Finite Group Databasebeta

← Group #81997

Character table — Group #81997

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size1111222222444444668888888888812121212121212121216161616242424
order122234466644881212444444812122424242422444448812121212248
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
χ5111111111111-1-1111111-1-1-111-1-1-1-111111-1-1-1-1-111-1-11-1
χ6111111111111-1-11111-1-111-111-1-1-1-1111-1-111-1-11-1-111-1-1
χ7111111111111-1-111-1-111-1-1-111-1-1-1-1-1-1-1-1-11111-111-11-11
χ8111111111111-1-111-1-1-1-111-111-1-1-1-1-1-1-111-1-1111-1-11-111
χ91111111111-1-11111111-11-1-1-1-111-1-11-1-1111111-11-11-1-1-1
χ101111111111-1-1111111-11-11-1-1-111-1-11-1-1-1-1-1-1111-11-111-1
χ111111111111-1-11111-1-11-11-1-1-1-111-1-1-111-1-1-1-1-1-1-11-11111
χ121111111111-1-11111-1-1-11-11-1-1-111-1-1-1111111-1-11-11-1-1-11
χ131111111111-1-1-1-111111-1-111-1-1-1-1111-1-111-1-1-1-111-1-11-11
χ141111111111-1-1-1-11111-111-11-1-1-1-1111-1-1-1-111-1-1-1-111-111
χ151111111111-1-1-1-111-1-11-1-111-1-1-1-111-111-1-1111111-1-1-11-1
χ161111111111-1-1-1-111-1-1-111-11-1-1-1-111-11111-1-111-1-1111-1-1
χ1722222-2-22222-200-2-22200000-220000-2-220000000000000
χ1822222-2-22222-200-2-2-2-200000-22000022-20000000000000
χ1922222-2-2222-2200-2-222000002-20000-22-20000000000000
χ2022222-2-2222-2200-2-2-2-2000002-200002-220000000000000
χ212222-122-1-1-12222-1-10022222-1-1-1-1-1-1000000000-1-1-1-1000
χ222222-122-1-1-12222-1-100-2-2-2-22-1-1-1-1-1-10000000001111000
χ232222-122-1-1-122-2-2-1-10022-2-2-2-1-111110000000001-1-11000
χ242222-122-1-1-122-2-2-1-100-2-222-2-1-11111000000000-111-1000
χ252222-122-1-1-1-2-222-1-1002-22-2-211-1-1110000000001-11-1000
χ262222-122-1-1-1-2-222-1-100-22-22-211-1-111000000000-11-11000
χ272222-122-1-1-1-2-2-2-2-1-1002-2-2221111-1-1000000000-1-111000
χ282222-122-1-1-1-2-2-2-2-1-100-222-221111-1-100000000011-1-1000
χ292-22-22-222-2-2002-22-20000000002-2000002i−2i2i−2i000000000
χ302-22-22-222-2-2002-22-20000000002-200000−2i2i−2i2i000000000
χ312-22-22-222-2-200-222-2000000000-22000002i−2i−2i2i000000000
χ322-22-22-222-2-200-222-2000000000-2200000−2i2i2i−2i000000000
χ334444-2-4-4-2-2-24-4002200000002-200000000000000000000
χ344444-2-4-4-2-2-2-4400220000000-2200000000000000000000
χ3544-4-4400-4-440000004i−4i000000000000000000000000000
χ3644-4-4400-4-44000000−4i4i000000000000000000000000000
χ374-44-444-44-4-40000-4400000000000000000000000000000
χ384-44-4-24-4-22200002-200000000000−2i32i30000000000000000
χ394-44-4-24-4-22200002-2000000000002i3−2i30000000000000000
χ404-44-4-2-44-222004-4-22000000000-22000000000000000000
χ414-44-4-2-44-22200-44-220000000002-2000000000000000000
χ424-4-44400-44-400000000000000000000000000−2i22i20000000
χ434-4-44400-44-4000000000000000000000000002i2−2i20000000
χ4488-8-8-40044-400000000000000000000000000000000000
χ458-8-88-4004-4400000000000000000000000000000000000

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