Finite Group Databasebeta

← Group #83152

Character table — Group #83152

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12224444223444444666121212124466121212121212121212122444661212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-1-1-111111-1-1-1-11-11111-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-1111-1-1-1-111111-1-1-1-11-11111-1-111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-1-1-1111-1-1-1-111111-1-1-1-11-11111-1-111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ121111-1-1-1-1111-1-1-1-111111-1-1-1-11-11111-1-111-1-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-1-1-1111-1-111111-1-1-1-1-11-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-1-1-1111-1-111111-1-1-1-1-11-1-111-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-1-1-1111-1-111111-1-1-1-1-11-1-111-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1-1-1111-1-111111-1-1-1-1-11-1-111-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-22222222-2-222-2-2-2-2-2-222-2-20000000000000000000000000000
χ182222222222-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ192222222222-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ202222222222-122-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1111111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ212222222222-122-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1111111-1-1110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2222222222-2-22-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2220000000000000000000000000000
χ2322222222-2-2-1-2-22222-1-1-1-1-1-1-1-2-211-1-1-1-111111122-2-2-1-1-1-111110000000000000000
χ2422222222-2-2-1-2-22222-1-1-1-1-1-1-1-2-211-1-1-1-1111111-2-2221111-1-1-1-10000000000000000
χ2522222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-122111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
χ2622222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-122111111-1-111-1-10000i3−i3i3−i3−i3i3−i3i30000000000000000
χ272222-2-2-2-2222-2-222-2-2222-2-2-2-2-2222-2-222-2-2-2-2220000000000000000000000000000
χ282222-2-2-2-222-1-2-222-2-2-1-1-11111-22-1-111-1-11111-1-10000−i3i3i3−i3−i3i3i3−i30000000000000000
χ292222-2-2-2-222-1-2-222-2-2-1-1-11111-22-1-111-1-11111-1-10000i3−i3−i3i3i3−i3−i3i30000000000000000
χ302222-2-2-2-222-1-2-2-2-222-1-1-111112-2-1-1-1-111-1-111112-22-2-1-111-1-1110000000000000000
χ312222-2-2-2-222-1-2-2-2-222-1-1-111112-2-1-1-1-111-1-11111-22-2211-1-111-1-10000000000000000
χ322222-2-2-2-2-2-222222-2-2222-2-2-2-22-2-2-2-2-2222222-2-20000000000000000000000000000
χ332222-2-2-2-2-2-2-12222-2-2-1-1-111112-21111-1-1-1-1-1-1110000−i3i3i3−i3i3−i3−i3i30000000000000000
χ342222-2-2-2-2-2-2-12222-2-2-1-1-111112-21111-1-1-1-1-1-1110000i3−i3−i3i3−i3i3i3−i30000000000000000
χ352222-2-2-2-2-2-2-122-2-222-1-1-11111-2211-1-11111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ362222-2-2-2-2-2-2-122-2-222-1-1-11111-2211-1-11111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ372-22-22i2i−2i−2i002002i−2i2-22-2-22i2i−2i−2i00002-22i−2i00000000000000000000002-22i−2i00000000
χ382-22-22i2i−2i−2i002002i−2i2-22-2-22i2i−2i−2i00002-22i−2i0000000000000000000000-22−2i2i00000000
χ392-22-22i2i−2i−2i00200−2i2i-222-2-22i2i−2i−2i0000-22−2i2i0000000000000000002-22i−2i000000000000
χ402-22-22i2i−2i−2i00200−2i2i-222-2-22i2i−2i−2i0000-22−2i2i000000000000000000-22−2i2i000000000000
χ412-22-2−2i−2i2i2i002002i−2i-222-2-2−2i−2i2i2i0000-222i−2i0000000000000000002-2−2i2i000000000000
χ422-22-2−2i−2i2i2i002002i−2i-222-2-2−2i−2i2i2i0000-222i−2i000000000000000000-222i−2i000000000000
χ432-22-2−2i−2i2i2i00200−2i2i2-22-2-2−2i−2i2i2i00002-2−2i2i00000000000000000000002-2−2i2i00000000
χ442-22-2−2i−2i2i2i00200−2i2i2-22-2-2−2i−2i2i2i00002-2−2i2i0000000000000000000000-222i−2i00000000
χ452-2-222i−2i2i−2i2-222i−2i0000-22-22i−2i2i−2i002-20000002i−2i0000000000000000000000−i2i22−2−i2i22−2
χ462-2-222i−2i2i−2i2-222i−2i0000-22-22i−2i2i−2i002-20000002i−2i0000000000000000000000i2−i2−22i2−i2−22
χ472-2-222i−2i2i−2i-222−2i2i0000-22-22i−2i2i−2i00-22000000−2i2i0000000000000000000000−i2i22−2i2−i2−22
χ482-2-222i−2i2i−2i-222−2i2i0000-22-22i−2i2i−2i00-22000000−2i2i0000000000000000000000i2−i2−22−i2i22−2
χ492-2-22−2i2i−2i2i2-22−2i2i0000-22-2−2i2i−2i2i002-2000000−2i2i0000000000000000000000−i2i2−22−i2i2−22
χ502-2-22−2i2i−2i2i2-22−2i2i0000-22-2−2i2i−2i2i002-2000000−2i2i0000000000000000000000i2−i22−2i2−i22−2
χ512-2-22−2i2i−2i2i-2222i−2i0000-22-2−2i2i−2i2i00-220000002i−2i0000000000000000000000−i2i2−22i2−i22−2
χ522-2-22−2i2i−2i2i-2222i−2i0000-22-2−2i2i−2i2i00-220000002i−2i0000000000000000000000i2−i22−2−i2i2−22
χ5344-4-44-4-44004000000-4-444-4-44000000000000000000000000000000000000000000
χ5444-4-44-4-4400-200000022-2-222-20000000023−230023−230000000000000000000000000000
χ5544-4-44-4-4400-200000022-2-222-200000000−232300−23230000000000000000000000000000
χ5644-4-4-444-4004000000-4-44-444-4000000000000000000000000000000000000000000
χ5744-4-4-444-400-200000022-22-2-220000000023−2300−23230000000000000000000000000000
χ5844-4-4-444-400-200000022-22-2-2200000000−23230023−230000000000000000000000000000
χ594-44-44i4i−4i−4i00-2004i−4i4-4-222−2i−2i2i2i0000-22−2i2i0000000000000000000000000000000000
χ604-44-44i4i−4i−4i00-200−4i4i-44-222−2i−2i2i2i00002-22i−2i0000000000000000000000000000000000
χ614-44-4−4i−4i4i4i00-2004i−4i-44-2222i2i−2i−2i00002-2−2i2i0000000000000000000000000000000000
χ624-44-4−4i−4i4i4i00-200−4i4i4-4-2222i2i−2i−2i0000-222i−2i0000000000000000000000000000000000
χ634-4-444i−4i4i−4i4-4-24i−4i00002-22−2i2i−2i2i00-22000000−2i2i000000000000000000000000000000
χ644-4-444i−4i4i−4i-44-2−4i4i00002-22−2i2i−2i2i002-20000002i−2i000000000000000000000000000000
χ654-4-44−4i4i−4i4i4-4-2−4i4i00002-222i−2i2i−2i00-220000002i−2i000000000000000000000000000000
χ664-4-44−4i4i−4i4i-44-24i−4i00002-222i−2i2i−2i002-2000000−2i2i000000000000000000000000000000

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