Finite Group Databasebeta

← Group #176696

Character table — Group #176696

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-11-1-111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-11-1-111111-1-1-11-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-11-1-1-1-1-1-1-11-11-111-11111-1-1-1-11111-1-1
χ81111111111111111111-1-11-1-1-1-1-1-1-11-11-111-1-1-1-1-11111-1-1-1-111
χ9111111111-1-1-1-111111-111-1-1-111-1-11-11-1-111-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111-111-1-1-111-1-11-11-1-111-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-111111-111-1-1-1-1-111-11111-1-1-111-1-111-1-1-1-111-11
χ12111111111-1-1-1-111111-111-1-1-1-1-111-11111-1-1-1-1-111-1-11111-1-11-1
χ13111111111-1-1-1-111111-1-1-1-11111-1-111-11-1-1-1111-1-1-1-111-1-1111-1
χ14111111111-1-1-1-111111-1-1-1-11111-1-111-11-1-1-11-1-11111-1-111-1-1-11
χ15111111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-11
χ16111111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-2-2222-2-2000000-20000200000000000000
χ1822222222222-2-2-2-2-22-2-2-2-222200000020000-200000000000000
χ19222222222-2-222-2-2-22-2222-222000000-20000-200000000000000
χ20222222222-2-222-2-2-22-22-2-2-2-2-200000020000200000000000000
χ2122222222-22222-222-2-2-200-2002222-2000-200000000000000000
χ2222222222-22222-222-2-2-200-200-2-2-2-22000200000000000000000
χ2322222222-222-2-22-2-2-22200-2000000020-202-2000000000000000
χ2422222222-222-2-22-2-2-22200-20000000-2020-22000000000000000
χ2522222222-2-2-2222-2-2-22-2002000000020-20-22000000000000000
χ2622222222-2-2-2222-2-2-22-20020000000-20202-2000000000000000
χ2722222222-2-2-2-2-2-222-2-220020022-2-2-2000200000000000000000
χ2822222222-2-2-2-2-2-222-2-2200200-2-2222000-200000000000000000
χ29444-44-4-4-440000000-4000004-400000000000000000000000000
χ30444-44-4-4-440000000-400000-4400000000000000000000000000
χ31444-44-4-4-4-400000004004i−4i00000000000000000000000000000
χ32444-44-4-4-4-40000000400−4i4i00000000000000000000000000000
χ3344-44-4-4-440004i−4i0000000000000000000000000002-22i−2i000000
χ3444-44-4-4-440004i−4i000000000000000000000000000-22−2i2i000000
χ3544-44-4-4-44000−4i4i0000000000000000000000000002-2−2i2i000000
χ3644-44-4-4-44000−4i4i000000000000000000000000000-222i−2i000000
χ3744-4-4-444-40000004-400000000004i−4i0000000000000000000000
χ3844-4-4-444-40000004-40000000000−4i4i0000000000000000000000
χ3944-4-4-444-4000000-44000000004i−4i000000000000000000000000
χ4044-4-4-444-4000000-4400000000−4i4i000000000000000000000000
χ414-4-444-44-404i−4i00000000000000000000000002-22i−2i0000000000
χ424-4-444-44-404i−4i0000000000000000000000000-22−2i2i0000000000
χ434-4-444-44-40−4i4i00000000000000000000000002-2−2i2i0000000000
χ444-4-444-44-40−4i4i0000000000000000000000000-222i−2i0000000000
χ454-4-4-444-44000004000-400000000000000000000000000002i2−2i200
χ464-4-4-444-44000004000-40000000000000000000000000000−2i22i200
χ474-4-4-444-4400000-400040000000000000000000000000022−220000
χ484-4-4-444-4400000-4000400000000000000000000000000−22220000
χ498-888-88-8-8000000000000000000000000000000000000000000
χ508-88-8-8-888000000000000000000000000000000000000000000

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