Finite Group Databasebeta

← Group #261027

Character table — Group #261027

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222444444444444444444888888882244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-111-1-1-11-1-1-1-11-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1111111-1-1-1-1
χ9111111111-1-1-1-1-1-11-1-1111111111111-1-1-1-1-111-111-11-1-1-1-11-111-1-111-1-1
χ10111111111-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1111-11-1-11-11-1-111-1-111
χ11111111111-1-1-1-1-1-11-1-111111111-1-1-1-11111-111-1-1-1-11-111-11-1-1-111-1-111
χ12111111111-1-1-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-11-11111-1111-1-111-1-1
χ13111111111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-111
χ14111111111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11-1-11-1-111-11111-1-1-11111-1-1
χ15111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-11-1-11111-1-1
χ16111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-1-111-111-1-1-1-111
χ172222222222222-2-2-2-2-2-2-22-200000000000002-200020000-20000000000
χ182222222222222-2-2-2-2-2-2-22-20000000000000-22000-2000020000000000
χ19222222222-2-2-2-222-222-2-22-200000000000002-2000-2000020000000000
χ20222222222-2-2-2-222-222-2-22-20000000000000-2200020000-20000000000
χ2122222222-222-2-2222-2-2-2-2-22000000000000000000022000-2-200000000
χ2222222222-222-2-2222-2-2-2-2-220000000000000000000-2-20002200000000
χ2322222222-222-2-2-2-2-22222-2-222-2-200000000-2002000000000000000000
χ2422222222-222-2-2-2-2-22222-2-2-2-22200000000200-2000000000000000000
χ2522222222-2-2-22222-2-2-222-2-222-2-200000000200-2000000000000000000
χ2622222222-2-2-22222-2-2-222-2-2-2-22200000000-2002000000000000000000
χ2722222222-2-2-222-2-2222-2-2-2200000000000000000002-2000-2200000000
χ2822222222-2-2-222-2-2222-2-2-220000000000000000000-220002-200000000
χ2922-22-2-22-22000000-2002-2-222i−2i2i−2i22-2-2000000002i−2i0000000000000000
χ3022-22-2-22-22000000-2002-2-222i−2i2i−2i-2-22200000000−2i2i0000000000000000
χ3122-22-2-22-22000000-2002-2-22−2i2i−2i2i22-2-200000000−2i2i0000000000000000
χ3222-22-2-22-22000000-2002-2-22−2i2i−2i2i-2-222000000002i−2i0000000000000000
χ3322-22-2-22-2-20000002002-22-22i−2i−2i2i00002i2i−2i−2i0000000002-200000000000
χ3422-22-2-22-2-20000002002-22-22i−2i−2i2i0000−2i−2i2i2i000000000-2200000000000
χ3522-22-2-22-2-20000002002-22-2−2i2i2i−2i00002i2i−2i−2i000000000-2200000000000
χ3622-22-2-22-2-20000002002-22-2−2i2i2i−2i0000−2i−2i2i2i0000000002-200000000000
χ3744-44-4-44-44000000400-44-4-40000000000000000000000000000000000
χ3844-44-4-44-4-4000000-400-44440000000000000000000000000000000000
χ3944-4-44-4-440004i−4i0000000000000000000000000000000000000002-22i−2i
χ4044-4-44-4-440004i−4i000000000000000000000000000000000000000-22−2i2i
χ4144-4-44-4-44000−4i4i0000000000000000000000000000000000000002-2−2i2i
χ4244-4-44-4-44000−4i4i000000000000000000000000000000000000000-222i−2i
χ434-444-4-4-4404-40000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ444-444-4-4-4404-4000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ454-444-4-4-440-440000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ464-444-4-4-440-44000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ474-44-44-44-4000004-40000000000000000000000000000000002i−2i2i−2i0000
χ484-44-44-44-4000004-4000000000000000000000000000000000−2i2i−2i2i0000
χ494-44-44-44-400000-440000000000000000000000000000000002i−2i−2i2i0000
χ504-44-44-44-400000-44000000000000000000000000000000000−2i2i2i−2i0000
χ514-4-4444-4-4000000004i−4i000000002i−2i−2i2i2-2-220000000000000000000000
χ524-4-4444-4-4000000004i−4i00000000−2i2i2i−2i-222-20000000000000000000000
χ534-4-4444-4-400000000−4i4i000000002i−2i−2i2i-222-20000000000000000000000
χ544-4-4444-4-400000000−4i4i00000000−2i2i2i−2i2-2-220000000000000000000000
χ55888-8-88-8-8000000000000000000000000000000000000000000000000
χ568-8-8-8-8888000000000000000000000000000000000000000000000000

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