Finite Group Databasebeta

← Group #7013938

Character table — Group #7013938

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size111111112222222244444444444444444444444444444444888888888888888888888888816161616161616161616
order12222222444444442222444444444444888888888888888822444444444444444888888884444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-1-1111
χ5111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-11111-1
χ6111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-11-11-111111111-11111-1-1-1-1-1-1-11-1-11-1-1-1-11
χ7111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-111-111-1-11111111-1-1-1111-1-11
χ8111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1111111-1111-1-1-111-1
χ91111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-111
χ101111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-111-1-11111-1-11-1-11-1-111-1-1
χ111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-1-111-11111-1-1-1-111-11-11-11-11-1-1
χ121111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-111-1-1-1-1111-11-11-11-111
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-11-1-11-1-11-1
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-111-111-11
χ151111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-11111-1-11-1-1111111-1-1-1-1-1111-11-11
χ161111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1-1-111111111111-1-1111-1-1-11-11-1
χ17111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-11111111-1-1111111-1-1-1-1-11
χ18111111111-1-1-1-11111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111111-1-11111-1-111-1-1-1-111111-1
χ19111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-111-1-1111-1-1-1-1-1-111-1-111-1-11-1-111-1
χ20111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-111-1-111-1-1111-1-1-1-111-1-1-1-111-111-1-11
χ21111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-111111-1-11111-1-1-111-1-111-1-11-1111-1-1-1-1-1
χ22111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-11111-1-111-1-1-11-1-1-111111
χ23111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-111111-1-111-1-1-111-1-111-1-1111-1-1-1-1-1-1111
χ24111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-111-1-1-1-1-111-1-111-1111111-1-1-1
χ25111111111-1-1-1-1111-1-1111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-111-1-1-111-11
χ26111111111-1-1-1-1111-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-11-1-1111-1-11-1
χ27111111111-1-1-1-1111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-11111-1-11111-11-111-11-11-1
χ28111111111-1-1-1-1111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-111-1-111111-11-1-11-11-11
χ29111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111111-1-1-1-1111-1-1-1-11111-1-11-11-111-1-1
χ30111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-111111-1-1-1-1-1-1111111-11-11-1-111
χ31111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-111111-1-1111-1-11111-1-1-1-1-1-1-11-1-11-111
χ32111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-11-1-1-1-111-1-11111111-1-1-1-1111-111-11-1-1
χ3322222222-22222-2-2-2222222-2-2-2-2-2-2-2-2-2-2000000000000000000-22-2200000000200000000000000000000
χ3422222222-22222-2-2-222-2-222222222-2-222000000000000000000-2-2-2-200000000-200000000000000000000
χ3522222222-22222-2-2-2-2-222-2-2-2-22222-2-2-2-20000000000000000002-22200000000-200000000000000000000
χ3622222222-22222-2-2-2-2-2-2-2-2-222-2-2-2-2-2-222000000000000000000222-200000000200000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222220000000000000000002-2-2-200000000200000000000000000000
χ3822222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-222-2-200000000000000000022-2200000000-200000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-22222000000000000000000-222-200000000-200000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000-2-22200000000200000000000000000000
χ4122-2-22-2-2202i2i−2i−2i0002-2002i−2i2i−2i2i−2i2-2002-2i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000000000000i2−i22−2i2−i22−20000000000
χ4222-2-22-2-2202i2i−2i−2i0002-2002i−2i2i−2i2i−2i2-2002-2−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000000000000−i2i2−22−i2i2−220000000000
χ4322-2-22-2-2202i2i−2i−2i0002-2002i−2i−2i2i−2i2i-2200-22i2i2−i2−i2−i2−i2i2i222−2−222−2−200000000000000000i2−i2−22−i2i2−220000000000
χ4422-2-22-2-2202i2i−2i−2i0002-2002i−2i−2i2i−2i2i-2200-22−i2−i2i2i2i2i2−i2−i2−2−222−2−22200000000000000000−i2i22−2i2−i22−20000000000
χ4522-2-22-2-2202i2i−2i−2i000-2200−2i2i2i−2i−2i2i-22002-2i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000000000000−i2i22−2i2−i2−220000000000
