Finite Group Databasebeta

← Group #349066

Character table — Group #349066

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222222222224444444444444444444444488888888888888888161616161616161632323232
order12222244444488882222444444488888888888822244444888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11111-1-1111111111-1-1-1-11-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111-1-11111-1-1111111111-1-1-1-11-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-1-11111-1-11111111-1-1-1-11111-1-1-111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111-1-11111-1-11111111-1-1-1-11111-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-111-1-11111-1-11-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-111-1-1111111-1-1-1-1111-1-11
χ12111111111111-1-1-1-111-1-11111-1-11-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-111-1-11111-1-11111-1-1-111-1
χ13111111111111-1-1-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-11-11
χ14111111111111-1-1-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1111-11-1
χ15111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111111111-111-1-1-111-11111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111111111-111-1-1-111-11111-1-1-1-1-1-11111-1-11-1-11
χ172222222-2-2-22-2000022002-2-2-200-2000000002i2i−2i−2i20000-20002i−2i002i2i−2i−2i000000000000
χ182222222-2-2-22-2000022002-2-2-200-200000000−2i−2i2i2i20000-2000−2i2i00−2i−2i2i2i000000000000
χ192222222-2-2-22-20000-2-2002-22200-2000000002i2i−2i−2i-2000020002i−2i00−2i−2i2i2i000000000000
χ202222222-2-2-22-20000-2-2002-22200-200000000−2i−2i2i2i-200002000−2i2i002i2i−2i−2i000000000000
χ21222222-2222-2222220022-2-20022-2-2-22200002222000-2-2000-2-2-2000000000000000000
χ22222222-2222-22222200-2-2-2-200-2-2-2-2-2220000-2-2-2-200022000-222000000000000000000
χ23222222-2222-22-2-2-2-20022-2-20022-222-2-20000-2-2-2-2000-2-2000222000000000000000000
χ24222222-2222-22-2-2-2-200-2-2-2-200-2-2-222-2-200002222000220002-2-2000000000000000000
χ25222222-2-2-2-2-2-200000000-220000200002i2i−2i−2i2i2i−2i−2i02-20002-20−2i2i2i−2i0000000000000000
χ26222222-2-2-2-2-2-200000000-220000200002i2i−2i−2i−2i−2i2i2i0-22000-2202i−2i2i−2i0000000000000000
χ27222222-2-2-2-2-2-200000000-22000020000−2i−2i2i2i2i2i−2i−2i0-22000-220−2i2i−2i2i0000000000000000
χ28222222-2-2-2-2-2-200000000-22000020000−2i−2i2i2i−2i−2i2i2i02-20002-202i−2i−2i2i0000000000000000
χ292222-2-2222-22-200002222-2-2-2-2-2-22000000000000-2222-22-2-2000000000000000000000
χ302222-2-2222-22-2000022-2-2-2-2-2-2222000000000000-2-2-2-22222000000000000000000000
χ312222-2-2222-22-20000-2-222-2-222-2-220000000000002-2-22-2-222000000000000000000000
χ322222-2-2222-22-20000-2-2-2-2-2-222222000000000000222-22-2-2-2000000000000000000000
χ332222-2-22-2-222222222200-222200-222-2-222220000-20000-200-200-2-20000000000000000
χ342222-2-22-2-22222222-2-200-22-2-200-222-2-2-2-2-2-2000020000200-200220000000000000000
χ352222-2-22-2-2222-2-2-2-22200-222200-2-2-222-2-2-2-20000-20000-200200220000000000000000
χ362222-2-22-2-2222-2-2-2-2-2-200-22-2-200-2-2-2222222000020000200200-2-20000000000000000
