Finite Group Databasebeta

← Group #85421

Character table — Group #85421

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size111122446688881212121212121212121616161616162424242424
order1222444444366644444888812121212121222488
χ11111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-1111111-1-1-1-1-1
χ3111111-1-11111111-1-1111111-1-111-1-11-1-1-1-1
χ4111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-11111
χ51111-1-11-1111111-1-111111-1-111-1-1-1-1-11-11-1
χ61111-1-11-1111111-1-11-1-1-1-11111-1-1-1-11-11-11
χ71111-1-1-11111111-11-11111-1-1-1-1-1-111-1-11-11
χ81111-1-1-11111111-11-1-1-1-1-111-1-1-1-11111-11-1
χ92222222222-1-1-1-1222000000-1-1-1-1-1-100000
χ10222222-2-222-1-1-1-12-2-200000011-1-11100000
χ112222-2-22-222-1-1-1-1-2-22000000-1-1111100000
χ122222-2-2-2222-1-1-1-1-22-20000001111-1-100000
χ132-22-20000-2222-2-20002i−2i2i−2i0000000000000
χ142-22-20000-2222-2-2000−2i2i−2i2i0000000000000
χ1533333333-1-10000-1-1-111-1-1-1-1000000111-1-1
χ1633333333-1-10000-1-1-1-1-11111000000-1-1-111
χ17333333-3-3-1-10000-11111-1-1-1-10000001-1-111
χ18333333-3-3-1-10000-111-1-11111000000-111-1-1
χ193333-3-33-3-1-1000011-111-1-111000000-11-1-11
χ203333-3-33-3-1-1000011-1-1-111-1-10000001-111-1
χ213333-3-3-33-1-100001-1111-1-111000000-1-111-1
χ223333-3-3-33-1-100001-11-1-111-1-100000011-1-11
χ2344-4-44i−4i00001-11-1000000000−i3i3i−i3−300000
χ2444-4-44i−4i00001-11-1000000000i3−i3i−i−3300000
χ2544-4-44i−4i0000-22-2200000000000−2i2i0000000
χ2644-4-4−4i4i00001-11-1000000000−i3i3−ii−3300000
χ2744-4-4−4i4i00001-11-1000000000i3−i3−ii3−300000
χ2844-4-4−4i4i0000-22-22000000000002i−2i0000000
χ294-44-40000-44-2-22200000000000000000000
χ304-4-44000000-222-20000000−2i22i200000000000
χ314-4-44000000-222-200000002i2−2i200000000000
χ326-66-600002-200000002i−2i−2i2i0000000000000
χ336-66-600002-20000000−2i2i2i−2i0000000000000
χ348-8-880000002-2-2200000000000000000000

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