Finite Group Databasebeta

← Group #235167

Character table — Group #235167

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111122222222222222222244444488888888888888888888888816161616161616161616161616161616
order12222222222244444444442224444444444488888888888888882222444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-11-1-1-111-1-11111
χ9111111-1-11111-1-1-1-1-1-1-1-111-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ10111111-1-11111-1-1-1-1-1-1-1-111-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ11111111-1-11111-1-1-1-1-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-11-1-1-1-1-111-1-111
χ12111111-1-11111-1-1-1-1-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-111111-1-111-1-1
χ13111111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ14111111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111
χ15111111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-111-11-11-1-111-1-1-1-111
χ16111111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-11-111-1-11111-1-1
χ17222222222222-2-2-2-2-2-2-2-2-2-2222-2-2-222-2-222-2-200000000000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-222-2-22200000000000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-2222-2-2-2-2200000000000000000000000000020-200002-20000
χ2022222222-2-2-2-22222-2-2-2-2222-2-2-2-22000000000000000000000000000-2020000-220000
χ2122222222-2-2-2-2-2-2-2-22222-2-22-2-222-20000000000000000000000000000000000002i−2i2i−2i
χ2222222222-2-2-2-2-2-2-2-22222-2-22-2-222-2000000000000000000000000000000000000−2i2i−2i2i
χ23222222-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-22200000000000000000000000000000000
χ24222222-2-2222222222222-2-2-2-2-2-2-2-2-2-22222-2-200000000000000000000000000000000
χ25222222-2-2-2-2-2-22222-2-2-2-2-2-2-22222-20000000000000000000000000000000000002i−2i−2i2i
χ26222222-2-2-2-2-2-22222-2-2-2-2-2-2-22222-2000000000000000000000000000000000000−2i2i2i−2i
χ27222222-2-2-2-2-2-2-2-2-2-2222222-222-2-2200000000000000000000000000020-20000-220000
χ28222222-2-2-2-2-2-2-2-2-2-2222222-222-2-22000000000000000000000000000-20200002-20000
χ292222-2-22222-2-222-2-222-2-222-22-22-2-20000000000000000000000000020-20002-2000000
χ302222-2-22222-2-222-2-222-2-222-22-22-2-200000000000000000000000000-202000-22000000
χ312222-2-22222-2-2-2-222-2-222-2-2-22-2-2220000000000000000000000002-200002-200000000
χ322222-2-22222-2-2-2-222-2-222-2-2-22-2-222000000000000000000000000-220000-2200000000
χ332222-2-222-2-22222-2-2-2-22222-2-22-22-20000000022-2-222-2-2000000000000000000000000
χ342222-2-222-2-22222-2-2-2-22222-2-22-22-200000000-2-222-2-222000000000000000000000000
χ352222-2-222-2-222-2-22222-2-2-2-2-2-222-22000000000000000022-2-222-2-20000000000000000
χ362222-2-222-2-222-2-22222-2-2-2-2-2-222-220000000000000000-2-222-2-2220000000000000000
χ372222-2-2-2-222-2-222-2-222-2-2-2-22-22-2220000000000000000000000002-20000-2200000000
χ382222-2-2-2-222-2-222-2-222-2-2-2-22-22-222000000000000000000000000-2200002-200000000
χ392222-2-2-2-222-2-2-2-222-2-222222-222-2-20000000000000000000000000020-2000-22000000
χ402222-2-2-2-222-2-2-2-222-2-222222-222-2-200000000000000000000000000-2020002-2000000
χ412222-2-2-2-2-2-22222-2-2-2-222-2-222-22-22000000000000000022-2-2-2-2220000000000000000
χ422222-2-2-2-2-2-22222-2-2-2-222-2-222-22-220000000000000000-2-22222-2-20000000000000000
χ432222-2-2-2-2-2-222-2-22222-2-22222-2-22-20000000022-2-2-2-222000000000000000000000000
χ442222-2-2-2-2-2-222-2-22222-2-22222-2-22-200000000-2-22222-2-2000000000000000000000000
χ4522-2-22-2002-22-22i−2i2i−2i2i−2i2i−2i00000000002-22i−2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i20000000000000000
χ4622-2-22-2002-22-22i−2i2i−2i2i−2i2i−2i00000000002-22i−2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i20000000000000000
χ4722-2-22-2002-22-22i−2i2i−2i2i−2i2i−2i0000000000-22−2i2i002−22−2i2−i2i2−i2−22−22−i2i2−i2i20000000000000000
χ4822-2-22-2002-22-22i−2i2i−2i2i−2i2i−2i0000000000-22−2i2i00−22−22−i2i2−i2i22−22−2i2−i2i2−i20000000000000000
χ4922-2-22-2002-22-2−2i2i−2i2i−2i2i−2i2i00000000002-2−2i2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i20000000000000000
χ5022-2-22-2002-22-2−2i2i−2i2i−2i2i−2i2i00000000002-2−2i2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i20000000000000000
χ5122-2-22-2002-22-2−2i2i−2i2i−2i2i−2i2i0000000000-222i−2i002−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000
χ5222-2-22-2002-22-2−2i2i−2i2i−2i2i−2i2i0000000000-222i−2i00−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000
χ5322-2-2-2200-222-22i−2i−2i2i−2i2i2i−2i000000002-200002i−2i2−2−22i2−i2−i2i22−2−22−i2i2i2−i20000000000000000
χ5422-2-2-2200-222-22i−2i−2i2i−2i2i2i−2i000000002-200002i−2i−222−2−i2i2i2−i2−222−2i2−i2−i2i20000000000000000
χ5522-2-2-2200-222-22i−2i−2i2i−2i2i2i−2i00000000-220000−2i2i2−2−22i2−i2−i2i2−222−2i2−i2−i2i20000000000000000
χ5622-2-2-2200-222-22i−2i−2i2i−2i2i2i−2i00000000-220000−2i2i−222−2−i2i2i2−i22−2−22−i2i2i2−i20000000000000000
χ5722-2-2-2200-222-2−2i2i2i−2i2i−2i−2i2i000000002-20000−2i2i2−2−22−i2i2i2−i22−2−22i2−i2−i2i20000000000000000
χ5822-2-2-2200-222-2−2i2i2i−2i2i−2i−2i2i000000002-20000−2i2i−222−2i2−i2−i2i2−222−2−i2i2i2−i20000000000000000
χ5922-2-2-2200-222-2−2i2i2i−2i2i−2i−2i2i00000000-2200002i−2i2−2−22−i2i2i2−i2−222−2−i2i2i2−i20000000000000000
χ6022-2-2-2200-222-2−2i2i2i−2i2i−2i−2i2i00000000-2200002i−2i−222−2i2−i2−i2i22−2−22i2−i2−i2i20000000000000000
χ6144-4-44-400-44-444i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000
χ6244-4-44-400-44-44−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000
χ6344-4-4-44004-4-444i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000
χ6444-4-4-44004-4-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000
χ658-88-800000000000000008-80000000000000000000000000000000000000000000000
χ668-88-80000000000000000-880000000000000000000000000000000000000000000000
χ678-8-88008-8000000000000000000000000000000000000000000000000000000000000
χ688-8-8800-88000000000000000000000000000000000000000000000000000000000000

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