Finite Group Databasebeta

← Group #85508

Character table — Group #85508

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size1111223333446688881212121212121212121216161616161624242424
order12224422224444366644444444441212121212122244
χ111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ31111111111-1-11111111111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-111111-1-1-1111111-1-11-111-1-1-1-111-1-11-11-1
χ61111-1-111111-1-1-11111-1-1111-1-1-111-1-111-1-1-11-11
χ71111-1-11111-11-1-1111111-1-1-1111-1-1-1-1-1-111-11-11
χ81111-1-11111-11-1-11111-1-111-11-1-111-1-1-1-1111-11-1
χ922222222222222-1-1-1-10000220000-1-1-1-1-1-10000
χ102222222222-2-222-1-1-1-10000-2-20000-1-111110000
χ112222-2-222222-2-2-2-1-1-1-100002-2000011-1-1110000
χ122222-2-22222-22-2-2-1-1-1-10000-2200001111-1-10000
χ1322-2-200-22-22000022-2-2002i−2i00002i−2i0000000000
χ1422-2-200-22-22000022-2-200−2i2i0000−2i2i0000000000
χ152-22-200-2-22200002-22-22i−2i00002i−2i000000000000
χ162-22-200-2-22200002-22-2−2i2i0000−2i2i000000000000
χ172-2-222-22-2-22002-22-2-2200000000002-200000000
χ182-2-222-22-2-22002-2-111-10000000000-11−i3i3−i3i30000
χ192-2-222-22-2-22002-2-111-10000000000-11i3−i3i3−i30000
χ202-2-22-222-2-2200-222-2-220000000000-2200000000
χ212-2-22-222-2-2200-22-111-100000000001-1−i3i3i3−i30000
χ222-2-22-222-2-2200-22-111-100000000001-1i3−i3−i3i30000
χ23333333-1-1-1-133-1-100001111-1-1-1-1-1-100000011-1-1
χ24333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111
χ25333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111
χ26333333-1-1-1-1-3-3-1-10000-1-1-1-111111100000011-1-1
χ273333-3-3-1-1-1-13-311000011-1-1-11-1-1110000001-1-11
χ283333-3-3-1-1-1-13-3110000-1-111-1111-1-1000000-111-1
χ293333-3-3-1-1-1-1-3311000011-1-11-1-1-111000000-111-1
χ303333-3-3-1-1-1-1-33110000-1-1111-111-1-10000001-1-11
χ3144-4-400-44-440000-2-22200000000000000000000
χ324-44-400-4-4440000-22-2200000000000000000000
χ3366-6-6002-22-200000000002i−2i0000−2i2i0000000000
χ3466-6-6002-22-20000000000−2i2i00002i−2i0000000000
χ356-66-60022-2-2000000002i−2i0000−2i2i000000000000
χ366-66-60022-2-200000000−2i2i00002i−2i000000000000
χ376-6-666-6-222-200-22000000000000000000000000
χ386-6-66-66-222-2002-2000000000000000000000000

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