Finite Group Databasebeta

← Group #83607

Character table — Group #83607

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222224444444444444444466668888888888881212121212121212242424
order1222223444444666244446612121212121212121212888824466612121212121244888888244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111111111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1
χ41111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1111
χ51111111-1-1-1-111111-11-1111111-1-1-1-111111111-1-11-1-1-11-1-1-11111-1-111-1-1-1-11
χ61111111-1-1-1-111111-11-1111111-1-1-1-11111-1-1-1-1-1-11-1-1-11-1-1-111-1-111-1-11111-1
χ71111111-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-111-1-1-1-1-1-111-1-111-1
χ81111111-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-11111-1-111-1-11
χ91111-1-1111-1-1111111-1-111-1-11111-1-111111111-11-11-1-1-1-111-1-111-1-1-1-111-11-1
χ101111-1-1111-1-1111111-1-111-1-11111-1-11111-1-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-11-11
χ111111-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111-11111-1-1-1-111-1-1-1-1-1-1111-11
χ121111-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111111111-1-1-11-1
χ131111-1-11-1-11111111-1-1111-1-111-1-111111111111-1-1-111-11-1-1-1-11111-1-1-1-11-1-1
χ141111-1-11-1-11111111-1-1111-1-111-1-1111111-1-1-1-11-1-1-111-11-1-1-1-1-1-1-1-11111-111
χ151111-1-11-1-11111111-1-11-1-1-1-111-1-111-1-1-1-11111-111-1-1-1-111111-1-111-1-1-1-1-111
χ161111-1-11-1-11111111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111111-1-1
χ1722222222222-2-2222-2-2-20022-2-2222200000000000-200-2-2000000000000000
χ182222222-2-2-2-2-2-22222-220022-2-2-2-2-2-200000000000200-22000000000000000
χ19222222-1222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-10000222-1-1-1-1-1-1-1-1-100000000000
χ20222222-1222222-1-1-1222-2-2-1-1-1-1-1-1-1-111110000-2-2-2-111-1-1111100000000000
χ21222222-12222-2-2-1-1-1-2-2-200-1-111-1-1-1-1−i3−i3i3i300000001−i3i311−i3i3−i3i300000000000
χ22222222-12222-2-2-1-1-1-2-2-200-1-111-1-1-1-1i3i3−i3−i300000001i3−i311i3−i3i3−i300000000000
χ23222222-1-2-2-2-222-1-1-1-22-222-1-1-1-11111-1-1-1-10000-2-22111-1111-1-100000000000
χ24222222-1-2-2-2-222-1-1-1-22-2-2-2-1-1-1-111111111000022-21-1-1-11-1-11100000000000
χ25222222-1-2-2-2-2-2-2-1-1-12-2200-1-1111111−i3−i3i3i30000000-1i3−i31-1i3−i3−i3i300000000000
χ26222222-1-2-2-2-2-2-2-1-1-12-2200-1-1111111i3i3−i3−i30000000-1−i3i31-1−i3i3i3−i300000000000
χ272222-2-2222-2-2-2-2222-22200-2-2-2-222-2-200000000000-20022000000000000000
χ282222-2-22-2-222-2-222222-200-2-2-2-2-2-222000000000002002-2000000000000000
χ292222-2-2-122-2-222-1-1-12-2-22211-1-1-1-111-1-1-1-10000-22-2-11111-1-11100000000000
χ302222-2-2-122-2-222-1-1-12-2-2-2-211-1-1-1-111111100002-22-1-1-11111-1-100000000000
χ312222-2-2-122-2-2-2-2-1-1-1-222001111-1-111−i3−i3i3i300000001i3−i3-1-1−i3i3i3−i300000000000
χ322222-2-2-122-2-2-2-2-1-1-1-222001111-1-111i3i3−i3−i300000001−i3i3-1-1i3−i3−i3i300000000000
χ332222-2-2-1-2-22222-1-1-1-2-222211-1-111-1-1-1-1-1-100002-2-21-1-11-1111100000000000
χ342222-2-2-1-2-22222-1-1-1-2-22-2-211-1-111-1-111110000-2221111-1-1-1-1-100000000000
χ352222-2-2-1-2-222-2-2-1-1-122-200111111-1-1−i3−i3i3i30000000-1−i3i3-11i3−i3i3−i300000000000
χ362222-2-2-1-2-222-2-2-1-1-122-200111111-1-1i3i3−i3−i30000000-1i3−i3-11−i3i3−i3i300000000000
χ3722-2-20020000-222-2-20002i−2i002-200002i−2i2i−2i22-2-20000000000002i−2i000000000
χ3822-2-20020000-222-2-20002i−2i002-200002i−2i2i−2i-2-222000000000000−2i2i000000000
χ3922-2-20020000-222-2-2000−2i2i002-20000−2i2i−2i2i22-2-2000000000000−2i2i000000000
χ4022-2-20020000-222-2-2000−2i2i002-20000−2i2i−2i2i-2-2220000000000002i−2i000000000
χ412-22-22-222i−2i2i−2i00-22-2000002-2002i−2i2i−2i00002−22−200000000000000−i2i22−2−i2i2000
χ422-22-22-222i−2i2i−2i00-22-2000002-2002i−2i2i−2i0000−22−2200000000000000i2−i2−22i2−i2000
χ432-22-22-22−2i2i−2i2i00-22-2000002-200−2i2i−2i2i00002−22−200000000000000i2−i22−2i2−i2000
χ442-22-22-22−2i2i−2i2i00-22-2000002-200−2i2i−2i2i0000−22−2200000000000000−i2i2−22−i2i2000
χ452-22-2-2222i−2i−2i2i00-22-200000-22002i−2i−2i2i00002−22−200000000000000i2−i2−22−i2i2000
χ462-22-2-2222i−2i−2i2i00-22-200000-22002i−2i−2i2i0000−22−2200000000000000−i2i22−2i2−i2000
χ472-22-2-222−2i2i2i−2i00-22-200000-2200−2i2i2i−2i00002−22−200000000000000−i2i2−22i2−i2000
χ482-22-2-222−2i2i2i−2i00-22-200000-2200−2i2i2i−2i0000−22−2200000000000000i2−i22−2−i2i2000
χ4944-4-400400004-44-4-40000000-4400000000000000000000000000000000000
χ5044-4-400-200004-4-22200000002-2000023−23−2323000000000000000000000000000
χ5144-4-400-200004-4-22200000002-20000−232323−23000000000000000000000000000
χ5244-4-400-20000-44-2220004i−4i00-220000−2i2i−2i2i000000000000000000000000000
χ5344-4-400-20000-44-222000−4i4i00-2200002i−2i2i−2i000000000000000000000000000
χ544-44-44-4-24i−4i4i−4i002-2200000-2200−2i2i−2i2i0000000000000000000000000000000
χ554-44-44-4-2−4i4i−4i4i002-2200000-22002i−2i2i−2i0000000000000000000000000000000
χ564-44-4-44-24i−4i−4i4i002-22000002-200−2i2i2i−2i0000000000000000000000000000000
χ574-44-4-44-2−4i4i4i−4i002-22000002-2002i−2i−2i2i0000000000000000000000000000000
χ584-4-44004000000-4-440000000000000000022−22−222200000000000000000000000
χ594-4-44004000000-4-4400000000000000000−222222−2200000000000000000000000
χ608-8-8800-400000044-400000000000000000000000000000000000000000000

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