Finite Group Databasebeta

← Group #274138

Character table — Group #274138

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444448888888824444888888888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ172222222222222-2-222-2-22-2-22222-2-2-2-222-2-200000000-222-2-2000000000000000000000000000000
χ182222222222222-2-222-2-22-2-2-2-2-2-2222222-2-200000000-2-2-222000000000000000000000000000000
χ19222222222222-222-2-222-2-2-200000000-2-22222222222-20000-2-2-2-200000000000000000000000000
χ20222222222222-222-2-222-2-2-200000000-2-222-2-2-2-2-2-2-2-2-20000222200000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-22200000000-2-2-2-20000000020000000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ22222222222222-2-2-2-2-2-2-2-22200000000-2-2-2-2000000002000000000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2322222222-2-2-2-22-2-222-2-22-2-22222-2-2-2-2-2-222000000002-2-222000000000000000000000000000000
χ2422222222-2-2-2-22-2-222-2-22-2-2-2-2-2-22222-2-22200000000222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-222-2-222-2-2-20000000022-2-22222-2-2-2-220000-2-22200000000000000000000000000
χ2622222222-2-2-2-2-222-2-222-2-2-20000000022-2-2-2-2-2-222222000022-2-200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22200000000222200000000-20000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22200000000222200000000-2000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ29222-2-2-2-222i2i−2i−2i200-2-200200000022-2-22i−2i0022−2−2i2i2−i2−i20002i−2i2−2i2−i200002−22−2i2−i2i2−i200000000000000
χ30222-2-2-2-222i2i−2i−2i200-2-200200000022-2-22i−2i00−2−222−i2−i2i2i20002i−2i−22−i2i20000−22−22−i2i2−i2i200000000000000
χ31222-2-2-2-222i2i−2i−2i200-2-2002000000-2-2222i−2i0022−2−2i2i2−i2−i2000−2i2i2−2i2−i20000−22−22−i2i2−i2i200000000000000
χ32222-2-2-2-222i2i−2i−2i200-2-2002000000-2-2222i−2i00−2−222−i2−i2i2i2000−2i2i−22−i2i200002−22−2i2−i2i2−i200000000000000
χ33222-2-2-2-222i2i−2i−2i-2002200-2002i2i−2i−2i0000−2i2i0022−2−2i2i2−i2−i202-200−22−i2i20000i2−i2−i2i2−222−200000000000000
χ34222-2-2-2-222i2i−2i−2i-2002200-2002i2i−2i−2i0000−2i2i00−2−222−i2−i2i2i202-2002−2i2−i20000−i2i2i2−i22−2−2200000000000000
χ35222-2-2-2-222i2i−2i−2i-2002200-200−2i−2i2i2i0000−2i2i0022−2−2i2i2−i2−i20-2200−22−i2i20000−i2i2i2−i22−2−2200000000000000
χ36222-2-2-2-222i2i−2i−2i-2002200-200−2i−2i2i2i0000−2i2i00−2−222−i2−i2i2i20-22002−2i2−i20000i2−i2−i2i2−222−200000000000000
χ37222-2-2-2-22−2i−2i2i2i200-2-200200000022-2-2−2i2i0022−2−2−i2−i2i2i2000−2i2i2−2−i2i200002−22−2−i2i2−i2i200000000000000
χ38222-2-2-2-22−2i−2i2i2i200-2-200200000022-2-2−2i2i00−2−222i2i2−i2−i2000−2i2i−22i2−i20000−22−22i2−i2i2−i200000000000000
χ39222-2-2-2-22−2i−2i2i2i200-2-2002000000-2-222−2i2i0022−2−2−i2−i2i2i20002i−2i2−2−i2i20000−22−22i2−i2i2−i200000000000000
χ40222-2-2-2-22−2i−2i2i2i200-2-2002000000-2-222−2i2i00−2−222i2i2−i2−i20002i−2i−22i2−i200002−22−2−i2i2−i2i200000000000000
χ41222-2-2-2-22−2i−2i2i2i-2002200-2002i2i−2i−2i00002i−2i0022−2−2−i2−i2i2i20-2200−22i2−i20000i2−i2−i2i22−2−2200000000000000
χ42222-2-2-2-22−2i−2i2i2i-2002200-2002i2i−2i−2i00002i−2i00−2−222i2i2−i2−i20-22002−2−i2i20000−i2i2i2−i2−222−200000000000000
χ43222-2-2-2-22−2i−2i2i2i-2002200-200−2i−2i2i2i00002i−2i0022−2−2−i2−i2i2i202-200−22i2−i20000−i2i2i2−i2−222−200000000000000
χ44222-2-2-2-22−2i−2i2i2i-2002200-200−2i−2i2i2i00002i−2i00−2−222i2i2−i2−i202-2002−2−i2i20000i2−i2−i2i22−2−2200000000000000
