Finite Group Databasebeta

← Group #83509

Character table — Group #83509

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222224444444444444444466668888888888881212121212121212242424
order122222344444466622244666666121212121212888824466612121212121244888888244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-11111-1-1-1-11111111111-1-1-11-1-11-1-11-1-1-1-1111111-1-1-1
χ411111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-11-1-11-1-111-1-1-1-1-1-1111
χ51111111-1-1-1-111111-111-11111111-1-111-1-111111-1-1-111-1-1-11-1-111-1-111-1-1-1-11
χ61111111-1-1-1-111111-111-11111111-1-111-1-1-1-1-1-11-1-1-111-1-1-11-1-1-1-111-1-11111-1
χ71111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-11111-111-1-1-1-111111-1-1-1-111-1-111-1
χ81111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111111-1-111-1-11
χ91111-1-1111-1-111111-1111-1-1-111111111-1-11111-11-1-1-1-1111-1-1-11111-1-1-1-1-11-1
χ101111-1-1111-1-111111-1111-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-111111-11
χ111111-1-1111-1-111111-1-1-11-1-1-1-1-1-1-11111-1-111111-11-1111-1-1-111-1-111-1-1-1-11-11
χ121111-1-1111-1-111111-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1111-1-1-11111-1-11111-11-1
χ131111-1-11-1-11111111111-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1
χ141111-1-11-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-111
χ151111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111-111-1-1-1-1-1-1-1-1-111-111
χ161111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1111-111-1-1-1111111-1-11-1-1
χ1722222222222-2-2222-200-2-222000022-2-2220000000-200-200-20000000000000
χ182222222-2-2-2-2-2-22222002-2220000-2-2-2-2-2-20000000200200-20000000000000
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
χ20222222-1222222-1-1-12-2-222-1-11111-1-1-1-1-1-10000-2-2-2-111-111-11100000000000
χ21222222-12222-2-2-1-1-1-200-2-2-1-1−i3−i3i3i3-1-111-1-100000001−i3i31−i3i31−i3i300000000000
χ22222222-12222-2-2-1-1-1-200-2-2-1-1i3i3−i3−i3-1-111-1-100000001i3−i31i3−i31i3−i300000000000
χ23222222-1-2-2-2-222-1-1-1-222-22-1-1-1-1-1-111-1-11100002-2-21-1-1111-11100000000000
χ24222222-1-2-2-2-222-1-1-1-2-2-2-22-1-1111111-1-1110000-2221111-1-1-1-1-100000000000
χ25222222-1-2-2-2-2-2-2-1-1-12002-2-1-1−i3−i3i3i31111110000000-1−i3i3-1i3−i31i3−i300000000000
χ26222222-1-2-2-2-2-2-2-1-1-12002-2-1-1i3i3−i3−i31111110000000-1i3−i3-1−i3i31−i3i300000000000
χ272222-2-2222-2-2-2-2222200-22-2-2000022-2-2-2-20000000200-20020000000000000
χ282222-2-22-2-222-2-2222-20022-2-20000-2-2-2-2220000000-20020020000000000000
χ292222-2-2-122-2-222-1-1-1-2222-211-1-1-1-1-1-1-1-1110000-22-2111-1-1-111100000000000
χ302222-2-2-122-2-222-1-1-1-2-2-22-2111111-1-1-1-11100002-221-1-1-1111-1-100000000000
χ312222-2-2-122-2-2-2-2-1-1-1200-2211−i3−i3i3i3-1-111110000000-1i3−i31−i3i3-1i3−i300000000000
χ322222-2-2-122-2-2-2-2-1-1-1200-2211i3i3−i3−i3-1-111110000000-1−i3i31i3−i3-1−i3i300000000000
χ332222-2-2-1-2-22222-1-1-1222-2-211-1-1-1-111-1-1-1-10000-2-22-1111111-1-100000000000
χ342222-2-2-1-2-22222-1-1-12-2-2-2-211111111-1-1-1-1000022-2-1-1-11-1-111100000000000
χ352222-2-2-1-2-222-2-2-1-1-1-2002211−i3−i3i3i31111-1-100000001i3−i3-1i3−i3-1−i3i300000000000
χ362222-2-2-1-2-222-2-2-1-1-1-2002211i3i3−i3−i31111-1-100000001−i3i3-1−i3i3-1i3−i300000000000
χ372-22-22-222i−2i2i−2i002-2-2000002-200002i−2i002i−2i−i2−i2i2i2000000000000002−2−i2i22−2000
χ382-22-22-222i−2i2i−2i002-2-2000002-200002i−2i002i−2ii2i2−i2−i200000000000000−22i2−i2−22000
χ392-22-22-22−2i2i−2i2i002-2-2000002-20000−2i2i00−2i2i−i2−i2i2i200000000000000−22−i2i2−22000
χ402-22-22-22−2i2i−2i2i002-2-2000002-20000−2i2i00−2i2ii2i2−i2−i2000000000000002−2i2−i22−2000
χ412-22-2-2222i−2i−2i2i002-2-200000-2200002i−2i00−2i2i−i2−i2i2i2000000000000002−2i2−i2−22000
χ422-22-2-2222i−2i−2i2i002-2-200000-2200002i−2i00−2i2ii2i2−i2−i200000000000000−22−i2i22−2000
χ432-22-2-222−2i2i2i−2i002-2-200000-220000−2i2i002i−2i−i2−i2i2i200000000000000−22i2−i22−2000
χ442-22-2-222−2i2i2i−2i002-2-200000-220000−2i2i002i−2ii2i2−i2−i2000000000000002−2−i2i2−22000
χ452-2-220020000-22-2-2202-200002-22-2002-2002-22-20000000000002-2000000000
χ462-2-220020000-22-2-2202-200002-22-2002-200-22-22000000000000-22000000000
χ472-2-220020000-22-2-220-220000-22-22002-2002-22-2000000000000-22000000000
χ482-2-220020000-22-2-220-220000-22-22002-200-22-220000000000002-2000000000
χ4944-4-4004000000-44-400000000000000000−2i22i22i2−2i200000000000000000000000
χ5044-4-4004000000-44-4000000000000000002i2−2i2−2i22i200000000000000000000000
χ514-44-44-4-24i−4i4i−4i00-22200000-220000−2i2i00−2i2i000000000000000000000000000
χ524-44-44-4-2−4i4i−4i4i00-22200000-2200002i−2i002i−2i000000000000000000000000000
χ534-44-4-44-24i−4i−4i4i00-222000002-20000−2i2i002i−2i000000000000000000000000000
χ544-44-4-44-2−4i4i4i−4i00-222000002-200002i−2i00−2i2i000000000000000000000000000
χ554-4-4400400004-4-4-440000000000000-4400000000000000000000000000000
χ564-4-4400-200004-422-20000000−2i32i32i3−2i3002-200000000000000000000000000000
χ574-4-4400-200004-422-200000002i3−2i3−2i32i3002-200000000000000000000000000000
χ584-4-4400-20000-4422-204-40000-22-2200-2200000000000000000000000000000
χ594-4-4400-20000-4422-20-4400002-22-200-2200000000000000000000000000000
χ6088-8-800-40000004-4400000000000000000000000000000000000000000000

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