Finite Group Databasebeta

← Group #11714076

Character table — Group #11714076

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111224444446666888888881212121212121616161616161616161616164848484848484848
order122244448888224436661212121244888812121212242424242424242444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-11-11-1
χ6111111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-11-11
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
χ132222-2-22-20000-2-2222222-2-2-2-22-2000022-2-20000000000000000
χ142222-2-22-20000-2-222-1-1-1-111112-20000-1-11133−3−333−3−300000000
χ152222-2-22-20000-2-222-1-1-1-111112-20000-1-111−3−333−3−33300000000
χ162222-2-2-220000-2-2222222-2-2-2-2-220000-2-2220000000000000000
χ172222-2-2-220000-2-222-1-1-1-11111-22000011-1-133−3−3−3−33300000000
χ182222-2-2-220000-2-222-1-1-1-11111-22000011-1-1−3−33333−3−300000000
χ192-2-222-200002i−2i2-22-222-2-222-2-200002i−2i000000002i−2i2i−2i00000000
χ202-2-222-200002i−2i2-22-2-1-111-1-11100002i−2i3−33−3−i3i3−i3i3−ii−ii00000000
χ212-2-222-200002i−2i2-22-2-1-111-1-11100002i−2i−33−33i3−i3i3−i3−ii−ii00000000
χ222-2-222-20000−2i2i2-22-222-2-222-2-20000−2i2i00000000−2i2i−2i2i00000000
χ232-2-222-20000−2i2i2-22-2-1-111-1-1110000−2i2i3−33−3i3−i3i3−i3i−ii−i00000000
χ242-2-222-20000−2i2i2-22-2-1-111-1-1110000−2i2i−33−33−i3i3−i3i3i−ii−i00000000
χ252-2-22-22002i−2i00-222-222-2-2-2-222002i−2i0000002i−2i−2i2i000000000000
χ262-2-22-22002i−2i00-222-2-1-11111-1-1002i−2i003−3−33−iii−ii3−i3−i3i300000000
χ272-2-22-22002i−2i00-222-2-1-11111-1-1002i−2i00−333−3−iii−i−i3i3i3−i300000000
χ282-2-22-2200−2i2i00-222-222-2-2-2-22200−2i2i000000−2i2i2i−2i000000000000
χ292-2-22-2200−2i2i00-222-2-1-11111-1-100−2i2i003−3−33i−i−ii−i3i3i3−i300000000
χ302-2-22-2200−2i2i00-222-2-1-11111-1-100−2i2i00−333−3i−i−iii3−i3−i3i300000000
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
χ3333333333-3-3-3-3-1-1-1-100000000-1-1111100000000000011-1-1-1-111
χ3433333333-3-3-3-3-1-1-1-100000000-1-11111000000000000-1-11111-1-1
χ35333333-3-333-3-3-1-1-1-10000000011-1-1110000000000001-11-1-11-11
χ36333333-3-333-3-3-1-1-1-10000000011-1-111000000000000-11-111-11-1
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
χ396666-6-66-6000022-2-200000000-22000000000000000000000000
χ406666-6-6-66000022-2-2000000002-2000000000000000000000000
χ416-6-666-600006i−6i-22-22000000000000−2i2i00000000000000000000
χ426-6-666-60000−6i6i-22-220000000000002i−2i00000000000000000000
χ436-6-66-66006i−6i002-2-220000000000−2i2i0000000000000000000000
χ446-6-66-6600−6i6i002-2-2200000000002i−2i0000000000000000000000
χ4588-8-80000000000002-22-223−2323−2300000000000000000000000000
χ4688-8-80000000000002-22-2−2323−232300000000000000000000000000
χ4788-8-8000000000000-44-44000000000000000000000000000000
χ488-88-80000000000002-2-2223−23−232300000000000000000000000000
χ498-88-80000000000002-2-22−232323−2300000000000000000000000000
χ508-88-8000000000000-444-4000000000000000000000000000000

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