Finite Group Databasebeta

← Group #4146

Character table — Group #4146

Order 160.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1122222224444445510101011222222244444455101010
order1244455101020202020202044222224441010101020202020202044222
χ11111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1
χ3111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1
χ4111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111
χ511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1
χ611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11
χ711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11
χ811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1
χ922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000
χ1022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000
χ11222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000
χ12222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000
χ1322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000
χ1422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000
χ1522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000
χ1622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000
χ172-200022-2-20000002i−2i0002-200022-2-20000002i−2i000
χ182-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i000
χ194-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+500000000000
χ204-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−500000000000
χ2111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ23111-1-1111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-111
χ24111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111111-1-1
χ2511-11-11111-1-111-1-111-11-1-1-11-11-1-1-1-111-1-111-1-11-11
χ2611-11-11111-1-111-1-1-1-11-11-1-11-11-1-1-1-111-1-11111-11-1
χ2711-1-111111-1-1-1-11111-1-11-1-111-1-1-1-1-11111-1-1-1-111-1
χ2811-1-111111-1-1-1-111-1-111-1-1-111-1-1-1-1-11111-1-111-1-11
χ2922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000-2-2-2-2-21−521+521−521+521−521+521−521+521−521+5200000
χ3022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000-2-2-2-2-21+521−521+521−521+521−521+521−521+521−5200000
χ31222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000-2-2-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000
χ32222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000-2-2-2221+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000
χ3322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000-2-22-221−521+521−521+52−1+52−1−521−521+52−1+52−1−5200000
χ3422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000-2-22-221+521−521+521−52−1−52−1+521+521−52−1−52−1+5200000
χ3522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000-2-222-21−521+521−521+52−1+52−1−52−1+52−1−521−521+5200000
χ3622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000-2-222-21+521−521+521−52−1−52−1+52−1−52−1+521+521−5200000
χ372-200022-2-20000002i−2i000-22000-2-222000000−2i2i000
χ382-200022-2-2000000−2i2i000-22000-2-2220000002i−2i000
χ394-4000−1+5−1−51−51+500000000000-440001−51+5−1+5−1−500000000000
χ404-4000−1−5−1+51+51−500000000000-440001+51−5−1−5−1+500000000000

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