Finite Group Databasebeta

← Group #4144

Character table — Group #4144

Order 160.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size112222222222222224444444444441010101010101010
order1222222445510101010101010101010101010102020202022224444
χ11111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111-1-111-1-111111111-1-1-1-11111-1-1-1-11-11-11-11-1
χ6111-1-111-1-111111111-1-1-1-11111-1-1-1-1-11-11-11-11
χ7111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ8111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ911-11-11-11-111-1-1-1-11111-1-111-1-111-1-1111-1-1-1-11
χ1011-11-11-11-111-1-1-1-11111-1-111-1-111-1-1-1-1-11111-1
χ1111-11-1-11-1111-1-1-1-11111-1-1-1-111-1-11111-11-1-11-1
χ1211-11-1-11-1111-1-1-1-11111-1-1-1-111-1-111-1-11-111-11
χ1311-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1111-111-11-1-1
χ1411-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111-11-1-11-111
χ1511-1-11-111-111-1-1-1-111-1-111-1-11111-1-11-1-1-1-1111
χ1611-1-11-111-111-1-1-1-111-1-111-1-11111-1-1-11111-1-1-1
χ17222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ18222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ1922222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000
χ2022222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000
χ21222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ22222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ23222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ24222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ2522-22-22-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ2622-22-22-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ2722-22-2-22-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ2822-22-2-22-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ2922-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ3022-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ3122-2-22-222-2−1+52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ3222-2-22-222-2−1−52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ334-40000000440000-4-400000000000000000000
χ344-40000000−1+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ31−51+500000000000000000000
χ354-40000000−1+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ31−51+500000000000000000000
χ364-40000000−1−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ41+51−500000000000000000000
χ374-40000000−1−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ41+51−500000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).