χ4522-2-2-222-22i−2i2i−2i02-2002-200000000000002i−2i2-22-22i−2i2i−2i000000000i2i2−i2−i20000000022−2−20000i2−i22−200
χ4622-2-2-222-22i−2i2i−2i02-2002-200000000000002i−2i2-22-22i−2i2i−2i000000000−i2−i2i2i200000000−2−2220000−i2i2−2200
χ4722-2-2-222-22i−2i2i−2i02-2002-200000000000002i−2i-22-22−2i2i−2i2i000000000i2i2−i2−i20000000022−2−20000−i2i2−2200
χ4822-2-2-222-22i−2i2i−2i02-2002-200000000000002i−2i-22-22−2i2i−2i2i000000000−i2−i2i2i200000000−2−2220000i2−i22−200
χ4922-2-2-222-2−2i2i−2i2i02-2002-20000000000000−2i2i2-22-2−2i2i−2i2i000000000i2i2−i2−i200000000−2−2220000i2−i2−2200
χ5022-2-2-222-2−2i2i−2i2i02-2002-20000000000000−2i2i2-22-2−2i2i−2i2i000000000−i2−i2i2i20000000022−2−20000−i2i22−200
χ5122-2-2-222-2−2i2i−2i2i02-2002-20000000000000−2i2i-22-222i−2i2i−2i000000000i2i2−i2−i200000000−2−2220000−i2i22−200
χ5222-2-2-222-2−2i2i−2i2i02-2002-20000000000000−2i2i-22-222i−2i2i−2i000000000−i2−i2i2i20000000022−2−20000i2−i2−2200
χ532-2-22-22-22000022-22-2-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000002i−2i2i−2i0000000000002-200000000
χ542-2-22-22-22000022-22-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000−2i2i−2i2i000000000000-2200000000
χ552-2-22-22-22000022-22-2-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000002i−2i2i−2i000000000000-2200000000
χ562-2-22-22-22000022-22-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000−2i2i−2i2i0000000000002-200000000
χ572-2-22-22-2200002-222-22-2-2-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000002i−2i2i−2i002-2000000
χ582-2-22-22-2200002-222-22-2-2-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000−2i2i−2i2i00-22000000
χ592-2-22-22-2200002-222-22-2-2-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000002i−2i2i−2i00-22000000
χ602-2-22-22-2200002-222-22-2-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000−2i2i−2i2i002-2000000
χ6144-444-4-4-44-4-44000000000000000000000022−22−222222−22−222200000000000000000000000000000000000
χ6244-444-4-4-44-4-440000000000000000000000−222222−22−222222−2200000000000000000000000000000000000
χ6344-444-4-4-4-444-4000000000000000000000022−22−2222−222222−2200000000000000000000000000000000000
χ6444-444-4-4-4-444-40000000000000000000000−222222−2222−22−222200000000000000000000000000000000000
χ6544-4-4-444-44i−4i4i−4i0-4400-440000000000000−4i4i0000000000000000000000000000000000000000000
χ6644-4-4-444-4−4i4i−4i4i0-4400-4400000000000004i−4i0000000000000000000000000000000000000000000
χ674-44-444-4-4000004400-4-40000000000000000000000000000000022−22−22220000000000000000000000
χ684-44-444-4-4000004400-4-400000000000000000000000000000000−222222−220000000000000000000000
χ694-44-444-4-400000-4-40044000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ704-44-444-4-400000-4-4004400000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ714-4-44-44-440000-44-4-44-444-440000000000000000000000000000000000000000000000000000000
χ724-4-44-44-440000-4-44-444-444-40000000000000000000000000000000000000000000000000000000
χ734-4-4-44-4440000400-4400-40000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ744-4-4-44-4440000400-4400-4000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ754-4-4-44-4440000-4004-4004004-4-44000000000000000000000000000000000000000000000000000
χ764-4-4-44-4440000-4004-400400-444-4000000000000000000000000000000000000000000000000000
χ778-888-8-88-8000000000000000000000000000000000000000000000000000000000000000000000

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