Finite Group Databasebeta

← Group #75528

Character table — Group #75528

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order122222223444444446666666441212121212121212121212122444661212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-111-1-1-1-111-1-1
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-11111-1-111
χ9111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ10111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1111111-1-1-1-1-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-11111-1-111-1-1-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-1-1-1-111-1-11111
χ1722222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ1822222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-11111-1-10000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-211-1-1-1-1110000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-111-1-1110000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-111-1-10000000000000000
χ2522-22-2-2-22200002i2i−2i−2i22-2-2-2-220000002i2i−2i−2i00000000000000000000002i−2i0000002-2
χ2622-22-2-2-22200002i2i−2i−2i22-2-2-2-220000002i2i−2i−2i0000000000000000000000−2i2i000000-22
χ2722-22-2-2-2220000−2i−2i2i2i22-2-2-2-22000000−2i−2i2i2i00000000000000000000002i−2i000000-22
χ2822-22-2-2-2220000−2i−2i2i2i22-2-2-2-22000000−2i−2i2i2i0000000000000000000000−2i2i0000002-2
χ2922-2-22-22-222i2i−2i−2i00002-222-2-2-2002i2i−2i−2i0000000000000000000000002i−2i002-2000000
χ3022-2-22-22-222i2i−2i−2i00002-222-2-2-2002i2i−2i−2i000000000000000000000000−2i2i00-22000000
χ3122-2-22-22-22−2i−2i2i2i00002-222-2-2-200−2i−2i2i2i0000000000000000000000002i−2i00-22000000
χ3222-2-22-22-22−2i−2i2i2i00002-222-2-2-200−2i−2i2i2i000000000000000000000000−2i2i002-2000000
χ332-222-2-22-222i−2i2i−2i2-22-2-222-22-2-22i−2i2i−2i2i−2i2-22-22i2i−2i−2i0000000000000000000000000000
χ342-222-2-22-222i−2i2i−2i-22-22-222-22-2-2−2i2i2i−2i2i−2i-22-22−2i−2i2i2i0000000000000000000000000000
χ352-222-2-22-22−2i2i−2i2i2-22-2-222-22-2-2−2i2i−2i2i−2i2i2-22-2−2i−2i2i2i0000000000000000000000000000
χ362-222-2-22-22−2i2i−2i2i-22-22-222-22-2-22i−2i−2i2i−2i2i-22-222i2i−2i−2i0000000000000000000000000000
χ372-222-2-22-2-12i−2i2i−2i2-22-21-1-11-1112i−2i−ii−ii-11-11−i−iii0000−i3i3−i3i33−33−30000000000000000
χ382-222-2-22-2-12i−2i2i−2i2-22-21-1-11-1112i−2i−ii−ii-11-11−i−iii0000i3−i3i3−i3−33−330000000000000000
χ392-222-2-22-2-12i−2i2i−2i-22-221-1-11-111−2i2i−ii−ii1-11-1ii−i−i0000−i3i3i3−i3−333−30000000000000000
χ402-222-2-22-2-12i−2i2i−2i-22-221-1-11-111−2i2i−ii−ii1-11-1ii−i−i0000i3−i3−i3i33−3−330000000000000000
χ412-222-2-22-2-1−2i2i−2i2i2-22-21-1-11-111−2i2ii−ii−i-11-11ii−i−i0000−i3i3−i3i3−33−330000000000000000
χ422-222-2-22-2-1−2i2i−2i2i2-22-21-1-11-111−2i2ii−ii−i-11-11ii−i−i0000i3−i3i3−i33−33−30000000000000000
χ432-222-2-22-2-1−2i2i−2i2i-22-221-1-11-1112i−2ii−ii−i1-11-1−i−iii0000−i3i3i3−i33−3−330000000000000000
χ442-222-2-22-2-1−2i2i−2i2i-22-221-1-11-1112i−2ii−ii−i1-11-1−i−iii0000i3−i3−i3i3−333−30000000000000000
χ452-2-2222-2-2200002i−2i−2i2i-22-22-22-20000002i−2i−2i2i0000000000000000002-20000002i−2i0000
χ462-2-2222-2-2200002i−2i−2i2i-22-22-22-20000002i−2i−2i2i000000000000000000-22000000−2i2i0000
χ472-2-2222-2-220000−2i2i2i−2i-22-22-22-2000000−2i2i2i−2i0000000000000000002-2000000−2i2i0000
χ482-2-2222-2-220000−2i2i2i−2i-22-22-22-2000000−2i2i2i−2i000000000000000000-220000002i−2i0000
χ492-2-2-2-222222-2-220000-2-22-2-222002-2-22000000000000000000002-200000000002-200
χ502-2-2-2-222222-2-220000-2-22-2-222002-2-2200000000000000000000-220000000000-2200
χ512-2-2-2-22222-222-20000-2-22-2-22200-222-2000000000000000000002-20000000000-2200
χ522-2-2-2-22222-222-20000-2-22-2-22200-222-200000000000000000000-2200000000002-200
χ53444-4-44-4-44000000004-4-4-444-4000000000000000000000000000000000000000000
χ54444-4-44-4-4-200000000-2222-2-22000000000023−2323−230000000000000000000000000000
χ55444-4-44-4-4-200000000-2222-2-220000000000−2323−23230000000000000000000000000000
χ5644-44-4-4-44-200004i4i−4i−4i-2-22222-2000000−2i−2i2i2i00000000000000000000000000000000
χ5744-44-4-4-44-20000−4i−4i4i4i-2-22222-20000002i2i−2i−2i00000000000000000000000000000000
χ5844-4-44-44-4-24i4i−4i−4i0000-22-2-222200−2i−2i2i2i000000000000000000000000000000000000
χ5944-4-44-44-4-2−4i−4i4i4i0000-22-2-2222002i2i−2i−2i000000000000000000000000000000000000
χ604-44-44-4-44400000000-4-4-444-44000000000000000000000000000000000000000000
χ614-44-44-4-44-200000000222-2-22-20000000000−2i32i32i3−2i30000000000000000000000000000
χ624-44-44-4-44-200000000222-2-22-200000000002i3−2i3−2i32i30000000000000000000000000000
χ634-4-4444-4-4-200004i−4i−4i4i2-22-22-22000000−2i2i2i−2i00000000000000000000000000000000
χ644-4-4444-4-4-20000−4i4i4i−4i2-22-22-220000002i−2i−2i2i00000000000000000000000000000000
χ654-4-4-4-4444-24-4-44000022-222-2-200-222-2000000000000000000000000000000000000
χ664-4-4-4-4444-2-444-4000022-222-2-2002-2-22000000000000000000000000000000000000

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