Finite Group Databasebeta

← Group #318541

Character table — Group #318541

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order12222244444444888844888888888888888888888822244444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11111-11-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11-11111-1-11111-1-1
χ911111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-11-11-1
χ1011111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-11-11
χ1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-11
χ1211111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111111-11-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-11-1-1-1-111-1-1111-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1111-1-1-1-111-111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11-1-1-11111-1-1-111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-11-11111-1-111-1-11-1-11
χ1722222222-222-2-2-20000-2-200002222-2-2-2-200000000000000000000002i−2i2i−2i0000
χ1822222222-222-2-2-20000-2-200002222-2-2-2-20000000000000000000000−2i2i−2i2i0000
χ1922222222-222-2-2-20000-2-20000-2-2-2-2222200000000000000000000002i−2i−2i2i0000
χ2022222222-222-2-2-20000-2-20000-2-2-2-222220000000000000000000000−2i2i2i−2i0000
χ21222222-2-22-2-22222222-2-2-2-2-2-2000000002200000000002-2200-2000000000000
χ22222222-2-22-2-22222222-2-2-2-2-2-200000000220000000000-22-2002000000000000
χ23222222-2-22-2-2222-2-2-2-2-2-2222200000000-2-200000000002-2-2002000000000000
χ24222222-2-22-2-2222-2-2-2-2-2-2222200000000-2-20000000000-22200-2000000000000
χ252222-2-2222-2-2-2-2222222-222-2-200000000-2-200000000000000002i−2i2i−2i00000000
χ262222-2-2222-2-2-2-2222222-222-2-200000000-2-20000000000000000−2i2i−2i2i00000000
χ272222-2-2222-2-2-2-22-2-2-2-22-2-2-222000000002200000000000000002i−2i−2i2i00000000
χ282222-2-2222-2-2-2-22-2-2-2-22-2-2-22200000000220000000000000000−2i2i2i−2i00000000
χ292222-2-2-2-2222-2-222222-22-2-22222-2-222-2-2-2-22222-2-2-2-200000000000000000000
χ302222-2-2-2-2222-2-222222-22-2-222-2-222-2-222-2-2-2-2-2-2222200000000000000000000
χ312222-2-2-2-2222-2-22-2-2-2-2-2222-2-222-2-222-2-222-2-2-2-2222200000000000000000000
χ322222-2-2-2-2222-2-22-2-2-2-2-2222-2-2-2-222-2-222222222-2-2-2-200000000000000000000
χ332222-2-2-2-2-22222-200002-2000022-2-2-2-222000000000022000-2-20000000000000
χ342222-2-2-2-2-22222-200002-2000022-2-2-2-2220000000000-2-2000220000000000000
χ352222-2-2-2-2-22222-200002-20000-2-22222-2-200000000002-2000-220000000000000
χ362222-2-2-2-2-22222-200002-20000-2-22222-2-20000000000-220002-20000000000000
χ37444444-4-4-4-4-4-4-4-4000044000000000000000000000000000000000000000000
χ384444-4-444-4-4-444-40000-44000000000000000000000000000000000000000000
χ3944-4-4000004-40002i22i2−2i2−2i200002i2−2i200004i−4i00002222−22−22000000000000000000000000
χ4044-4-4000004-40002i22i2−2i2−2i200002i2−2i20000−4i4i0000−22−222222000000000000000000000000
χ4144-4-4000004-4000−2i2−2i22i22i20000−2i22i200004i−4i0000−22−222222000000000000000000000000
χ4244-4-4000004-4000−2i2−2i22i22i20000−2i22i20000−4i4i00002222−22−22000000000000000000000000
χ4344-4-400000-440002i22i2−2i2−2i20000−2i22i20000004-40000002i22i2−2i2−2i200000000000000000000
χ4444-4-400000-440002i22i2−2i2−2i20000−2i22i2000000-44000000−2i2−2i22i22i200000000000000000000
χ4544-4-400000-44000−2i2−2i22i22i200002i2−2i20000004-4000000−2i2−2i22i22i200000000000000000000
χ4644-4-400000-44000−2i2−2i22i22i200002i2−2i2000000-440000002i22i2−2i2−2i200000000000000000000
χ474-44-4004i−4i00000022−2222−22002i2−2i20022−222i2−2i20000002-22-22i−2i2i−2i00000000000000000000
χ484-44-4004i−4i00000022−2222−22002i2−2i200−2222−2i22i2000000-22-22−2i2i−2i2i00000000000000000000
χ494-44-4004i−4i000000−2222−222200−2i22i20022−222i2−2i2000000-22-22−2i2i−2i2i00000000000000000000
χ504-44-4004i−4i000000−2222−222200−2i22i200−2222−2i22i20000002-22-22i−2i2i−2i00000000000000000000
χ514-44-400−4i4i00000022−2222−2200−2i22i20022−22−2i22i20000002-22-2−2i2i−2i2i00000000000000000000
χ524-44-400−4i4i00000022−2222−2200−2i22i200−22222i2−2i2000000-22-222i−2i2i−2i00000000000000000000
χ534-44-400−4i4i000000−2222−2222002i2−2i20022−22−2i22i2000000-22-222i−2i2i−2i00000000000000000000
χ544-44-400−4i4i000000−2222−2222002i2−2i200−22222i2−2i20000002-22-2−2i2i−2i2i00000000000000000000
χ554-4-444-4004004-4-44i−4i−4i4i000000000000004i−4i0000000000000000000000000000
χ564-4-444-4004004-4-4−4i4i4i−4i00000000000000−4i4i0000000000000000000000000000
χ574-4-444-400-400-4440000000000000000000022−22−222222−22−222200000000000000000000
χ584-4-444-400-400-44400000000000000000000−222222−22−222222−2200000000000000000000
χ594-4-44-4400400-44-44i−4i−4i4i00000000000000−4i4i0000000000000000000000000000
χ604-4-44-4400400-44-4−4i4i4i−4i000000000000004i−4i0000000000000000000000000000
χ614-4-44-4400-4004-440000000000000000000022−22−2222−222222−2200000000000000000000
χ624-4-44-4400-4004-4400000000000000000000−222222−2222−22−222200000000000000000000

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