Finite Group Databasebeta

← Group #335910

Character table — Group #335910

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-111-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-111-111
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1111-1-1
χ172222222222-2-2-222-2-2-2000022-2-2220000000022-2-200000-20000000000000
χ182222222222-2-2-222-2-2-2000022-2-2-2-200000000-2-2220000020000000000000
χ192222222222-2-2-222-2-2-20000-2-2222200000000-2-22200000-20000000000000
χ202222222222-2-2-222-2-2-20000-2-222-2-20000000022-2-20000020000000000000
χ2122222222-2-2222-2-22-2-2222200000022-2-2000000000000-20002-2000000000
χ2222222222-2-2222-2-22-2-22222000000-2-2-2-20000000000002000-22000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-20000002222000000000000-2000-22000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2000000-2-22200000000000020002-2000000000
χ25222-2-2-2-222-20002-2000i2i2−i2−i22-2002i−2i00i2−i2i2i2−i2−i22i−2i0022−2−20000002−20000000
χ26222-2-2-2-222-20002-2000i2i2−i2−i22-200−2i2i00i2−i2i2i2−i2−i2−2i2i00−2−222000000−220000000
χ27222-2-2-2-222-20002-2000i2i2−i2−i2-22002i−2i00i2−i2−i2−i2i2i2−2i2i00−2−2220000002−20000000
χ28222-2-2-2-222-20002-2000i2i2−i2−i2-2200−2i2i00i2−i2−i2−i2i2i22i−2i0022−2−2000000−220000000
χ29222-2-2-2-222-20002-2000−i2−i2i2i22-2002i−2i00−i2i2−i2−i2i2i22i−2i00−2−222000000−220000000
χ30222-2-2-2-222-20002-2000−i2−i2i2i22-200−2i2i00−i2i2−i2−i2i2i2−2i2i0022−2−20000002−20000000
χ31222-2-2-2-222-20002-2000−i2−i2i2i2-22002i−2i00−i2i2i2i2−i2−i2−2i2i0022−2−2000000−220000000
χ32222-2-2-2-222-20002-2000−i2−i2i2i2-2200−2i2i00−i2i2i2i2−i2−i22i−2i00−2−2220000002−20000000
χ332-22-2-222-222-22-2-2-22-22000000000000002-22-200000000002i−2i0000002i−2i000
χ342-22-2-222-222-22-2-2-22-22000000000000002-22-20000000000−2i2i000000−2i2i000
χ352-22-2-222-222-22-2-2-22-2200000000000000-22-2200000000002i−2i000000−2i2i000
χ362-22-2-222-222-22-2-2-22-2200000000000000-22-220000000000−2i2i0000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-44-44000-440002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ39444-4-4-4-44-44000-44000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ4044-44-44-4-4000000000022−2222−2200000000000000002i2−2i22i−2i2i−2i000000000000000
χ4144-44-44-4-4000000000022−2222−220000000000000000−2i22i2−2i2i−2i2i000000000000000
χ4244-44-44-4-40000000000−2222−222200000000000000002i2−2i2−2i2i−2i2i000000000000000
χ4344-44-44-4-40000000000−2222−22220000000000000000−2i22i22i−2i2i−2i000000000000000
χ4444-4-44-44-4004-4-40040000000000000000000000002i2−2i2−2i22i2000000000000000
χ4544-4-44-44-4004-4-4004000000000000000000000000−2i22i22i2−2i2000000000000000
χ4644-4-44-44-400-44400-4004i−4i−4i4i0000000000000000000000000000000000000
χ4744-4-44-44-400-44400-400−4i4i4i−4i0000000000000000000000000000000000000
χ484-4444-4-4-44-4000-44000000000000000002i2−2i2−2i22i200000000000000000000000
χ494-4444-4-4-44-4000-4400000000000000000−2i22i22i2−2i200000000000000000000000
χ504-4444-4-4-4-440004-40000000004i−4i000000000000000000000000000000000
χ514-4444-4-4-4-440004-4000000000−4i4i000000000000000000000000000000000
χ524-44-4-444-4444-44-4-4-44-400000000000000000000000000000000000000000
χ534-44-4-444-4-4-44-4444-4-4400000000000000000000000000000000000000000
χ544-44-4-444-4-4-4-44-44444-400000000000000000000000000000000000000000
χ554-4-44-4-4440044-400-40000000000000000000000000000000000002i2−2i200000
χ564-4-44-4-4440044-400-4000000000000000000000000000000000000−2i22i200000
χ574-4-44-4-44400-4-440040000000000004-400000000000000000000000000000
χ584-4-44-4-44400-4-44004000000000000-4400000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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