Finite Group Databasebeta

← Group #11714031

Character table — Group #11714031

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444466668888888812121212121216161616161616161616161624242424484848484848
order12224444224442244366612121212444444666612121212121212124444448888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ411111111-1-1-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ511111-1-1111-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11-11-11-1
χ611111-1-1111-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-11
χ711111-1-11-1-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-111-1-11
χ811111-1-11-1-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-1-111-1
χ922222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1022222222-2-2-2-222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000
χ1122222-2-2222-2-2-22222-1-1-1-1111122-2-2-2-2-1-1-1-1-1-11111110000000000
χ1222222-2-22-2-222-22222-1-1-1-11111-2-2-2-2221111-1-111-1-1-1-10000000000
χ132222-222-20000-2-2-2222222222200-22000000-2-2-2-200000000000000
χ142222-222-20000-2-2-222-1-1-1-1-1-1-1-100-2200−i3−i3i3i31111−i3−i3i3i30000000000
χ152222-222-20000-2-2-222-1-1-1-1-1-1-1-100-2200i3i3−i3−i31111i3i3−i3−i30000000000
χ162222-2-2-2-200002-2-2222222-2-2-2-2002-2000000-2-22200000000000000
χ172222-2-2-2-200002-2-222-1-1-1-11111002-200−i3−i3i3i311-1-1i3i3−i3−i30000000000
χ182222-2-2-2-200002-2-222-1-1-1-11111002-200i3i3−i3−i311-1-1−i3−i3i3i30000000000
χ1922-2-2200-22-20002-22-222-2-200002-200002-22-22-20000000000000000
χ2022-2-2200-22-20002-22-2-1-11133−3−32-20000-11-11-113−33−33−30000000000
χ2122-2-2200-22-20002-22-2-1-111−3−3332-20000-11-11-11−33−33−330000000000
χ2222-2-2200-2-220002-22-222-2-20000-220000-22-222-20000000000000000
χ2322-2-2200-2-220002-22-2-1-11133−3−3-2200001-11-1-113−3−33−330000000000
χ2422-2-2200-2-220002-22-2-1-111−3−333-2200001-11-1-11−333−33−30000000000
χ2522-2-2-2002002i−2i0-222-222-2-2000000002i−2i0000-22002i−2i−2i2i0000000000
χ2622-2-2-2002002i−2i0-222-2-1-11133−3−300002i−2i−i3i3i3−i31-1−33−iii−i0000000000
χ2722-2-2-2002002i−2i0-222-2-1-111−3−33300002i−2ii3−i3−i3i31-13−3−iii−i0000000000
χ2822-2-2-200200−2i2i0-222-222-2-200000000−2i2i0000-2200−2i2i2i−2i0000000000
χ2922-2-2-200200−2i2i0-222-2-1-11133−3−30000−2i2ii3−i3−i3i31-1−33i−i−ii0000000000
χ3022-2-2-200200−2i2i0-222-2-1-111−3−3330000−2i2i−i3i3i3−i31-13−3i−i−ii0000000000
χ313333333333333-1-1-1-100000000-1-1-1-1-1-10000000000001111-1-1-1-111
χ323333333333333-1-1-1-100000000-1-1-1-1-1-1000000000000-1-1-1-11111-1-1
χ3333333333-3-3-3-33-1-1-1-10000000011-1-111000000000000111111-1-1-1-1
χ3433333333-3-3-3-33-1-1-1-10000000011-1-111000000000000-1-1-1-1-1-11111
χ3533333-3-3333-3-3-3-1-1-1-100000000-1-1111100000000000011-1-1-11-111-1
χ3633333-3-3333-3-3-3-1-1-1-100000000-1-11111000000000000-1-1111-11-1-11
χ3733333-3-33-3-333-3-1-1-1-1000000001111-1-100000000000011-1-11-1-11-11
χ3833333-3-33-3-333-3-1-1-1-1000000001111-1-1000000000000-1-111-111-11-1
χ394-4-4404i−4i0000000000-22-222i−2i2i−2i0000000000000000002-22i−2i000000
χ404-4-4404i−4i0000000000-22-222i−2i2i−2i000000000000000000-22−2i2i000000
χ414-4-440−4i4i0000000000-22-22−2i2i−2i2i0000000000000000002-2−2i2i000000
χ424-4-440−4i4i0000000000-22-22−2i2i−2i2i000000000000000000-222i−2i000000
χ436666-666-60000-622-2-200000000002-2000000000000000000000000
χ446666-6-6-6-60000622-2-20000000000-22000000000000000000000000
χ4566-6-6600-66-6000-22-2200000000-2200000000000000000000000000
χ4666-6-6600-6-66000-22-22000000002-200000000000000000000000000
χ4766-6-6-6006006i−6i02-2-22000000000000−2i2i0000000000000000000000
χ4866-6-6-600600−6i6i02-2-220000000000002i−2i0000000000000000000000
χ498-88-800000000000002-2-22−2i32i32i3−2i30000000000000000000000000000
χ508-88-800000000000002-2-222i3−2i3−2i32i30000000000000000000000000000
χ518-88-80000000000000-444-400000000000000000000000000000000
χ528-8-8808i−8i00000000002-22-2−2i2i−2i2i0000000000000000000000000000
χ538-8-880−8i8i00000000002-22-22i−2i2i−2i0000000000000000000000000000

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