Finite Group Databasebeta

← Group #285179

Character table — Group #285179

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444422444888888882224488888888888822244888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111-1-1111-1-1-11-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1111-11-1-111-111-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111
χ511111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1111-1-111-1-11-1-1-1-11-1
χ611111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-111111-11
χ711111111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ811111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-11-1-1-11111-1-1-111-1-11-1
χ9111111111111-1-111111111111-111-1-1111111-1-11111-1-1-11-1111-1-1-1-1-111-1-1
χ10111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-111-111-1-1-1-1-1-1-1-111-1-111
χ11111111111111-1-11111111-1-1-1-1-111-1-111-1-1-1-11111-1-11-1-1111-1-1-1-11-1-1-1-111
χ12111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-11-111-1-111111-1-1
χ13111111111111-1-1111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11111-111-1-1-11
χ14111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1111-1
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111111111-1
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1111111-1-1-1-1-11
χ172222222-2-22-2-2222-2-22i2i−2i−2i0000200-2-22i−2i0000000000000000002i−2i0000000
χ182222222-2-22-2-2222-2-2−2i−2i2i2i0000200-2-2−2i2i000000000000000000−2i2i0000000
χ192222222-2-22-2-2-2-22-2-22i2i−2i−2i0000-200222i−2i000000000000000000−2i2i0000000
χ202222222-2-22-2-2-2-22-2-2−2i−2i2i2i0000-20022−2i2i0000000000000000002i−2i0000000
χ21222222-222-22200-2-2-22222000002200-2-20000002200000-20-200000000000
χ22222222-222-22200-2-2-2222200000-2-200-2-2000000-2-20000020200000000000
χ23222222-222-22200-2-2-2-2-2-2-200000220022000000-2-200000-20200000000000
χ24222222-222-22200-2-2-2-2-2-2-200000-2-20022000000220000020-200000000000
χ25222222-2-2-2-2-2-200-2222i2i−2i−2i000000000−2i2i000000000002-2000000002i−2i0000
χ26222222-2-2-2-2-2-200-2222i2i−2i−2i000000000−2i2i00000000000-2200000000−2i2i0000
χ27222222-2-2-2-2-2-200-222−2i−2i2i2i0000000002i−2i000000000002-200000000−2i2i0000
χ28222222-2-2-2-2-2-200-222−2i−2i2i2i0000000002i−2i00000000000-22000000002i−2i0000
χ292222-2-222-222-222-22-200002222-2002-20000002200-2-20000000000-2000000
χ302222-2-222-222-222-22-20000-2-2-2-2-2002-2000000-2-2002200000000002000000
χ312222-2-222-222-2-2-2-22-200002222200-22000000-2-200-2-200000000002000000
χ322222-2-222-222-2-2-2-22-20000-2-2-2-2200-220000002200220000000000-2000000
χ332222-2-22-222-2222-2-2200000000-200-220022-2-20000002000-2000000000000
χ342222-2-22-222-2222-2-2200000000-200-2200-2-222000000-20002000000000000
χ352222-2-22-222-22-2-2-2-22000000002002-20022-2-2000000-20002000000000000
χ362222-2-22-222-22-2-2-2-22000000002002-200-2-2220000002000-2000000000000
χ372-2-222-20-2-2022000002-22-222−2−202-200002−22−2002-22−20000002−2000002−200
χ382-2-222-20-2-2022000002-22-222−2−20-2200002−22−200-222−2000000−2200000−2200
χ392-2-222-20-2-2022000002-22-2−2−22202-20000−22−22002-2−22000000−2200000−2200
χ402-2-222-20-2-2022000002-22-2−2−2220-220000−22−2200-22−220000002−2000002−200
χ412-2-222-20-2-202200000-22-2222−2−202-20000−22−2200-222−20000002−200000−2200
χ422-2-222-20-2-202200000-22-2222−2−20-220000−22−22002-22−2000000−22000002−200
χ432-2-222-20-2-202200000-22-22−2−22202-200002−22−200-22−22000000−22000002−200
χ442-2-222-20-2-202200000-22-22−2−2220-2200002−22−2002-2−220000002−200000−2200
χ454444-4-4-44-4-44-4004-44000000000000000000000000000000000000000000
χ464444-4-4-4-44-4-440044-4000000000000000000000000000000000000000000
χ474-44-400400-4004-400000002i2−2i22i2−2i2000000000002i2−2i2000000000000000000000
χ484-44-400400-4004-40000000−2i22i2−2i22i200000000000−2i22i2000000000000000000000
χ494-44-400400-400-4400000002i2−2i22i2−2i200000000000−2i22i2000000000000000000000
χ504-44-400400-400-440000000−2i22i2−2i22i2000000000002i2−2i2000000000000000000000
χ514-4-444-40440-4-4000004i−4i−4i4i00000000000000000000000000000000000000
χ524-4-444-40440-4-400000−4i4i4i−4i00000000000000000000000000000000000000
χ534-4-44-4404-40-440000000000000000000022−22−222200000000000000000000000
χ544-4-44-4404-40-4400000000000000000000−222222−2200000000000000000000000
χ554-4-44-440-4404-40000000002222−22−22000000000000000−222200000000000000000
χ564-4-44-440-4404-4000000000−22−22222200000000000000022−2200000000000000000
χ5788-8-8000000000000000004i−4i−4i4i0000000000000000000000000000000000
χ5888-8-800000000000000000−4i4i4i−4i0000000000000000000000000000000000
χ598-88-800-80080000000000000000000000000000000000000000000000000

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