200000000-22-2-2-2220000−2−2−2−22222−2−2−2−22222-220000000022−2−222−2−2000000000000
χ332222-2-2-2-222-2-2-22200000000-2-2222-2-200002222−2−2−2−2−2−2−2−22222-220000000022−2−2−2−222000000000000
χ342222-2-2-2-222-2-2-22200000000-2-2222-2-20000−2−2−2−222222222−2−2−2−2-2200000000−2−22222−2−2000000000000
χ352222-2-2-2-222-2-2-22200000000-2-22-2-22200002222−2−2−2−2−2−2−2−222222-200000000−2−22222−2−2000000000000
χ362222-2-2-2-222-2-2-22200000000-2-22-2-2220000−2−2−2−222222222−2−2−2−22-20000000022−2−2−2−222000000000000
χ3722-2-222-2-22-2-200002-200002-22002i−2i2i−2i002-20000000022-2-222-2-2000000002i−2i00002i−2i2i−2i000000000000
χ3822-2-222-2-22-2-200002-200002-22002i−2i2i−2i002-200000000-2-222-2-222000000002i−2i0000−2i2i−2i2i000000000000
χ3922-2-222-2-22-2-200002-200002-2200−2i2i−2i2i002-20000000022-2-222-2-200000000−2i2i0000−2i2i−2i2i000000000000
χ4022-2-222-2-22-2-200002-200002-2200−2i2i−2i2i002-200000000-2-222-2-22200000000−2i2i00002i−2i2i−2i000000000000
χ4122-2-222-2-22-2-20000-220000-222002i−2i2i−2i00-2222-2-222-2-20000000000000000−2i2i2i−2i2i−2i0000000000000000
χ4222-2-222-2-22-2-20000-220000-222002i−2i2i−2i00-22-2-222-2-2220000000000000000−2i2i−2i2i−2i2i0000000000000000
χ4322-2-222-2-22-2-20000-220000-22200−2i2i−2i2i00-2222-2-222-2-200000000000000002i−2i−2i2i−2i2i0000000000000000
χ4422-2-222-2-22-2-20000-220000-22200−2i2i−2i2i00-22-2-222-2-22200000000000000002i−2i2i−2i2i−2i0000000000000000
χ4522-2-2-2-2222-2200000022-2-200-2002i−2i−2i2i2-20022−2−2−2−22222−2−2−2−22200002i−2i0000i2−i2−i2i2i2−i2−i2i2000000000000
χ4622-2-2-2-2222-2200000022-2-200-2002i−2i−2i2i2-200−2−22222−2−2−2−22222−2−200002i−2i0000−i2i2i2−i2−i2i2i2−i2000000000000
χ4722-2-2-2-2222-2200000022-2-200-200−2i2i2i−2i2-20022−2−2−2−22222−2−2−2−2220000−2i2i0000−i2i2i2−i2−i2i2i2−i2000000000000
χ4822-2-2-2-2222-2200000022-2-200-200−2i2i2i−2i2-200−2−22222−2−2−2−22222−2−20000−2i2i0000i2−i2−i2i2i2−i2−i2i2000000000000
χ4922-2-2-2-2222-22000000-2-22200-2002i−2i−2i2i-220022−2−2−2−222−2−22222−2−20000−2i2i0000i2−i2−i2i2−i2i2i2−i2000000000000
χ5022-2-2-2-2222-22000000-2-22200-2002i−2i−2i2i-2200−2−22222−2−222−2−2−2−2220000−2i2i0000−i2i2i2−i2i2−i2−i2i2000000000000
χ5122-2-2-2-2222-22000000-2-22200-200−2i2i2i−2i-220022−2−2−2−222−2−22222−2−200002i−2i0000−i2i2i2−i2i2−i2−i2i2000000000000
χ5222-2-2-2-2222-22000000-2-22200-200−2i2i2i−2i-2200−2−22222−2−222−2−2−2−22200002i−2i0000i2−i2−i2i2−i2i2i2−i2000000000000
χ532-22-2-222-20002i−2i2i−2i2-22i−2i2i−2i-22000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2002i−2i002-20000000000000000i2−i22−200
χ542-22-2-222-20002i−2i2i−2i2-22i−2i2i−2i-22000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200−2i2i00-220000000000000000−i2i2−2200
χ552-22-2-222-20002i−2i2i−2i2-22i−2i2i−2i-2200000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i2002i−2i002-20000000000000000−i2i2−2200
χ562-22-2-222-20002i−2i2i−2i2-22i−2i2i−2i-2200000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200−2i2i00-220000000000000000i2−i22−200
χ572-22-2-222-2000−2i2i−2i2i2-2−2i2i−2i2i-22000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2002i−2i00-220000000000000000i2−i2−2200
χ582-22-2-222-2000−2i2i−2i2i2-2−2i2i−2i2i-22000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200−2i2i002-20000000000000000−i2i22−200
χ592-22-2-222-2000−2i2i−2i2i2-2−2i2i−2i2i-2200000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2002i−2i00-220000000000000000−i2i22−200
χ602-22-2-222-2000−2i2i−2i2i2-2−2i2i−2i2i-2200000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200−2i2i002-20000000000000000i2−i2−2200
χ614444-4-4-4-4-4-4444-4-4000000004-44000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4-44-4-4440000000044-4000000000000000000000000000000000000000000000000000000
χ6344-4-444-4-4-44400004-400004-4-400000000-440000000000000000000000000000000000000000000000
χ6444-4-444-4-4-4440000-440000-44-4000000004-40000000000000000000000000000000000000000000000
χ6544-4-4-4-444-44-400000044-4-4004000000-44000000000000000000000000000000000000000000000000
χ6644-4-4-4-444-44-4000000-4-4440040000004-4000000000000000000000000000000000000000000000000
χ674-44-44-4-440004i−4i−4i4i00000000000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ684-44-44-4-440004i−4i−4i4i0000000000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ694-44-44-4-44000−4i4i4i−4i00000000000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ704-44-44-4-44000−4i4i4i−4i0000000000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ714-44-4-444-40004i−4i4i−4i-44−4i4i−4i4i4-4000000000000000000000000000000000000000000000000000000000
χ724-44-4-444-4000−4i4i−4i4i-444i−4i4i−4i4-4000000000000000000000000000000000000000000000000000000000
χ734-4-444-44-40000000004i−4i−4i4i00000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ744-4-444-44-40000000004i−4i−4i4i0000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ754-4-444-44-4000000000−4i4i4i−4i00000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ764-4-444-44-4000000000−4i4i4i−4i0000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ774-4-44-44-440000000440000-4-400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ784-4-44-44-440000000440000-4-40000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ794-4-44-44-440000000-4-40000440000000000022−22−222222−22−222200000000000000000000000000000000000000
χ804-4-44-44-440000000-4-400004400000000000−222222−22−222222−2200000000000000000000000000000000000000

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