Finite Group Databasebeta

← Group #273082

Character table — Group #273082

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-111111111-1-11-11-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-111-1-1-1-11111
χ51111111111111111111111-1-1111-1-11111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1-11-111-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-11-1-1-1-1111111111-1-11-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-11-1-111111111
χ9111111111111-1-1-1-11-1-11111111-111-1-11111-1-1-1-1-11-11-1-1111-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-11111111-111-1-1-1-1-1-11111-11-11-1-11-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-1-111111111-1-1-1-11-1-1-1-11-1-1-111111-1-1-1-111
χ12111111111111-1-1-1-11-1-111111-1-1-11111-1-1-1-111111-1-1-1-11-1111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1111-1-11111-1-1
χ14111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-11111111-11-1-1111-1-111-1-1-1-111
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-111-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-11111-1-111-1-1
χ172222222222222222-2-2-2-2-2-20022-20022000000000-2000-200000000000000
χ182222222222222222-2-2-2-2-2-200-2-2-200-2-20000000002000200000000000000
χ19222222222222-2-2-2-2-222-2-2-20022200-2-2000000000-2000200000000000000
χ20222222222222-2-2-2-2-222-2-2-200-2-2200220000000002000-200000000000000
χ2122222222-2-2-2-222-2-2222-2-220000-2000000000000200200-200-20000000000
χ2222222222-2-2-2-222-2-2222-2-220000-2000000000000-200-20020020000000000
χ2322222222-2-2-2-222-2-2-2-2-222-222002-2-2000000000000-202000000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2-2-20022200000000000020-2000000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2200002000000000000200-200200-20000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-2200002000000000000-200200-20020000000000
χ2722222222-2-2-2-2-2-222-22222-22200-2-2-200000000000020-2000000000000000
χ2822222222-2-2-2-2-2-222-22222-2-2-200-222000000000000-202000000000000000
χ29222-2-2-2-222-22-22i−2i2i−2i000000002i−2i0002-222−2−2i2i2−i2−i20000000000000000i2−i22−2
χ30222-2-2-2-222-22-22i−2i2i−2i000000002i−2i0002-2−2−222−i2−i2i2i20000000000000000−i2i2−22
χ31222-2-2-2-222-22-22i−2i2i−2i00000000−2i2i000-2222−2−2i2i2−i2−i20000000000000000−i2i2−22
χ32222-2-2-2-222-22-22i−2i2i−2i00000000−2i2i000-22−2−222−i2−i2i2i20000000000000000i2−i22−2
χ33222-2-2-2-222-22-2−2i2i−2i2i000000002i−2i000-2222−2−2−i2−i2i2i20000000000000000i2−i2−22
χ34222-2-2-2-222-22-2−2i2i−2i2i000000002i−2i000-22−2−222i2i2−i2−i20000000000000000−i2i22−2
χ35222-2-2-2-222-22-2−2i2i−2i2i00000000−2i2i0002-222−2−2−i2−i2i2i20000000000000000−i2i22−2
χ36222-2-2-2-222-22-2−2i2i−2i2i00000000−2i2i0002-2−2−222i2i2−i2−i20000000000000000i2−i2−22
χ372-2-22-22-2222-2-200002002-2-22-20002-20000002i−2i2i−2i000000000000002i−2i0000
χ382-2-22-22-2222-2-200002002-2-22-20002-2000000−2i2i−2i2i00000000000000−2i2i0000
χ392-2-22-22-2222-2-200002002-2-2-22000-220000002i−2i2i−2i00000000000000−2i2i0000
χ402-2-22-22-2222-2-200002002-2-2-22000-22000000−2i2i−2i2i000000000000002i−2i0000
χ412-2-22-22-22-2-2220000-2002-222-2000-22002-22-200000000000000002-2000000
χ422-2-22-22-22-2-2220000-2002-222-2000-2200-22-220000000000000000-22000000
χ432-2-22-22-22-2-2220000-2002-22-220002-2002-22-20000000000000000-22000000
χ442-2-22-22-22-2-2220000-2002-22-220002-200-22-2200000000000000002-2000000
χ45444-4-4-4-44-44-444i−4i−4i4i0000000000000000000000000000000000000000000
χ46444-4-4-4-44-44-44−4i4i4i−4i0000000000000000000000000000000000000000000
χ474-44-4-444-40000000004i−4i0000000000000000000000000002-202i−2i00000000
χ484-44-4-444-40000000004i−4i000000000000000000000000000-220−2i2i00000000
χ494-44-4-444-4000000000−4i4i0000000000000000000000000002-20−2i2i00000000
χ504-44-4-444-4000000000−4i4i000000000000000000000000000-2202i−2i00000000
χ514-4-44-44-4444-4-40000-400-4440000000000000000000000000000000000000
χ524-4-44-44-44-4-4440000400-44-40000000000000000000000000000000000000
χ534-4-4-44-4444-4-440000000000000000000000022−22−222200000000000000000000
χ544-4-4-44-4444-4-4400000000000000000000000−222222−2200000000000000000000
χ554-4-4-44-444-444-4000000000000000000022−22−2222000000000000000000000000
χ564-4-4-44-444-444-40000000000000000000−222222−22000000000000000000000000
χ5788-88-8-88-8000000000000000000000000000000000000000000000000000
χ5888-8-888-8-8000000000000000000000000000000000000000000000000000
χ598-8888-8-8-8000000000000000000000000000000000000000000000000000

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