Finite Group Databasebeta

← Group #10883529

Character table — Group #10883529

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order1222223444466666121212122444448888242424244444888868812121212122424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-111-1-1-1-11111-1-1-1-11-1
χ411111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-1-1-1-1-11111-11
χ5111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-111-1-1-11
χ6111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-111-1-1111-1
χ7111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ8111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-11111-1-111
χ911111111111111111111-11111-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1011111111111111111111-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ1111111111111111111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-11111-1-111-1-111-11
χ1211111111111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-1111111-1-111-1-11-1
χ1311111111111111111111-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-111111-1
χ1411111111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1111111-1-1-1-1-11
χ1511111111111111111111-1-1-1-1-1-111-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1
χ172222222-2-2-2-222222-2-2-2-2000000002i−2i000022-2-200000000000000002i−2i0000002i−2i00
χ182222222-2-2-2-222222-2-2-2-2000000002i−2i0000-2-22200000000000000002i−2i000000−2i2i00
χ192222222-2-2-2-222222-2-2-2-200000000−2i2i000022-2-20000000000000000−2i2i000000−2i2i00
χ202222222-2-2-2-222222-2-2-2-200000000−2i2i0000-2-2220000000000000000−2i2i0000002i−2i00
χ21222222-12222-1-1-1-1-1-1-1-1-12222222222-1-1-1-100000000-122-1-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-1-1-1-1-1222-2-22-2-2-2-2111100000000-12-2-1-1-111-1-111110000000000
χ23222222-12222-1-1-1-1-1-1-1-1-12-2-2222-2-2-2-2111100000000-1-22-111-1-111-1-1110000000000
χ24222222-12222-1-1-1-1-1-1-1-1-12-2-2-2-222222-1-1-1-100000000-1-2-2-111111111-1-10000000000
χ25222222-12222-1-1-1-1-1-1-1-1-1-22222-222-2-2-1-1-1-1000000001-2-21-1-1-1-11111110000000000
χ26222222-12222-1-1-1-1-1-1-1-1-1-222-2-2-2-2-2221111000000001-221-1-11111-1-1-1-10000000000
χ27222222-12222-1-1-1-1-1-1-1-1-1-2-2-222-2-2-22211110000000012-2111-1-1-1-111-1-10000000000
χ28222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-1-1-1-10000000012211111-1-1-1-1110000000000
χ292222-2-222-2-22222-2-222-2-20000002-20022-2-22-22-222-2-2000000000000000000000000
χ302222-2-222-2-22222-2-222-2-20000002-20022-2-2-22-22-2-222000000000000000000000000
χ312222-2-222-2-22222-2-222-2-2000000-2200-2-2222-22-2-2-222000000000000000000000000
χ322222-2-222-2-22222-2-222-2-2000000-2200-2-222-22-2222-2-2000000000000000000000000
χ332222-2-22-222-2222-2-2-2-22220000-2000000002-2-220000200-200000000002-200000000
χ342222-2-22-222-2222-2-2-2-22220000-200000000-222-20000200-20000000000-2200000000
χ352222-2-22-222-2222-2-2-2-222-200002000000002-2-220000-20020000000000-2200000000
χ362222-2-22-222-2222-2-2-2-222-20000200000000-222-20000-200200000000002-200000000
χ372-2-222-2222-2-22-2-22-22-22-20002i−2i00000000000002i−2i2i−2i0000002i−2i000000002-2000000
χ382-2-222-2222-2-22-2-22-22-22-20002i−2i0000000000000−2i2i−2i2i0000002i−2i00000000-22000000
χ392-2-222-2222-2-22-2-22-22-22-2000−2i2i00000000000002i−2i2i−2i000000−2i2i00000000-22000000
χ402-2-222-2222-2-22-2-22-22-22-2000−2i2i0000000000000−2i2i−2i2i000000−2i2i000000002-2000000
χ412-2-22-2222-22-22-2-2-222-2-2202i−2i0000000000000002i−2i−2i2i00002i−2i0000000000002-20000
χ422-2-22-2222-22-22-2-2-222-2-2202i−2i000000000000000−2i2i2i−2i00002i−2i000000000000-220000
χ432-2-22-2222-22-22-2-2-222-2-220−2i2i0000000000000002i−2i−2i2i0000−2i2i000000000000-220000
χ442-2-22-2222-22-22-2-2-222-2-220−2i2i000000000000000−2i2i2i−2i0000−2i2i0000000000002-20000
χ45444444-2-4-4-4-4-2-2-2-2-22222000000004i−4i000000000000000000000000−2i2i0000000000
χ46444444-2-4-4-4-4-2-2-2-2-2222200000000−4i4i0000000000000000000000002i−2i0000000000
χ474444-4-4-24-4-44-2-2-222-2-2220000004-400-2-22200000000000000000000000000000000
χ484444-4-4-24-4-44-2-2-222-2-222000000-440022-2-200000000000000000000000000000000
χ494444-4-4-2-444-4-2-2-22222-2-240000-40000000000000000-200200000000000000000000
χ504444-4-4-2-444-4-2-2-22222-2-2-4000040000000000000000200-200000000000000000000
χ514-4-444-44-4-4444-4-44-4-44-440000000000000000000000000000000000000000000000
χ524-4-444-4-244-4-4-222-22-22-220004i−4i00000000000000000000000−2i2i0000000000000000
χ534-4-444-4-244-4-4-222-22-22-22000−4i4i000000000000000000000002i−2i0000000000000000
χ544-4-444-4-2-4-444-222-222-22-200000000000000000000000000000023−2300000000000000
χ554-4-444-4-2-4-444-222-222-22-2000000000000000000000000000000−232300000000000000
χ564-4-44-444-44-444-4-4-44-444-40000000000000000000000000000000000000000000000
χ574-4-44-44-24-44-4-2222-2-222-204i−4i00000000000000000000000−2i2i000000000000000000
χ584-4-44-44-24-44-4-2222-2-222-20−4i4i000000000000000000000002i−2i000000000000000000
χ594-4-44-44-2-44-44-2222-22-2-220000000000000000000000000000000023−23000000000000
χ604-4-44-44-2-44-44-2222-22-2-2200000000000000000000000000000000−2323000000000000
χ6188-8-80080000-88-80000000000000000000000000000000000000000000000000000
χ6288-8-800-400004-4400000000000000000026−2600000000000000000000000000000000
χ6388-8-800-400004-44000000000000000000−262600000000000000000000000000000000
χ648-88-80080000-8-880000000000000000000000000000000000000000000000000000
χ658-88-800-4000044-4000000000000000026−260000000000000000000000000000000000
χ668-88-800-4000044-40000000000000000−26260000000000000000000000000000000000

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