Finite Group Databasebeta

← Group #75563

Character table — Group #75563

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order122222223444444446666666441212121212121212121212122444661212121212124444444444444444
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
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-111
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-111111111-1-111-1-1-1-1-1-111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-111-1-111-1-1-1-1-1-11111
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-1
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-11111-1-1111111-1-1-1-1-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-1-111-1-1-1-1-1-1111111
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
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-11111-1-10000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-22211-1-1-1-1110000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-12-22-2-1-1-1-111110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-1-22-221111-1-1-1-10000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-1-1-111112-2-22-1-111-1-1110000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-1-1-11111-222-211-1-111-1-10000000000000000
χ2522-2-22-2-2222i2i−2i−2i2i2i−2i−2i2-222-2-2-22-22i2i−2i−2i22-2-22i2i−2i−2i0000000000000000000000000000
χ2622-2-22-2-2222i2i−2i−2i−2i−2i2i2i2-222-2-2-2-222i2i−2i−2i-2-222−2i−2i2i2i0000000000000000000000000000
χ2722-2-22-2-222−2i−2i2i2i2i2i−2i−2i2-222-2-2-2-22−2i−2i2i2i-2-2222i2i−2i−2i0000000000000000000000000000
χ2822-2-22-2-222−2i−2i2i2i−2i−2i2i2i2-222-2-2-22-2−2i−2i2i2i22-2-2−2i−2i2i2i0000000000000000000000000000
χ2922-2-22-2-22-12i2i−2i−2i2i2i−2i−2i-11-1-11112-2−i−iii-1-111−i−iii0000−i3i33−3−i3i33−30000000000000000
χ3022-2-22-2-22-12i2i−2i−2i2i2i−2i−2i-11-1-11112-2−i−iii-1-111−i−iii0000i3−i3−33i3−i3−330000000000000000
χ3122-2-22-2-22-12i2i−2i−2i−2i−2i2i2i-11-1-1111-22−i−iii11-1-1ii−i−i0000−i3i3−33i3−i33−30000000000000000
χ3222-2-22-2-22-12i2i−2i−2i−2i−2i2i2i-11-1-1111-22−i−iii11-1-1ii−i−i0000i3−i33−3−i3i3−330000000000000000
χ3322-2-22-2-22-1−2i−2i2i2i2i2i−2i−2i-11-1-1111-22ii−i−i11-1-1−i−iii0000−i3i33−3i3−i3−330000000000000000
χ3422-2-22-2-22-1−2i−2i2i2i2i2i−2i−2i-11-1-1111-22ii−i−i11-1-1−i−iii0000i3−i3−33−i3i33−30000000000000000
χ3522-2-22-2-22-1−2i−2i2i2i−2i−2i2i2i-11-1-11112-2ii−i−i-1-111ii−i−i0000−i3i3−33−i3i3−330000000000000000
χ3622-2-22-2-22-1−2i−2i2i2i−2i−2i2i2i-11-1-11112-2ii−i−i-1-111ii−i−i0000i3−i33−3i3−i33−30000000000000000
χ372-222-2-2-22200002i−2i2i−2i-222-22-2-200000000002i−2i2i−2i0000000000002-22i−2i000000000000
χ382-222-2-2-22200002i−2i2i−2i-222-22-2-200000000002i−2i2i−2i000000000000-22−2i2i000000000000
χ392-222-2-2-2220000−2i2i−2i2i-222-22-2-20000000000−2i2i−2i2i0000000000002-2−2i2i000000000000
χ402-222-2-2-2220000−2i2i−2i2i-222-22-2-20000000000−2i2i−2i2i000000000000-222i−2i000000000000
χ412-22-222-2-222-22-20000-2-2-222-22002-22-2000000000000000000000000002i−2i00002i−2i00
χ422-22-222-2-222-22-20000-2-2-222-22002-22-200000000000000000000000000−2i2i0000−2i2i00
χ432-22-222-2-22-22-220000-2-2-222-2200-22-22000000000000000000000000002i−2i0000−2i2i00
χ442-22-222-2-22-22-220000-2-2-222-2200-22-2200000000000000000000000000−2i2i00002i−2i00
χ452-2-222-22-222i−2i−2i2i0000-22-22-22-2002i−2i−2i2i00000000000000000000000000002-200002i−2i
χ462-2-222-22-222i−2i−2i2i0000-22-22-22-2002i−2i−2i2i0000000000000000000000000000-220000−2i2i
χ472-2-222-22-22−2i2i2i−2i0000-22-22-22-200−2i2i2i−2i00000000000000000000000000002-20000−2i2i
χ482-2-222-22-22−2i2i2i−2i0000-22-22-22-200−2i2i2i−2i0000000000000000000000000000-2200002i−2i
χ492-2-2-2-2222200002-2-22-2-22-2-22200000000002-2-2200000000000000002-200002-20000
χ502-2-2-2-2222200002-2-22-2-22-2-22200000000002-2-220000000000000000-220000-220000
χ512-2-2-2-222220000-222-2-2-22-2-2220000000000-222-200000000000000002-20000-220000
χ522-2-2-2-222220000-222-2-2-22-2-2220000000000-222-20000000000000000-2200002-20000
χ53444-4-4-44-44000000004-4-4-444-4000000000000000000000000000000000000000000
χ54444-4-4-44-4-200000000-2222-2-2200000023−2323−2300000000000000000000000000000000
χ55444-4-4-44-4-200000000-2222-2-22000000−2323−232300000000000000000000000000000000
χ5644-44-44-4-440000000044-4-4-4-44000000000000000000000000000000000000000000
χ5744-44-44-4-4-200000000-2-22222-200000023−23−232300000000000000000000000000000000
χ5844-44-44-4-4-200000000-2-22222-2000000−232323−2300000000000000000000000000000000
χ594-444-4-4-44-200004i−4i4i−4i2-2-22-2220000000000−2i2i−2i2i0000000000000000000000000000
χ604-444-4-4-44-20000−4i4i−4i4i2-2-22-22200000000002i−2i2i−2i0000000000000000000000000000
χ614-44-444-4-4-24-44-40000222-2-22-200-22-22000000000000000000000000000000000000
χ624-44-444-4-4-2-44-440000222-2-22-2002-22-2000000000000000000000000000000000000
χ634-4-444-44-4-24i−4i−4i4i00002-22-22-2200−2i2i2i−2i000000000000000000000000000000000000
χ644-4-444-44-4-2−4i4i4i−4i00002-22-22-22002i−2i−2i2i000000000000000000000000000000000000
χ654-4-4-4-4444-200004-4-4422-222-2-20000000000-222-20000000000000000000000000000
χ664-4-4-4-4444-20000-444-422-222-2-200000000002-2-220000000000000000000000000000

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