Finite Group Databasebeta

← Group #85487

Character table — Group #85487

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size1123346881212121212161616242411233468812121212121616162424
order1242224362888866124422422246628888661244
χ111111111111111111111111111111111111111
χ21111111111-1-1-1-1111-1-11111111111-1-1-1-1111-1-1
χ311111-1111-11111-1-11-1-111111-1111-11111-1-11-1-1
χ411111-1111-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-1-1111
χ52222222-1-120000-1-1-1002222222-1-120000-1-1-100
χ622222-22-1-1-2000011-10022222-22-1-1-2000011-100
χ722-2220-2220000000-20022-2220-2220000000-200
χ822-2220-2-1-100000−i3i310022-2220-2-1-100000−i3i3100
χ922-2220-2-1-100000i3−i310022-2220-2-1-100000i3−i3100
χ102-202-2002-20−i2i2−i2i2000002-202-2002-20−i2i2−i2i200000
χ112-202-2002-20i2−i2i2−i2000002-202-2002-20i2−i2i2−i200000
χ12333-1-13-100-111-1-10001-1333-1-13-100-111-1-10001-1
χ13333-1-13-100-1-1-111000-11333-1-13-100-1-1-111000-11
χ14333-1-1-3-100111-1-1000-11333-1-1-3-100111-1-1000-11
χ15333-1-1-3-1001-1-1110001-1333-1-1-3-1001-1-1110001-1
χ164-404-400-2200000000004-404-400-220000000000
χ1766-6-2-20200000000000066-6-2-202000000000000
χ186-60-2200000−i2i2i2−i2000006-60-2200000−i2i2i2−i200000
χ196-60-2200000i2−i2−i2i2000006-60-2200000i2−i2−i2i200000
χ201111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ2211111-1111-11111-1-11-1-1-1-1-1-1-11-1-1-11-1-1-1-111-111
χ2311111-1111-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-11111111-1-1-1
χ242222222-1-120000-1-1-100-2-2-2-2-2-2-211-2000011100
χ2522222-22-1-1-2000011-100-2-2-2-2-22-21120000-1-1100
χ2622-2220-2220000000-200-2-22-2-202-2-20000000200
χ2722-2220-2-1-100000−i3i3100-2-22-2-2021100000i3−i3-100
χ2822-2220-2-1-100000i3−i3100-2-22-2-2021100000−i3i3-100
χ292-202-2002-20−i2i2−i2i200000-220-2200-220i2−i2i2−i200000
χ302-202-2002-20i2−i2i2−i200000-220-2200-220−i2i2−i2i200000
χ31333-1-13-100-111-1-10001-1-3-3-311-31001-1-111000-11
χ32333-1-13-100-1-1-111000-11-3-3-311-3100111-1-10001-1
χ33333-1-1-3-100111-1-1000-11-3-3-3113100-1-1-1110001-1
χ34333-1-1-3-1001-1-1110001-1-3-3-3113100-111-1-1000-11
χ354-404-400-220000000000-440-44002-20000000000
χ3666-6-2-202000000000000-6-66220-2000000000000
χ376-60-2200000−i2i2i2−i200000-6602-200000i2−i2−i2i200000
χ386-60-2200000i2−i2−i2i200000-6602-200000−i2i2i2−i200000

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