Finite Group Databasebeta

← Group #10773149

Character table — Group #10773149

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444448888888812121212121212121616161616161616161616161616161624242424242424244848
order1222223444466644446612121212244412121212888888884468812121212121212242424242444444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1
χ6111111111111111111111111-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-11111111-1-1-1-11-1-1
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-11111-111
χ91111-1-111111111-1-1-11-1-111111-11-11-1-1-11111-1-1-1-11-111-1-1-1111-1-111-1-11-1-111-1-111-1
χ101111-1-111111111-1-1-11-1-111111-11-11-1-1-11111-1-1-1-1-111-11-1-11-1-111-1-111-111-1-111-11-1
χ111111-1-111111111-1-1-11-1-111111-11-11-1-1-1-1-1-1-111111-111-1-1-1111-1-111-1-1-111-1-111-1-11
χ121111-1-111111111-1-1-11-1-111111-11-11-1-1-1-1-1-1-11111-111-11-1-11-1-111-1-1111-1-111-1-11-11
χ131111-1-111111111-1-1-11-1-11111-11-111-1-1-11111-1-1-1-11-1-1-1111-111-1-1-1-111-11111-1-1-1-11
χ141111-1-111111111-1-1-11-1-11111-11-111-1-1-11111-1-1-1-1-11-11-111-1-1-11111-1-11-1-1-1-1111-11
χ151111-1-111111111-1-1-11-1-11111-11-111-1-1-1-1-1-1-111111-1-1-1111-111-1-1-1-1111-1-1-1-11111-1
χ161111-1-111111111-1-1-11-1-11111-11-111-1-1-1-1-1-1-11111-11-11-111-1-1-11111-1-1-11111-1-1-11-1
χ17222222222-2-2222-2-22-222-2-22222-2-2-22-2-200000000002002-2-2000000000000000000
χ18222222222-2-2222-2-22-222-2-222-2-222-22-2-20000000000-200-222000000000000000000
χ192222222-2-222222-22-2-22222-2-20000-2-2-2200000000000000000000000022-20000-200
χ202222222-2-222222-22-2-22222-2-20000-2-2-22000000000000000000000000-2-220000200
χ212222222-2-2-2-22222-2-2222-2-2-2-200002-22-20000000000000000000000000002-22-2000
χ222222222-2-2-2-22222-2-2222-2-2-2-200002-22-2000000000000000000000000000-22-22000
χ23222222-12222-1-1-12222-1-1-1-1-1-12222-1-1-1-10000000022-122-1-1-1-1-1-1-1-1-1-1-10000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-12222-1-1-1-100000000-2-2-1-2-2-1-1-1111111110000000000
χ25222222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000221-2-2111-1-1-1-111110000000000
χ26222222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-21221111111-1-1-1-10000000000
χ27222222-122-2-2-1-1-1-2-22-2-1-111-1-122-2-21-1110000000000-100-111−i3i3−i3i3−i3i3−i3i30000000000
χ28222222-122-2-2-1-1-1-2-22-2-1-111-1-122-2-21-1110000000000-100-111i3−i3i3−i3i3−i3i3−i30000000000
χ29222222-122-2-2-1-1-1-2-22-2-1-111-1-1-2-2221-11100000000001001-1-1−i3i3−i3i3i3−i3i3−i30000000000
χ30222222-122-2-2-1-1-1-2-22-2-1-111-1-1-2-2221-11100000000001001-1-1i3−i3i3−i3−i3i3−i3i30000000000
χ312222-2-2222-2-222222-2-2-2-2-2-2222-2-22-2-2220000000000200-22-2000000000000000000
χ322222-2-2222-2-222222-2-2-2-2-2-222-222-2-2-2220000000000-2002-22000000000000000000
χ332222-2-22-2-2222222-22-2-2-222-2-20000-222-20000000000000000000000002-220000-200
