Finite Group Databasebeta

← Group #83713

Character table — Group #83713

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222224444444444444444466668888888888881212121212121212242424
order12223444444446664444412121212121212121212121288882246666121212121222888888444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-1111111-1-1-1
χ41111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1111
χ51111111-1-1-1-111111-1-11111111-1-1-1-111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1
χ61111111-1-1-1-111111-1-11111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1111-1-1-1-11111-111
χ71111111-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-11111-1-1-1-11-1-111-1-1-1-1-111
χ81111111-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111-1-111111-1-1
χ911111-1-111-1-1111111-1-11111-1-111-1-1111111111-1-111-1-11-1-1-1-111-1-111-1-1-11-1
χ1011111-1-111-1-1111111-1-11111-1-111-1-11111-1-1-1-11-1-111-1-11-1-1-1-1-1-111-1-1111-11
χ1111111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-1111-111-1-1-1-1-111-1-11-11
χ1211111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-11111-1-111-11-1
χ1311111-1-1-1-11111111-11-11111-1-1-1-11111111111-11-1-1-111-11-1-1-111-1-1-1-111-1-11
χ1411111-1-1-1-11111111-11-11111-1-1-1-1111111-1-1-1-1-11-1-1-111-11-1-1-1-1-11111-1-111-1
χ1511111-1-1-1-11111111-11-1-1-111-1-1-1-111-1-1-1-111111-1111-1-1-1111-1-1-1-1-1-1-11111-1
χ1611111-1-1-1-11111111-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1111-1-1-1111-1111111-1-1-1-11
χ1722222222222-2-2222-2-2-200-2-2222222000000000000000-2-200-200000000000
χ182222222-2-2-2-2-2-222222-200-2-222-2-2-2-20000000000000002200-200000000000
χ1922222-2-222-2-2-2-2222-22200-2-2-2-222-2-2000000000000000-2200200000000000
χ2022222-2-2-2-222-2-22222-2200-2-2-2-2-2-2220000000000000002-200200000000000
χ212222-122222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-10000222-1-1-1-1-1-1-1-1-100000000000
χ222222-122222222-1-1-1222-2-2-1-1-1-1-1-1-1-111110000-2-2-21111-1-111-100000000000
χ232222-1222222-2-2-1-1-1-2-2-20011-1-1-1-1-1-1−i3−i3i3i30000000−i3i3−i3i311−i3i3100000000000
χ242222-1222222-2-2-1-1-1-2-2-20011-1-1-1-1-1-1i3i3−i3−i30000000i3−i3i3−i311i3−i3100000000000
χ252222-122-2-2-2-222-1-1-1-2-2222-1-1-1-11111-1-1-1-10000-2-22111111-1-1-100000000000
χ262222-122-2-2-2-222-1-1-1-2-22-2-2-1-1-1-111111111000022-2-1-1-1-11111-100000000000
χ272222-122-2-2-2-2-2-2-1-1-122-20011-1-11111−i3−i3i3i30000000i3−i3i3−i3-1-1−i3i3100000000000
χ282222-122-2-2-2-2-2-2-1-1-122-20011-1-11111i3i3−i3−i30000000−i3i3−i3i3-1-1i3−i3100000000000
χ292222-1-2-222-2-222-1-1-12-2-222-1-111-1-111-1-1-1-100002-2-2-1-111-1111100000000000
χ302222-1-2-222-2-222-1-1-12-2-2-2-2-1-111-1-11111110000-22211-1-1-11-1-1100000000000
χ312222-1-2-222-2-2-2-2-1-1-1-222001111-1-111−i3−i3i3i30000000−i3i3i3−i31-1i3−i3-100000000000
χ322222-1-2-222-2-2-2-2-1-1-1-222001111-1-111i3i3−i3−i30000000i3−i3−i3i31-1−i3i3-100000000000
χ332222-1-2-2-2-22222-1-1-1-22-222-1-11111-1-1-1-1-1-10000-22-211-1-11-111100000000000
χ342222-1-2-2-2-22222-1-1-1-22-2-2-2-1-11111-1-1111100002-22-1-1111-1-1-1100000000000
χ352222-1-2-2-2-222-2-2-1-1-12-2200111111-1-1−i3−i3i3i30000000i3−i3−i3i3-11i3−i3-100000000000
χ362222-1-2-2-2-222-2-2-1-1-12-2200111111-1-1i3i3−i3−i30000000−i3i3i3−i3-11−i3i3-100000000000
χ3722-2-22000000-222-2-20002i−2i2-20000002i−2i2i−2i2i2i−2i−2i0000000000002-2000000000
χ3822-2-22000000-222-2-20002i−2i2-20000002i−2i2i−2i−2i−2i2i2i000000000000-22000000000
χ3922-2-22000000-222-2-2000−2i2i2-2000000−2i2i−2i2i2i2i−2i−2i000000000000-22000000000
χ4022-2-22000000-222-2-2000−2i2i2-2000000−2i2i−2i2i−2i−2i2i2i0000000000002-2000000000
χ412-22-222-22i−2i2i−2i00-22-200000002-22i−2i2i−2i0000−i2i2−i2i200000000000000−i2i22−22−2000
χ422-22-222-22i−2i2i−2i00-22-200000002-22i−2i2i−2i0000i2−i2i2−i200000000000000i2−i2−22−22000
χ432-22-222-2−2i2i−2i2i00-22-200000002-2−2i2i−2i2i0000−i2i2−i2i200000000000000−i2i2−22−22000
χ442-22-222-2−2i2i−2i2i00-22-200000002-2−2i2i−2i2i0000i2−i2i2−i200000000000000i2−i22−22−2000
χ452-22-22-222i−2i−2i2i00-22-20000000-222i−2i−2i2i0000−i2i2−i2i200000000000000i2−i22−2−22000
χ462-22-22-222i−2i−2i2i00-22-20000000-222i−2i−2i2i0000i2−i2i2−i200000000000000−i2i2−222−2000
χ472-22-22-22−2i2i2i−2i00-22-20000000-22−2i2i2i−2i0000−i2i2−i2i200000000000000i2−i2−222−2000
χ482-22-22-22−2i2i2i−2i00-22-20000000-22−2i2i2i−2i0000i2−i2i2−i200000000000000−i2i22−2−22000
χ4944-4-440000004-44-4-400000-440000000000000000000000000000000000000
χ5044-4-4-20000004-4-222000002-200000023−23−2323000000000000000000000000000
χ5144-4-4-20000004-4-222000002-2000000−232323−23000000000000000000000000000
χ5244-4-4-2000000-44-2220004i−4i-22000000−2i2i−2i2i000000000000000000000000000
χ5344-4-4-2000000-44-222000−4i4i-220000002i−2i2i−2i000000000000000000000000000
χ544-44-4-24-44i−4i4i−4i002-220000000-22−2i2i−2i2i0000000000000000000000000000000
χ554-44-4-24-4−4i4i−4i4i002-220000000-222i−2i2i−2i0000000000000000000000000000000
χ564-44-4-2-444i−4i−4i4i002-2200000002-2−2i2i2i−2i0000000000000000000000000000000
χ574-44-4-2-44−4i4i4i−4i002-2200000002-22i−2i−2i2i0000000000000000000000000000000
χ584-4-44400000000-4-440000000000000000022−22−222200000000000000000000000
χ594-4-44400000000-4-4400000000000000000−222222−2200000000000000000000000
χ608-8-88-40000000044-400000000000000000000000000000000000000000000

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