Finite Group Databasebeta

← Group #80801

Character table — Group #80801

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1111222222444444668888888888812121212121212121216161616242424
order1222344666248812124424446812242424242444444886121212448
χ1111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11
χ31111111111111111-1-111111111111-1-1-1-1-1-1-1-1-11111-1-1-1
χ41111111111111111-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-111-1
χ5111111111111-1-111111-11-11-11-1-1-1-1111-1-111-1-111-1-11-1-1
χ6111111111111-1-11111-11-111-11-1-1-1-111111-1-1-1-1-1-111-11-1
χ7111111111111-1-111-1-11-11-11-11-1-1-1-1-1-1-111-1-11111-1-1-111
χ8111111111111-1-111-1-1-11-111-11-1-1-1-1-1-1-1-1-11111-1-1111-11
χ91111111111-1-111111111-1-1-1-1-111-1-1-1-111111111-11-1-1-1-1
χ101111111111-1-1111111-1-111-1-1-111-1-1-1-11-1-1-1-111-11-1111-1
χ111111111111-1-11111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11-1111
χ121111111111-1-11111-1-1-1-111-1-1-111-1-111-11111-1-1-11-11-1-11
χ131111111111-1-1-1-111111-1-11-11-1-1-111-1-11-1-111-1-11-1-11-111
χ141111111111-1-1-1-11111-111-1-11-1-1-111-1-1111-1-1-1-1-111-11-11
χ151111111111-1-1-1-111-1-11-1-11-11-1-1-11111-111-1-1111-1-111-1-1
χ161111111111-1-1-1-111-1-1-111-1-11-1-1-11111-1-1-11111-111-1-11-1
χ1722222-2-22222-200-2-222000020-200002-2-20000000000000
χ1822222-2-22222-200-2-2-2-2000020-20000-2220000000000000
χ1922222-2-2222-2200-2-2220000-2020000-22-20000000000000
χ2022222-2-2222-2200-2-2-2-20000-20200002-220000000000000
χ212222-122-1-1-12222-1-1002222-12-1-1-1-1-1000000000-1-1-1-1000
χ222222-122-1-1-12222-1-100-2-2-2-2-12-1-1-1-1-10000000001111000
χ232222-122-1-1-122-2-2-1-1002-22-2-1-2-11111000000000-1-111000
χ242222-122-1-1-122-2-2-1-100-22-22-1-2-1111100000000011-1-1000
χ252222-122-1-1-1-2-222-1-10022-2-21-21-1-111000000000-11-11000
χ262222-122-1-1-1-2-222-1-100-2-2221-21-1-1110000000001-11-1000
χ272222-122-1-1-1-2-2-2-2-1-1002-2-2212111-1-1000000000-111-1000
χ282222-122-1-1-1-2-2-2-2-1-100-222-212111-1-10000000001-1-11000
χ2922-2-22-22-22-2002-2-220000000002-2000002i−2i2i−2i000000000
χ3022-2-22-22-22-2002-2-220000000002-200000−2i2i−2i2i000000000
χ3122-2-22-22-22-200-22-22000000000-22000002i−2i−2i2i000000000
χ3222-2-22-22-22-200-22-22000000000-2200000−2i2i2i−2i000000000
χ334444-2-4-4-2-2-24-40022000000-20200000000000000000000
χ344444-2-4-4-2-2-2-44002200000020-200000000000000000000
χ3544-4-444-4-44-400004-400000000000000000000000000000
χ3644-4-4-24-42-220000-220000000000023−230000000000000000
χ3744-4-4-24-42-220000-2200000000000−23230000000000000000
χ3844-4-4-2-442-22004-42-2000000000-22000000000000000000
χ3944-4-4-2-442-2200-442-20000000002-2000000000000000000
χ404-44-44004-4-40000000000000000000000000022−220000000
χ414-44-44004-4-400000000000000000000000000−22220000000
χ424-4-44400-4-440000004-4000000000000000000000000000
χ434-4-44400-4-44000000-44000000000000000000000000000
χ448-88-8-400-44400000000000000000000000000000000000
χ458-8-88-40044-400000000000000000000000000000000000

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