χ372222-2-2-222-2-2-2000000222200-2-2-200002i2i−2i−2i0000000-22000000−2i2i2i−2i2i−2i000000000000
χ382222-2-2-222-2-2-2000000222200-2-2-20000−2i−2i2i2i0000000-220000002i−2i−2i2i−2i2i000000000000
χ392222-2-2-222-2-2-2000000-2-2220022-200002i2i−2i−2i00000002-2000000−2i2i−2i2i−2i2i000000000000
χ402222-2-2-222-2-2-2000000-2-2220022-20000−2i−2i2i2i00000002-20000002i−2i2i−2i2i−2i000000000000
χ412222-2-2-2-2-22-22222200002-200002-2-2-2-20000000002-2000-22200002-2-22000000000000
χ422222-2-2-2-2-22-22222200002-200002-2-2-2-2000000000-220002-220000-222-2000000000000
χ432222-2-2-2-2-22-22-2-2-2-200002-20000222220000000002-2000-22-20000-222-2000000000000
χ442222-2-2-2-2-22-22-2-2-2-200002-2000022222000000000-220002-2-200002-2-22000000000000
χ452-2-222-202-220-22i2i−2i−2i002-200002-20002i−2i00002i−2i2i−2i00000000000000000i2−i22−2i2−i22−20000
χ462-2-222-202-220-22i2i−2i−2i002-200002-20002i−2i00002i−2i2i−2i00000000000000000−i2i2−22−i2i2−220000
χ472-2-222-202-220-22i2i−2i−2i00-220000-220002i−2i0000−2i2i−2i2i00000000000000000i2−i22−2−i2i2−220000
χ482-2-222-202-220-22i2i−2i−2i00-220000-220002i−2i0000−2i2i−2i2i00000000000000000−i2i2−22i2−i22−20000
χ492-2-222-202-220-2−2i−2i2i2i002-200002-2000−2i2i0000−2i2i−2i2i00000000000000000i2−i2−22i2−i2−220000
χ502-2-222-202-220-2−2i−2i2i2i002-200002-2000−2i2i0000−2i2i−2i2i00000000000000000−i2i22−2−i2i22−20000
χ512-2-222-202-220-2−2i−2i2i2i00-220000-22000−2i2i00002i−2i2i−2i00000000000000000i2−i2−22−i2i22−20000
χ522-2-222-202-220-2−2i−2i2i2i00-220000-22000−2i2i00002i−2i2i−2i00000000000000000−i2i22−2i2−i2−220000
χ5344-4-4004000-4022−2222−224-400000000022−220022−2222−22000000000000000000000000000000000
χ5444-4-4004000-4022−2222−22-4400000000022−2200−2222−2222000000000000000000000000000000000
χ5544-4-4004000-40−2222−22224-4000000000−222200−2222−2222000000000000000000000000000000000
χ5644-4-4004000-40−2222−2222-44000000000−22220022−2222−22000000000000000000000000000000000
χ5744-4-400-40004022−2222−220000004i−4i000−2222002i2−2i2−2i22i2000000000000000000000000000000000
χ5844-4-400-40004022−2222−22000000−4i4i000−222200−2i22i22i2−2i2000000000000000000000000000000000
χ5944-4-400-400040−2222−22220000004i−4i00022−2200−2i22i22i2−2i2000000000000000000000000000000000
χ6044-4-400-400040−2222−2222000000−4i4i00022−22002i2−2i2−2i22i2000000000000000000000000000000000
χ614-4-444-40-44-404000000000000000000000004-4-4400000000000000000000000000000
χ624-4-444-40-44-40400000000000000000000000-444-400000000000000000000000000000
χ634-4-44-4404-4-4040000004-40000-44000000000000000000000000000000000000000000
χ644-4-44-4404-4-404000000-4400004-4000000000000000000000000000000000000000000
χ654-4-44-440-4440-44i4i−4i−4i0000000000000−4i4i0000000000000000000000000000000000000
χ664-4-44-440-4440-4−4i−4i4i4i00000000000004i−4i0000000000000000000000000000000000000
χ678-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000000000
χ688-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000000000

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