Finite Group Databasebeta

← Group #235213

Character table — Group #235213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222244488888888888888881616161616161111222222224448888888888888888161616161616
order12222244444444444444444888888882444882222224444444444444444488888888244488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ5111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ7111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ9222222222-2-22-2-2-2000022-2-200000000000000222222222-2-22-2-2-2000022-2-200000000000000
χ10222222222-2-22-2-2-20000-2-22200000000000000222222222-2-22-2-2-20000-2-22200000000000000
χ11222222-2-2-222-22-2-20000000000000000002-200222222-2-2-222-22-2-20000000000000000002-200
χ12222222-2-2-222-22-2-2000000000000000000-2200222222-2-2-222-22-2-2000000000000000000-2200
χ13222222-2-2-2-2-2-2-22222-2-2000000000000000000222222-2-2-2-2-2-2-22222-2-2000000000000000000
χ14222222-2-2-2-2-2-2-222-2-222000000000000000000222222-2-2-2-2-2-2-222-2-222000000000000000000
χ152222-2-222-222-2-2-2200000000000022-2-20000002222-2-222-222-2-2-2200000000000022-2-2000000
χ162222-2-222-222-2-2-22000000000000-2-2220000002222-2-222-222-2-2-22000000000000-2-222000000
χ172222-2-222-2-2-2-222-2000000002i2i−2i−2i00000000002222-2-222-2-2-2-222-2000000002i2i−2i−2i0000000000
χ182222-2-222-2-2-2-222-200000000−2i−2i2i2i00000000002222-2-222-2-2-2-222-200000000−2i−2i2i2i0000000000
χ192222-2-2-2-22222-22-2000000000000000000002-22222-2-2-2-22222-22-2000000000000000000002-2
χ202222-2-2-2-22222-22-200000000000000000000-222222-2-2-2-22222-22-200000000000000000000-22
χ212222-2-2-2-22-2-222-2200000000000000002-200002222-2-2-2-22-2-222-2200000000000000002-20000
χ222222-2-2-2-22-2-222-220000000000000000-2200002222-2-2-2-22-2-222-220000000000000000-220000
χ232-22-22-22-2-20020000000002-2i2−i2i2−i2i2−i2i2−i20000002-22-22-22-2-20020000000002-2i2−i2i2−i2i2−i2i2−i2000000
χ242-22-22-22-2-20020000000002-2−i2i2−i2i2−i2i2−i2i20000002-22-22-22-2-20020000000002-2−i2i2−i2i2−i2i2−i2i2000000
χ252-22-22-22-2-2002000000000-22i2−i2i2−i2−i2i2−i2i20000002-22-22-22-2-2002000000000-22i2−i2i2−i2−i2i2−i2i2000000
χ262-22-22-22-2-2002000000000-22−i2i2−i2i2i2−i2i2−i20000002-22-22-22-2-2002000000000-22−i2i2−i2i2i2−i2i2−i2000000
χ272-22-2-222-2200-200000002i−2i002−2−22i2−i2−i2i20000002-22-2-222-2200-200000002i−2i002−2−22i2−i2−i2i2000000
χ282-22-2-222-2200-200000002i−2i00−222−2−i2i2i2−i20000002-22-2-222-2200-200000002i−2i00−222−2−i2i2i2−i2000000
χ292-22-2-222-2200-20000000−2i2i002−2−22−i2i2i2−i20000002-22-2-222-2200-20000000−2i2i002−2−22−i2i2i2−i2000000
χ302-22-2-222-2200-20000000−2i2i00−222−2i2−i2−i2i20000002-22-2-222-2200-20000000−2i2i00−222−2i2−i2−i2i2000000
χ314-44-44-4-44400-400000000000000000000000004-44-44-4-44400-40000000000000000000000000
χ324-44-4-44-44-400400000000000000000000000004-44-4-44-44-40040000000000000000000000000
χ334-4-44000004i−4i00002i−2i2-20000000000000000004-4-44000004i−4i00002i−2i2-2000000000000000000
χ344-4-44000004i−4i0000−2i2i-220000000000000000004-4-44000004i−4i0000−2i2i-22000000000000000000
χ354-4-4400000−4i4i00002i−2i-220000000000000000004-4-4400000−4i4i00002i−2i-22000000000000000000
χ364-4-4400000−4i4i0000−2i2i2-20000000000000000004-4-4400000−4i4i0000−2i2i2-2000000000000000000
χ3788-8-800000000000000000000000000000000088-8-8000000000000000000000000000000000
