Finite Group Databasebeta

← Group #10848675

Character table — Group #10848675

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order12222234444666661212121222244444881212121244444444466681212121212242424244444448848
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1111-1111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-111111111-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-111-11
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-11111-1-11-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-11-1-1-1-1-1111111-1-111-1-11-1
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-11-1-1-1-1-11111-1-111-1-111-11
χ911111111111111111111-1-11-1-111111111111111111-1-1-11-1-1-11-1-111-1-1-1-1-1-11111-1-1
χ1011111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-11111-1-1-1-111
χ1111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-111-1-1-1-1-1-1-1-111
χ1211111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-11111111111-1-1
χ1311111111111111111111-1-1-111-111-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-1111-1
χ1411111111111111111111-1-1-111-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-111-1-1-11
χ1511111111111111111111-1-1-111-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-111-11111-1-1-1-11111-1-1-11
χ1611111111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-11111-1-111-1-1-1-1111-1
χ172222222-2-2-2-222222-2-2-2-22-2000000000000000022-2-202-200000000000002-2000000
χ182222222-2-2-2-222222-2-2-2-22-20000000000000000-2-22202-20000000000000-22000000
χ192222222-2-2-2-222222-2-2-2-2-22000000000000000022-2-20-220000000000000-22000000
χ202222222-2-2-2-222222-2-2-2-2-220000000000000000-2-2220-2200000000000002-2000000
χ21222222-12222-1-1-1-1-1-1-1-1-12222222222-1-1-1-1000000002-1-1-12-1-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-1-1-1-1-1222222-2-2-2-2111100000000-2-1-1-1-2-1-1-11111110000000000
χ23222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2-1-1-1-1000000002-1-11-2111-1-111110000000000
χ24222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222111100000000-2-1-11211111-1-1-1-10000000000
χ25222222-12222-1-1-1-1-1-1-1-1-1-2-22-2-222222-1-1-1-100000000-211-1-211-111-1-1110000000000
χ26222222-12222-1-1-1-1-1-1-1-1-1-2-22-2-22-2-2-2-2111100000000211-1211-1-1-111-1-10000000000
χ27222222-12222-1-1-1-1-1-1-1-1-1-2-2-222-222-2-2-1-1-1-100000000-21112-1-111111-1-10000000000
χ28222222-12222-1-1-1-1-1-1-1-1-1-2-2-222-2-2-2221111000000002111-2-1-11-1-1-1-1110000000000
χ292222-2-222-2-22222-2-22-22-200200-20000000022-2-22-22-20002000-20000000000000000
χ302222-2-222-2-22222-2-22-22-200200-200000000-2-222-22-220002000-20000000000000000
χ312222-2-222-2-22222-2-22-22-200-20020000000022-2-2-22-22000-200020000000000000000
χ322222-2-222-2-22222-2-22-22-200-200200000000-2-2222-22-2000-200020000000000000000
χ332222-2-22-222-2222-2-2-22-220002-200000000000002-2-22000002-200000002-200000000
χ342222-2-22-222-2222-2-2-22-220002-20000000000000-222-2000002-20000000-2200000000
χ352222-2-22-222-2222-2-2-22-22000-2200000000000002-2-2200000-220000000-2200000000
χ362222-2-22-222-2222-2-2-22-22000-220000000000000-222-200000-2200000002-200000000
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
χ45444444-2-4-4-4-4-2-2-2-2-222224-4000000000000000000000-22000000000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-22222-440000000000000000000002-2000000000000000000000
χ474444-4-4-24-4-44-2-2-222-22-2200400-40000000000000000000-200020000000000000000
χ484444-4-4-24-4-44-2-2-222-22-2200-400400000000000000000002000-20000000000000000
χ494444-4-4-2-444-4-2-2-2222-22-20004-40000000000000000000000-2200000000000000000
χ504444-4-4-2-444-4-2-2-2222-22-2000-4400000000000000000000002-200000000000000000
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
χ6288-8-800-40000-444000000000000000023−2323−2300000000000000000000000000000000
χ6388-8-800-40000-4440000000000000000−2323−232300000000000000000000000000000000
χ648-88-80080000-88-80000000000000000000000000000000000000000000000000000
χ658-88-800-400004-44000000000000000023−23−232300000000000000000000000000000000
χ668-88-800-400004-440000000000000000−232323−2300000000000000000000000000000000

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