Finite Group Databasebeta

← Group #5821

Character table — Group #5821

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222444444446666121211112222224444444466661212
order1244234612122466612121288882422442646121224666121212888824
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-11-1-11-1-11111-1-11111111111-1-11-1-11-1-11111-1-1
χ41111111111-1-11-1-11-1-1-1-1-1-1111111111111-1-11-1-11-1-1-1-1-1-111
χ511-1-1-1111-1-11-1-1111-1-111-1-11-111-1-1-1111-1-11-1-1111-1-111-1-11-1
χ611-1-1-1111-1-11-1-1111-1-1-1-111-1111-1-1-1111-1-11-1-1111-1-1-1-111-11
χ711-1-1-1111-1-1-11-1-1-111111-1-1-1111-1-1-1111-1-1-11-1-1-111111-1-1-11
χ811-1-1-1111-1-1-11-1-1-1111-1-1111-111-1-1-1111-1-1-11-1-1-1111-1-1111-1
χ922222-12-1-1-122-1-1-1-1-1-100000022222-12-1-1-122-1-1-1-1-1-1000000
χ1022222-12-1-1-1-2-2-111-11100000022222-12-1-1-1-2-2-111-111000000
χ112222-22-222200-200-2000000002222-22-222200-200-200000000
χ122222-2-1-2-1-1-1001−i3i31−i3i30000002222-2-1-2-1-1-1001−i3i31−i3i3000000
χ132222-2-1-2-1-1-1001i3−i31i3−i30000002222-2-1-2-1-1-1001i3−i31i3−i3000000
χ1422-2-222-22-2-200200-20000000022-2-222-22-2-200200-200000000
χ1522-2-22-1-2-11100-1−i3i31i3−i300000022-2-22-1-2-11100-1−i3i31i3−i3000000
χ1622-2-22-1-2-11100-1i3−i31−i3i300000022-2-22-1-2-11100-1i3−i31−i3i3000000
χ1722-2-2-2-12-1112-21-1-1-11100000022-2-2-2-12-1112-21-1-1-111000000
χ1822-2-2-2-12-111-22111-1-1-100000022-2-2-2-12-111-22111-1-1-1000000
χ192-22i−2i020-22i−2i000000002−2−i2i2002-22i−2i020-22i−2i000000002−2−i2i200
χ202-22i−2i020-22i−2i00000000−22i2−i2002-22i−2i020-22i−2i00000000−22i2−i200
χ212-2−2i2i020-2−2i2i000000002−2i2−i2002-2−2i2i020-2−2i2i000000002−2i2−i200
χ222-2−2i2i020-2−2i2i00000000−22−i2i2002-2−2i2i020-2−2i2i00000000−22−i2i200
χ234-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i00000000000000
χ244-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i00000000000000
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-111
χ281111111111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1111111-1-1
χ2911-1-1-1111-1-11-1-1111-1-111-1-11-1-1-1111-1-1-111-111-1-1-111-1-111-11
χ3011-1-1-1111-1-11-1-1111-1-1-1-111-11-1-1111-1-1-111-111-1-1-11111-1-11-1
χ3111-1-1-1111-1-1-11-1-1-111111-1-1-11-1-1111-1-1-1111-1111-1-1-1-1-1111-1
χ3211-1-1-1111-1-1-11-1-1-1111-1-1111-1-1-1111-1-1-1111-1111-1-1-111-1-1-11
χ3322222-12-1-1-122-1-1-1-1-1-1000000-2-2-2-2-21-2111-2-2111111000000
χ3422222-12-1-1-1-2-2-111-111000000-2-2-2-2-21-2111221-1-11-1-1000000
χ352222-22-222200-200-200000000-2-2-2-22-22-2-2-200200200000000
χ362222-2-1-2-1-1-1001−i3i31−i3i3000000-2-2-2-221211100-1i3−i3-1i3−i3000000
χ372222-2-1-2-1-1-1001i3−i31i3−i3000000-2-2-2-221211100-1−i3i3-1−i3i3000000
χ3822-2-222-22-2-200200-200000000-2-222-2-22-22200-200200000000
χ3922-2-22-1-2-11100-1−i3i31i3−i3000000-2-222-2121-1-1001i3−i3-1−i3i3000000
χ4022-2-22-1-2-11100-1i3−i31−i3i3000000-2-222-2121-1-1001−i3i3-1i3−i3000000
χ4122-2-2-2-12-1112-21-1-1-111000000-2-22221-21-1-1-22-1111-1-1000000
χ4222-2-2-2-12-111-22111-1-1-1000000-2-22221-21-1-12-2-1-1-1111000000
χ432-22i−2i020-22i−2i000000002−2−i2i200-22−2i2i0-202−2i2i00000000−22i2−i200
χ442-22i−2i020-22i−2i00000000−22i2−i200-22−2i2i0-202−2i2i000000002−2−i2i200
χ452-2−2i2i020-2−2i2i000000002−2i2−i200-222i−2i0-2022i−2i00000000−22−i2i200
χ462-2−2i2i020-2−2i2i00000000−22−i2i200-222i−2i0-2022i−2i000000002−2i2−i200
χ474-44i−4i0-202−2i2i00000000000000-44−4i4i020-22i−2i00000000000000
χ484-4−4i4i0-2022i−2i00000000000000-444i−4i020-2−2i2i00000000000000

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