Finite Group Databasebeta

← Group #11714029

Character table — Group #11714029

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444466668888888812121212121216161616161616161616161624242424484848484848
order12224444224442244366612121212444444666612121212121212124444448888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ411111111-1-1-1-111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ51111-1-11111-1-1-111111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-11-11-11-1
χ61111-1-11111-1-1-111111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111-11-11-11
χ71111-1-111-1-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-111-1-11
χ81111-1-111-1-111-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-1-111-1
χ922222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1022222222-2-2-2-222222-1-1-1-1-1-1-1-12-2-22-2-21111-1-1-1-111110000000000
χ11222222-2-20000-2-2-22222222222-2002000000-2-2-2-200000000000000
χ12222222-2-20000-2-2-222-1-1-1-1-1-1-1-1-200200−i3−i3i3i31111−i3−i3i3i30000000000
χ13222222-2-20000-2-2-222-1-1-1-1-1-1-1-1-200200i3i3−i3−i31111i3i3−i3−i30000000000
χ142222-2-22222-2-2-22222-1-1-1-11111-222-2-2-2-1-1-1-1-1-11111110000000000
χ152222-2-222-2-222-22222-1-1-1-11111-2-2-2-2221111-1-111-1-1-1-10000000000
χ162222-2-2-2-200002-2-2222222-2-2-2-2200-2000000-2-22200000000000000
χ172222-2-2-2-200002-2-222-1-1-1-11111200-200−i3−i3i3i311-1-1i3i3−i3−i30000000000
χ182222-2-2-2-200002-2-222-1-1-1-11111200-200i3i3−i3−i311-1-1−i3−i3i3i30000000000
χ192-22-2002-22-20002-22-222-2-2000002-20002-22-22-20000000000000000
χ202-22-2002-22-20002-22-2-1-11133−3−302-2000-11-11-113−33−33−30000000000
χ212-22-2002-22-20002-22-2-1-111−3−33302-2000-11-11-11−33−33−330000000000
χ222-22-2002-2-220002-22-222-2-200000-22000-22-222-20000000000000000
χ232-22-2002-2-220002-22-2-1-11133−3−30-220001-11-1-113−3−33−330000000000
χ242-22-2002-2-220002-22-2-1-111−3−3330-220001-11-1-11−333−33−30000000000
χ252-22-200-22002i−2i0-222-222-2-2000000002i−2i0000-22002i−2i−2i2i0000000000
χ262-22-200-22002i−2i0-222-2-1-11133−3−300002i−2i−i3i3i3−i31-1−33−iii−i0000000000
χ272-22-200-22002i−2i0-222-2-1-111−3−33300002i−2ii3−i3−i3i31-13−3−iii−i0000000000
χ282-22-200-2200−2i2i0-222-222-2-200000000−2i2i0000-2200−2i2i2i−2i0000000000
χ292-22-200-2200−2i2i0-222-2-1-11133−3−30000−2i2ii3−i3−i3i31-1−33i−i−ii0000000000
χ302-22-200-2200−2i2i0-222-2-1-111−3−3330000−2i2i−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
χ3333333333-3-3-3-33-1-1-1-100000000-111-111000000000000111111-1-1-1-1
χ3433333333-3-3-3-33-1-1-1-100000000-111-111000000000000-1-1-1-1-1-11111
χ353333-3-33333-3-3-3-1-1-1-1000000001-1-111100000000000011-1-1-11-111-1
χ363333-3-33333-3-3-3-1-1-1-1000000001-1-1111000000000000-1-1111-11-1-11
χ373333-3-333-3-333-3-1-1-1-1000000001111-1-100000000000011-1-11-1-11-11
χ383333-3-333-3-333-3-1-1-1-1000000001111-1-1000000000000-1-111-111-11-1
χ3944-4-44-400000000000-222-22-22-20000000000000000002-22-2000000
χ4044-4-44-400000000000-222-22-22-2000000000000000000-22-22000000
χ4144-4-4-4400000000000-222-2-22-220000000000000000002-2-22000000
χ4244-4-4-4400000000000-222-2-22-22000000000000000000-222-2000000
χ43666666-6-60000-622-2-200000000200-2000000000000000000000000
χ446666-6-6-6-60000622-2-200000000-2002000000000000000000000000
χ456-66-6006-66-6000-22-22000000000-220000000000000000000000000
χ466-66-6006-6-66000-22-220000000002-20000000000000000000000000
χ476-66-600-66006i−6i02-2-22000000000000−2i2i0000000000000000000000
χ486-66-600-6600−6i6i02-2-220000000000002i−2i0000000000000000000000
χ4988-8-88-8000000000002-2-22-22-220000000000000000000000000000
χ5088-8-8-88000000000002-2-222-22-20000000000000000000000000000
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).