Finite Group Databasebeta

← Group #348012

Character table — Group #348012

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244444444488888888888822224444444488888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-1-11-11-11-1-1-11-1-1-111-1-111-1-111-1-11-111-1-1
χ611111111111111111111111-1-1-1-1-1-11-11-11-1-1-11-1-1-111-1-111-1-1-1-111-11-1-111
χ711111111111111111111111-1-1-1-1-1-1-11-11-11-1-1-11-1-1-1-111-1-11111-1-11-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-11-11-11-1-1-11-1-1-1-111-1-111-1-111-1111-1-1
χ9111111111111111-1-1-1-1-1-1-1-11111-1-11-11-11-1-1-11-111-1-111-1-1111111-1-11-11-1
χ10111111111111111-1-1-1-1-1-1-1-11111-1-11-11-11-1-1-11-111-1-111-1-111-1-1-1-111-11-11
χ11111111111111111-1-1-1-1-1-1-1-11111-1-1-11-11-11-1-1-111111-1-111-1-11111-1-1-11-11
χ12111111111111111-1-1-1-1-1-1-1-11111-1-1-11-11-11-1-1-111111-1-111-1-1-1-1-1-1111-11-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-11-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1111-11-1-11
χ1722222222-222-2-2-2-2000000000000222-2-222-2-2-2-2200000000000000000000
χ1822222222-222-2-2-2-200000000000022-222-2-22-2-22-200000000000000000000
χ1922222222-222-2-2-2-2000000000000-2-222-2-22222-2-200000000000000000000
χ2022222222-222-2-2-2-2000000000000-2-2-2-222-2-2222200000000000000000000
χ21222222-2-22-2-22-2-222222-2-2-2-222222-20000002-200-2-2000000000000000000
χ22222222-2-22-2-22-2-222222-2-2-2-2-2-2-2-2-22000000-220022000000000000000000
χ23222222-2-22-2-22-2-22-2-2-2-222222222-22000000-2200-2-2000000000000000000
χ24222222-2-22-2-22-2-22-2-2-2-22222-2-2-2-22-20000002-20022000000000000000000
χ25222222-2-2-2-2-2-222-20000000000002-2000000-2200002i−2i2i−2i2i−2i2i−2i0000000000
χ26222222-2-2-2-2-2-222-20000000000002-2000000-220000−2i2i−2i2i−2i2i−2i2i0000000000
χ27222222-2-2-2-2-2-222-2000000000000-220000002-200002i−2i−2i2i2i−2i−2i2i0000000000
χ28222222-2-2-2-2-2-222-2000000000000-220000002-20000−2i2i2i−2i−2i2i2i−2i0000000000
χ292222-2-22-222-222-2-20000000022-2-200020-20-200022-22200-2-2000000000000
χ302222-2-22-222-222-2-20000000022-2-2000-20202000-22-2-2-20022000000000000
χ312222-2-22-222-222-2-200000000-2-22200020-20-20002-22-2-20022000000000000
χ322222-2-22-222-222-2-200000000-2-222000-20202000-2-222200-2-2000000000000
χ332222-2-22-2-22-2-2-2222i2i−2i−2i2i2i−2i−2i00000002020-2000-200002i−2i00−2i2i0000000000
χ342222-2-22-2-22-2-2-2222i2i−2i−2i2i2i−2i−2i0000000-20-20200020000−2i2i002i−2i0000000000
χ352222-2-22-2-22-2-2-222−2i−2i2i2i−2i−2i2i2i00000002020-2000-20000−2i2i002i−2i0000000000
χ362222-2-22-2-22-2-2-222−2i−2i2i2i−2i−2i2i2i0000000-20-202000200002i−2i00−2i2i0000000000
χ372222-2-2-222-222-22-20000000022-2-20020-20-200020-22002200-2-20000000000
χ382222-2-2-222-222-22-20000000022-2-200-20202000-20-2200-2-200220000000000
χ392222-2-2-222-222-22-200000000-2-2220020-20-2000202-200-2-200220000000000
χ402222-2-2-222-222-22-200000000-2-22200-20202000-202-2002200-2-20000000000
χ412222-2-2-22-2-22-22-222i2i−2i−2i−2i−2i2i2i0000002020-2000-2000−2i2i002i−2i000000000000
χ422222-2-2-22-2-22-22-222i2i−2i−2i−2i−2i2i2i000000-20-20200020002i−2i00−2i2i000000000000
χ432222-2-2-22-2-22-22-22−2i−2i2i2i2i2i−2i−2i0000002020-2000-20002i−2i00−2i2i000000000000
χ442222-2-2-22-2-22-22-22−2i−2i2i2i2i2i−2i−2i000000-20-2020002000−2i2i002i−2i000000000000
χ454-44-44-4440-4-4000022−2222−2222−2222−22000000000000000000000000000000000000
χ464-44-44-4440-4-40000−2222−2222−2222−2222000000000000000000000000000000000000
χ474-44-44-4-4-4044000022−2222−22−2222−2222000000000000000000000000000000000000
χ484-44-44-4-4-40440000−2222−222222−2222−22000000000000000000000000000000000000
χ494-44-4-444-40-4400002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ504-44-4-444-40-440000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ514-44-4-44-4404-400002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000
χ524-44-4-44-4404-40000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000
χ534-4-440000400-400000000000004i−4i00000000000000000000002-22i−2i000000
χ544-4-440000400-400000000000004i−4i0000000000000000000000-22−2i2i000000
χ554-4-440000400-40000000000000−4i4i00000000000000000000002-2−2i2i000000
χ564-4-440000400-40000000000000−4i4i0000000000000000000000-222i−2i000000
χ5788-8-8000000000000000000042−420000000000000000000000000000000000
χ5888-8-80000000000000000000−42420000000000000000000000000000000000
χ598-8-880000-800800000000000000000000000000000000000000000000000

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