χ342222-2-22-2-2222222-22-2-2-222-2-20000-222-2000000000000000000000000-22-20000200
χ352222-2-22-2-2-2-2222-2222-2-2-2-2-2-2000022-220000000000000000000000000002-2-22000
χ362222-2-22-2-2-2-2222-2222-2-2-2-2-2-2000022-22000000000000000000000000000-222-2000
χ372222-2-2-12222-1-1-1-2-2-2211-1-1-1-12-22-2-1111000000002-2-12-211-1-1-111-1-1110000000000
χ382222-2-2-12222-1-1-1-2-2-2211-1-1-1-12-22-2-111100000000-22-1-2211-111-1-111-1-10000000000
χ392222-2-2-12222-1-1-1-2-2-2211-1-1-1-1-22-22-1111000000002-21-22-1-11-1-11111-1-10000000000
χ402222-2-2-12222-1-1-1-2-2-2211-1-1-1-1-22-22-111100000000-2212-2-1-1111-1-1-1-1110000000000
χ412222-2-2-122-2-2-1-1-122-2-21111-1-12-2-2211-1-10000000000-1001-11−i3i3i3−i3−i3i3i3−i30000000000
χ422222-2-2-122-2-2-1-1-122-2-21111-1-12-2-2211-1-10000000000-1001-11i3−i3−i3i3i3−i3−i3i30000000000
χ432222-2-2-122-2-2-1-1-122-2-21111-1-1-222-211-1-10000000000100-11-1−i3i3i3−i3i3−i3−i3i30000000000
χ442222-2-2-122-2-2-1-1-122-2-21111-1-1-222-211-1-10000000000100-11-1i3−i3−i3i3−i3i3i3−i30000000000
χ45444444-2-4-444-2-2-2-44-4-4-2-2-2-2220000222-20000000000000000000000000000000000
χ46444444-2-4-4-4-4-2-2-24-4-44-2-222220000-22-220000000000000000000000000000000000
χ474444-4-4-2-4-444-2-2-24-44-422-2-22200002-2-220000000000000000000000000000000000
χ484444-4-4-2-4-4-4-4-2-2-2-44442222220000-2-22-20000000000000000000000000000000000
χ4944-4-44-4400004-4-400004-400000000000022-2-222-2-200000000000000000000000000
χ5044-4-44-4400004-4-400004-4000000000000-2-222-2-22200000000000000000000000000
χ5144-4-4-44400004-4-40000-4400000000000022-2-2-2-22200000000000000000000000000
χ5244-4-4-44400004-4-40000-44000000000000-2-22222-2-200000000000000000000000000
χ534-44-4004004-4-4-440000004-400000000000000−2i22i2−2i22i200000000000000000000000000
χ544-44-4004004-4-4-440000004-4000000000000002i2−2i22i2−2i200000000000000000000000000
χ554-44-400400-44-4-44000000-440000000000−2i22i2−2i22i2000000000000000000000000000000
χ564-44-400400-44-4-44000000-4400000000002i2−2i22i2−2i2000000000000000000000000000000
χ574-4-440044-400-44-4000000004-4000000000000−2i22i22i2−2i200000000000000000000000000
χ584-4-440044-400-44-4000000004-40000000000002i2−2i2−2i22i200000000000000000000000000
χ594-4-44004-4400-44-400000000-4400000000−2i22i22i2−2i2000000000000000000000000000000
χ604-4-44004-4400-44-400000000-44000000002i2−2i2−2i22i2000000000000000000000000000000
χ6188-8-88-8-40000-4440000-440000000000000000000000000000000000000000000000
χ6288-8-8-88-40000-44400004-40000000000000000000000000000000000000000000000
χ638-88-800-4008-844-4000000-4400000000000000000000000000000000000000000000
χ648-88-800-400-8844-40000004-400000000000000000000000000000000000000000000
χ658-8-8800-48-8004-4400000000-44000000000000000000000000000000000000000000
χ668-8-8800-4-88004-44000000004-4000000000000000000000000000000000000000000

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