Finite Group Databasebeta

← Group #11714040

Character table — Group #11714040

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444466668888888812121212121216161616161616161616161624242424484848484848
order1222444424444224436661212121224444466121212121212121212124444248888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ4111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111-1-111-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11-11-11-1
χ61111-1-111-111-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-11-11-11
χ71111-1-111-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-111-1-11
χ81111-1-111-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111-1-111-1
χ922222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ10222222222-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000
χ11222222-2-2-20000-2-222222222222-20000-2-2-2-2000000000000000000
χ12222222-2-2-20000-2-222-1-1-1-1-1-1-1-12-200001111−i3−i3i3i3−i3−i3i3i30000000000
χ13222222-2-2-20000-2-222-1-1-1-1-1-1-1-12-200001111i3i3−i3−i3i3i3−i3−i30000000000
χ142222-2-222-222-2-22222-1-1-1-11111-2-2-2-22211-1-1-1-1-1-111110000000000
χ152222-2-222-2-2-2222222-1-1-1-11111-2-222-2-211-1-11111-1-1-1-10000000000
χ162222-2-2-2-220000-2-2222222-2-2-2-2-22000022-2-2000000000000000000
χ172222-2-2-2-220000-2-222-1-1-1-11111-220000-1-111−i3−i3i3i3i3i3−i3−i30000000000
χ182222-2-2-2-220000-2-222-1-1-1-11111-220000-1-111i3i3−i3−i3−i3−i3i3i30000000000
χ1922-2-2002-20002i−2i2-22-222-2-20000002i−2i00002-200002i−2i2i−2i0000000000
χ2022-2-2002-20002i−2i2-22-2-1-111−i3−i3i3i3002i−2i00−i3i3-113−33−3−ii−ii0000000000
χ2122-2-2002-20002i−2i2-22-2-1-111i3i3−i3−i3002i−2i00i3−i3-11−33−33−ii−ii0000000000
χ2222-2-2002-2000−2i2i2-22-222-2-2000000−2i2i00002-20000−2i2i−2i2i0000000000
χ2322-2-2002-2000−2i2i2-22-2-1-111−i3−i3i3i300−2i2i00−i3i3-11−33−33i−ii−i0000000000
χ2422-2-2002-2000−2i2i2-22-2-1-111i3i3−i3−i300−2i2i00i3−i3-113−33−3i−ii−i0000000000
χ2522-2-200-2202i−2i00-222-222-2-2000000002i−2i00-222i−2i−2i2i00000000000000
χ2622-2-200-2202i−2i00-222-2-1-111−i3−i3i3i300002i−2ii3−i31-1−iii−i3−3−330000000000
χ2722-2-200-2202i−2i00-222-2-1-111i3i3−i3−i300002i−2i−i3i31-1−iii−i−333−30000000000
χ2822-2-200-220−2i2i00-222-222-2-200000000−2i2i00-22−2i2i2i−2i00000000000000
χ2922-2-200-220−2i2i00-222-2-1-111−i3−i3i3i30000−2i2ii3−i31-1i−i−ii−333−30000000000
χ3022-2-200-220−2i2i00-222-2-1-111i3i3−i3−i30000−2i2i−i3i31-1i−i−ii3−3−330000000000
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
χ33333333333-3-3-3-3-1-1-1-100000000-1-11111000000000000111111-1-1-1-1
χ34333333333-3-3-3-3-1-1-1-100000000-1-11111000000000000-1-1-1-1-1-11111
χ353333-3-333-333-3-3-1-1-1-1000000001111-1-100000000000011-1-1-11-111-1
χ363333-3-333-333-3-3-1-1-1-1000000001111-1-1000000000000-1-1111-11-1-11
χ373333-3-333-3-3-333-1-1-1-10000000011-1-11100000000000011-1-11-1-11-11
χ383333-3-333-3-3-333-1-1-1-10000000011-1-111000000000000-1-111-111-11-1
χ394-44-44i−4i00000000000-222-22i−2i2i−2i0000000000000000002i−2i2-2000000
χ404-44-44i−4i00000000000-222-22i−2i2i−2i000000000000000000−2i2i-22000000
χ414-44-4−4i4i00000000000-222-2−2i2i−2i2i0000000000000000002i−2i-22000000
χ424-44-4−4i4i00000000000-222-2−2i2i−2i2i000000000000000000−2i2i2-2000000
χ43666666-6-6-6000022-2-200000000-2200000000000000000000000000
χ446666-6-6-6-66000022-2-2000000002-200000000000000000000000000
χ4566-6-6006-60006i−6i-22-220000000000−2i2i000000000000000000000000
χ4666-6-6006-6000−6i6i-22-2200000000002i−2i000000000000000000000000
χ4766-6-600-6606i−6i002-2-22000000000000−2i2i0000000000000000000000
χ4866-6-600-660−6i6i002-2-220000000000002i−2i0000000000000000000000
χ498-88-88i−8i000000000002-2-22−2i2i−2i2i0000000000000000000000000000
χ508-88-8−8i8i000000000002-2-222i−2i2i−2i0000000000000000000000000000
χ518-8-8800000000000002-22-223−23−23230000000000000000000000000000
χ528-8-8800000000000002-22-2−232323−230000000000000000000000000000
χ538-8-880000000000000-44-4400000000000000000000000000000000

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