Finite Group Databasebeta

← Group #347332

Character table — Group #347332

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222222224444444444444444444888844888888288
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-11-1
χ41111111111111111111111-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ51111111111111111111-1-1-1111-11-1-1-11-1-1-1-11-1-1-1111-1-1111111-1-1-1-111-1-11
χ61111111111111111111-1-1-1111-11-1-1-11-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1
χ71111111111111111111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-11111111111-1-1-1-11-1-1
χ81111111111111111111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111
χ9111111111111-1-1111-1-111-111-1-1-111-1-1-1-1-1-1-111-111-1111111-1-111-1-1-1-1-111
χ10111111111111-1-1111-1-111-111-1-1-111-1-1-1-1-1-1-111-111-111-1-1-1-111-1-111111-1-1
χ11111111111111-1-1111-1-111-1-1-11-11-1-1-111111-111-1-1-11-1-11111-1-1-1-1-1-11111-1
χ12111111111111-1-1111-1-111-1-1-11-11-1-1-111111-111-1-1-11-1-1-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1111-1-1-1-1111-11-1-1-11-11111-1-1-1111-1-1-11111-1-1-1-111-1-11-11
χ14111111111111-1-1111-1-1-1-1111-11-1-1-11-11111-1-1-1111-1-1-1-1-1-1-11111-1-111-11-1
χ15111111111111-1-1111-1-1-1-11-1-11111111-1-1-1-1-1-1-11-1-11111111-1-1111111-1-1-1
χ16111111111111-1-1111-1-1-1-11-1-11111111-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1111
χ172222222-2-22-2-222-2-22-2-2000000002-20022-2-220000002-2000000000000000
χ182222222-2-22-2-222-2-22-2-200000000-2200-2-2222000000-22000000000000000
χ192222222-2-22-2-2-2-2-2-2222000000002-200-2-222-20000002-2000000000000000
χ202222222-2-22-2-2-2-2-2-222200000000-220022-2-2-2000000-22000000000000000
χ21222222-222-22200-2-2-200002002-2-222-2-200000002002-2-2000000000000000
χ22222222-222-22200-2-2-20000200-2-22-2-2-220000000200-222000000000000000
χ23222222-222-22200-2-2-20000-20022-2-2-22-20000000-200222000000000000000
χ24222222-222-22200-2-2-20000-200-22222220000000-200-2-2-2000000000000000
χ25222222-2-2-2-2-2-20022-2002-202-20002-200000002-202-20-22000000000000000
χ26222222-2-2-2-2-2-20022-2002-20-22000-2200000002-20-2202-2000000000000000
χ27222222-2-2-2-2-2-20022-200-2202-2000-220000000-2202-202-2000000000000000
χ28222222-2-2-2-2-2-20022-200-220-220002-20000000-220-220-22000000000000000
χ292222-2-222-222-2222-2-22-200022-202000-20000-2000-2-2200000000000000000
χ302222-2-222-222-2222-2-22-2000-2-220-200020000-200022-200000000000000000
χ312222-2-222-222-2-2-22-2-2-220002220-2000200002000-2-2-200000000000000000
χ322222-2-222-222-2-2-22-2-2-22000-2-2-202000-20000200022200000000000000000
χ332222-2-22-222-2222-22-2-2222-20002000-200000-2-2-2200000000000000000000
χ342222-2-22-222-2222-22-2-22-2-22000-2000200000-222-200000000000000000000
χ352222-2-22-222-22-2-2-22-22-2222000-20002000002-2-2-200000000000000000000
χ362222-2-22-222-22-2-2-22-22-2-2-2-20002000-200000222200000000000000000000
χ372222-2-2-22-2-22-200-222002-2000202000-22-22-20-22000-200000000000000000
χ382222-2-2-22-2-22-200-222002-2000-20-20002-22-220-22000200000000000000000
χ392222-2-2-22-2-22-200-22200-22000202000-2-22-2202-2000-200000000000000000
χ402222-2-2-22-2-22-200-22200-22000-20-200022-22-202-2000200000000000000000
χ412222-2-2-2-22-2-22002-22000022-202000-202-2-22000-2-22000000000000000000
χ422222-2-2-2-22-2-22002-2200002-2202000-20-222-2000-22-2000000000000000000
χ432222-2-2-2-22-2-22002-220000-22-20-200020-222-20002-22000000000000000000
χ442222-2-2-2-22-2-22002-220000-2-220-2000202-2-2200022-2000000000000000000
χ454-44-400400-4004i−4i00000000000000000000000000000022-2-22i−2i000000000
χ464-44-400400-4004i−4i000000000000000000000000000000-2-222−2i2i000000000
χ474-44-400400-400−4i4i00000000000000000000000000000022-2-2−2i2i000000000
χ484-44-400400-400−4i4i000000000000000000000000000000-2-2222i−2i000000000
χ494-4-444-40440-4-4000000000000000000000000000000002i2−2i22i2−2i200000000000
χ504-4-444-40440-4-400000000000000000000000000000000−2i22i2−2i22i200000000000
χ514-4-444-40-4-40440000000000000000000000000000000000000022−220000000
χ524-4-444-40-4-404400000000000000000000000000000000000000−22220000000
χ534-4-44-4404-40-4400000000000000000000000000000000000000000022−22000
χ544-4-44-4404-40-44000000000000000000000000000000000000000000−2222000
χ554-4-44-440-4404-4000000000000000000000000000000000000000022−2200000
χ564-4-44-440-4404-40000000000000000000000000000000000000000−222200000
χ5788-8-800000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ5888-8-80000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ598-88-800-80080000000000000000000000000000000000000000000000000

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