Finite Group Databasebeta

← Group #11713937

Character table — Group #11713937

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order12224444222222244444436661212121222244666666121212121212888888882444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11-11-1
χ61111-1-1111111-111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-11-11
χ71111-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-11-11
χ81111-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ102222222222222-2-2-2-22222-1-1-1-1-1-1-1-12-2-2-2-2-1-11111-1-11111000000000000
χ11222222-2-22222-2000022-2-222222222-20000-2-20000-2-20000000000000000
χ12222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-2000011−i3−i3i3i311−i3−i3i3i3000000000000
χ13222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-2000011i3i3−i3−i311i3i3−i3−i3000000000000
χ142222-2-2222222-222-2-2-2-222-1-1-1-11111-222-2-211-1-1-1-1-1-11111000000000000
χ152222-2-2222222-2-2-222-2-222-1-1-1-11111-2-2-222111111-1-1-1-1-1-1000000000000
χ162222-2-2-2-2222220000-2-2-2-22222-2-2-2-220000220000-2-20000000000000000
χ172222-2-2-2-2222220000-2-2-2-2-1-1-1-1111120000-1-1−i3−i3i3i311i3i3−i3−i3000000000000
χ182222-2-2-2-2222220000-2-2-2-2-1-1-1-1111120000-1-1i3i3−i3−i311−i3−i3i3i3000000000000
χ1922-2-22i−2i002-22-2000002i−2i0022-2-22i2i−2i−2i000000000000000002−2−i2i22−2−i2i20000
χ2022-2-22i−2i002-22-2000002i−2i0022-2-22i2i−2i−2i00000000000000000−22i2−i2−22i2−i20000
χ2122-2-2−2i2i002-22-200000−2i2i0022-2-2−2i−2i2i2i000000000000000002−2i2−i22−2i2−i20000
χ2222-2-2−2i2i002-22-200000−2i2i0022-2-2−2i−2i2i2i00000000000000000−22−i2i2−22−i2i20000
χ232-2-22002-2-222-20002-2002-22-2-2200000002-20000002-22-22-2000000000000
χ242-2-22002-2-222-20002-2002-2-111-1−i3i3−i3i30002-2−i3i3−i3i3−i3i3-11-11-11000000000000
χ252-2-22002-2-222-20002-2002-2-111-1i3−i3i3−i30002-2i3−i3i3−i3i3−i3-11-11-11000000000000
χ262-2-22002-2-222-2000-22002-22-2-220000000-220000002-2-22-22000000000000
χ272-2-22002-2-222-2000-22002-2-111-1−i3i3−i3i3000-22−i3i3i3−i3i3−i3-111-11-1000000000000
χ282-2-22002-2-222-2000-22002-2-111-1i3−i3i3−i3000-22i3−i3−i3i3−i3i3-111-11-1000000000000
χ292-2-2200-22-222-202-20000-222-2-22000002-200002-2-22-220000000000000000
χ302-2-2200-22-222-202-20000-22-111-1−i3i3−i3i302-200i3−i3-111-11-1−i3i3i3−i3000000000000
χ312-2-2200-22-222-202-20000-22-111-1i3−i3i3−i302-200−i3i3-111-11-1i3−i3−i3i3000000000000
χ322-2-2200-22-222-20-220000-222-2-2200000-220000-222-2-220000000000000000
χ332-2-2200-22-222-20-220000-22-111-1−i3i3−i3i30-2200i3−i31-1-111-1i3−i3−i3i3000000000000
χ342-2-2200-22-222-20-220000-22-111-1i3−i3i3−i30-2200−i3i31-1-111-1−i3i3i3−i3000000000000
χ3533333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-10000000000001111-1-1-1-111-1-1
χ3633333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-1000000000000-1-1-1-11111-1-111
χ3733333333-1-1-1-13-3-3-3-3-1-1-1-100000000-111110000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-13-3-3-3-3-1-1-1-100000000-11111000000000000-1-1-1-1111111-1-1
χ393333-3-333-1-1-1-1-333-3-311-1-1000000001-1-11100000000000011-1-1-1-1111-1-11
χ403333-3-333-1-1-1-1-333-3-311-1-1000000001-1-111000000000000-1-11111-1-1-111-1
χ413333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-100000000000011-1-1-1-111-111-1
χ423333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-1000000000000-1-11111-1-11-1-11
χ4344-4-44i−4i004-44-4000004i−4i00-2-222−2i−2i2i2i00000000000000000000000000000
χ4444-4-4−4i4i004-44-400000−4i4i00-2-2222i2i−2i−2i00000000000000000000000000000
χ454-44-40000-4-4440000000004-44-4000000000000000000000000000000000
χ464-44-40000-4-444000000000-22-2223−23−232300000000000000000000000000000
χ474-44-40000-4-444000000000-22-22−232323−2300000000000000000000000000000
χ48666666-6-6-2-2-2-2-60000-2-2220000000020000000000000000000000000000
χ496666-6-6-6-6-2-2-2-260000222200000000-20000000000000000000000000000
χ5066-6-66i−6i00-22-2200000−2i2i0000000000000000000000000002−2−i2i2−22i2−i20000
χ5166-6-66i−6i00-22-2200000−2i2i000000000000000000000000000−22i2−i22−2−i2i20000
χ5266-6-6−6i6i00-22-22000002i−2i0000000000000000000000000002−2i2−i2−22−i2i20000
χ5366-6-6−6i6i00-22-22000002i−2i000000000000000000000000000−22−i2i22−2i2−i20000
χ546-6-66006-62-2-220006-600-2200000000000-22000000000000000000000000
χ556-6-66006-62-2-22000-6600-22000000000002-2000000000000000000000000
χ566-6-6600-662-2-2206-600002-2000000000-2200000000000000000000000000
χ576-6-6600-662-2-220-6600002-20000000002-200000000000000000000000000
χ5812-1212-12000044-4-40000000000000000000000000000000000000000000000

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