Finite Group Databasebeta

← Group #69965

Character table — Group #69965

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111111122222222222222222222444444444444666666666666666688888888888824242424
order122244442222223444444666121212126666661212121212124444444444444444888824242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11
χ6111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1
χ7111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-111-1
χ8111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-1-11
χ91111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i11-1-1
χ101111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-1-111
χ111111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−iii−i−iii−i−i-1-111
χ121111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−i−iii−i−iii11-1-1
χ131111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii1-11-1
χ141111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-11-11
χ151111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-11-11
χ161111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i1-11-1
χ1722222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ19222222222-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-11111000000000000000022-2-2-1-1-1-111110000
χ20222222222-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000000000000000-2-2221111-1-1-1-10000
χ2122222222-222-2-2-22-2-2-2-2222222222-2-222-2-2-2-2-2-22200000000000000000000000000000000
χ2222222222-222-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2322222222-222-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111-1-1111111-1-100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2422222222-2-2-222-22-2-222-2-22222222-2-2-2-222-2-222-2-200000000000000000000000000000000
χ2522222222-2-2-222-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ2622222222-2-2-222-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-111-1-11100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ272222-2-2-2-22222222-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000
χ282222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1111111000000000000000000003−3−333−3−330000
χ292222-2-2-2-2222222-1-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000000000−333−3−333−30000
χ302222-2-2-2-22-2-2-2-222-2-22222222-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000000000
χ312222-2-2-2-22-2-2-2-22-1-2-22222-1-1-11111-1-1111111-1-1-1-1000000000000000000003−3−33−333−30000
χ322222-2-2-2-22-2-2-2-22-1-2-22222-1-1-11111-1-1111111-1-1-1-100000000000000000000−333−33−3−330000
χ332222-2-2-2-2-222-2-2-2-12222-2-2-1-1-1111111-1-111-1-1-1-11100000000000000002i−2i2i−2i−i−iii−i−iii0000
χ342222-2-2-2-2-222-2-2-2-12222-2-2-1-1-1111111-1-111-1-1-1-1110000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ352222-2-2-2-2-2-2-222-2-122-2-222-1-1-111111111-1-1-1-111-1-100000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ362222-2-2-2-2-2-2-222-2-122-2-222-1-1-111111111-1-1-1-111-1-10000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ3722-2-22i2i−2i−2i0002-202002i−2i002-2-22i2i−2i−2i00002-2002i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000
χ3822-2-22i2i−2i−2i0002-202002i−2i002-2-22i2i−2i−2i00002-2002i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000
χ3922-2-22i2i−2i−2i000-220200−2i2i002-2-22i2i−2i−2i0000-2200−2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000
χ4022-2-22i2i−2i−2i000-220200−2i2i002-2-22i2i−2i−2i0000-2200−2i2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000
χ4122-2-2−2i−2i2i2i0002-20200−2i2i002-2-2−2i−2i2i2i00002-200−2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000
χ4222-2-2−2i−2i2i2i0002-20200−2i2i002-2-2−2i−2i2i2i00002-200−2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000
χ4322-2-2−2i−2i2i2i000-2202002i−2i002-2-2−2i−2i2i2i0000-22002i−2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000
χ4422-2-2−2i−2i2i2i000-2202002i−2i002-2-2−2i−2i2i2i0000-22002i−2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000
χ452-22-22i−2i2i−2i02-2000200002i−2i-22-22i−2i2i−2i002-20000002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ462-22-22i−2i2i−2i02-2000200002i−2i-22-22i−2i2i−2i002-20000002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ472-22-22i−2i2i−2i0-2200020000−2i2i-22-22i−2i2i−2i00-22000000−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ482-22-22i−2i2i−2i0-2200020000−2i2i-22-22i−2i2i−2i00-22000000−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ492-22-2−2i2i−2i2i02-200020000−2i2i-22-2−2i2i−2i2i002-2000000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ502-22-2−2i2i−2i2i02-200020000−2i2i-22-2−2i2i−2i2i002-2000000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ512-22-2−2i2i−2i2i0-22000200002i−2i-22-2−2i2i−2i2i00-220000002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ522-22-2−2i2i−2i2i0-22000200002i−2i-22-2−2i2i−2i2i00-220000002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ532-2-222-2-2220000-222-20000-2-222-2-222-200002-20000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ542-2-222-2-2220000-222-20000-2-222-2-222-200002-2000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ552-2-222-2-22-2000022-220000-2-222-2-22-220000-2200002-2-222-2-22000000000000000000000000
χ562-2-222-2-22-2000022-220000-2-222-2-22-220000-220000-222-2-222-2000000000000000000000000
χ572-2-22-222-220000-22-220000-2-22-222-22-20000-2200002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ582-2-22-222-220000-22-220000-2-22-222-22-20000-220000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ592-2-22-222-2-20000222-20000-2-22-222-2-2200002-20000000000002-2-222-2-220000000000000000
χ602-2-22-222-2-20000222-20000-2-22-222-2-2200002-2000000000000-222-2-222-20000000000000000
χ6144-4-44i4i−4i−4i0004-40-2004i−4i00-222−2i−2i2i2i0000-2200−2i2i0000000000000000000000000000000000
χ6244-4-44i4i−4i−4i000-440-200−4i4i00-222−2i−2i2i2i00002-2002i−2i0000000000000000000000000000000000
χ6344-4-4−4i−4i4i4i0004-40-200−4i4i00-2222i2i−2i−2i0000-22002i−2i0000000000000000000000000000000000
χ6444-4-4−4i−4i4i4i000-440-2004i−4i00-2222i2i−2i−2i00002-200−2i2i0000000000000000000000000000000000
χ654-44-44i−4i4i−4i04-4000-200004i−4i2-22−2i2i−2i2i00-22000000−2i2i00000000000000000000000000000000
χ664-44-44i−4i4i−4i0-44000-20000−4i4i2-22−2i2i−2i2i002-20000002i−2i00000000000000000000000000000000
χ674-44-4−4i4i−4i4i04-4000-20000−4i4i2-222i−2i2i−2i00-220000002i−2i00000000000000000000000000000000
χ684-44-4−4i4i−4i4i0-44000-200004i−4i2-222i−2i2i−2i002-2000000−2i2i00000000000000000000000000000000
χ694-4-444-4-4440000-4-24-4000022-2-222-2-220000-22000000000000000000000000000000000000
χ704-4-444-4-44-400004-2-44000022-2-222-22-200002-2000000000000000000000000000000000000
χ714-4-44-444-440000-4-2-44000022-22-2-22-2200002-2000000000000000000000000000000000000
χ724-4-44-444-4-400004-24-4000022-22-2-222-20000-22000000000000000000000000000000000000

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