Finite Group Databasebeta

← Group #303459

Character table — Group #303459

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888444444444488888888224444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1
χ911111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-11-1
χ1011111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-1-1-111-11
χ1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-111-11
χ1211111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111111-1-1-111-1-11-1
χ1311111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-11-1-111-1-1-11
χ1411111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-111-1-1111-1
χ1511111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-111-11-1-1-1-1111-1
χ1611111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-11-11111-1-1-11
χ17222222222222222222-2-2-222-2-2-2-2-20000-2-2000000000000000000220000220000000000-2-200000000
χ18222222222222222222-2-2-222-2-2-2-2-20000-2-2000000000000000000-2-20000-2-200000000002200000000
χ19222222222222-2-2-2-2-2-2222-2-2222-2-22222-2-20000000000000000-2-200-2-2220000000000000000000000
χ20222222222222-2-2-2-2-2-2222-2-2222-2-2-2-2-2-2-2-20000000000000000220022-2-20000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22200002200000000000000000000000000000000002-2002-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000220000000000000000000000000000000000-2200-22000000
χ2322222222-2-2-2-222-2-2-2-2-2-2-222-222220000-2-2000000000000000000220000-2-200000000002-200000000
χ2422222222-2-2-2-222-2-2-2-2-2-2-222-222220000-2-2000000000000000000-2-20000220000000000-2200000000
χ2522222222-2-2-2-2-2-22222222-2-22-2-2222222-2-200000000000000002200-2-2-2-20000000000000000000000
χ2622222222-2-2-2-2-2-22222222-2-22-2-222-2-2-2-2-2-20000000000000000-2-20022220000000000000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-200002200000000000000000000000000000000002-200-22000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-20000220000000000000000000000000000000000-22002-2000000
χ29222-2-22-2-222-2-20000002-2-20022-2002i2i−2i−2i00i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000002i−2i0022−2−222−2−2000000000000
χ30222-2-22-2-222-2-20000002-2-20022-2002i2i−2i−2i00−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000002i−2i00−2−222−2−222000000000000
χ31222-2-22-2-222-2-20000002-2-20022-200−2i−2i2i2i00i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000−2i2i00−2−222−2−222000000000000
χ32222-2-22-2-222-2-20000002-2-20022-200−2i−2i2i2i00−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000−2i2i0022−2−222−2−2000000000000
χ33222-2-22-2-2-2-2220000002-2-2002-22002i2i−2i−2i00i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000−2i2i0022−2−2−2−222000000000000
χ34222-2-22-2-2-2-2220000002-2-2002-22002i2i−2i−2i00−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000−2i2i00−2−22222−2−2000000000000
χ35222-2-22-2-2-2-2220000002-2-2002-2200−2i−2i2i2i00i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000002i−2i00−2−22222−2−2000000000000
χ36222-2-22-2-2-2-2220000002-2-2002-2200−2i−2i2i2i00−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000002i−2i0022−2−2−2−222000000000000
χ372-222-2-22-22i−2i2i−2i2-22i2i−2i−2i0002-20000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2002-200002i−2i000000000000002−2i2−i200
χ382-222-2-22-22i−2i2i−2i2-22i2i−2i−2i0002-20000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200-220000−2i2i00000000000000−22−i2i200
χ392-222-2-22-22i−2i2i−2i2-22i2i−2i−2i0002-200000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2002-200002i−2i00000000000000−22−i2i200
χ402-222-2-22-22i−2i2i−2i2-22i2i−2i−2i0002-200000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200-220000−2i2i000000000000002−2i2−i200
χ412-222-2-22-2−2i2i−2i2i2-2−2i−2i2i2i0002-20000000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2002-20000−2i2i000000000000002−2−i2i200
χ422-222-2-22-2−2i2i−2i2i2-2−2i−2i2i2i0002-20000000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200-2200002i−2i00000000000000−22i2−i200
χ432-222-2-22-2−2i2i−2i2i2-2−2i−2i2i2i0002-200000000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2002-20000−2i2i00000000000000−22i2−i200
