Finite Group Databasebeta

← Group #11794599

Character table — Group #11794599

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ11222-22-2-2-2222-22222-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000000000000022−2−222−2−2
χ12222-22-2-2-2222-22222-2-2-2-222-2-2-2-22222-2-2-2-2000000000000000000000000000000−2−222−2−222
χ13222-22-2-2-222-222222-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000022−2−2−2−222
χ14222-22-2-2-222-222222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000−2−22222−2−2
χ1522-22-2-22-2220022-2-2222-2-2-22-2-2-20000000022-2-20000002-200000000000022-2-20000000000
χ1622-22-2-22-2220022-2-2222-2-2-22-2-2-20000000022-2-2000000-22000000000000-2-2220000000000
χ1722-22-2-22-2220022-2-2222-2-2-22-2-2-200000000-2-222002i−2i0000000000002i2i−2i−2i00000000000000
χ1822-22-2-22-2220022-2-2222-2-2-22-2-2-200000000-2-22200−2i2i000000000000−2i−2i2i2i00000000000000
χ192-22-2-222-22200-2-2222-2-2-2-2-2222-2000000002-22-200002i−2i0000002i2i−2i−2i000000000000000000
χ202-22-2-222-22200-2-2222-2-2-2-2-2222-2000000002-22-20000−2i2i000000−2i−2i2i2i000000000000000000
χ212-22-2-222-22200-2-2222-2-2-2-2-2222-200000000-22-222-200000022-2-20000000000000000000000
χ222-22-2-222-22200-2-2222-2-2-2-2-2222-200000000-22-22-22000000-2-2220000000000000000000000
χ232-2-2222-2-22200-2-2-2-2-222-222-222-20000000000000000000000000000000000002i−2i2−22−2−i2i2−i2i2
χ242-2-2222-2-22200-2-2-2-2-222-222-222-20000000000000000000000000000000000002i−2i−22−22i2−i2i2−i2
χ252-2-2222-2-22200-2-2-2-2-222-222-222-2000000000000000000000000000000000000−2i2i2−22−2i2−i2i2−i2
χ262-2-2222-2-22200-2-2-2-2-222-222-222-2000000000000000000000000000000000000−2i2i−22−22−i2i2−i2i2
χ272-2-2-22-2222200-2-2-2-22-2-22222-2-22000000002-2-22000000000000000000000000002-2-220000
χ282-2-2-22-2222200-2-2-2-22-2-22222-2-22000000002-2-2200000000000000000000000000-222-20000
χ292-2-2-22-2222200-2-2-2-22-2-22222-2-2200000000-222-20000000000000000000000000000002i−2i−2i2i
χ302-2-2-22-2222200-2-2-2-22-2-22222-2-2200000000-222-2000000000000000000000000000000−2i2i2i−2i
χ31444444441-2441-21-211-2-21-2-21-2111-2-211-2-2000022002200-1-1-1-1-1-1-1-1000000000000000000
χ32444444441-2441-21-211-2-21-2-21-2111-2-211-2-20000-2-200-2-20011111111000000000000000000
χ33444444441-2-4-41-21-211-2-21-2-21-21-1-122-1-12200002200-2-200-1-1-1-11111000000000000000000
χ34444444441-2-4-41-21-211-2-21-2-21-21-1-122-1-1220000-2-20022001111-1-1-1-1000000000000000000
χ3544444444-2144-21-21-2-211-211-21-2-2-211-2-21100000022002200000000-1-1-1-1-1-1-1-10000000000
χ3644444444-2144-21-21-2-211-211-21-2-2-211-2-211000000-2-200-2-200000000111111110000000000
χ3744444444-21-4-4-21-21-2-211-211-21-222-1-122-1-10000002200-2-200000000-1-1-1-111110000000000
χ3844444444-21-4-4-21-21-2-211-211-21-222-1-122-1-1000000-2-20022000000001111-1-1-1-10000000000
χ39444-44-4-4-41-24-41-21-2-1-1221-22-12-111-2-2-1-1220000000000003−33−33−33−3000000000000000000
χ40444-44-4-4-41-24-41-21-2-1-1221-22-12-111-2-2-1-122000000000000−33−33−33−33000000000000000000
χ41444-44-4-4-41-2-441-21-2-1-1221-22-12-1-1-12211-2-20000000000003−33−3−33−33000000000000000000
