Finite Group Databasebeta

← Group #394949

Character table — Group #394949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222222222222222444444442222222244444444444422444444444444442444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1111111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-1-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-11111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-111
χ172222222222-2-2-2-222-2-2-2-22222222200000000-2-2-2-20000000022-2-2-2-222000000000000000000000000
χ182222222222-2-2-2-222-2-2-2-22222222200000000-2-2-2-200000000-2-22222-2-2000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000022-2-222-2-2000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000-2-222-2-222000000000000000000000000
χ2122222222-2-222-2-2-2-222-2-22222-2-2-2-20000000022-2-20000000000000000000000000002-202-200000000
χ2222222222-2-222-2-2-2-222-2-22222-2-2-2-20000000022-2-2000000000000000000000000000-220-2200000000
χ2322222222-2-222-2-2-2-222-2-2-2-2-2-2222200000000-2-2220000000000000000000000000002-20-2200000000
χ2422222222-2-222-2-2-2-222-2-2-2-2-2-2222200000000-2-222000000000000000000000000000-2202-200000000
χ2522222222-2-2-2-222-2-2-2-2222222-2-2-2-200000000-2-22200000000000000000000000022-200-20000000000
χ2622222222-2-2-2-222-2-2-2-2222222-2-2-2-200000000-2-222000000000000000000000000-2-220020000000000
χ2722222222-2-2-2-222-2-2-2-222-2-2-2-222220000000022-2-20000000000000000000000002-2200-20000000000
χ2822222222-2-2-2-222-2-2-2-222-2-2-2-222220000000022-2-2000000000000000000000000-22-20020000000000
χ29222-2-22-2-22-222-2-22-2-2-222000000002222-2-2-2-200000000000000002i−2i2i−2i00002i2i−2i−2i0000000000000000
χ30222-2-22-2-22-222-2-22-2-2-222000000002222-2-2-2-20000000000000000−2i2i−2i2i0000−2i−2i2i2i0000000000000000
χ31222-2-22-2-22-222-2-22-2-2-22200000000-2-2-2-2222200000000000000002i−2i2i−2i0000−2i−2i2i2i0000000000000000
χ32222-2-22-2-22-222-2-22-2-2-22200000000-2-2-2-222220000000000000000−2i2i−2i2i00002i2i−2i−2i0000000000000000
χ33222-2-22-2-22-2-2-2222-222-2-2000000000000000000002i2i2i2i−2i−2i−2i−2i00002i−2i−2i2i22-2-200000000000000000000
χ34222-2-22-2-22-2-2-2222-222-2-2000000000000000000002i2i2i2i−2i−2i−2i−2i0000−2i2i2i−2i-2-22200000000000000000000
χ35222-2-22-2-22-2-2-2222-222-2-200000000000000000000−2i−2i−2i−2i2i2i2i2i00002i−2i−2i2i-2-22200000000000000000000
χ36222-2-22-2-22-2-2-2222-222-2-200000000000000000000−2i−2i−2i−2i2i2i2i2i0000−2i2i2i−2i22-2-200000000000000000000
χ372-2-2222-2-22-22-22-2-222-22-22i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i0000000000000000000000000000000000002i−2i2-2
χ382-2-2222-2-22-22-22-2-222-22-22i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i000000000000000000000000000000000000−2i2i-22
χ392-2-2222-2-22-22-22-2-222-22-2−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i0000000000000000000000000000000000002i−2i-22
χ402-2-2222-2-22-22-22-2-222-22-2−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i000000000000000000000000000000000000−2i2i2-2
χ412-2-2222-2-22-2-22-22-22-22-222i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i000000000000000000000000000000002-22i−2i0000
χ422-2-2222-2-22-2-22-22-22-22-222i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i00000000000000000000000000000000-22−2i2i0000
χ432-2-2222-2-22-2-22-22-22-22-22−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i000000000000000000000000000000002-2−2i2i0000
χ442-2-2222-2-22-2-22-22-22-22-22−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i00000000000000000000000000000000-222i−2i0000