χ442-222-2-22-2−2i2i−2i2i2-2−2i−2i2i2i0002-200000000000−2−222−2−222i2i2−i2−i2i2i2−i2−i200-2200002i−2i000000000000002−2−i2i200
χ452-2-22-22-2200002-2000022-2-22-200002-22-22-2000000002i−2i2i−2i2i−2i2i−2i00002-2000000002i−2i2i−2i000000000000
χ462-2-22-22-2200002-2000022-2-22-200002-22-22-200000000−2i2i−2i2i−2i2i−2i2i00002-200000000−2i2i−2i2i000000000000
χ472-2-22-22-2200002-2000022-2-22-20000-22-222-2000000002i−2i2i−2i2i−2i2i−2i0000-2200000000−2i2i−2i2i000000000000
χ482-2-22-22-2200002-2000022-2-22-20000-22-222-200000000−2i2i−2i2i−2i2i−2i2i0000-22000000002i−2i2i−2i000000000000
χ492-2-22-22-220000-22000022-22-2-200002-22-2-222i−2i2i−2i2i−2i2i−2i000000000000-2200002i−2i2i−2i0000000000000000
χ502-2-22-22-220000-22000022-22-2-200002-22-2-22−2i2i−2i2i−2i2i−2i2i000000000000-220000−2i2i−2i2i0000000000000000
χ512-2-22-22-220000-22000022-22-2-20000-22-22-222i−2i2i−2i2i−2i2i−2i0000000000002-20000−2i2i−2i2i0000000000000000
χ522-2-22-22-220000-22000022-22-2-20000-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000002-200002i−2i2i−2i0000000000000000
χ532-2-2-2222-20000002-22-22-2200-2002-22i−2i−2i2i002−22−2−22−222−22−2−22−222i−2i00000000−i2i2i2−i2−i2i2i2−i2000000000000
χ542-2-2-2222-20000002-22-22-2200-2002-22i−2i−2i2i00−22−222−22−2−22−222−22−22i−2i00000000i2−i2−i2i2i2−i2−i2i2000000000000
χ552-2-2-2222-20000002-22-22-2200-2002-2−2i2i2i−2i002−22−2−22−222−22−2−22−22−2i2i00000000i2−i2−i2i2i2−i2−i2i2000000000000
χ562-2-2-2222-20000002-22-22-2200-2002-2−2i2i2i−2i00−22−222−22−2−22−222−22−2−2i2i00000000−i2i2i2−i2−i2i2i2−i2000000000000
χ572-2-2-2222-2000000-22-222-2200-200-222i−2i−2i2i002−22−2−22−22−22−222−22−2−2i2i00000000−i2i2i2−i2i2−i2−i2i2000000000000
χ582-2-2-2222-2000000-22-222-2200-200-222i−2i−2i2i00−22−222−22−22−22−2−22−22−2i2i00000000i2−i2−i2i2−i2i2i2−i2000000000000
χ592-2-2-2222-2000000-22-222-2200-200-22−2i2i2i−2i002−22−2−22−22−22−222−22−22i−2i00000000i2−i2−i2i2−i2i2i2−i2000000000000
χ602-2-2-2222-2000000-22-222-2200-200-22−2i2i2i−2i00−22−222−22−22−22−2−22−222i−2i00000000−i2i2i2−i2i2−i2−i2i2000000000000
χ61444-4-44-4-444-4-4000000-44400-4-44000000000000000000000000000000000000000000000000000000
χ62444-4-44-4-4-4-444000000-44400-44-4000000000000000000000000000000000000000000000000000000
χ6344-444-4-4-40000440000000-4-4000000000000000000022−22−222222−22−2222000000000000000000000000000000
χ6444-444-4-4-40000440000000-4-40000000000000000000−222222−22−222222−22000000000000000000000000000000
χ6544-444-4-4-40000-4-4000000044000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ6644-444-4-4-40000-4-400000004400000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ6744-4-4-4-4440000004i−4i−4i4i00000000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ6844-4-4-4-4440000004i−4i−4i4i0000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ6944-4-4-4-444000000−4i4i4i−4i00000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ7044-4-4-4-444000000−4i4i4i−4i0000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ714-444-4-44-44i−4i4i−4i-44−4i−4i4i4i000-44000000000000000000000000000000000000000000000000000000000
χ724-444-4-44-4−4i4i−4i4i-444i4i−4i−4i000-44000000000000000000000000000000000000000000000000000000000
χ734-44-44-4-444i−4i−4i4i00000000000000000000002i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000
χ744-44-44-4-444i−4i−4i4i0000000000000000000000−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000000000000000000000000000
χ754-44-44-4-44−4i4i4i−4i00000000000000000000002i2i−2i−2i−2i−2i2i2i22-2-2-2-222000000000000000000000000000000
χ764-44-44-4-44−4i4i4i−4i0000000000000000000000−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000
χ774-4-44-44-4400004-40000-4-44-44400000000-440000000000000000000000000000000000000000000000
χ784-4-44-44-440000-440000-4-444-44000000004-40000000000000000000000000000000000000000000000
χ794-4-4-4444-40000004-44-4-44-400400-440000000000000000000000000000000000000000000000000000
χ804-4-4-4444-4000000-44-44-44-4004004-40000000000000000000000000000000000000000000000000000

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