Finite Group Databasebeta

← Group #294254

Character table — Group #294254

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444444444444444448888888888888888244444888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111
χ51111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ911111111111111111-1-1-1-1-1-11-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11-1
χ1011111111111111111-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-11
χ1111111111111111111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-11
χ1211111111111111111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11111-1-11-1
χ1311111111111111111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1111-1
χ1411111111111111111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-11
χ1511111111111111111-1-1-1-1-1-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11
χ1611111111111111111-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111-1
χ172222222222-2-222-2-2-222-2-222-2-2000022-2-200000000000000000000-202000000000
χ182222222222-2-222-2-2-222-2-222-2-20000-2-2220000000000000000000020-2000000000
χ192222222222-2-222-2-2-2-2-222-2-2-220000222200000000000000000000-20-2000000000
χ202222222222-2-222-2-2-2-2-222-2-2-220000-2-2-2-200000000000000000000202000000000
χ2122222222-2-222-2-222-222-2-2-2-2-2222-2-20000000000000000000000000-20200000000
χ2222222222-2-222-2-222-222-2-2-2-2-22-2-222000000000000000000000000020-200000000
χ2322222222-2-222-2-222-2-2-22222-2-222220000000000000000000000000-20-200000000
χ2422222222-2-222-2-222-2-2-22222-2-2-2-2-2-2000000000000000000000000020200000000
χ2522222222-2-2-2-2-2-2-2-222222-2-22-20000000022-2-2000000000000000000002-2000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-200000000-2-22200000000000000000000-22000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-222220000000022-2-200000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-2222200000000-2-222000000000000000000002-2000000
χ29222-2-22-2-2002-2002-20002i−2i2i−2i002i−2i2-20000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−2000000000000
χ30222-2-22-2-2002-2002-20002i−2i2i−2i002i−2i2-200000000−2−222−i2−i2i2i2−i2−i2i2i2−2−222000000000000
χ31222-2-22-2-2002-2002-20002i−2i2i−2i00−2i2i-220000000022−2−2i2i2−i2−i2−i2−i2i2i2−2−222000000000000
χ32222-2-22-2-2002-2002-20002i−2i2i−2i00−2i2i-2200000000−2−222−i2−i2i2i2i2i2−i2−i222−2−2000000000000
χ33222-2-22-2-2002-2002-2000−2i2i−2i2i002i−2i-220000000022−2−2−i2−i2i2i2i2i2−i2−i2−2−222000000000000
χ34222-2-22-2-2002-2002-2000−2i2i−2i2i002i−2i-2200000000−2−222i2i2−i2−i2−i2−i2i2i222−2−2000000000000
χ35222-2-22-2-2002-2002-2000−2i2i−2i2i00−2i2i2-20000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−2000000000000
χ36222-2-22-2-2002-2002-2000−2i2i−2i2i00−2i2i2-200000000−2−222i2i2−i2−i2i2i2−i2−i2−2−222000000000000
χ372-2-22-222-22-22-22-2-222000000-20000000002i−2i2i−2i00002-22-200000000000000002i−2i00
χ382-2-22-222-22-22-22-2-222000000-20000000002i−2i2i−2i0000-22-220000000000000000−2i2i00
χ392-2-22-222-22-22-22-2-222000000-2000000000−2i2i−2i2i00002-22-20000000000000000−2i2i00
χ402-2-22-222-22-22-22-2-222000000-2000000000−2i2i−2i2i0000-22-2200000000000000002i−2i00
χ412-2-22-222-2-22-22-222-22000000-20000000002i−2i−2i2i2-22-20000000000000000002i−2i0000
χ422-2-22-222-2-22-22-222-22000000-20000000002i−2i−2i2i-22-22000000000000000000−2i2i0000
χ432-2-22-222-2-22-22-222-22000000-2000000000−2i2i2i−2i2-22-2000000000000000000−2i2i0000
χ442-2-22-222-2-22-22-222-22000000-2000000000−2i2i2i−2i-22-220000000000000000002i−2i0000
χ45444-4-44-4-400-4400-440004i−4i−4i4i000000000000000000000000000000000000000000
χ46444-4-44-4-400-4400-44000−4i4i4i−4i000000000000000000000000000000000000000000
χ4744-44-4-4-440000000004i−4i000000000000000000000000002-22-22i−2i2i−2i000000000000
χ4844-44-4-4-440000000004i−4i00000000000000000000000000-22-22−2i2i−2i2i000000000000
χ4944-44-4-4-44000000000−4i4i000000000000000000000000002-22-2−2i2i−2i2i000000000000
χ5044-44-4-4-44000000000−4i4i00000000000000000000000000-22-222i−2i2i−2i000000000000
χ5144-4-44-44-44-400-44000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ5244-4-44-44-44-400-4400000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ5344-4-44-44-4-44004-400000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5444-4-44-44-4-44004-40000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ554-44-4-4-4444400-4-40000000000000004i−4i0000000000000000000000000000000000
χ564-44-4-4-4444400-4-4000000000000000−4i4i0000000000000000000000000000000000
χ574-44-4-4-444-4-40044000000000000000004-400000000000000000000000000000000
χ584-44-4-4-444-4-4004400000000000000000-4400000000000000000000000000000000
χ594-4-44-444-44-4-444-44-4-4000000400000000000000000000000000000000000000000
χ604-4-44-444-4-444-4-44-44-4000000400000000000000000000000000000000000000000
χ614-4-4-444-44004400-4-400000000000000000000000002i2−2i2−2i22i200000000000000000000
χ624-4-4-444-44004400-4-40000000000000000000000000−2i22i22i2−2i200000000000000000000
χ634-4-4-444-4400-4-4004400000000000000000000022−22−2222000000000000000000000000
χ644-4-4-444-4400-4-40044000000000000000000000−222222−22000000000000000000000000
χ658-8888-8-8-8000000000000000000000000000000000000000000000000000000000

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