χ381111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3911111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111
χ401111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ42111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ43111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ44111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ45111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ46222222222-2-22-2-2-2000022-2-200000000000000-2-2-2-2-2-2-2-2-222-22220000-2-22200000000000000
χ47222222222-2-22-2-2-20000-2-22200000000000000-2-2-2-2-2-2-2-2-222-2222000022-2-200000000000000
χ48222222-2-2-222-22-2-20000000000000000002-200-2-2-2-2-2-2222-2-22-222000000000000000000-2200
χ49222222-2-2-222-22-2-2000000000000000000-2200-2-2-2-2-2-2222-2-22-2220000000000000000002-200
χ50222222-2-2-2-2-2-2-22222-2-2000000000000000000-2-2-2-2-2-22222222-2-2-2-222000000000000000000
χ51222222-2-2-2-2-2-2-222-2-222000000000000000000-2-2-2-2-2-22222222-2-222-2-2000000000000000000
χ522222-2-222-222-2-2-2200000000000022-2-2000000-2-2-2-222-2-22-2-2222-2000000000000-2-222000000
χ532222-2-222-222-2-2-22000000000000-2-222000000-2-2-2-222-2-22-2-2222-200000000000022-2-2000000
χ542222-2-222-2-2-2-222-2000000002i2i−2i−2i0000000000-2-2-2-222-2-22222-2-2200000000−2i−2i2i2i0000000000
χ552222-2-222-2-2-2-222-200000000−2i−2i2i2i0000000000-2-2-2-222-2-22222-2-22000000002i2i−2i−2i0000000000
χ562222-2-2-2-22222-22-2000000000000000000002-2-2-2-2-22222-2-2-2-22-2200000000000000000000-22
χ572222-2-2-2-22222-22-200000000000000000000-22-2-2-2-22222-2-2-2-22-22000000000000000000002-2
χ582222-2-2-2-22-2-222-2200000000000000002-20000-2-2-2-22222-222-2-22-20000000000000000-220000
χ592222-2-2-2-22-2-222-220000000000000000-220000-2-2-2-22222-222-2-22-200000000000000002-20000
χ602-22-22-22-2-20020000000002-2i2−i2i2−i2i2−i2i2−i2000000-22-22-22-22200-2000000000-22−i2i2−i2i2−i2i2−i2i2000000
χ612-22-22-22-2-20020000000002-2−i2i2−i2i2−i2i2−i2i2000000-22-22-22-22200-2000000000-22i2−i2i2−i2i2−i2i2−i2000000
χ622-22-22-22-2-2002000000000-22i2−i2i2−i2−i2i2−i2i2000000-22-22-22-22200-20000000002-2−i2i2−i2i2i2−i2i2−i2000000
χ632-22-22-22-2-2002000000000-22−i2i2−i2i2i2−i2i2−i2000000-22-22-22-22200-20000000002-2i2−i2i2−i2−i2i2−i2i2000000
χ642-22-2-222-2200-200000002i−2i002−2−22i2−i2−i2i2000000-22-222-2-22-20020000000−2i2i00−222−2−i2i2i2−i2000000
χ652-22-2-222-2200-200000002i−2i00−222−2−i2i2i2−i2000000-22-222-2-22-20020000000−2i2i002−2−22i2−i2−i2i2000000
χ662-22-2-222-2200-20000000−2i2i002−2−22−i2i2i2−i2000000-22-222-2-22-200200000002i−2i00−222−2i2−i2−i2i2000000
χ672-22-2-222-2200-20000000−2i2i00−222−2i2−i2−i2i2000000-22-222-2-22-200200000002i−2i002−2−22−i2i2i2−i2000000
χ684-44-44-4-44400-40000000000000000000000000-44-44-444-4-40040000000000000000000000000
χ694-44-4-44-44-40040000000000000000000000000-44-444-44-4400-40000000000000000000000000
χ704-4-44000004i−4i00002i−2i2-2000000000000000000-444-400000−4i4i0000−2i2i-22000000000000000000
χ714-4-44000004i−4i0000−2i2i-22000000000000000000-444-400000−4i4i00002i−2i2-2000000000000000000
χ724-4-4400000−4i4i00002i−2i-22000000000000000000-444-4000004i−4i0000−2i2i2-2000000000000000000
χ734-4-4400000−4i4i0000−2i2i2-2000000000000000000-444-4000004i−4i00002i−2i-22000000000000000000
χ7488-8-8000000000000000000000000000000000-8-888000000000000000000000000000000000

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