Finite Group Databasebeta

← Group #325513

Character table — Group #325513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444488882244444488888888882488888888884444
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-111-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-111-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111-1-11-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-11-11
χ11111111111111111111-1-1-1-111-111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-1-11
χ12111111111111111111-1-1-1-111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-111-1
χ13111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-111-1-111-1-111-11-11
χ14111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-111-1-111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-11
χ17222222222-2-2-2222-2-2-20000222-2-22-2-20000000000-2200000000000000
χ18222222222-2-2-2222-2-2-2000022-2-2-2-22200000000002-200000000000000
χ19222222222-2-2-2222-2-2-20000-2-22222-2-200000000002-200000000000000
χ20222222222-2-2-2222-2-2-20000-2-2-222-2220000000000-2200000000000000
χ2122222222-2222-2-2-22-2-2222200200-2-22-2-222-2-200000000000000000000
χ2222222222-2222-2-2-22-2-2222200-20022-2-2-2-2-22200000000000000000000
χ2322222222-2222-2-2-22-2-2-2-2-2-200200-2-2222-2-22200000000000000000000
χ2422222222-2222-2-2-22-2-2-2-2-2-200-20022-22222-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222000000200-22-20000002i2i−2i−2i00000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222000000200-22-2000000−2i−2i2i2i0000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222000000-2002-220000002i2i−2i−2i0000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222000000-2002-22000000−2i−2i2i2i00000000002i−2i0000
χ29222-22-2-2-222-2-2-2-2222-222-2-2000000002-200000000002i−2i2i−2i0000000000
χ30222-22-2-2-222-2-2-2-2222-222-2-2000000002-20000000000−2i2i−2i2i0000000000
χ31222-22-2-2-222-2-2-2-2222-2-2-22200000000-2200000000002i−2i−2i2i0000000000
χ32222-22-2-2-222-2-2-2-2222-2-2-22200000000-220000000000−2i2i2i−2i0000000000
χ33222-22-2-2-2-22-2-222-22-2222-2-200000000-22000000000000002i−2i2i−2i000000
χ34222-22-2-2-2-22-2-222-22-2222-2-200000000-2200000000000000−2i2i−2i2i000000
χ35222-22-2-2-2-22-2-222-22-22-2-222000000002-2000000000000002i−2i−2i2i000000
χ36222-22-2-2-2-22-2-222-22-22-2-222000000002-200000000000000−2i2i2i−2i000000
χ37444-44-4-4-44-444-4-44-4-4400000000000000000000000000000000000000
χ38444-44-4-4-4-4-44444-4-44-400000000000000000000000000000000000000
χ3944-44-44-4-440004-4-400000000000000000000022−2222−220000000000000000
χ4044-44-44-4-440004-4-4000000000000000000000−2222−22220000000000000000
χ4144-44-44-4-4-4000-4440000000000000000000002i2−2i2−2i22i20000000000000000
χ4244-44-44-4-4-4000-444000000000000000000000−2i22i22i2−2i20000000000000000
χ4344-4-4-4-4444000-44-400000000004i−4i00000000000000000000000000000
χ4444-4-4-4-4444000-44-40000000000−4i4i00000000000000000000000000000
χ4544-4-4-4-444-40004-4400000004-400000000000000000000000000000000
χ4644-4-4-4-444-40004-440000000-4400000000000000000000000000000000
χ474-4-444-4-44044-4000-400000000000000004i−4i0000000000000000000000
χ484-4-444-4-44044-4000-40000000000000000−4i4i0000000000000000000000
χ494-4-444-4-440-4-440004004-44-40000000000000000000000000000000000
χ504-4-444-4-440-4-44000400-44-440000000000000000000000000000000000
χ514-4-4-4444-404-44000-40000000000000000004i−4i00000000000000000000
χ524-4-4-4444-404-44000-4000000000000000000−4i4i00000000000000000000
χ534-4-4-4444-40-44-40004004-4-440000000000000000000000000000000000
χ544-4-4-4444-40-44-4000400-444-40000000000000000000000000000000000
χ558-888-8-88-8000000000000000000000000000000000000000000000000
χ568-88-8-88-88000000000000000000000000000000000000000000000000

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