Finite Group Databasebeta

← Group #288639

Character table — Group #288639

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444444488888888884444888888824444488888888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ5111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-111-1111-1-1-1-1-1-11-1-111
χ6111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-1-1111111111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-111-1-11111-1-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-11-1-1-111-1-1-1-1-11111
χ9111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-11-1-1-11
χ10111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-1111111-1
χ11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-11111-1-111-1-111-1-1-11-1
χ12111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-111-11
χ13111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11-1-1111-1-1-1-1-1-1-111111-11
χ14111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11-1-1-1-11-1111111-1-11-1-11-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11111-11-1-1-1-111-1-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-111111-1-111-1-1-1-11
χ1722222222-2-222-2-2-222-2-2-2-20000000022200-2-2000000200000000-20000
χ1822222222-2-222-2-2-222-2-2-2-2000000002-2-20022000000-20000000020000
χ1922222222-2-222-2-2-2-2-2222200000000-2220022000000-200000000-20000
χ2022222222-2-222-2-2-2-2-2222200000000-2-2-200-2-200000020000000020000
χ21222222-2-2-2-2-2-22-220000002i2i−2i−2i00000002i−2i0000000002i−2i00000002-200
χ22222222-2-2-2-2-2-22-220000002i2i−2i−2i00000002i−2i000000000−2i2i0000000-2200
χ23222222-2-2-2-2-2-22-22000000−2i−2i2i2i0000000−2i2i0000000002i−2i0000000-2200
χ24222222-2-2-2-2-2-22-22000000−2i−2i2i2i0000000−2i2i000000000−2i2i00000002-200
χ252222-2-22-2222-2-2-222222-2-200000000-200000022-200-200000000000000
χ262222-2-22-2222-2-2-222222-2-200000000-2000000-2-2200200000000000000
χ272222-2-22-2222-2-2-22-2-2-2-2220000000020000002-2200-200000000000000
χ282222-2-22-2222-2-2-22-2-2-2-222000000002000000-22-200200000000000000
χ292222-2-22-2-2-22-222-222-2-2222i2i−2i−2i2i2i−2i−2i-200−2i2i0000000000000000000000
χ302222-2-22-2-2-22-222-222-2-222−2i−2i2i2i−2i−2i2i2i-2002i−2i0000000000000000000000
χ312222-2-22-2-2-22-222-2-2-222-2-22i2i−2i−2i−2i−2i2i2i200−2i2i0000000000000000000000
χ322222-2-22-2-2-22-222-2-2-222-2-2−2i−2i2i2i2i2i−2i−2i2002i−2i0000000000000000000000
χ332222-2-2-2222-222-2-200000022220000000-2-2000002-200002-2000000000
χ342222-2-2-2222-222-2-200000022220000000-2-200000-220000-22000000000
χ352222-2-2-2222-222-2-2000000-2-2-2-2000000022000002-20000-22000000000
χ362222-2-2-2222-222-2-2000000-2-2-2-200000002200000-2200002-2000000000
χ37444444-4-444-4-4-44-400000000000000000000000000000000000000000
χ384444-4-4-44-4-4-44-44400000000000000000000000000000000000000000
χ3944-4-400004-4000002i2−2i22i2−2i2002i2−2i22i2−2i22-22-2000000000000000000000000000
χ4044-4-400004-4000002i2−2i22i2−2i200−2i22i2−2i22i2-22-22000000000000000000000000000
χ4144-4-400004-400000−2i22i2−2i22i2002i2−2i22i2−2i2-22-22000000000000000000000000000
χ4244-4-400004-400000−2i22i2−2i22i200−2i22i2−2i22i22-22-2000000000000000000000000000
χ4344-4-40000-44000002i2−2i2−2i22i20022−22−2222−2i2i2i−2i000000000000000000000000000
χ4444-4-40000-44000002i2−2i2−2i22i200−222222−222i−2i−2i2i000000000000000000000000000
χ4544-4-40000-4400000−2i22i22i2−2i20022−22−22222i−2i−2i2i000000000000000000000000000
χ4644-4-40000-4400000−2i22i22i2−2i200−222222−22−2i2i2i−2i000000000000000000000000000
χ474-4-444-44-400-440000000000000000004i−4i000000000000000000000000
χ484-4-444-44-400-44000000000000000000−4i4i000000000000000000000000
χ494-4-444-4-44004-400000000000000000000000000000000000002i2−2i200000
χ504-4-444-4-44004-40000000000000000000000000000000000000−2i22i200000
χ514-4-44-444400-4-400000000000000000000004i−4i00000000000000000000
χ524-4-44-444400-4-40000000000000000000000−4i4i00000000000000000000
χ534-4-44-44-4-400440000000000000000000000000000000000022−220000000
χ544-4-44-44-4-4004400000000000000000000000000000000000−22220000000
χ558-88-80000000000000004i2−4i200000000000000000000000000000000000
χ568-88-8000000000000000−4i24i200000000000000000000000000000000000

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