χ42444-44-4-4-41-2-441-21-2-1-1221-22-12-1-1-12211-2-2000000000000−33−333−33−3000000000000000000
χ43444-44-4-4-4-214-4-21-2122-1-1-21-12-12-2-21122-1-1000000000000000000003−33−33−33−30000000000
χ44444-44-4-4-4-214-4-21-2122-1-1-21-12-12-2-21122-1-100000000000000000000−33−33−33−330000000000
χ45444-44-4-4-4-21-44-21-2122-1-1-21-12-1222-1-1-2-211000000000000000000003−33−3−33−330000000000
χ46444-44-4-4-4-21-44-21-2122-1-1-21-12-1222-1-1-2-21100000000000000000000−33−333−33−30000000000
χ4744-44-4-44-4-2100-212-1-2-21-12-112-12003i−3i003i−3i0000002i−2i002-200000000−i−iii-1-1110000000000
χ4844-44-4-44-4-2100-212-1-2-21-12-112-12003i−3i003i−3i000000−2i2i00-2200000000ii−i−i11-1-10000000000
χ4944-44-4-44-4-2100-212-1-2-21-12-112-1200−3i3i00−3i3i0000002i−2i00-2200000000−i−iii11-1-10000000000
χ5044-44-4-44-4-2100-212-1-2-21-12-112-1200−3i3i00−3i3i000000−2i2i002-200000000ii−i−i-1-1110000000000
χ5144-4-4-44-44440044-4-4-4-4-44-4-4-44440000000000000000000000000000000000000000000000
χ5244-4-4-44-44-2100-212-122-112-1-1-21-2003i−3i00−3i3i00000000000000000000−i3i3i3−i3−333−30000000000
χ5344-4-4-44-44-2100-212-122-112-1-1-21-2003i−3i00−3i3i00000000000000000000i3−i3−i3i33−3−330000000000
χ5444-4-4-44-44-2100-212-122-112-1-1-21-200−3i3i003i−3i00000000000000000000−i3i3i3−i33−3−330000000000
χ5544-4-4-44-44-2100-212-122-112-1-1-21-200−3i3i003i−3i00000000000000000000i3−i3−i3i3−333−30000000000
χ564-444-4-4-441-200-121-2-11-2-2-122-1213i−3i003i−3i000000000000003−3−33−i3i3i3−i3000000000000000000
χ574-444-4-4-441-200-121-2-11-2-2-122-1213i−3i003i−3i00000000000000−333−3i3−i3−i3i3000000000000000000
χ584-444-4-4-441-200-121-2-11-2-2-122-121−3i3i00−3i3i000000000000003−3−33i3−i3−i3i3000000000000000000
χ594-444-4-4-441-200-121-2-11-2-2-122-121−3i3i00−3i3i00000000000000−333−3−i3i3i3−i3000000000000000000
χ604-444-4-4-444400-4-444-4444-4-4-4-4-440000000000000000000000000000000000000000000000
χ614-44-4-444-41-200-121-21-122-12-21-2-13i−3i00−3i3i0000002-200−2i2i00-1-111ii−i−i000000000000000000
χ624-44-4-444-41-200-121-21-122-12-21-2-13i−3i00−3i3i000000-22002i−2i0011-1-1−i−iii000000000000000000
χ634-44-4-444-41-200-121-21-122-12-21-2-1−3i3i003i−3i0000002-2002i−2i00-1-111−i−iii000000000000000000
χ644-44-4-444-41-200-121-21-122-12-21-2-1−3i3i003i−3i000000-2200−2i2i0011-1-1ii−i−i000000000000000000
χ6588-88-8-88-82-4002-4-2422-44-24-4-24-20000000000000000000000000000000000000000000000
χ6688-8-8-88-882-4002-4-24-2-24-4-2442-420000000000000000000000000000000000000000000000
χ678-888-8-8-88-42004-2-424-4224-2-24-2-40000000000000000000000000000000000000000000000
χ688-88-8-888-8-42004-2-42-44-2-24-22-4240000000000000000000000000000000000000000000000
χ698-8-8888-8-82-400-24-24-22-442-442-4-20000000000000000000000000000000000000000000000
χ708-8-8888-8-8-42004-24-24-42-2-42-2-4240000000000000000000000000000000000000000000000
χ718-8-8-88-8882-400-24-242-24-42-4-4-2420000000000000000000000000000000000000000000000
χ728-8-8-88-888-42004-24-2-44-22-4224-2-40000000000000000000000000000000000000000000000

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