Finite Group Databasebeta

← Group #69503

Character table — Group #69503

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order1222222234444444466666662266661212121212121212444412121212121212124444444488888888
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
χ511111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-1-11-1-11111111-1-1-1-111-1-11-1-11-111-1-111-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ101-1-11-1-11111111-1-1-1-111-1-11-1-11-111-1-111-1-111-1-1i−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ111-1-11-1-11111111-1-1-1-111-1-11-1-11-111-1-111-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ121-1-11-1-11111111-1-1-1-111-1-11-1-11-111-1-111-1-111-1-1−ii−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ131-1-11-1-111111-1-111-1-111-1-11-1-1-11-1-11111-1-1-1-111i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ141-1-11-1-111111-1-111-1-111-1-11-1-1-11-1-11111-1-1-1-111i−i−iiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ151-1-11-1-111111-1-111-1-111-1-11-1-1-11-1-11111-1-1-1-111−iii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ161-1-11-1-111111-1-111-1-111-1-11-1-1-11-1-11111-1-1-1-111−iii−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ17222222222-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ18222222222-2-2-2-2-2-2-2-22222222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ1922222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2122222222-122-2-2-2-222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ2222222222-122-2-2-2-222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ2322222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-211111111-1-1-1-10000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2422222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-211111111-1-1-1-10000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1111111110000−i3i3−i3i3i3−i3i3−i30000000000000000
χ2622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1111111110000i3−i3i3−i3−i3i3−i3i30000000000000000
χ2722-222-2-2-222-200002-2-2-22-222-20000002-22-2000000000000000000002i−2i2i−2i00000000
χ2822-222-2-2-222-200002-2-2-22-222-20000002-22-200000000000000000000−2i2i−2i2i00000000
χ2922-222-2-2-22-220000-22-2-22-222-2000000-22-2200000000000000002i−2i2i−2i000000000000
χ3022-222-2-2-22-220000-22-2-22-222-2000000-22-220000000000000000−2i2i−2i2i000000000000
χ3122-2-2-222-22002i−2i2i−2i002-22-2-2-2200000000002i−2i2i−2i00000000000000000000−i2i2−i2i22−22−2
χ3222-2-2-222-22002i−2i2i−2i002-22-2-2-2200000000002i−2i2i−2i00000000000000000000i2−i2i2−i2−22−22
χ3322-2-2-222-2200−2i2i−2i2i002-22-2-2-220000000000−2i2i−2i2i00000000000000000000−i2i2−i2i2−22−22
χ3422-2-2-222-2200−2i2i−2i2i002-22-2-2-220000000000−2i2i−2i2i00000000000000000000i2−i2i2−i22−22−2
χ352-222-22-2-222-20000-22-2-2-222-220000002-2-22000000000000000000002i−2i−2i2i00000000
χ362-222-22-2-222-20000-22-2-2-222-220000002-2-2200000000000000000000−2i2i2i−2i00000000
χ372-222-22-2-22-2200002-2-2-2-222-22000000-222-200000000000000002i−2i−2i2i000000000000
χ382-222-22-2-22-2200002-2-2-2-222-22000000-222-20000000000000000−2i2i2i−2i000000000000
χ392-22-22-22-22002i−2i−2i2i002-2-22-22-200000000002i−2i−2i2i000000000000000000002−2−22i2−i2−i2i2
χ402-22-22-22-22002i−2i−2i2i002-2-22-22-200000000002i−2i−2i2i00000000000000000000−222−2−i2i2i2−i2
χ412-22-22-22-2200−2i2i2i−2i002-2-22-22-20000000000−2i2i2i−2i000000000000000000002−2−22−i2i2i2−i2
χ422-22-22-22-2200−2i2i2i−2i002-2-22-22-20000000000−2i2i2i−2i00000000000000000000−222−2i2−i2−i2i2
χ432-2-22-2-2222-2-222-2-22222-2-22-2-2-22-2-222-2-22222-2-20000000000000000000000000000
χ442-2-22-2-2222-2-2-2-2222222-2-22-2-22-222-2-2-2-222-2-2220000000000000000000000000000
χ452-2-22-2-222-12222-2-2-2-2-1-111-1112-2-1-111-1-111-1-1112i−2i2i−2i−i−iii−i−iii0000000000000000
χ462-2-22-2-222-12222-2-2-2-2-1-111-1112-2-1-111-1-111-1-111−2i2i−2i2iii−i−iii−i−i0000000000000000
χ472-2-22-2-222-122-2-222-2-2-1-111-111-2211-1-1-1-11111-1-12i−2i−2i2i−i−iiiii−i−i0000000000000000
χ482-2-22-2-222-122-2-222-2-2-1-111-111-2211-1-1-1-11111-1-1−2i2i2i−2iii−i−i−i−iii0000000000000000
χ492-2-22-2-222-1-2-222-2-222-1-111-111-2211-1-111-1-1-1-11100003−3−333−3−330000000000000000
χ502-2-22-2-222-1-2-222-2-222-1-111-111-2211-1-111-1-1-1-1110000−333−3−333−30000000000000000
χ512-2-22-2-222-1-2-2-2-22222-1-111-1112-2-1-11111-1-111-1-100003−3−33−333−30000000000000000
χ522-2-22-2-222-1-2-2-2-22222-1-111-1112-2-1-11111-1-111-1-10000−333−33−3−330000000000000000
χ53444-4-4-4-44400000000-4444-4-4-4000000000000000000000000000000000000000000
χ54444-4-4-4-44-2000000002-2-2-222200−2i32i3−2i32i3000000000000000000000000000000000000
χ55444-4-4-4-44-2000000002-2-2-2222002i3−2i32i3−2i3000000000000000000000000000000000000
χ5644-444-4-4-4-24-400004-422-22-2-22000000-22-2200000000000000000000000000000000
χ5744-444-4-4-4-2-440000-4422-22-2-220000002-22-200000000000000000000000000000000
χ5844-4-4-444-4-2004i−4i4i−4i00-22-2222-20000000000−2i2i−2i2i0000000000000000000000000000
χ5944-4-4-444-4-200−4i4i−4i4i00-22-2222-200000000002i−2i2i−2i0000000000000000000000000000
χ604-444-44-4-4-24-40000-44222-2-22-2000000-222-200000000000000000000000000000000
χ614-444-44-4-4-2-4400004-4222-2-22-20000002-2-2200000000000000000000000000000000
χ624-44-44-44-4-2004i−4i−4i4i00-222-22-220000000000−2i2i2i−2i0000000000000000000000000000
χ634-44-44-44-4-200−4i4i4i−4i00-222-22-2200000000002i−2i−2i2i0000000000000000000000000000
χ644-4-4-444-44400000000-44-4-4-444000000000000000000000000000000000000000000
χ654-4-4-444-44-2000000002-2222-2-200−2i32i32i3−2i3000000000000000000000000000000000000
χ664-4-4-444-44-2000000002-2222-2-2002i3−2i3−2i32i3000000000000000000000000000000000000

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