Finite Group Databasebeta

← Group #485809

Character table — Group #485809

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222222244444444444444444444444422244444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-111-1111-1-1-1111111-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1111-1-111-1-1-1-111-1-111111-11-1-111-1-1-1-111-1-1
χ6111111111111-1-1-1-1111-1-111-1-1-1-111-1-1111-1-1-11-1-1-1-11111-1-111
χ7111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-111-1-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1111111-1-1
χ91111-1-111-11-1-111111-1-1-1-11111-1-1-1-1-1-111-11-1111-11-111-1-11-11-1
χ101111-1-111-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-1-111-11-11
χ111111-1-111-11-1-111111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-111-1-1-11-11
χ121111-1-111-11-1-111111-1-1-1-1-1-1-1-1-1-11111111-111-1-11-11-1-1111-11-1
χ131111-1-111-11-1-1-1-1-1-11-1-11111-1-111-1-11111-11-1-11-111-1-1-1111-1-11
χ141111-1-111-11-1-1-1-1-1-11-1-11111-1-111-1-11111-1-11-11-11-1111-1-1-111-1
χ151111-1-111-11-1-1-1-1-1-11-1-111-1-1111111-1-11111-1-1-11-11-1-1-111-111-1
χ161111-1-111-11-1-1-1-1-1-11-1-111-1-1111111-1-1111-11-1-11-1-1111-1-11-1-11
χ1722222222222222222-2-2-2-20000220000-2-2000-20000000000000
χ18222222222222-2-2-2-22-2-2220000-2-20000-2-200020000000000000
χ19222222222-2-2-20000-22-20000220000222-200000-2-20000000000
χ20222222222-2-2-20000-22-20000-2-20000-2-22-200000220000000000
χ21222222222-2-2-20000-2-22002200002200-22-2000-2000000000000
χ22222222222-2-2-20000-2-2200-2-20000-2-200-2220002000000000000
χ232222-2-222-22-2-22222222220000-2-20000-2-2000-20000000000000
χ242222-2-222-22-2-2-2-2-2-2222-2-20000220000-2-200020000000000000
χ252222-2-222-2-2220000-22-200220000-2-200-222000-2000000000000
χ262222-2-222-2-2220000-22-200-2-200002200-22-20002000000000000
χ272222-2-222-2-2220000-2-220000220000-2-22-200000-220000000000
χ282222-2-222-2-2220000-2-220000-2-20000222-2000002-20000000000
χ29444444-4-4-40000000000000000000000000220000-2-200000000
χ30444444-4-4-40000000000000000000000000-2-200002200000000
χ314444-4-4-4-4400000000000000000000000002-20000-2200000000
χ324444-4-4-4-440000000000000000000000000-2200002-200000000
χ3344-4-44-40000002i2i−2i−2i000002i−2i2-22i−2i2i−2i2-20000000000000000000
χ3444-4-44-40000002i2i−2i−2i00000−2i2i-222i−2i−2i2i-220000000000000000000
χ3544-4-44-4000000−2i−2i2i2i000002i−2i-22−2i2i2i−2i-220000000000000000000
χ3644-4-44-4000000−2i−2i2i2i00000−2i2i2-2−2i2i−2i2i2-20000000000000000000
χ3744-4-4-440000002i2i−2i−2i000002i−2i2-2−2i2i−2i2i-220000000000000000000
χ3844-4-4-440000002i2i−2i−2i00000−2i2i-22−2i2i2i−2i2-20000000000000000000
χ3944-4-4-44000000−2i−2i2i2i000002i−2i-222i−2i−2i2i2-20000000000000000000
χ4044-4-4-44000000−2i−2i2i2i00000−2i2i2-22i−2i2i−2i-220000000000000000000
χ414-4-44004-4004-40000000000000000000000000000002i−2i2i−2i0000
χ424-4-44004-4004-4000000000000000000000000000000−2i2i−2i2i0000
χ434-4-44004-400-440000000000000000000000000000002i−2i−2i2i0000
χ444-4-44004-400-44000000000000000000000000000000−2i2i2i−2i0000
χ454-4-4400-4404000000-4004i−4i00000000000000000000000000000
χ464-4-4400-4404000000-400−4i4i00000000000000000000000000000
χ474-4-4400-440-4004-44-44000000000000000000000000000000000
χ484-4-4400-440-400-44-444000000000000000000000000000000000
χ498-88-8000000004i−4i−4i4i0000000000000000000000000000000000
χ508-88-800000000−4i4i4i−4i0000000000000000000000000000000000

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