Finite Group Databasebeta

← Group #10778190

Character table — Group #10778190

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222244444446666888888888888881212121212121212161616161616161616162424242424242432324848
order12223444466648812121212444424888888812242424242444448824612242424242424888888861244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1111-1-11111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1111111111-1-11-1-111-1-1-1-11111-1-11-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-11-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-111-1-111111111-111-111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-111-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111-1-1111111111111-1-1-1-1-11-1-1-1-1111111-1-1-111111-1-1-1-1-1-1-111-1-1-111-1
χ101111111111111-1-11111111111-1-1-1-1-1111-1-1-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1111-1-11
χ111111111111111-1-111111111-1-11111-1-1-11-1-1-1-11-1-11-1-1-1-11-1-1-111-1-111-11111-1-11-1-11
χ121111111111111-1-111111111-1-1-1-111-1111-1-1-1-11-1-11-1-1-1-1-11-1-1-1-11111-111-1-111-111-1
χ131111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1111-1-111-11-11
χ141111111111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-111111-1-11-11-1
χ151111111111111-1-11111-1-1-1-1-1-11111-1-1-11-1-1-1-1-111-111111-1-1-111-1-1111-1-1-1-1111-11-1
χ161111111111111-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-1-111-11111-11-1-1-1-111111-1-111-1-1-11-11
χ17222222-2-22222-200-222-222-2-22-20000000-20000-2222-2-200002-200000000000000000
χ18222222-2-22222-200-222-222-2-2-220000000-20000-2-2-22220000-2200000000000000000
χ19222222-2-22222-200-222-2-2-2222-20000000-200002-2-2-22200002-200000000000000000
χ20222222-2-22222-200-222-2-2-222-220000000-20000222-2-2-20000-2200000000000000000
χ2122222-222-2222-2222-2-222222000000-200-2-2-222-200-200220000000000-20000000000
χ2222222-222-2222-2222-2-22-2-2-2-2000000-200-2-2-222200200-2-2000000000020000000000
χ2322222-222-2222-2-2-22-2-222222000000200-222-2-2-200-200-2-2000000000020000000000
χ2422222-222-2222-2-2-22-2-22-2-2-2-2000000200-222-2-2200200220000000000-20000000000
χ2522222-2-2-2-2222200-2-2-2-222-2-200002i−2i00020000200-20000000000002i−2i02i−2i00000000
χ2622222-2-2-2-2222200-2-2-2-222-2-20000−2i2i00020000200-2000000000000−2i2i0−2i2i00000000
χ2722222-2-2-2-2222200-2-2-2-2-2-22200002i−2i00020000-20020000000000002i−2i0−2i2i00000000
χ2822222-2-2-2-2222200-2-2-2-2-2-2220000−2i2i00020000-2002000000000000−2i2i02i−2i00000000
χ292222-12222-1-1-1222-1-1-1-10000222222222-1-1-1-1-10000000022-1-1-1-1-1-1-1-10000000-1-100
χ302222-12222-1-1-1222-1-1-1-1000022-2-2222-2-2-1-1-1-1-100000000-2-2-1-11111-1-100000001100
χ312222-12222-1-1-1222-1-1-1-10000-2-222-2-2222-1-1-1-1-100000000-2-211-1-1-1-11100000001100
χ322222-12222-1-1-1222-1-1-1-10000-2-2-2-2-2-22-2-2-1-1-1-1-10000000022111111110000000-1-100
χ332222-12222-1-1-12-2-2-1-1-1-100002222-2-2-2-2-2-1111100000000-22-1-1-1-1111100000001-100
χ342222-12222-1-1-12-2-2-1-1-1-1000022-2-2-2-2-222-11111000000002-2-1-111-1-1110000000-1100
χ352222-12222-1-1-12-2-2-1-1-1-10000-2-22222-2-2-2-11111000000002-211-1-111-1-10000000-1100
χ362222-12222-1-1-12-2-2-1-1-1-10000-2-2-2-222-222-1111100000000-221111-1-1-1-100000001-100
χ372-22-220-220-22-202i−2i200-22i−2i2i−2i00−i2i20002−20002i−2i0000002-20000−i2i22−2000002−2−i2i20000
χ382-22-220-220-22-202i−2i200-22i−2i2i−2i00i2−i2000−220002i−2i0000002-20000i2−i2−2200000−22i2−i20000
χ392-22-220-220-22-202i−2i200-2−2i2i−2i2i00−i2i20002−20002i−2i000000-220000−i2i22−200000−22i2−i20000
χ402-22-220-220-22-202i−2i200-2−2i2i−2i2i00i2−i2000−220002i−2i000000-220000i2−i2−22000002−2−i2i20000
χ412-22-220-220-22-20−2i2i200-22i−2i2i−2i00−i2i2000−22000−2i2i000000-220000−i2i2−22000002−2i2−i20000
χ422-22-220-220-22-20−2i2i200-22i−2i2i−2i00i2−i20002−2000−2i2i000000-220000i2−i22−200000−22−i2i20000
χ432-22-220-220-22-20−2i2i200-2−2i2i−2i2i00−i2i2000−22000−2i2i0000002-20000−i2i2−2200000−22−i2i20000
χ442-22-220-220-22-20−2i2i200-2−2i2i−2i2i00i2−i20002−2000−2i2i0000002-20000i2−i22−2000002−2i2−i20000
χ454444-24-4-44-2-2-2-4002-2-2200004-40000000200000000000000-2200000000000000000
χ464444-24-4-44-2-2-2-4002-2-220000-4400000002000000000000002-200000000000000000
χ474444-2-444-4-2-2-2-444-222-20000000000-400222-2-200000000000000000000000000000
χ484444-2-444-4-2-2-2-4-4-4-222-200000000004002-2-22200000000000000000000000000000
χ494444-2-4-4-4-4-2-2-24002222000000004i−4i000-200000000000000000000−2i2i00000000000
χ504444-2-4-4-4-4-2-2-2400222200000000−4i4i000-2000000000000000000002i−2i00000000000
χ514-44-4404-40-44-4000-40044i−4i−4i4i0000000000000000000000000000000000000000000
χ524-44-4404-40-44-4000-4004−4i4i4i−4i0000000000000000000000000000000000000000000
χ534-44-4-20-4402-2204i−4i-2002000000−2i22i200022−22000−2i2i000000000000i2−i2−220000000000000
χ544-44-4-20-4402-2204i−4i-20020000002i2−2i2000−2222000−2i2i000000000000−i2i22−20000000000000
χ554-44-4-20-4402-220−4i4i-2002000000−2i22i2000−22220002i−2i000000000000i2−i22−20000000000000
χ564-44-4-20-4402-220−4i4i-20020000002i2−2i200022−220002i−2i000000000000−i2i2−220000000000000
χ574-4-444400-4-4-4400004-4000000000000000000004i−4i00000000000000000000000000
χ584-4-444400-4-4-4400004-400000000000000000000−4i4i00000000000000000000000000
χ594-4-444-4004-4-440000-44000000000000000000000004-400000000000000000000000
χ604-4-444-4004-4-440000-4400000000000000000000000-4400000000000000000000000
χ6188-8-8800008-8-8000000000000000000000000000000000000000000000000000000
χ6288-8-8-40000-44400000000000000000000026−260000000000000000000000000000000
χ6388-8-8-40000-444000000000000000000000−26260000000000000000000000000000000
χ648-88-8-408-804-44000400-400000000000000000000000000000000000000000000000
χ658-8-88-4800-844-40000-44000000000000000000000000000000000000000000000000
χ668-8-88-4-800844-400004-4000000000000000000000000000000000000000000000000

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