Finite Group Databasebeta

← Group #11714041

Character table — Group #11714041

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444466668888888812121212121216161616161616161616161624242424484848484848
order12222244444442244366666662444441212121212121212121212124444448888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111-1-1-1-111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111-1-11111-1-1-1111111-1-1-1-111-111-1-1-111-1-11111-1-1-1-111-1-11-11-11-1
χ61111-1-11111-1-1-1111111-1-1-1-111-111-1-1-111-1-11111-1-1-1-1-1-111-11-11-11
χ71111-1-111-1-111-1111111-1-1-1-111-1-1-111-111-1-1-1-1-1-1111111-1-1-111-1-11
χ81111-1-111-1-111-1111111-1-1-1-111-1-1-111-111-1-1-1-1-1-11111-1-1111-1-111-1
χ922222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1022222222-2-2-2-222222-1-1-1-1-1-1-1-12-2-2-2-22-1-1-1-1111111110000000000
χ11222222-2-20000-2-2-22222222222-200002-2-2-2-2000000000000000000
χ12222222-2-20000-2-2-222-1-1-1-1-1-1-1-1-2000021111−i3−i3i3i3−i3−i3i3i30000000000
χ13222222-2-20000-2-2-222-1-1-1-1-1-1-1-1-2000021111i3i3−i3−i3i3i3−i3−i30000000000
χ142222-2-22222-2-2-22222-1-11111-1-1-222-2-2-2-1-111-1-1-1-111110000000000
χ152222-2-222-2-222-22222-1-11111-1-1-2-2-222-2-1-1111111-1-1-1-10000000000
χ162222-2-2-2-200002-2-22222-2-2-2-22220000-2-2-222000000000000000000
χ172222-2-2-2-200002-2-222-1-11111-1-120000-211-1-1−i3−i3i3i3i3i3−i3−i30000000000
χ182222-2-2-2-200002-2-222-1-11111-1-120000-211-1-1i3i3−i3−i3−i3−i3i3i30000000000
χ192-2-22002-2002i−2i02-22-22-200002-20002i−2i02-20000002i−2i2i−2i0000000000
χ202-2-22002-2002i−2i02-22-2-11−i3−i3i3i3-110002i−2i0-11−i3i33−33−3−ii−ii0000000000
χ212-2-22002-2002i−2i02-22-2-11i3i3−i3−i3-110002i−2i0-11i3−i3−33−33−ii−ii0000000000
χ222-2-22002-200−2i2i02-22-22-200002-2000−2i2i02-2000000−2i2i−2i2i0000000000
χ232-2-22002-200−2i2i02-22-2-11−i3−i3i3i3-11000−2i2i0-11−i3i3−33−33i−ii−i0000000000
χ242-2-22002-200−2i2i02-22-2-11i3i3−i3−i3-11000−2i2i0-11i3−i33−33−3i−ii−i0000000000
χ252-2-2200-222i−2i000-222-22-200002-202i−2i000-22002i−2i−2i2i00000000000000
χ262-2-2200-222i−2i000-222-2-11−i3−i3i3i3-1102i−2i0001-1i3−i3−iii−i3−3−330000000000
χ272-2-2200-222i−2i000-222-2-11i3i3−i3−i3-1102i−2i0001-1−i3i3−iii−i−333−30000000000
χ282-2-2200-22−2i2i000-222-22-200002-20−2i2i000-2200−2i2i2i−2i00000000000000
χ292-2-2200-22−2i2i000-222-2-11−i3−i3i3i3-110−2i2i0001-1i3−i3i−i−ii−333−30000000000
χ302-2-2200-22−2i2i000-222-2-11i3i3−i3−i3-110−2i2i0001-1−i3i3i−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
χ3333333333-3-3-3-33-1-1-1-100000000-11111-1000000000000111111-1-1-1-1
χ3433333333-3-3-3-33-1-1-1-100000000-11111-1000000000000-1-1-1-1-1-11111
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
χ373333-3-333-3-333-3-1-1-1-100000000111-1-1100000000000011-1-11-1-11-11
χ383333-3-333-3-333-3-1-1-1-100000000111-1-11000000000000-1-111-111-11-1
χ3944-4-44-400000000000-2-22-22-2220000000000000000002i−2i2i−2i000000
χ4044-4-44-400000000000-2-22-22-222000000000000000000−2i2i−2i2i000000
χ4144-4-4-4400000000000-2-2-22-22220000000000000000002i−2i−2i2i000000
χ4244-4-4-4400000000000-2-2-22-2222000000000000000000−2i2i2i−2i000000
χ43666666-6-60000-622-2-20000000020000-20000000000000000000000
χ446666-6-6-6-60000622-2-200000000-2000020000000000000000000000
χ456-6-66006-6006i−6i0-22-2200000000000−2i2i00000000000000000000000
χ466-6-66006-600−6i6i0-22-22000000000002i−2i00000000000000000000000
χ476-6-6600-666i−6i0002-2-22000000000−2i2i0000000000000000000000000
χ486-6-6600-66−6i6i0002-2-220000000002i−2i0000000000000000000000000
χ4988-8-88-80000000000022-22-22-2-20000000000000000000000000000
χ5088-8-8-8800000000000222-22-2-2-20000000000000000000000000000
χ518-88-800000000000002-2−2i32i32i3−2i3-220000000000000000000000000000
χ528-88-800000000000002-22i3−2i3−2i32i3-220000000000000000000000000000
χ538-88-80000000000000-4400004-40000000000000000000000000000

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