Finite Group Databasebeta

← Group #10848669

Character table — Group #10848669

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order1222223444466666121212122444444488121212124444444446812121212121212242424242244448848
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-11-1-11111111111111111-11-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-111-1-11111-1-1-1-111
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-11111111111-1-1
χ911111111111111111111-111-1-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1111-1
χ1011111111111111111111-111-1-1-111-1-11111-1-1-1-11111-1-1111-1-1-1-1-1-1-111-1-11111-1-1-11
χ1111111111111111111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-11111-1-111-1-111-1-1-11
χ1211111111111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-1-11111-1-1-1-111-1-1111-1
χ1311111111111111111111-1-1-1-11111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-111-11
χ1411111111111111111111-1-1-1-11111-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1511111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-11111-1-11111-1-11-1
χ1611111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1111111-1-1-1-111-11
χ172222222-2-2-2-222222-2-2-2-200002-200000000000022-2-20000002-20000002-200000000
χ182222222-2-2-2-222222-2-2-2-200002-2000000000000-2-2220000002-2000000-2200000000
χ192222222-2-2-2-222222-2-2-2-20000-2200000000000022-2-2000000-22000000-2200000000
χ202222222-2-2-2-222222-2-2-2-20000-22000000000000-2-222000000-220000002-200000000
χ21222222-12222-1-1-1-1-1-1-1-1-12222222222-1-1-1-1000000002-12-1-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-1-1-1-1-1222222-2-2-2-2111100000000-2-1-2-1-1-1-1-11111110000000000
χ23222222-12222-1-1-1-1-1-1-1-1-12-2-22-2-22222-1-1-1-100000000-2-1-211-11111-1-1110000000000
χ24222222-12222-1-1-1-1-1-1-1-1-12-2-22-2-2-2-2-2-21111000000002-1211-111-1-111-1-10000000000
χ25222222-12222-1-1-1-1-1-1-1-1-1-222-2-2-222-2-2-1-1-1-100000000-212-1-11111111-1-10000000000
χ26222222-12222-1-1-1-1-1-1-1-1-1-222-2-2-2-2-22211110000000021-2-1-1111-1-1-1-1110000000000
χ27222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-1-1-10000000021-2111-1-1-1-111110000000000
χ28222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222111100000000-212111-1-111-1-1-1-10000000000
χ292222-2-222-2-22222-2-22-22-2200-2000000000022-2-22-22-202000-2000000000000000000
χ302222-2-222-2-22222-2-22-22-2200-20000000000-2-222-22-2202000-2000000000000000000
χ312222-2-222-2-22222-2-22-22-2-2002000000000022-2-2-22-220-20002000000000000000000
χ322222-2-222-2-22222-2-22-22-2-20020000000000-2-2222-22-20-20002000000000000000000
χ332222-2-22-222-2222-2-2-22-2202-20000000000000002-2-220002-2000000000002-2000000
χ342222-2-22-222-2222-2-2-22-2202-2000000000000000-222-20002-200000000000-22000000
χ352222-2-22-222-2222-2-2-22-220-220000000000000002-2-22000-2200000000000-22000000
χ362222-2-22-222-2222-2-2-22-220-22000000000000000-222-2000-22000000000002-2000000
χ372-2-222-2222-2-2-2-22-222-2-220000002-20022-2-22i−2i2i−2i0000000000000000000000002i−2i00
χ382-2-222-2222-2-2-2-22-222-2-220000002-20022-2-2−2i2i−2i2i000000000000000000000000−2i2i00
χ392-2-222-2222-2-2-2-22-222-2-22000000-2200-2-2222i−2i2i−2i000000000000000000000000−2i2i00
χ402-2-222-2222-2-2-2-22-222-2-22000000-2200-2-222−2i2i−2i2i0000000000000000000000002i−2i00
χ412-2-22-2222-22-2-2-222-222-2-2000000002i−2i00002i−2i−2i2i000000000000002i−2i0000002-20000
χ422-2-22-2222-22-2-2-222-222-2-2000000002i−2i0000−2i2i2i−2i000000000000002i−2i000000-220000
χ432-2-22-2222-22-2-2-222-222-2-200000000−2i2i00002i−2i−2i2i00000000000000−2i2i000000-220000
χ442-2-22-2222-22-2-2-222-222-2-200000000−2i2i0000−2i2i2i−2i00000000000000−2i2i0000002-20000
χ45444444-2-4-4-4-4-2-2-2-2-2222200004-40000000000000000000000-220000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-222220000-4400000000000000000000002-20000000000000000
χ474444-4-4-24-4-44-2-2-222-22-22400-40000000000000000000-20002000000000000000000
χ484444-4-4-24-4-44-2-2-222-22-22-400400000000000000000002000-2000000000000000000
χ494444-4-4-2-444-4-2-2-2222-22-204-40000000000000000000000-220000000000000000000
χ504444-4-4-2-444-4-2-2-2222-22-20-4400000000000000000000002-20000000000000000000
χ514-4-444-44-4-444-4-44-44-444-40000000000000000000000000000000000000000000000
χ524-4-444-4-244-4-422-22-2-222-20000004-400-2-22200000000000000000000000000000000
χ534-4-444-4-244-4-422-22-2-222-2000000-440022-2-200000000000000000000000000000000
χ544-4-444-4-2-4-44422-22-22-2-22000000000000000000000000000000−2i32i300000000000000
χ554-4-444-4-2-4-44422-22-22-2-220000000000000000000000000000002i3−2i300000000000000
χ564-4-44-444-44-44-4-444-4-4-4440000000000000000000000000000000000000000000000
χ574-4-44-44-24-44-422-2-22-2-222000000004i−4i0000000000000000000000−2i2i000000000000
χ584-4-44-44-24-44-422-2-22-2-22200000000−4i4i00000000000000000000002i−2i000000000000
χ594-4-44-44-2-44-4422-2-2222-2-20000000000000000000000000000000000−2i32i30000000000
χ604-4-44-44-2-44-4422-2-2222-2-200000000000000000000000000000000002i3−2i30000000000
χ6188-8-800800008-8-80000000000000000000000000000000000000000000000000000
χ6288-8-800-40000-4440000000000000000−2i32i3−2i32i300000000000000000000000000000000
χ6388-8-800-40000-44400000000000000002i3−2i32i3−2i300000000000000000000000000000000
χ648-88-80080000-88-80000000000000000000000000000000000000000000000000000
χ658-88-800-400004-440000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ668-88-800-400004-4400000000000000002i3−2i3−2i32i300000000000000000000000000000000

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