Finite Group Databasebeta

← Group #83646

Character table — Group #83646

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222224444444444444444466668888888888881212121212121212242424
order12223444444446662244412121212121212121212121288882446666121212121244888888444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111111-1-1-1-11111-1-1-111-1-11-1-1-1-1-1-1111111-1-1-1
χ41111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1111
χ51111111-1-1-1-1111111-1-1111111-1-1-1-111111111-11-11-1-1-1-111-1-111-1-111-1-1-11-1
χ61111111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-111-1-1-1-111-1-1111-11
χ71111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-111-1-1-111-1-1-1-111-1-11-11
χ81111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-111-1-1-1111111-1-111-11-1
χ911111-1-111-1-111111-11-11111-1-111-1-111111111-1-11-11-1-1-1-1-11111-1-1-1-111-1-11
χ1011111-1-111-1-111111-11-11111-1-111-1-11111-1-1-1-1-1-11-11-1-1-1-1-111-1-11111-1-111-1
χ1111111-1-111-1-111111-11-1-1-111-1-111-1-1-1-1-1-1111111-1-1111-111-1-1-1-1-1-1-1-11111-1
χ1211111-1-111-1-111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1111111-1-1-1-11
χ1311111-1-1-1-11111111-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-11111-1-1-1-11-1-1
χ1411111-1-1-1-11111111-1-111111-1-1-1-1111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-111
χ1511111-1-1-1-11111111-1-11-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-111111-1-111-1-1-1-1-111
χ1611111-1-1-1-11111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111111-1-1
χ1722222222222-2-2222-2-2-200-2-222222200000000000-2-200-2000000000000000
χ182222222-2-2-2-2-2-2222-22200-2-222-2-2-2-200000000000-22002000000000000000
χ1922222-2-222-2-2-2-22222-2200-2-2-2-222-2-2000000000002-2002000000000000000
χ2022222-2-2-2-222-2-222222-200-2-2-2-2-2-222000000000002200-2000000000000000
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
χ222222-122222222-1-1-1222-2-2-1-1-1-1-1-1-1-111110000-2-2-2-1-111-1111100000000000
χ232222-1222222-2-2-1-1-1-2-2-20011-1-1-1-1-1-1−i3−i3i3i3000000011−i3i31−i3i3−i3i300000000000
χ242222-1222222-2-2-1-1-1-2-2-20011-1-1-1-1-1-1i3i3−i3−i3000000011i3−i31i3−i3i3−i300000000000
χ252222-122-2-2-2-222-1-1-12-2-222-1-1-1-11111-1-1-1-10000-22-2-11111-1-11100000000000
χ262222-122-2-2-2-222-1-1-12-2-2-2-2-1-1-1-11111111100002-22-11-1-1111-1-100000000000
χ272222-122-2-2-2-2-2-2-1-1-1-2220011-1-11111−i3−i3i3i300000001-1i3−i3-1−i3i3i3−i300000000000
χ282222-122-2-2-2-2-2-2-1-1-1-2220011-1-11111i3i3−i3−i300000001-1−i3i3-1i3−i3−i3i300000000000
χ292222-1-2-222-2-222-1-1-1-22-222-1-111-1-111-1-1-1-10000-2-221-111111-1-100000000000
χ302222-1-2-222-2-222-1-1-1-22-2-2-2-1-111-1-1111111000022-21-1-1-11-1-11100000000000
χ312222-1-2-222-2-2-2-2-1-1-12-22001111-1-111−i3−i3i3i30000000-11i3−i3-1i3−i3−i3i300000000000
χ322222-1-2-222-2-2-2-2-1-1-12-22001111-1-111i3i3−i3−i30000000-11−i3i3-1−i3i3i3−i300000000000
χ332222-1-2-2-2-22222-1-1-1-2-2222-1-11111-1-1-1-1-1-100002-2-211-1-1-1111100000000000
χ342222-1-2-2-2-22222-1-1-1-2-22-2-2-1-11111-1-111110000-2221111-1-1-1-1-100000000000
χ352222-1-2-2-2-222-2-2-1-1-122-200111111-1-1−i3−i3i3i30000000-1-1−i3i31i3−i3i3−i300000000000
χ362222-1-2-2-2-222-2-2-1-1-122-200111111-1-1i3i3−i3−i30000000-1-1i3−i31−i3i3−i3i300000000000
χ3722-2-22000000-222-2-20002i−2i2-20000002i−2i2i−2i22-2-20000000000002i−2i000000000
χ3822-2-22000000-222-2-20002i−2i2-20000002i−2i2i−2i-2-222000000000000−2i2i000000000
χ3922-2-22000000-222-2-2000−2i2i2-2000000−2i2i−2i2i22-2-2000000000000−2i2i000000000
χ4022-2-22000000-222-2-2000−2i2i2-2000000−2i2i−2i2i-2-2220000000000002i−2i000000000
χ412-2-2222i−2i2i−2i2-200-22-200000002i−2i2i−2i2-20000−i2i2−i2i200000000000000−i2i22−22−2000
χ422-2-2222i−2i2i−2i2-200-22-200000002i−2i2i−2i2-20000i2−i2i2−i200000000000000i2−i2−22−22000
χ432-2-2222i−2i−2i2i-2200-22-200000002i−2i−2i2i-220000−i2i2−i2i200000000000000i2−i22−2−22000
χ442-2-2222i−2i−2i2i-2200-22-200000002i−2i−2i2i-220000i2−i2i2−i200000000000000−i2i2−222−2000
χ452-2-222−2i2i2i−2i-2200-22-20000000−2i2i2i−2i-220000−i2i2−i2i200000000000000i2−i2−222−2000
χ462-2-222−2i2i2i−2i-2200-22-20000000−2i2i2i−2i-220000i2−i2i2−i200000000000000−i2i22−2−22000
χ472-2-222−2i2i−2i2i2-200-22-20000000−2i2i−2i2i2-20000−i2i2−i2i200000000000000−i2i2−22−22000
χ482-2-222−2i2i−2i2i2-200-22-20000000−2i2i−2i2i2-20000i2−i2i2−i200000000000000i2−i22−22−2000
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
χ544-44-4400000000-4-4400000000000000000−2i22i22i2−2i200000000000000000000000
χ554-44-4400000000-4-44000000000000000002i2−2i2−2i22i200000000000000000000000
χ564-4-44-24i−4i4i−4i4-4002-220000000−2i2i−2i2i-220000000000000000000000000000000
χ574-4-44-24i−4i−4i4i-44002-220000000−2i2i2i−2i2-20000000000000000000000000000000
χ584-4-44-2−4i4i4i−4i-44002-2200000002i−2i−2i2i2-20000000000000000000000000000000
χ594-4-44-2−4i4i−4i4i4-4002-2200000002i−2i2i−2i-220000000000000000000000000000000
χ608-88-8-40000000044-400000000000000000000000000000000000000000000

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