χ4622-2-22-2-2202i2i−2i−2i000-2200−2i2i2i−2i−2i2i-22002-2−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000000000000i2−i2−22−i2i22−20000000000
χ4722-2-22-2-2202i2i−2i−2i000-2200−2i2i−2i2i2i−2i2-200-22i2i2−i2−i2i2i2−i2−i222−2−2−2−22200000000000000000−i2i2−22−i2i22−20000000000
χ4822-2-22-2-2202i2i−2i−2i000-2200−2i2i−2i2i2i−2i2-200-22−i2−i2i2i2−i2−i2i2i2−2−22222−2−200000000000000000i2−i22−2i2−i2−220000000000
χ4922-2-22-2-220−2i−2i2i2i0002-200−2i2i2i−2i2i−2i-2200-22i2i2−i2−i2−i2−i2i2i2−2−222−2−22200000000000000000i2−i22−2−i2i22−20000000000
χ5022-2-22-2-220−2i−2i2i2i0002-200−2i2i2i−2i2i−2i-2200-22−i2−i2i2i2i2i2−i2−i222−2−222−2−200000000000000000−i2i2−22i2−i2−220000000000
χ5122-2-22-2-220−2i−2i2i2i0002-200−2i2i−2i2i−2i2i2-2002-2i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000000000000i2−i2−22i2−i2−220000000000
χ5222-2-22-2-220−2i−2i2i2i0002-200−2i2i−2i2i−2i2i2-2002-2−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000000000000−i2i22−2−i2i22−20000000000
χ5322-2-22-2-220−2i−2i2i2i000-22002i−2i2i−2i−2i2i2-200-22i2i2−i2−i2i2i2−i2−i2−2−22222−2−200000000000000000−i2i22−2−i2i2−220000000000
χ5422-2-22-2-220−2i−2i2i2i000-22002i−2i2i−2i−2i2i2-200-22−i2−i2i2i2−i2−i2i2i222−2−2−2−22200000000000000000i2−i2−22i2−i22−20000000000
χ5522-2-22-2-220−2i−2i2i2i000-22002i−2i−2i2i2i−2i-22002-2i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000000000000−i2i2−22i2−i22−20000000000
χ5622-2-22-2-220−2i−2i2i2i000-22002i−2i−2i2i2i−2i-22002-2−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000000000000i2−i22−2−i2i2−220000000000
χ572-22-222-2-2-22i−2i2i−2i22-20000000000002i−2i002-22-200002i−2i2i−2i0000000000002i−2i2-22-202i−2i000000000000000000
χ582-22-222-2-2-22i−2i2i−2i22-20000000000002i−2i002-22-200002i−2i2i−2i000000000000−2i2i-22-220−2i2i000000000000000000
χ592-22-222-2-2-22i−2i2i−2i22-20000000000002i−2i00-22-220000−2i2i−2i2i0000000000002i−2i2-2-220−2i2i000000000000000000
χ602-22-222-2-2-22i−2i2i−2i22-20000000000002i−2i00-22-220000−2i2i−2i2i000000000000−2i2i-222-202i−2i000000000000000000
χ612-22-222-2-2-2−2i2i−2i2i22-2000000000000−2i2i002-22-20000−2i2i−2i2i0000000000002i−2i-22-2202i−2i000000000000000000
χ622-22-222-2-2-2−2i2i−2i2i22-2000000000000−2i2i002-22-20000−2i2i−2i2i000000000000−2i2i2-22-20−2i2i000000000000000000
χ632-22-222-2-2-2−2i2i−2i2i22-2000000000000−2i2i00-22-2200002i−2i2i−2i0000000000002i−2i-222-20−2i2i000000000000000000
χ642-22-222-2-2-2−2i2i−2i2i22-2000000000000−2i2i00-22-2200002i−2i2i−2i000000000000−2i2i2-2-2202i−2i000000000000000000
χ6544-44-44-4-4400004-4-4000000000000000000000000000000004-4000000000000000000000000000000000
χ6644-44-44-4-4400004-4-400000000000000000000000000000000-44000000000000000000000000000000000
χ6744-44-44-4-4-40000-444000000000000000000000000000000000000004i−4i000000000000000000000000000
χ6844-44-44-4-4-40000-44400000000000000000000000000000000000000−4i4i000000000000000000000000000
χ694-444-4-4-4400000000004-400000000000000002i2−2i22i2−2i200002i2−2i22i2−2i200000000000000000000000000000000000
χ704-444-4-4-4400000000004-40000000000000000−2i22i2−2i22i20000−2i22i2−2i22i200000000000000000000000000000000000
χ714-444-4-4-440000000000-4400000000000000002i2−2i22i2−2i20000−2i22i2−2i22i200000000000000000000000000000000000
χ724-444-4-4-440000000000-440000000000000000−2i22i2−2i22i200002i2−2i22i2−2i200000000000000000000000000000000000
χ734-44-444-4-444i−4i4i−4i-4-44000000000000−4i4i00000000000000000000000000000000000000000000000000000
χ744-44-444-4-44−4i4i−4i4i-4-440000000000004i−4i00000000000000000000000000000000000000000000000000000
χ754-4-444-44-404-4-4400000000000000000002i2−2i2−2i22i20000−2i22i22i2−2i2000000000000000000000000000000000000000
χ764-4-444-44-404-4-440000000000000000000−2i22i22i2−2i200002i2−2i2−2i22i2000000000000000000000000000000000000000
χ774-4-444-44-40-444-400000000000000000002i2−2i2−2i22i200002i2−2i2−2i22i2000000000000000000000000000000000000000
χ784-4-444-44-40-444-40000000000000000000−2i22i22i2−2i20000−2i22i22i2−2i2000000000000000000000000000000000000000
χ794-4-4-4-444440000-44-400000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000
χ804-4-4-4-444440000-44-40000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000
χ814-4-4-4-4444-400004-44000000000000000000004-4-440000000000000000000000000000000000000000000
χ824-4-4-4-4444-400004-4400000000000000000000-444-40000000000000000000000000000000000000000000
χ83888-8-8-88-8000000000000000000000000000000000000000000000000000000000000000000000000000

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