Finite Group Databasebeta

← Group #300693

Character table — Group #300693

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222448888224444888888888888882244444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11111-1-11-1
χ91111111111111111-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-11-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-11
χ17222222222-22-2-222-20000-2-22222220022-2-20000000000000000-200-200000000
χ18222222222-22-2-222-20000-2-22222-2-200-2-2-2-20000000000000000200200000000
χ19222222222-22-2-222-20000-2-2-2-2-2-22200-2-2220000000000000000200-200000000
χ20222222222-22-2-222-20000-2-2-2-2-2-2-2-20022220000000000000000-200200000000
χ2122222222-22-222-2-222222-2-2000000-2-2000022-2-200000000002-2000000000000
χ2222222222-22-222-2-222222-2-2000000-2-20000-2-2220000000000-22000000000000
χ2322222222-22-222-2-22-2-2-2-2-2-200000022000022-2-20000000000-22000000000000
χ2422222222-22-222-2-22-2-2-2-2-2-2000000220000-2-22200000000002-2000000000000
χ25222-2-2-22-220-200-22000000022-2-22-2002-200i2−i2i2−i20000i2i2−i2−i20000000000i2−i2i2−i200
χ26222-2-2-22-220-200-22000000022-2-22-2002-200−i2i2−i2i20000−i2−i2i2i20000000000−i2i2−i2i200
χ27222-2-2-22-220-200-22000000022-2-2-2200-2200i2−i2i2−i20000i2i2−i2−i20000000000−i2i2−i2i200
χ28222-2-2-22-220-200-22000000022-2-2-2200-2200−i2i2−i2i20000−i2−i2i2i20000000000i2−i2i2−i200
χ29222-2-2-22-220-200-220000000-2-2222-200-2200i2−i2i2−i20000−i2−i2i2i20000000000i2−i2−i2i200
χ30222-2-2-22-220-200-220000000-2-2222-200-2200−i2i2−i2i20000i2i2−i2−i20000000000−i2i2i2−i200
χ31222-2-2-22-220-200-220000000-2-222-22002-200i2−i2i2−i20000−i2−i2i2i20000000000−i2i2i2−i200
χ32222-2-2-22-220-200-220000000-2-222-22002-200−i2i2−i2i20000i2i2−i2−i20000000000i2−i2−i2i200
χ332-2-2-2-222222-2-2-22-2222-2-2-220000002-20000000000002-22-2000000002-2000000
χ342-2-2-2-222222-2-2-22-2222-2-2-220000002-2000000000000-22-2200000000-22000000
χ352-2-2-2-222222-2-2-22-22-2-222-22000000-220000000000002-22-200000000-22000000
χ362-2-2-2-222222-2-2-22-22-2-222-22000000-22000000000000-22-22000000002-2000000
χ372-2-2-2-2222-222-2-2-22222-2-22-22-22-200-22002-2000022-2-200000000000000000000
χ382-2-2-2-2222-222-2-2-22222-2-22-2-22-2200-2200-220000-2-22200000000000000000000
χ392-2-2-2-2222-222-2-2-222-2-2222-22-22-2002-2002-20000-2-22200000000000000000000
χ402-2-2-2-2222-222-2-2-222-2-2222-2-22-22002-200-22000022-2-200000000000000000000
χ412-2-2-2-2222-2-2222-22-20000-222-22-2000000-220000000000002-20002-2000000000
χ422-2-2-2-2222-2-2222-22-20000-222-22-2000000-22000000000000-22000-22000000000
χ432-2-2-2-2222-2-2222-22-20000-22-22-220000002-20000000000002-2000-22000000000
χ442-2-2-2-2222-2-2222-22-20000-22-22-220000002-2000000000000-220002-2000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-44-4-404004-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ47444-4-4-44-4-404004-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ4844-44-4-4-440404-400-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ4944-44-4-4-440404-400-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ5044-44-4-4-440-40-440044-44-4000000000000000000000000000000000000000000
χ5144-44-4-4-440-40-44004-44-44000000000000000000000000000000000000000000
χ524-44-44-4-44040-4400-400000000000000000000002i2−2i2−2i22i200000000000000000000
χ534-44-44-4-44040-4400-40000000000000000000000−2i22i22i2−2i200000000000000000000
χ544-44-44-4-440-404-40044-4-44000000000000000000000000000000000000000000
χ554-44-44-4-440-404-4004-444-4000000000000000000000000000000000000000000
χ564-4-444-44-440400-4-40000000000000000000000000002i2−2i2−2i22i20000000000000000
χ574-4-444-44-440400-4-4000000000000000000000000000−2i22i22i2−2i20000000000000000
χ584-4-444-44-4-40-4004400000004-4-44000000000000000000000000000000000000
χ594-4-444-44-4-40-400440000000-444-4000000000000000000000000000000000000
χ604-4-4-4-44444-4-4444-4-400004-40000000000000000000000000000000000000000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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