Finite Group Databasebeta

← Group #485697

Character table — Group #485697

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222444448888888888161616161616161616161616161616161632323232
order12222222222222222444444244444444444444448888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11111-1-11-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ51111111111111-1-1-1-111-1-1111-11-111111-1-11-1-1-1-1-111-1-1
χ61111111111111-1-1-1-111-1-1111-11-1-1-1-1-11-1-11-11111-1-111
χ71111111111111-1-1-1-111-1-111-11-111111-11-1-11-1-1-1-1-1-111
χ81111111111111-1-1-1-111-1-111-11-11-1-1-1-1-11-1-11111111-1-1
χ91111-1-1111-1-1-1111-1-1-1-111111-1-1111-1-11-1-1-1111-1-11-11-1
χ101111-1-1111-1-1-1111-1-1-1-111111-1-11-1-1111-1-1-11-1-111-11-11
χ111111-1-1111-1-1-1111-1-1-1-11111-111-111-1-1-11-11-111-1-1-11-11
χ121111-1-1111-1-1-1111-1-1-1-11111-111-1-1-111-11-11-1-1-1111-11-1
χ131111-1-1111-1-1-11-1-111-1-1-1-11111-1-111-1-1111-1-1-1-1111-1-11
χ141111-1-1111-1-1-11-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-111-1
χ151111-1-1111-1-1-11-1-111-1-1-1-111-1-11111-1-1-1-1111-1-111-111-1
χ161111-1-1111-1-1-11-1-111-1-1-1-111-1-111-1-111-1-111111-1-11-1-11
χ1722222222222222222-2-2-2-2-2-20000000000-20000000000
χ182222222222222-2-2-2-2-2-222-2-2000000000020000000000
χ1922222222-22-2-2-200002-2002-2020200000-200-200000000
χ2022222222-22-2-2-200002-2002-20-20-200000200200000000
χ2122222222-22-2-2-20000-2200-2220200000-200-2000000000
χ2222222222-22-2-2-20000-2200-22-20-2000002002000000000
χ232222-2-2222-2-2-2222-2-222-2-2-2-2000000000020000000000
χ242222-2-2222-2-2-22-2-2222222-2-20000000000-20000000000
χ252222-2-222-2-222-200002-200-2220-200000-2002000000000
χ262222-2-222-2-222-200002-200-22-20200000200-2000000000
χ272222-2-222-2-222-20000-22002-2020-200000-200200000000
χ282222-2-222-2-222-20000-22002-20-20200000200-200000000
χ29444444-4-40-4000000000000000002-22-20000000000000
χ30444444-4-40-400000000000000000-22-220000000000000
χ314444-4-4-4-404000000000000000002-2-220000000000000
χ324444-4-4-4-40400000000000000000-222-20000000000000
χ3344-4-4004-44000-4004-4000000000000000000000000000
χ3444-4-4004-44000-400-44000000000000000000000000000
χ3544-4-4004-4-400040000004i−4i00000000000000000000000
χ3644-4-4004-4-40004000000−4i4i00000000000000000000000
χ3744-4-400-44004-40000000000000000000000002i−2i2i−2i0000
χ3844-4-400-44004-4000000000000000000000000−2i2i−2i2i0000
χ3944-4-400-4400-440000000000000000000000002i−2i−2i2i0000
χ4044-4-400-4400-44000000000000000000000000−2i2i2i−2i0000
χ418-88-80000000004-400000000000000000000000000000
χ428-88-8000000000-4400000000000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

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