Finite Group Databasebeta

← Group #11714003

Character table — Group #11714003

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111224444446666888888881212121212121616161616161616161616164848484848484848
order1222442488882244366612121212248888661212242424242424242422448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1
χ411111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111
χ5111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-11-1
χ6111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11
χ7111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-11
χ8111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-111-1
χ92222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ11222222-2-222-2-22222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ12222222-2-2-2-2222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ132222-2-22-20000-2-2222222-2-2-2-2-22000022-2-20000000000000000
χ142222-2-22-20000-2-222-1-1-1-11111-220000-1-11133−3−333−3−300000000
χ152222-2-22-20000-2-222-1-1-1-11111-220000-1-111−3−333−3−33300000000
χ162222-2-2-220000-2-2222222-2-2-2-22-20000-2-2220000000000000000
χ172222-2-2-220000-2-222-1-1-1-111112-2000011-1-133−3−3−3−33300000000
χ182222-2-2-220000-2-222-1-1-1-111112-2000011-1-1−3−33333−3−300000000
χ1922-2-22-200002i−2i2-22-22-2-2222-2-200002i−2i000000002i−2i2i−2i00000000
χ2022-2-22-200002i−2i2-22-2-111-1-1-11100002i−2i−i3i3−i3i33−33−3−ii−ii00000000
χ2122-2-22-200002i−2i2-22-2-111-1-1-11100002i−2ii3−i3i3−i3−33−33−ii−ii00000000
χ2222-2-22-20000−2i2i2-22-22-2-2222-2-20000−2i2i00000000−2i2i−2i2i00000000
χ2322-2-22-20000−2i2i2-22-2-111-1-1-1110000−2i2i−i3i3−i3i3−33−33i−ii−i00000000
χ2422-2-22-20000−2i2i2-22-2-111-1-1-1110000−2i2ii3−i3i3−i33−33−3i−ii−i00000000
χ2522-2-2-22002-200-222-22-2-22-2-222002-20000002-2-22000000000000
χ2622-2-2-22002-200-222-2-111-111-1-1002-200−i3i3i3−i3-111-1−i3i3i3−i300000000
χ2722-2-2-22002-200-222-2-111-111-1-1002-200i3−i3−i3i3-111-1i3−i3−i3i300000000
χ2822-2-2-2200-2200-222-22-2-22-2-22200-22000000-222-2000000000000
χ2922-2-2-2200-2200-222-2-111-111-1-100-2200−i3i3i3−i31-1-11i3−i3−i3i300000000
χ3022-2-2-2200-2200-222-2-111-111-1-100-2200i3−i3−i3i31-1-11−i3i3i3−i300000000
χ31333333333333-1-1-1-100000000-1-1-1-1-1-10000000000001111-1-1-1-1
χ32333333333333-1-1-1-100000000-1-1-1-1-1-1000000000000-1-1-1-11111
χ3333333333-3-3-3-3-1-1-1-100000000-1-111110000000000001-11-1-1-111
χ3433333333-3-3-3-3-1-1-1-100000000-1-11111000000000000-11-1111-1-1
χ35333333-3-333-3-3-1-1-1-10000000011-1-11100000000000011-1-1-11-11
χ36333333-3-333-3-3-1-1-1-10000000011-1-111000000000000-1-1111-11-1
χ37333333-3-3-3-333-1-1-1-1000000001111-1-10000000000001-1-11-111-1
χ38333333-3-3-3-333-1-1-1-1000000001111-1-1000000000000-111-11-1-11
χ396666-6-66-6000022-2-2000000002-2000000000000000000000000
χ406666-6-6-66000022-2-200000000-22000000000000000000000000
χ4166-6-66-600006i−6i-22-22000000000000−2i2i00000000000000000000
χ4266-6-66-60000−6i6i-22-220000000000002i−2i00000000000000000000
χ4366-6-6-66006-6002-2-220000000000-220000000000000000000000
χ4466-6-6-6600-66002-2-2200000000002-20000000000000000000000
χ458-88-800000000000022-2-223−2323−2300000000000000000000000000
χ468-88-800000000000022-2-2−2323−232300000000000000000000000000
χ478-88-8000000000000-4-444000000000000000000000000000000
χ488-8-880000000000002-22-223−23−232300000000000000000000000000
χ498-8-880000000000002-22-2−232323−2300000000000000000000000000
χ508-8-88000000000000-44-44000000000000000000000000000000

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