Finite Group Databasebeta

← Group #277015

Character table — Group #277015

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444222244444444448888888844444888888888888888888882244888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ1011111111111-1-1-1-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ1111111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1211111111111-1-1-1-1111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-11
χ1311111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1411111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-111-11
χ1511111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-11
χ1611111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ17222222222-2-22222222-2-2222222-2-2-2-2-2-2-2-200000000-2-2-222000000000000000000000000000000
χ18222222222-2-22222222-2-2-2-2-2-222-2-22222-2-200000000-222-2-2000000000000000000000000000000
χ19222222222-2-2-2-2-2-2222-2-22222-2-222-2-2-2-2-2-200000000222-2-2000000000000000000000000000000
χ20222222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-2000000002-2-222000000000000000000000000000000
χ2122222222-2222222-2-2-2220000-2-2220000-2-222222222-200000000-2-2-2-20000000000000000000000
χ2222222222-2222222-2-2-2220000-2-2220000-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000000000
χ2322222222-222-2-2-2-2-2-2-222000022-2-20000-2-22222-2-2-2-2200000000-2-2220000000000000000000000
χ2422222222-222-2-2-2-2-2-2-222000022-2-20000-2-2-2-2-2-2222220000000022-2-20000000000000000000000
χ2522222222-2-2-22222-2-2-2-2-20000-2-2-2-20000220000000020000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222222-2-2-22222-2-2-2-2-20000-2-2-2-2000022000000002000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-20000222200002200000000-20000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-20000222200002200000000-2000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ29222-22-2-2-202-22i2i−2i−2i0002-20000002i−2i00000022-2-22i2i−2i−2i00000i2i2−i2−i200000000000022−2−20000i2−i22−200
χ30222-22-2-2-202-22i2i−2i−2i0002-20000002i−2i00000022-2-22i2i−2i−2i00000−i2−i2i2i2000000000000−2−2220000−i2i2−2200
χ31222-22-2-2-202-22i2i−2i−2i0002-20000002i−2i000000-2-222−2i−2i2i2i00000i2i2−i2−i200000000000022−2−20000−i2i2−2200
χ32222-22-2-2-202-22i2i−2i−2i0002-20000002i−2i000000-2-222−2i−2i2i2i00000−i2−i2i2i2000000000000−2−2220000i2−i22−200
χ33222-22-2-2-202-2−2i−2i2i2i0002-2000000−2i2i00000022-2-2−2i−2i2i2i00000i2i2−i2−i2000000000000−2−2220000i2−i2−2200
χ34222-22-2-2-202-2−2i−2i2i2i0002-2000000−2i2i00000022-2-2−2i−2i2i2i00000−i2−i2i2i200000000000022−2−20000−i2i22−200
χ35222-22-2-2-202-2−2i−2i2i2i0002-2000000−2i2i000000-2-2222i2i−2i−2i00000i2i2−i2−i2000000000000−2−2220000−i2i22−200
χ36222-22-2-2-202-2−2i−2i2i2i0002-2000000−2i2i000000-2-2222i2i−2i−2i00000−i2−i2i2i200000000000022−2−20000i2−i2−2200
χ3722-22-22-2-22002i−2i2i−2i-2-220022-2-22i−2i000000002−22−2i2−i2i2−i20002i−2i00002−2i2−i22−22−2i2−i2i2−i200000000000000
χ3822-22-22-2-22002i−2i2i−2i-2-220022-2-22i−2i00000000−22−22−i2i2−i2i20002i−2i0000−22−i2i2−22−22−i2i2−i2i200000000000000
χ3922-22-22-2-22002i−2i2i−2i-2-2200-2-2222i−2i000000002−22−2i2−i2i2−i2000−2i2i00002−2i2−i2−22−22−i2i2−i2i200000000000000
χ4022-22-22-2-22002i−2i2i−2i-2-2200-2-2222i−2i00000000−22−22−i2i2−i2i2000−2i2i0000−22−i2i22−22−2i2−i2i2−i200000000000000
χ4122-22-22-2-2200−2i2i−2i2i-2-220022-2-2−2i2i000000002−22−2−i2i2−i2i2000−2i2i00002−2−i2i22−22−2−i2i2−i2i200000000000000
χ4222-22-22-2-2200−2i2i−2i2i-2-220022-2-2−2i2i00000000−22−22i2−i2i2−i2000−2i2i0000−22i2−i2−22−22i2−i2i2−i200000000000000
