Finite Group Databasebeta

← Group #11713873

Character table — Group #11713873

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222233336666668888881212121212121212121212121212121216161616161624243232323248484848
order12224488882222448888344666444444448888888812122424242444121212122444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ5111111-1-1-1-1111111-1-1-1-111-111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1111-11-1
χ6111111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-111-11-11
χ7111111-1-1-1-1111111-1-1-1-11-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-11-11
χ8111111-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-11-11-1
χ922222222222222222222-122-1-1-10000000000000000-1-1-1-1-1-122-1-1-1-10000
χ1022222222222222222222-1-2-2-1-1-10000000000000000-1-1-1-1-1-1-2-211110000
χ11222222-2-2-2-2222222-2-2-2-2-12-2-1-1-10000000000000000-1-111112-211-1-10000
χ12222222-2-2-2-2222222-2-2-2-2-1-22-1-1-10000000000000000-1-11111-22-1-1110000
χ132222-2-200002222-2-2000020022222-2-222-2-200000000-2-200000000000000
χ142222-2-200002222-2-20000200222-2-222-2-22200000000-2-200000000000000
χ1522-2-22-200002-22-22-20000200-2-22000000002i2i−2i−2i2i2i−2i−2i-2200000000000000
χ1622-2-22-200002-22-22-20000200-2-2200000000−2i−2i2i2i−2i−2i2i2i-2200000000000000
χ1722-2-2-222i2i−2i−2i2-22-2-222i2i−2i−2i200-2-2200000000000000002-22i2i−2i−2i0000000000
χ1822-2-2-222i2i−2i−2i2-22-2-222i2i−2i−2i-10011-10000000000000000-11−i−iii003−3−i3i30000
χ1922-2-2-222i2i−2i−2i2-22-2-222i2i−2i−2i-10011-10000000000000000-11−i−iii00−33i3−i30000
χ2022-2-2-22−2i−2i2i2i2-22-2-22−2i−2i2i2i200-2-2200000000000000002-2−2i−2i2i2i0000000000
χ2122-2-2-22−2i−2i2i2i2-22-2-22−2i−2i2i2i-10011-10000000000000000-11ii−i−i003−3i3−i30000
χ2222-2-2-22−2i−2i2i2i2-22-2-22−2i−2i2i2i-10011-10000000000000000-11ii−i−i00−33−i3i30000
χ232-22-200−i2i2−i2i2-222-200−i2i2−i2i2200-22-2002i−2i002i−2i2−22−22−22−200−i2i2−i2i20000000000
χ242-22-200−i2i2−i2i2-222-200−i2i2−i2i2200-22-200−2i2i00−2i2i−22−22−22−2200−i2i2−i2i20000000000
χ252-22-200i2−i2i2−i2-222-200i2−i2i2−i2200-22-2002i−2i002i−2i−22−22−22−2200i2−i2i2−i20000000000
χ262-22-200i2−i2i2−i2-222-200i2−i2i2−i2200-22-200−2i2i00−2i2i2−22−22−22−200i2−i2i2−i20000000000
χ272-2-22002−2−22-2-222002−2−222002-2-22i−2i002i−2i00−i2i2i2−i2−i2i2i2−i2002−2−220000000000
χ282-2-22002−2−22-2-222002−2−222002-2-2−2i2i00−2i2i00i2−i2−i2i2i2−i2−i2i2002−2−220000000000
χ292-2-2200−222−2-2-22200−222−22002-2-22i−2i002i−2i00i2−i2−i2i2i2−i2−i2i200−222−20000000000
χ302-2-2200−222−2-2-22200−222−22002-2-2−2i2i00−2i2i00−i2i2i2−i2−i2i2i2−i200−222−20000000000
χ313333333333-1-1-1-1-1-1-1-1-1-10330001111-1-1-1-11111-1-1-1-1000000-1-1000011-1-1
χ323333333333-1-1-1-1-1-1-1-1-1-1033000-1-1-1-11111-1-1-1-11111000000-1-10000-1-111
χ333333333333-1-1-1-1-1-1-1-1-1-10-3-30001111-1-1-1-11111-1-1-1-1000000110000-1-111
χ343333333333-1-1-1-1-1-1-1-1-1-10-3-3000-1-1-1-11111-1-1-1-1111100000011000011-1-1
χ35333333-3-3-3-3-1-1-1-1-1-1111103-30001111-1-1-1-1-1-1-1-11111000000-1100001-1-11
χ36333333-3-3-3-3-1-1-1-1-1-1111103-3000-1-1-1-111111111-1-1-1-1000000-110000-111-1
χ37333333-3-3-3-3-1-1-1-1-1-111110-330001111-1-1-1-1-1-1-1-111110000001-10000-111-1
χ38333333-3-3-3-3-1-1-1-1-1-111110-33000-1-1-1-111111111-1-1-1-10000001-100001-1-11
χ394444-4-400004444-4-40000-200-2-2-200000000000000002200000000000000
χ4044-4-44-400004-44-44-40000-20022-200000000000000002-200000000000000
χ414-44-400−2i22i2−2i22i2-444-400−2i22i2−2i22i2-2002-22000000000000000000i2−i2i2−i20000000000
χ424-44-4002i2−2i22i2−2i2-444-4002i2−2i22i2−2i2-2002-22000000000000000000−i2i2−i2i20000000000
χ434-4-440022−22−2222-4-4440022−22−2222-200-222000000000000000000−222−20000000000
χ444-4-4400−222222−22-4-44400−222222−22-200-2220000000000000000002−2−220000000000
χ456666-6-60000-2-2-2-222000000000022-2-2-2-222000000000000000000000000
χ466666-6-60000-2-2-2-2220000000000-2-22222-2-2000000000000000000000000
χ4766-6-66-60000-22-22-220000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ4866-6-66-60000-22-22-22000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ4966-6-6-666i6i−6i−6i-22-222-2−2i−2i2i2i00000000000000000000000000000000000000
χ5066-6-6-66−6i−6i6i6i-22-222-22i2i−2i−2i00000000000000000000000000000000000000
χ516-66-600−3i23i2−3i23i22-2-2200i2−i2i2−i2000000002i−2i00−2i2i2−22−2−22−220000000000000000
χ526-66-600−3i23i2−3i23i22-2-2200i2−i2i2−i200000000−2i2i002i−2i−22−222−22−20000000000000000
χ536-66-6003i2−3i23i2−3i22-2-2200−i2i2−i2i2000000002i−2i00−2i2i−22−222−22−20000000000000000
χ546-66-6003i2−3i23i2−3i22-2-2200−i2i2−i2i200000000−2i2i002i−2i2−22−2−22−220000000000000000
χ556-6-660032−32−323222-2-200−222−20000002i−2i00−2i2i00−i2i2i2−i2i2−i2−i2i20000000000000000
χ566-6-660032−32−323222-2-200−222−2000000−2i2i002i−2i00i2−i2−i2i2−i2i2i2−i20000000000000000
χ576-6-6600−323232−3222-2-2002−2−220000002i−2i00−2i2i00i2−i2−i2i2−i2i2i2−i20000000000000000
χ586-6-6600−323232−3222-2-2002−2−22000000−2i2i002i−2i00−i2i2i2−i2i2−i2−i2i20000000000000000

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