Finite Group Databasebeta

← Group #285042

Character table — Group #285042

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444444442488888888888888224444448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-11-1111-1-1-1-111-1-11-1-1-1-1
χ311111111111111111111111111111-1-11111-11-1-1-11-1-11-1-111-11-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111
χ5111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1111-111-1-11
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-11-1-1111-111-111-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-11-1-1111-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-11
χ91111111111111-1-11-1-11-1-11111-1-1-1-11111111-11-1-1-1111-1-1-111-1-11-1
χ101111111111111-1-11-1-11-1-11111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-11-1111-11
χ111111111111111-1-11-1-11-1-11111-1-1-1-1-1-11111-1-1-111-1-1-1111-11-1-11-11
χ121111111111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1111-1-11-11-1
χ131111111111111-1-11-1-11-1-1-1-1-1-11111111111-11-111111-1-1-1-1-11-11-1-1
χ141111111111111-1-11-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11-1-11111-111
χ151111111111111-1-11-1-11-1-1-1-1-1-11111-1-11111111-1-11-1-1-111-1-1-1-1-111
χ161111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-11111111-111-1-1
χ1722222222-222-2-222-222-2-2-20000000000000002000-2002000-200000
χ1822222222-222-2-222-222-2-2-2000000000000000-2000200-2000200000
χ1922222222-222-2-2-2-2-2-2-2-2220000000000000002000-200-2000200000
χ2022222222-222-2-2-2-2-2-2-2-222000000000000000-20002002000-200000
χ21222222-2-2-2-2-2-2200-2002002i−2i2i−2i00000000000002-200002i−2i0000000
χ22222222-2-2-2-2-2-2200-2002002i−2i2i−2i0000000000000-220000−2i2i0000000
χ23222222-2-2-2-2-2-2200-200200−2i2i−2i2i00000000000002-20000−2i2i0000000
χ24222222-2-2-2-2-2-2200-200200−2i2i−2i2i0000000000000-2200002i−2i0000000
χ252222-2-22-222-22-222-2-2-22-22000000000022-2-200000000000200-2000
χ262222-2-22-222-22-222-2-2-22-220000000000-2-22200000000000-2002000
χ272222-2-22-222-22-2-2-2-22222-2000000000022-2-200000000000-2002000
χ282222-2-22-222-22-2-2-2-22222-20000000000-2-22200000000000200-2000
χ292222-2-22-2-22-2-22222-2-2-22-22i−2i−2i2i2i2i−2i−2i000000000000000000000000
χ302222-2-22-2-22-2-22222-2-2-22-2−2i2i2i−2i−2i−2i2i2i000000000000000000000000
χ312222-2-22-2-22-2-22-2-2222-2-222i−2i−2i2i−2i−2i2i2i000000000000000000000000
χ322222-2-22-2-22-2-22-2-2222-2-22−2i2i2i−2i2i2i−2i−2i000000000000000000000000
χ332222-2-2-222-222200-200-20022-2-20000220000-2020000000000-20000
χ342222-2-2-222-222200-200-20022-2-20000-2-2000020-2000000000020000
χ352222-2-2-222-222200-200-200-2-222000022000020-20000000000-20000
χ362222-2-2-222-222200-200-200-2-2220000-2-20000-202000000000020000
χ37444444-4-44-4-44-400400-40000000000000000000000000000000000
χ384444-4-4-44-4-44-4-40040040000000000000000000000000000000000
χ3944-4-44-4440-4-40000000000000022−2222−22000000000000000000000000
χ4044-4-44-4440-4-400000000000000−2222−2222000000000000000000000000
χ4144-4-44-4-4-4044004i−4i04i−4i00000000000000000000000000000000000
χ4244-4-44-4-4-404400−4i4i0−4i4i00000000000000000000000000000000000
χ4344-4-4-444-40-44000000000000002i2−2i2−2i22i2000000000000000000000000
χ4444-4-4-444-40-4400000000000000−2i22i22i2−2i2000000000000000000000000
χ4544-4-4-44-4404-4004i−4i0−4i4i00000000000000000000000000000000000
χ4644-4-4-44-4404-400−4i4i04i−4i00000000000000000000000000000000000
χ474-4-440000400-4000000000000000002i2−2i22i2−2i2000000002-20000000000
χ484-4-440000400-4000000000000000002i2−2i2−2i22i200000000-220000000000
χ494-4-440000400-400000000000000000−2i22i22i2−2i200000000-220000000000
χ504-4-440000400-400000000000000000−2i22i2−2i22i2000000002-20000000000
χ518-88-8000000000000000000000000000004i−4i000000000000000000
χ528-88-800000000000000000000000000000−4i4i000000000000000000
χ538-8-880000-800800000000000000000000000000000000000000000

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