Finite Group Databasebeta

← Group #279206

Character table — Group #279206

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444448888888888888888888881616161616161616161632323232
order12222244444444488888824444444888888888888844888888882488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1111-1-1111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111
χ5111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-11-1-1-11-1-1-1-111
χ6111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-11-1111-1-111-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-111-111-1-111
χ9111111111111111-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111-1
χ10111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-11
χ11111111111111111-1-1-1-1-1-11111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-11
χ12111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1111-111-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1111-11-1-1-1111-11-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-11-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1111-111-11-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-11-11-1
χ1722222222-222-2-2-2-222-2-2-2-222-2-20000200000000000000-202000000000
χ1822222222-222-2-2-2-222-2-2-2-2-2-222000020000000000000020-2000000000
χ1922222222-222-2-2-2-2-2-2222222-2-20000-20000000000000020-2000000000
χ2022222222-222-2-2-2-2-2-22222-2-2220000-200000000000000-202000000000
χ212222-2-22-222-222-2-20000002-2-220000022-2-2000000002-2000000000000
χ222222-2-22-222-222-2-20000002-2-2200000-2-22200000000-22000000000000
χ232222-2-22-222-222-2-2000000-222-20000022-2-200000000-22000000000000
χ242222-2-22-222-222-2-2000000-222-200000-2-222000000002-2000000000000
χ252222-2-22-2-22-2-2-2220000002-22-22i2i−2i−2i0000000000000000002i−2i0000000
χ262222-2-22-2-22-2-2-2220000002-22-2−2i−2i2i2i000000000000000000−2i2i0000000
χ272222-2-22-2-22-2-2-222000000-22-222i2i−2i−2i000000000000000000−2i2i0000000
χ282222-2-22-2-22-2-2-222000000-22-22−2i−2i2i2i0000000000000000002i−2i0000000
χ292222-2-2-222-222-22-22222-2-200000000-2000022-2-200000002000-2000000
χ302222-2-2-222-222-22-22222-2-200000000-20000-2-2220000000-20002000000
χ312222-2-2-222-222-22-2-2-2-2-222000000002000022-2-20000000-20002000000
χ322222-2-2-222-222-22-2-2-2-2-2220000000020000-2-22200000002000-2000000
χ332222-2-2-22-2-22-22-2222-2-22200000000-2000000002i2i−2i−2i000000002i−2i0000
χ342222-2-2-22-2-22-22-2222-2-22200000000-200000000−2i−2i2i2i00000000−2i2i0000
χ352222-2-2-22-2-22-22-22-2-222-2-2000000002000000002i2i−2i−2i00000000−2i2i0000
χ362222-2-2-22-2-22-22-22-2-222-2-200000000200000000−2i−2i2i2i000000002i−2i0000
χ37444444-4-44-4-44-4-4400000000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000000000
χ3944-4-44-4440-4-400000000000000000000000000022−2222−2200000000000000
χ4044-4-44-4440-4-4000000000000000000000000000−2222−222200000000000000
χ4144-4-44-4-4-4044000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4244-4-44-4-4-404400000000000000000000000−2i22i2−2i22i2000000000000000000
χ4344-4-4-444-40-44000000000000000000000002i2−2i2−2i22i2000000000000000000
χ4444-4-4-444-40-4400000000000000000000000−2i22i22i2−2i2000000000000000000
χ4544-4-4-44-4404-40000000000000000000000000002i2−2i2−2i22i200000000000000
χ4644-4-4-44-4404-4000000000000000000000000000−2i22i22i2−2i200000000000000
χ474-4-440000400-400022−2222−220000002i−2i2i−2i02i2−2i2000000000000000000000000
χ484-4-440000400-400022−2222−22000000−2i2i−2i2i0−2i22i2000000000000000000000000
χ494-4-440000400-4000−2222−22220000002i−2i2i−2i0−2i22i2000000000000000000000000
χ504-4-440000400-4000−2222−2222000000−2i2i−2i2i02i2−2i2000000000000000000000000
χ514-4-440000-400400022−22−22220000002-2-2200022−220000000000000000000000
χ524-4-440000-400400022−22−2222000000-222-2000−22220000000000000000000000
χ534-4-440000-4004000−222222−220000002-2-22000−22220000000000000000000000
χ544-4-440000-4004000−222222−22000000-222-200022−220000000000000000000000
χ558-88-80000000000000004i2−4i200000000000000000000000000000000000
χ568-88-8000000000000000−4i24i200000000000000000000000000000000000

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