Finite Group Databasebeta

← Group #74613

Character table — Group #74613

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order1222222234444444466666662266661212121212121212444412121212121212122222444444444444
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
χ51111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ61111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1
χ81111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11111-1-111-1-1-1-111-1-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-1-1-111-1-11111-1-111
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-1-1-1-1-1-1-1111111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-111111111-1-1-1-1-1-1
χ13111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ15111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ16111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
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
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-12-22-2-1-111-1-1110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-1-22-2211-1-111-1-10000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1111111112-2-22-1-11111-1-10000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-1-1-111111111-222-211-1-1-1-1110000000000000000
χ2522-2-2-222-222i2i−2i−2i2i2i−2i−2i2-2-222-2-22-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ2622-2-2-222-222i2i−2i−2i−2i−2i2i2i2-2-222-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ2722-2-2-222-22−2i−2i2i2i2i2i−2i−2i2-2-222-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ2822-2-2-222-22−2i−2i2i2i−2i−2i2i2i2-2-222-2-22-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ2922-2-2-222-2-12i2i−2i−2i2i2i−2i−2i-111-1-1112-2-1-111−i−iii−i−iii00003−3−i3i3−i3i33−30000000000000000
χ3022-2-2-222-2-12i2i−2i−2i2i2i−2i−2i-111-1-1112-2-1-111−i−iii−i−iii0000−33i3−i3i3−i3−330000000000000000
χ3122-2-2-222-2-12i2i−2i−2i−2i−2i2i2i-111-1-111-2211-1-1−i−iiiii−i−i00003−3−i3i3i3−i3−330000000000000000
χ3222-2-2-222-2-12i2i−2i−2i−2i−2i2i2i-111-1-111-2211-1-1−i−iiiii−i−i0000−33i3−i3−i3i33−30000000000000000
χ3322-2-2-222-2-1−2i−2i2i2i2i2i−2i−2i-111-1-111-2211-1-1ii−i−i−i−iii00003−3i3−i3−i3i3−330000000000000000
χ3422-2-2-222-2-1−2i−2i2i2i2i2i−2i−2i-111-1-111-2211-1-1ii−i−i−i−iii0000−33−i3i3i3−i33−30000000000000000
χ3522-2-2-222-2-1−2i−2i2i2i−2i−2i2i2i-111-1-1112-2-1-111ii−i−iii−i−i00003−3i3−i3i3−i33−30000000000000000
χ3622-2-2-222-2-1−2i−2i2i2i−2i−2i2i2i-111-1-1112-2-1-111ii−i−iii−i−i0000−33−i3i3−i3i3−330000000000000000
χ372-222-22-2-2200002i−2i2i−2i-22-22-22-200000000002i−2i2i−2i000000000000002-2002i−2i00000000
χ382-222-22-2-2200002i−2i2i−2i-22-22-22-200000000002i−2i2i−2i00000000000000-2200−2i2i00000000
χ392-222-22-2-220000−2i2i−2i2i-22-22-22-20000000000−2i2i−2i2i000000000000002-200−2i2i00000000
χ402-222-22-2-220000−2i2i−2i2i-22-22-22-20000000000−2i2i−2i2i00000000000000-22002i−2i00000000
χ412-22-22-22-222i−2i2i−2i0000-2-22-222-20000002i−2i2i−2i00000000000000002-2002i−2i0000000000
χ422-22-22-22-222i−2i2i−2i0000-2-22-222-20000002i−2i2i−2i0000000000000000-2200−2i2i0000000000
χ432-22-22-22-22−2i2i−2i2i0000-2-22-222-2000000−2i2i−2i2i00000000000000002-200−2i2i0000000000
χ442-22-22-22-22−2i2i−2i2i0000-2-22-222-2000000−2i2i−2i2i0000000000000000-22002i−2i0000000000
χ452-2-22-2-22222-2-220000-22-2-22-220000002-2-220000000000000000000000002-2002-200
χ462-2-22-2-22222-2-220000-22-2-22-220000002-2-22000000000000000000000000-2200-2200
χ472-2-22-2-2222-222-20000-22-2-22-22000000-222-20000000000000000000000002-200-2200
χ482-2-22-2-2222-222-20000-22-2-22-22000000-222-2000000000000000000000000-22002-200
χ492-2-2-222-22200002-2-22-2-222-2-2200000000002-2-2200000000000000000000002-2002-2
χ502-2-2-222-22200002-2-22-2-222-2-2200000000002-2-220000000000000000000000-2200-22
χ512-2-2-222-2220000-222-2-2-222-2-220000000000-222-200000000000000000000002-200-22
χ522-2-2-222-2220000-222-2-2-222-2-220000000000-222-20000000000000000000000-22002-2
χ53444-4-4-4-444000000004-4-4-4-444000000000000000000000000000000000000000000
χ54444-4-4-4-44-200000000-22222-2-200−2i32i3−2i32i3000000000000000000000000000000000000
χ55444-4-4-4-44-200000000-22222-2-2002i3−2i32i3−2i3000000000000000000000000000000000000
χ5644-444-4-4-4400000000444-4-4-4-4000000000000000000000000000000000000000000
χ5744-444-4-4-4-200000000-2-2-2222200−2i32i32i3−2i3000000000000000000000000000000000000
χ5844-444-4-4-4-200000000-2-2-22222002i3−2i3−2i32i3000000000000000000000000000000000000
χ594-444-44-4-4-200004i−4i4i−4i2-22-22-220000000000−2i2i−2i2i0000000000000000000000000000
χ604-444-44-4-4-20000−4i4i−4i4i2-22-22-2200000000002i−2i2i−2i0000000000000000000000000000
χ614-44-44-44-4-24i−4i4i−4i000022-22-2-22000000−2i2i−2i2i00000000000000000000000000000000
χ624-44-44-44-4-2−4i4i−4i4i000022-22-2-220000002i−2i2i−2i00000000000000000000000000000000
χ634-4-44-4-444-24-4-4400002-222-22-2000000-222-200000000000000000000000000000000
χ644-4-44-4-444-2-444-400002-222-22-20000002-2-2200000000000000000000000000000000
χ654-4-4-444-44-200004-4-4422-2-222-20000000000-222-20000000000000000000000000000
χ664-4-4-444-44-20000-444-422-2-222-200000000002-2-220000000000000000000000000000

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