Finite Group Databasebeta

← Group #83296

Character table — Group #83296

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order122244442234444446661212121244661212121212121212121222446666121212122244444488888888
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
χ511111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1111-11-111-1-111-1-111-1-1-1-1111111-1-1-1-1
χ611111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1111-11-111-1-111-1-1-1-11111-1-1-1-1-1-11111
χ711111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-1-1-111-1-1-1-11111
χ811111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-111-1-11111-1-11111-1-1-1-1
χ91111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ111111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ121111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111-1-1-1-1-1-11-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111-1-1111-1-1-1-11111-1-111-1-111-1-1-1-111
χ141111-1-1-1-1-1-11-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111-1-1111-1-1-1-111-1-111-1-111-1-11111-1-1
χ151111-1-1-1-1-1-11-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-111-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ161111-1-1-1-1-1-11-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-111-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ172222222222-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ182222222222-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ192222222222-1-2-2-2-222-1-1-1-1-1-1-1-2-2-1-111111111-1-12-22-2-1-111-1-1110000000000000000
χ202222222222-1-2-2-2-222-1-1-1-1-1-1-1-2-2-1-111111111-1-1-22-2211-1-111-1-10000000000000000
χ2122222222-2-222222-2-22222222-2-2-2-222-2-222-2-2-2-20000000000000000000000000000
χ2222222222-2-22-2-2-2-2-2-2222222222-2-2-2-222-2-222-2-20000000000000000000000000000
χ2322222222-2-2-12222-2-2-1-1-1-1-1-1-1-2-211-1-111-1-111110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2422222222-2-2-12222-2-2-1-1-1-1-1-1-1-2-211-1-111-1-111110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2522222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-111-1-1110000−i3i3i3−i3−i3i3i3−i30000000000000000
χ2622222222-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-111-1-1110000i3−i3−i3i3i3−i3−i3i30000000000000000
χ272222-2-2-2-222222-2-2-2-2222-2-2-2-2-222222-2-2-2-222-2-20000000000000000000000000000
χ282222-2-2-2-2222-2-222-2-2222-2-2-2-22-222-2-22222-2-2-2-20000000000000000000000000000
χ292222-2-2-2-222-122-2-2-2-2-1-1-11111-22-1-1-1-11111-1-1110000−i3i3−i3i3i3−i3i3−i30000000000000000
χ302222-2-2-2-222-122-2-2-2-2-1-1-11111-22-1-1-1-11111-1-1110000i3−i3i3−i3−i3i3−i3i30000000000000000
χ312222-2-2-2-222-1-2-222-2-2-1-1-111112-2-1-111-1-1-1-111110000−i3i3i3−i3i3−i3−i3i30000000000000000
χ322222-2-2-2-222-1-2-222-2-2-1-1-111112-2-1-111-1-1-1-111110000i3−i3−i3i3−i3i3i3−i30000000000000000
χ332222-2-2-2-2-2-2-122-2-222-1-1-111112-211-1-1-1-11111-1-122-2-2-1-1-1-111110000000000000000
χ342222-2-2-2-2-2-2-122-2-222-1-1-111112-211-1-1-1-11111-1-1-2-2221111-1-1-1-10000000000000000
