Finite Group Databasebeta

← Group #4148

Character table — Group #4148

Order 160.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222222244444422224444445555101010101010
order1244222444510202010101020202051020201010102020202244222444
χ11111111111111111111111111111111111111111
χ211111-1-11-1-111111-1-11-1-111111-1-11-1-111111-1-11-1-1
χ31111-11-1-11-11111-11-1-11-11111-11-1-11-11111-11-1-11-1
χ41111-1-11-1-111111-1-11-1-111111-1-11-1-111111-1-11-1-11
χ511-1-111-1-1-1111-1-111-1-1-1111-1-111-1-1-1111-1-111-1-1-11
χ611-1-11-11-11-111-1-11-11-11-111-1-11-11-11-111-1-11-11-11-1
χ711-1-1-1111-1-111-1-1-1111-1-111-1-1-1111-1-111-1-1-1111-1-1
χ811-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111
χ92-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i000000
χ102-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i000000
χ11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ1211111-1-11-1-111111-1-11-1-111111-1-11-1-1-1-1-1-1-111-111
χ131111-11-1-11-11111-11-1-11-11111-11-1-11-1-1-1-1-11-111-11
χ141111-1-11-1-111111-1-11-1-111111-1-11-1-11-1-1-1-111-111-1
χ1511-1-111-1-1-1111-1-111-1-1-1111-1-111-1-1-11-1-111-1-1111-1
χ1611-1-11-11-11-111-1-11-11-11-111-1-11-11-11-1-1-111-11-11-11
χ1711-1-1-1111-1-111-1-1-1111-1-111-1-1-1111-1-1-1-1111-1-1-111
χ1811-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111-1-111111-1-1-1
χ192-22i−2i0000002-22i−2i0000002-22i−2i000000-22−2i2i000000
χ202-2−2i2i0000002-2−2i2i0000002-2−2i2i000000-222i−2i000000
χ212222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000
χ2222222-2-22-2-2−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+520000000000
χ232222-22-2-22-2−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+520000000000
χ242222-2-22-2-22−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−520000000000
χ2522-2-222-2-2-22−1+52−1+521−521−52−1+52−1+521−521−521−52−1+52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−520000000000
χ2622-2-22-22-22-2−1+52−1+521−521−52−1+521−52−1+521−52−1+521−52−1−52−1−521+521+52−1−521+52−1−521+52−1−521+520000000000
χ2722-2-2-2222-2-2−1+52−1+521−521−521−52−1+52−1+52−1+521−521−52−1−52−1−521+521+521+52−1−52−1−52−1−521+521+520000000000
χ2822-2-2-2-2-2222−1+52−1+521−521−521−521−521−52−1+52−1+52−1+52−1−52−1−521+521+521+521+521+52−1−52−1−52−1−520000000000
χ294-44i−4i000000−1+51−5−2ζ11−2ζ192ζ11+2ζ19000000−1−51+5−2ζ3−2ζ72ζ3+2ζ70000000000000000
χ304-4−4i4i000000−1+51−52ζ11+2ζ19−2ζ11−2ζ19000000−1−51+52ζ3+2ζ7−2ζ3−2ζ70000000000000000
χ312222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000000
χ3222222-2-22-2-2−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−520000000000
χ332222-22-2-22-2−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−520000000000
χ342222-2-22-2-22−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+520000000000
χ3522-2-222-2-2-22−1−52−1−521+521+52−1−52−1−521+521+521+52−1−52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+520000000000
χ3622-2-22-22-22-2−1−52−1−521+521+52−1−521+52−1−521+52−1−521+52−1+52−1+521−521−52−1+521−52−1+521−52−1+521−520000000000
χ3722-2-2-2222-2-2−1−52−1−521+521+521+52−1−52−1−52−1−521+521+52−1+52−1+521−521−521−52−1+52−1+52−1+521−521−520000000000
χ3822-2-2-2-2-2222−1−52−1−521+521+521+521+521+52−1−52−1−52−1−52−1+52−1+521−521−521−521−521−52−1+52−1+52−1+520000000000
χ394-44i−4i000000−1−51+5−2ζ3−2ζ72ζ3+2ζ7000000−1+51−5−2ζ11−2ζ192ζ11+2ζ190000000000000000
χ404-4−4i4i000000−1−51+52ζ3+2ζ7−2ζ3−2ζ7000000−1+51−52ζ11+2ζ19−2ζ11−2ζ190000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.