Finite Group Databasebeta

← Group #11713984

Character table — Group #11713984

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444466668888888812121212121216161616161616161616161624242424484848484848
order122244444444422443666121212122244441212121212121212121212124444228888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ4111111111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111-1-11-111-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11-11-11-1
χ611111-1-11-111-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-11-11-11
χ711111-1-11-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-11
χ811111-1-11-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-111-1
χ922222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ10222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1111111110000000000
χ1122222-2-22-222-2-22222-1-1-1-1111122-2-2-2-2-1-111-1-1-1-111110000000000
χ1222222-2-22-2-2-2222222-1-1-1-11111-2-2-2-222-1-1111111-1-1-1-10000000000
χ132222-222-2-20000-2-22222222222002-200-2-2-2-2000000000000000000
χ142222-222-2-20000-2-222-1-1-1-1-1-1-1-1002-2001111−i3−i3i3i3−i3−i3i3i30000000000
χ152222-222-2-20000-2-222-1-1-1-1-1-1-1-1002-2001111i3i3−i3−i3i3i3−i3−i30000000000
χ162222-2-2-2-220000-2-2222222-2-2-2-200-2200-2-222000000000000000000
χ172222-2-2-2-220000-2-222-1-1-1-1111100-220011-1-1−i3−i3i3i3i3i3−i3−i30000000000
χ182222-2-2-2-220000-2-222-1-1-1-1111100-220011-1-1i3i3−i3−i3−i3−i3i3i30000000000
χ1922-2-2200-20002i−2i2-2-222-22-2000000002i−2i2-20000002i−2i2i−2i0000000000
χ2022-2-2200-20002i−2i2-2-22-11-1133−3−300002i−2i-113−3−i3i3−i3i3−ii−ii0000000000
χ2122-2-2200-20002i−2i2-2-22-11-11−3−33300002i−2i-11−33i3−i3i3−i3−ii−ii0000000000
χ2222-2-2200-2000−2i2i2-2-222-22-200000000−2i2i2-2000000−2i2i−2i2i0000000000
χ2322-2-2200-2000−2i2i2-2-22-11-1133−3−30000−2i2i-113−3i3−i3i3−i3i−ii−i0000000000
χ2422-2-2200-2000−2i2i2-2-22-11-11−3−3330000−2i2i-11−33−i3i3−i3i3i−ii−i0000000000
χ2522-2-2-200202-200-22-222-22-200002-20000-22002-2-2200000000000000
χ2622-2-2-200202-200-22-22-11-1133−3−32-200001-1−33-111-13−3−330000000000
χ2722-2-2-200202-200-22-22-11-11−3−3332-200001-13−3-111-1−333−30000000000
χ2822-2-2-20020-2200-22-222-22-20000-220000-2200-222-200000000000000
χ2922-2-2-20020-2200-22-22-11-1133−3−3-2200001-1−331-1-11−333−30000000000
χ3022-2-2-20020-2200-22-22-11-11−3−333-2200001-13−31-1-113−3−330000000000
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
χ33333333333-3-3-3-3-1-1-1-10000000011-1-111000000000000111111-1-1-1-1
χ34333333333-3-3-3-3-1-1-1-10000000011-1-111000000000000-1-1-1-1-1-11111
χ3533333-3-33-333-3-3-1-1-1-100000000-1-1111100000000000011-1-1-11-111-1
χ3633333-3-33-333-3-3-1-1-1-100000000-1-11111000000000000-1-1111-11-1-11
χ3733333-3-33-3-3-333-1-1-1-1000000001111-1-100000000000011-1-11-1-11-11
χ3833333-3-33-3-3-333-1-1-1-1000000001111-1-1000000000000-1-111-111-11-1
χ394-4-4404-40000000000-2-2222-22-20000000000000000002-22-2000000
χ404-4-4404-40000000000-2-2222-22-2000000000000000000-22-22000000
χ414-4-440-440000000000-2-222-22-220000000000000000002-2-22000000
χ424-4-440-440000000000-2-222-22-22000000000000000000-222-2000000
χ436666-666-6-6000022-2-20000000000-22000000000000000000000000
χ446666-6-6-6-66000022-2-200000000002-2000000000000000000000000
χ4566-6-6600-60006i−6i-222-2000000000000−2i2i0000000000000000000000
χ4666-6-6600-6000−6i6i-222-20000000000002i−2i0000000000000000000000
χ4766-6-6-600606-6002-22-200000000-2200000000000000000000000000
χ4866-6-6-60060-66002-22-2000000002-200000000000000000000000000
χ498-88-800000000000002-2-2223−23−23230000000000000000000000000000
χ508-88-800000000000002-2-22−232323−230000000000000000000000000000
χ518-88-80000000000000-444-400000000000000000000000000000000
χ528-8-8808-8000000000022-2-2-22-220000000000000000000000000000
χ538-8-880-88000000000022-2-22-22-20000000000000000000000000000

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