χ352222-2-2-2-2-2-2-1-2-22222-1-1-11111-22111111-1-1-1-1-1-12-2-22-1-11111-1-10000000000000000
χ362222-2-2-2-2-2-2-1-2-22222-1-1-11111-22111111-1-1-1-1-1-1-222-211-1-1-1-1110000000000000000
χ3722-2-22i2i−2i−2i0022-22i−2i002-2-22i2i−2i−2i00002-2002i−2i0000000000000000000000002−2−i2i22−2−i2i2
χ3822-2-22i2i−2i−2i0022-22i−2i002-2-22i2i−2i−2i00002-2002i−2i000000000000000000000000−22i2−i2−22i2−i2
χ3922-2-22i2i−2i−2i002-22−2i2i002-2-22i2i−2i−2i0000-2200−2i2i0000000000000000000000002−2−i2i2−22i2−i2
χ4022-2-22i2i−2i−2i002-22−2i2i002-2-22i2i−2i−2i0000-2200−2i2i000000000000000000000000−22i2−i22−2−i2i2
χ4122-2-2−2i−2i2i2i0022-2−2i2i002-2-2−2i−2i2i2i00002-200−2i2i0000000000000000000000002−2i2−i22−2i2−i2
χ4222-2-2−2i−2i2i2i0022-2−2i2i002-2-2−2i−2i2i2i00002-200−2i2i000000000000000000000000−22−i2i2−22−i2i2
χ4322-2-2−2i−2i2i2i002-222i−2i002-2-2−2i−2i2i2i0000-22002i−2i0000000000000000000000002−2i2−i2−22−i2i2
χ4422-2-2−2i−2i2i2i002-222i−2i002-2-2−2i−2i2i2i0000-22002i−2i000000000000000000000000−22−i2i22−2i2−i2
χ452-2-222-22-22-2200002-2-2-222-22-2002-2000000002-2000000000000002i−2i2i−2i0000000000
χ462-2-222-22-22-2200002-2-2-222-22-2002-2000000002-200000000000000−2i2i−2i2i0000000000
χ472-2-222-22-2-2220000-22-2-222-22-200-2200000000-220000000000002-200002-200000000
χ482-2-222-22-2-2220000-22-2-222-22-200-2200000000-22000000000000-220000-2200000000
χ492-2-22-22-222-220000-22-2-22-22-22002-200000000-220000000000002-20000-2200000000
χ502-2-22-22-222-220000-22-2-22-22-22002-200000000-22000000000000-2200002-200000000
χ512-2-22-22-22-22200002-2-2-22-22-2200-22000000002-2000000000000002i−2i−2i2i0000000000
χ522-2-22-22-22-22200002-2-2-22-22-2200-22000000002-200000000000000−2i2i2i−2i0000000000
χ5344-4-44i4i−4i−4i00-24-44i−4i00-222−2i−2i2i2i0000-2200−2i2i00000000000000000000000000000000
χ5444-4-44i4i−4i−4i00-2-44−4i4i00-222−2i−2i2i2i00002-2002i−2i00000000000000000000000000000000
χ5544-4-4−4i−4i4i4i00-24-4−4i4i00-2222i2i−2i−2i0000-22002i−2i00000000000000000000000000000000
χ5644-4-4−4i−4i4i4i00-2-444i−4i00-2222i2i−2i−2i00002-200−2i2i00000000000000000000000000000000
χ574-44-44i−4i−4i4i004000000-44-44i−4i−4i4i000000000000000000000000000000000000000000
χ584-44-44i−4i−4i4i00-20000002-22−2i2i2i−2i000000−2i32i30023−23000000000000000000000000000000
χ594-44-44i−4i−4i4i00-20000002-22−2i2i2i−2i0000002i3−2i300−2323000000000000000000000000000000
χ604-44-4−4i4i4i−4i004000000-44-4−4i4i4i−4i000000000000000000000000000000000000000000
χ614-44-4−4i4i4i−4i00-20000002-222i−2i−2i2i000000−2i32i300−2323000000000000000000000000000000
χ624-44-4−4i4i4i−4i00-20000002-222i−2i−2i2i0000002i3−2i30023−23000000000000000000000000000000
χ634-4-444-44-44-4-200004-422-2-22-2200-2200000000-220000000000000000000000000000
χ644-4-444-44-4-44-20000-4422-2-22-22002-2000000002-20000000000000000000000000000
χ654-4-44-44-444-4-20000-4422-22-22-200-22000000002-20000000000000000000000000000
χ664-4-44-44-44-44-200004-422-22-22-2002-200000000-220000000000000000000000000000

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