χ452-2-2222-2-2-222-2-222-22-2-222i2i−2i−2i−2i−2i2i2i22-2-222-2-22i−2i−2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ462-2-2222-2-2-222-2-222-22-2-222i2i−2i−2i−2i−2i2i2i-2-222-2-2222i−2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ472-2-2222-2-2-222-2-222-22-2-22−2i−2i2i2i2i2i−2i−2i22-2-222-2-2−2i2i2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ482-2-2222-2-2-222-2-222-22-2-22−2i−2i2i2i2i2i−2i−2i-2-222-2-222−2i2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ492-2-2222-2-2-22-222-22-2-222-22i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i00000000000000002-22-22i−2i2i−2i0000000000000000
χ502-2-2222-2-2-22-222-22-2-222-22i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i0000000000000000-22-22−2i2i−2i2i0000000000000000
χ512-2-2222-2-2-22-222-22-2-222-2−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i00000000000000002-22-2−2i2i−2i2i0000000000000000
χ522-2-2222-2-2-22-222-22-2-222-2−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i0000000000000000-22-222i−2i2i−2i0000000000000000
χ532-2-2-2-2222-2-22-22-222-22-220000000022-2-2-2-2220000000000002-22-200002-2-2200000000000000000000
χ542-2-2-2-2222-2-22-22-222-22-220000000022-2-2-2-222000000000000-22-220000-222-200000000000000000000
χ552-2-2-2-2222-2-22-22-222-22-2200000000-2-22222-2-20000000000002-22-20000-222-200000000000000000000
χ562-2-2-2-2222-2-22-22-222-22-2200000000-2-22222-2-2000000000000-22-2200002-2-2200000000000000000000
χ572-2-2-2-2222-2-2-22-22222-22-20000000000000000000022-2-2-2-2222-2-2200000000-222-20000000000000000
χ582-2-2-2-2222-2-2-22-22222-22-20000000000000000000022-2-2-2-222-222-2000000002-2-220000000000000000
χ592-2-2-2-2222-2-2-22-22222-22-200000000000000000000-2-22222-2-22-2-22000000002-2-220000000000000000
χ602-2-2-2-2222-2-2-22-22222-22-200000000000000000000-2-22222-2-2-222-200000000-222-20000000000000000
χ61444-4-44-4-4-444444-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ62444-4-44-4-4-44-4-4-4-4-444444000000000000000000000000000000000000000000000000000000000000
χ6344-44-4-44-400000000000000004i−4i4i−4i2-22-22-22-200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ6444-44-4-44-400000000000000004i−4i4i−4i-22-22-22-220000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ6544-44-4-44-40000000000000000−4i4i−4i4i2-22-22-22-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ6644-44-4-44-40000000000000000−4i4i−4i4i-22-22-22-2200002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ6744-4-44-4-440000000000004-44-400002-22-2-22-2200002-22-2-22-2200000000000000000000000000000000
χ6844-4-44-4-440000000000004-44-40000-22-222-22-20000-22-222-22-200000000000000000000000000000000
χ6944-4-44-4-44000000000000-44-4400002-22-2-22-220000-22-222-22-200000000000000000000000000000000
χ7044-4-44-4-44000000000000-44-440000-22-222-22-200002-22-2-22-2200000000000000000000000000000000
χ714-444-4-4-4400000000000000004-4-442-2-222-2-220000-222-2-222-200000000000000000000000000000000
χ724-444-4-4-4400000000000000004-4-44-222-2-222-200002-2-222-2-2200000000000000000000000000000000
χ734-444-4-4-440000000000000000-444-42-2-222-2-2200002-2-222-2-2200000000000000000000000000000000
χ744-444-4-4-440000000000000000-444-4-222-2-222-20000-222-2-222-200000000000000000000000000000000
χ754-44-44-44-40000000000004i−4i−4i4i00002-2-22-222-200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ764-44-44-44-40000000000004i−4i−4i4i0000-222-22-2-220000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ774-44-44-44-4000000000000−4i4i4i−4i00002-2-22-222-20000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ784-44-44-44-4000000000000−4i4i4i−4i0000-222-22-2-2200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ794-4-4-4-4444444-4-44-4-4-444-4000000000000000000000000000000000000000000000000000000000000
χ804-4-4-4-444444-444-4-4-44-4-44000000000000000000000000000000000000000000000000000000000000

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