Finite Group Databasebeta

← Group #328773

Character table — Group #328773

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888444444448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-11-1-111111111111-1-11-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ91111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11-1-1-1-111111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-11111-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-1111-1-111-1-111-11
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-11111-1-1-1-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-11111-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-111-1-11111-1-1-11111-1-1-1-1-111-1-1-111-1-111-1-1111-1
χ151111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-1111-1-111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-22-22222-2-2-2-2000000-2000000000022-200-2000000000000
χ1822222222222-2-2-22-22222-2-2-2-2000000-20000000000-2-22002000000000000
χ1922222222222-2-2-22-2-2-2-2-222-2-2000000200000000002-2200-2000000000000
χ2022222222222-2-2-22-2-2-2-2-222-2-200000020000000000-22-2002000000000000
χ2122222222-2-2-2222-2222-2-222-2-222-2-222-2-2-200000000000000000000000000
χ2222222222-2-2-2222-2222-2-222-2-2-2-222-2-2-22200000000000000000000000000
χ2322222222-2-2-2222-22-2-222-2-2-2-22222-2-22-2-200000000000000000000000000
χ2422222222-2-2-2222-22-2-222-2-2-2-2-2-2-2-22222200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222000000200000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22200000020000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000-2202-20000000000
χ29222-2-22-2-20002-2-2022-2002-2002-2002-2000i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i2000000
χ30222-2-22-2-20002-2-2022-2002-2002-2002-2000−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i2000000
χ31222-2-22-2-20002-2-2022-2002-200-2200-22000i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i2000000
χ32222-2-22-2-20002-2-2022-2002-200-2200-22000−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i2000000
χ33222-2-22-2-20002-2-202-2200-22002-200-22000i2i2−i2−i2−i2−i2i2i200000000i2−i2−i2i2000000
χ34222-2-22-2-20002-2-202-2200-22002-200-22000−i2−i2i2i2i2i2−i2−i200000000−i2i2i2−i2000000
χ35222-2-22-2-20002-2-202-2200-2200-22002-2000i2i2−i2−i2−i2−i2i2i200000000−i2i2i2−i2000000
χ36222-2-22-2-20002-2-202-2200-2200-22002-2000−i2−i2i2i2i2i2−i2−i200000000i2−i2−i2i2000000
χ37444-4-44-4-4000-4440-44-400-440000000000000000000000000000000000000
χ38444-4-44-4-4000-4440-4-44004-40000000000000000000000000000000000000
χ3944-44-4-44-444-4000-4000000000000000000000022−2222−22000000000000000000
χ4044-44-4-44-444-4000-40000000000000000000000−2222−2222000000000000000000
χ4144-44-4-44-4-4-4400040000000000000000002i2−2i22i2−2i20000000000000000000000
χ4244-44-4-44-4-4-440004000000000000000000−2i22i2−2i22i20000000000000000000000
χ4344-4-44-4-4400000000004i−4i00000000000002-2-222i−2i−2i2i000000000000000000
χ4444-4-44-4-4400000000004i−4i0000000000000-222-2−2i2i2i−2i000000000000000000
χ4544-4-44-4-440000000000−4i4i00000000000002-2-22−2i2i2i−2i000000000000000000
χ4644-4-44-4-440000000000−4i4i0000000000000-222-22i−2i−2i2i000000000000000000
χ474-44-4-4-4444-44000-400000000000000000000000000000000000000002i2−2i200
χ484-44-4-4-4444-44000-40000000000000000000000000000000000000000−2i22i200
χ494-44-4-4-444-44-400040000000000000000000000000000000000000022−220000
χ504-44-4-4-444-44-4000400000000000000000000000000000000000000−22220000
χ514-4-44-44-4400044-40-400000000004i−4i0000000000000000000000000000000
χ524-4-44-44-4400044-40-40000000000−4i4i0000000000000000000000000000000
χ534-4-44-44-44000-4-44040000000000000004-400000000000000000000000000
χ544-4-44-44-44000-4-4404000000000000000-4400000000000000000000000000
χ554-4-4-4444-44-4-44-444-4000000-4400000000000000000000000000000000000
χ564-4-4-4444-44-4-4-44-4440000004-400000000000000000000000000000000000
χ574-4-4-4444-4-4444-44-4-40000004-400000000000000000000000000000000000
χ584-4-4-4444-4-444-44-4-44000000-4400000000000000000000000000000000000
χ598-8888-8-8-8000000000000000000000000000000000000000000000000000

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