Finite Group Databasebeta

← Group #75875

Character table — Group #75875

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order122222223444444446666666441212121212121212121212122444661212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ61111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ71111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ81111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-1111111-1-1-1-111-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-11111-1-1-1-1-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-111-1-1-1-1111111
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
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-211111111-1-1-1-12-2-22-1-1-1-111110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-211111111-1-1-1-1-222-21111-1-1-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-11111-1-10000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-22211-1-1-1-1110000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-1-1-111112-22-2-1-111-1-1110000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-1-1-11111-22-2211-1-111-1-10000000000000000
χ25222-2-2-2-22200002i2i−2i−2i2-222-2-2-2002i2i−2i−2i00000000000000000000000000002i−2i002-200
χ26222-2-2-2-22200002i2i−2i−2i2-222-2-2-2002i2i−2i−2i0000000000000000000000000000−2i2i00-2200
χ27222-2-2-2-2220000−2i−2i2i2i2-222-2-2-200−2i−2i2i2i00000000000000000000000000002i−2i00-2200
χ28222-2-2-2-2220000−2i−2i2i2i2-222-2-2-200−2i−2i2i2i0000000000000000000000000000−2i2i002-200
χ2922-2-2-222-222i2i−2i−2i00002-2-2-222-200000000002i2i−2i−2i000000000000002i−2i2-20000000000
χ3022-2-2-222-222i2i−2i−2i00002-2-2-222-200000000002i2i−2i−2i00000000000000−2i2i-220000000000
χ3122-2-2-222-22−2i−2i2i2i00002-2-2-222-20000000000−2i−2i2i2i000000000000002i−2i-220000000000
χ3222-2-2-222-22−2i−2i2i2i00002-2-2-222-20000000000−2i−2i2i2i00000000000000−2i2i2-20000000000
χ332-222-22-2-2200002-22-2-2-22-22-22002-22-2000000000000000000000000002i−2i0000002i−2i
χ342-222-22-2-2200002-22-2-2-22-22-22002-22-200000000000000000000000000−2i2i000000−2i2i
χ352-222-22-2-220000-22-22-2-22-22-2200-22-22000000000000000000000000002i−2i000000−2i2i
χ362-222-22-2-220000-22-22-2-22-22-2200-22-2200000000000000000000000000−2i2i0000002i−2i
χ372-22-22-22-222i−2i2i−2i2i−2i−2i2i-222-2-22-22-22i−2i−2i2i22-2-22i−2i2i−2i0000000000000000000000000000
χ382-22-22-22-222i−2i2i−2i−2i2i2i−2i-222-2-22-2-22−2i2i2i−2i-2-2222i−2i2i−2i0000000000000000000000000000
χ392-22-22-22-22−2i2i−2i2i2i−2i−2i2i-222-2-22-2-222i−2i−2i2i-2-222−2i2i−2i2i0000000000000000000000000000
χ402-22-22-22-22−2i2i−2i2i−2i2i2i−2i-222-2-22-22-2−2i2i2i−2i22-2-2−2i2i−2i2i0000000000000000000000000000
χ412-22-22-22-2-12i−2i2i−2i2i−2i−2i2i1-1-111-112-2−iii−i-1-111−ii−ii0000−i3i33−3−i3i33−30000000000000000
χ422-22-22-22-2-12i−2i2i−2i2i−2i−2i2i1-1-111-112-2−iii−i-1-111−ii−ii0000i3−i3−33i3−i3−330000000000000000
χ432-22-22-22-2-12i−2i2i−2i−2i2i2i−2i1-1-111-11-22i−i−ii11-1-1−ii−ii0000−i3i33−3i3−i3−330000000000000000
χ442-22-22-22-2-12i−2i2i−2i−2i2i2i−2i1-1-111-11-22i−i−ii11-1-1−ii−ii0000i3−i3−33−i3i33−30000000000000000
χ452-22-22-22-2-1−2i2i−2i2i2i−2i−2i2i1-1-111-11-22−iii−i11-1-1i−ii−i0000−i3i3−33i3−i33−30000000000000000
χ462-22-22-22-2-1−2i2i−2i2i2i−2i−2i2i1-1-111-11-22−iii−i11-1-1i−ii−i0000i3−i33−3−i3i3−330000000000000000
χ472-22-22-22-2-1−2i2i−2i2i−2i2i2i−2i1-1-111-112-2i−i−ii-1-111i−ii−i0000−i3i3−33−i3i3−330000000000000000
χ482-22-22-22-2-1−2i2i−2i2i−2i2i2i−2i1-1-111-112-2i−i−ii-1-111i−ii−i0000i3−i33−3i3−i33−30000000000000000
χ492-2-22-2-22222-2-220000-2-2-22-22200000000002-2-220000000000002-2000000002-20000
χ502-2-22-2-22222-2-220000-2-2-22-22200000000002-2-22000000000000-2200000000-220000
χ512-2-22-2-2222-222-20000-2-2-22-2220000000000-222-20000000000002-200000000-220000
χ522-2-22-2-2222-222-20000-2-2-22-2220000000000-222-2000000000000-22000000002-20000
χ53444-4-4-4-44-200004i4i−4i−4i-22-2-222200−2i−2i2i2i000000000000000000000000000000000000
χ54444-4-4-4-44-20000−4i−4i4i4i-22-2-2222002i2i−2i−2i000000000000000000000000000000000000
χ5544-444-4-4-440000000044-4-4-4-44000000000000000000000000000000000000000000
χ5644-444-4-4-4-200000000-2-22222-200000023−2323−2300000000000000000000000000000000
χ5744-444-4-4-4-200000000-2-22222-2000000−2323−232300000000000000000000000000000000
χ5844-4-4-444-4-24i4i−4i−4i0000-2222-2-220000000000−2i−2i2i2i0000000000000000000000000000
χ5944-4-4-444-4-2−4i−4i4i4i0000-2222-2-2200000000002i2i−2i−2i0000000000000000000000000000
χ604-444-44-4-4-200004-44-422-22-22-200-22-22000000000000000000000000000000000000
χ614-444-44-4-4-20000-44-4422-22-22-2002-22-2000000000000000000000000000000000000
χ624-4-44-4-444-24-4-440000222-22-2-20000000000-222-20000000000000000000000000000
χ634-4-44-4-444-2-444-40000222-22-2-200000000002-2-220000000000000000000000000000
χ644-4-4-444-44400000000-44-444-4-4000000000000000000000000000000000000000000
χ654-4-4-444-44-2000000002-22-2-22200000023−23−232300000000000000000000000000000000
χ664-4-4-444-44-2000000002-22-2-222000000−232323−2300000000000000000000000000000000

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