χ4322-22-22-2-2200−2i2i−2i2i-2-2200-2-222−2i2i000000002−22−2−i2i2−i2i20002i−2i00002−2−i2i2−22−22i2−i2i2−i200000000000000
χ4422-22-22-2-2200−2i2i−2i2i-2-2200-2-222−2i2i00000000−22−22i2−i2i2−i20002i−2i0000−22i2−i22−22−2−i2i2−i2i200000000000000
χ4522-22-22-2-2-2002i−2i2i−2i22-2000000−2i2i002i2i−2i−2i002−22−2i2−i2i2−i202-2000000−22−i2i2i2−i2−i2i2−222−200000000000000
χ4622-22-22-2-2-2002i−2i2i−2i22-2000000−2i2i002i2i−2i−2i00−22−22−i2i2−i2i202-20000002−2i2−i2−i2i2i2−i22−2−2200000000000000
χ4722-22-22-2-2-2002i−2i2i−2i22-2000000−2i2i00−2i−2i2i2i002−22−2i2−i2i2−i20-22000000−22−i2i2−i2i2i2−i22−2−2200000000000000
χ4822-22-22-2-2-2002i−2i2i−2i22-2000000−2i2i00−2i−2i2i2i00−22−22−i2i2−i2i20-220000002−2i2−i2i2−i2−i2i2−222−200000000000000
χ4922-22-22-2-2-200−2i2i−2i2i22-20000002i−2i002i2i−2i−2i002−22−2−i2i2−i2i20-22000000−22i2−i2i2−i2−i2i22−2−2200000000000000
χ5022-22-22-2-2-200−2i2i−2i2i22-20000002i−2i002i2i−2i−2i00−22−22i2−i2i2−i20-220000002−2−i2i2−i2i2i2−i2−222−200000000000000
χ5122-22-22-2-2-200−2i2i−2i2i22-20000002i−2i00−2i−2i2i2i002−22−2−i2i2−i2i202-2000000−22i2−i2−i2i2i2−i2−222−200000000000000
χ5222-22-22-2-2-200−2i2i−2i2i22-20000002i−2i00−2i−2i2i2i00−22−22i2−i2i2−i202-20000002−2−i2i2i2−i2−i2i22−2−2200000000000000
χ532-2-222-22-2-22200002-22-2-22-22-200002-22-22-200000000000002i−2i2i−2i0000000000000000002i−2i000000
χ542-2-222-22-2-22200002-22-2-22-22-200002-22-22-20000000000000−2i2i−2i2i000000000000000000−2i2i000000
χ552-2-222-22-2-22200002-22-2-2-22-220000-22-222-200000000000002i−2i2i−2i000000000000000000−2i2i000000
χ562-2-222-22-2-22200002-22-2-2-22-220000-22-222-20000000000000−2i2i−2i2i0000000000000000002i−2i000000
χ572-2-222-22-2-2-2-200002-22222-22-20000-22-22-22000000000000000000000000000002-22-22-200000000
χ582-2-222-22-2-2-2-200002-22222-22-20000-22-22-2200000000000000000000000000000-22-22-2200000000
χ592-2-222-22-2-2-2-200002-2222-22-2200002-22-2-22000000000000000000000000000002-22-2-2200000000
χ602-2-222-22-2-2-2-200002-2222-22-2200002-22-2-2200000000000000000000000000000-22-222-200000000
χ61444-44-4-4-40-444i4i−4i−4i000-44000000−4i4i0000000000000000000000000000000000000000000000000
χ62444-44-4-4-40-44−4i−4i4i4i000-440000004i−4i0000000000000000000000000000000000000000000000000
χ6344-4-4-4-4440004-4-44000000000000000000022−22−222222−22−222200000000000000000000000000000000000
χ6444-4-4-4-4440004-4-440000000000000000000−222222−22−222222−2200000000000000000000000000000000000
χ6544-4-4-4-444000-444-4000000000000000000022−22−2222−222222−2200000000000000000000000000000000000
χ6644-4-4-4-444000-444-40000000000000000000−222222−2222−22−222200000000000000000000000000000000000
χ674-444-4-4-4440000004-4-400000000004i−4i−4i4i000000000000000000000000000000000000000000000
χ684-444-4-4-4440000004-4-40000000000−4i4i4i−4i000000000000000000000000000000000000000000000
χ694-444-4-4-44-4000000-444004-4-4400000000000000000000000000000000000000000000000000000
χ704-444-4-4-44-4000000-44400-444-400000000000000000000000000000000000000000000000000000
χ714-4-444-44-44440000-44-4-4-4000000000000-440000000000000000000000000000000000000000000
χ724-4-444-44-44-4-40000-44-4440000000000004-40000000000000000000000000000000000000000000
χ734-4-4-444-4404-40000000-4400000000000000000000000000022−22−222200000000000000000000000000
χ744-4-4-444-4404-40000000-44000000000000000000000000000−222222−2200000000000000000000000000
χ754-4-4-444-440-4400000004-4000000000000000000000000000000000000000000022−22−22220000000000
χ764-4-4-444-440-4400000004-40000000000000000000000000000000000000000000−222222−220000000000
χ778-88-8-888-8000000000000000000000000000000000000000000000000000000000000000000000

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