Finite Group Databasebeta

← Group #11795416

Character table — Group #11795416

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order12222222334466666666666666121212121212121244442244444466661212121212121212121212124488888888
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
χ11222-2-22-2-22200222-2222-2-2-2-2-2-2-20000000022-2-22-200000022-2-20000000000000000000000
χ12222-2-22-2-22200222-2222-2-2-2-2-2-2-20000000022-2-2-22000000-2-2220000000000000000000000
χ13222-2-22-2-22200222-2222-2-2-2-2-2-2-200000000-2-22200002i−2i0000002i2i−2i−2i000000000000000000
χ14222-2-22-2-22200222-2222-2-2-2-2-2-2-200000000-2-2220000−2i2i000000−2i−2i2i2i000000000000000000
χ1522-222-2-2-222002-2-2-22-2-22-2222-2-20000000000000000000000000000000000002i−2i22−2−2−i2−i2i2i2
χ1622-222-2-2-222002-2-2-22-2-22-2222-2-20000000000000000000000000000000000002i−2i−2−222i2i2−i2−i2
χ1722-222-2-2-222002-2-2-22-2-22-2222-2-2000000000000000000000000000000000000−2i2i22−2−2i2i2−i2−i2
χ1822-222-2-2-222002-2-2-22-2-22-2222-2-2000000000000000000000000000000000000−2i2i−2−222−i2−i2i2i2
χ192-22-22-22-2222i−2i-22-22-22-222-2-22-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000002−22−2−i2i2−i2i2
χ202-22-22-22-2222i−2i-22-22-22-222-2-22-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000−22−22i2−i2i2−i2
χ212-22-22-22-222−2i2i-22-22-22-222-2-22-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000002−22−2i2−i2i2−i2
χ222-22-22-22-222−2i2i-22-22-22-222-2-22-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000−22−22−i2i2−i2i2
χ232-2-22-222-22200-2-222-2-22-2222-2-2-2000000002-22-20000002i−2i0000000000002i2i−2i−2i0000000000
χ242-2-22-222-22200-2-222-2-22-2222-2-2-2000000002-22-2000000−2i2i000000000000−2i−2i2i2i0000000000
χ252-2-22-222-22200-2-222-2-22-2222-2-2-200000000-22-22002i−2i0000000000002i2i−2i−2i00000000000000
χ262-2-22-222-22200-2-222-2-22-2222-2-2-200000000-22-2200−2i2i000000000000−2i−2i2i2i00000000000000
χ272-2-2-222-222200-2-22-2-2-222-2-2-2222000000002-2-220000000000000000000000000000002-2-22
χ282-2-2-222-222200-2-22-2-2-222-2-2-2222000000002-2-22000000000000000000000000000000-222-2
χ292-2-2-222-222200-2-22-2-2-222-2-2-222200000000-222-2000000000000000000000000002-2-220000
χ302-2-2-222-222200-2-22-2-2-222-2-2-222200000000-222-200000000000000000000000000-222-20000
χ31444444441-2441111-2-2-2-2-21-211-211-2-211-2-200000022002200000000-1-1-1-1-1-1-1-10000000000
χ32444444441-2441111-2-2-2-2-21-211-211-2-211-2-2000000-2-200-2-200000000111111110000000000
χ33444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-1220000002200-2-200000000-1-1-1-111110000000000
χ34444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-122000000-2-20022000000001111-1-1-1-10000000000
χ3544444444-2144-2-2-2-211111-21-2-21-2-211-2-211000022002200-1-1-1-1-1-1-1-1000000000000000000
χ3644444444-2144-2-2-2-211111-21-2-21-2-211-2-2110000-2-200-2-20011111111000000000000000000
χ3744444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-100002200-2-200-1-1-1-11111000000000000000000
χ3844444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-10000-2-20022001111-1-1-1-1000000000000000000
χ39444-4-44-4-4-2100-2-2-22111-1-12-122-1003i−3i003i−3i00002-2002i−2i00-1-111−i−iii000000000000000000
χ40444-4-44-4-4-2100-2-2-22111-1-12-122-1003i−3i003i−3i0000-2200−2i2i0011-1-1ii−i−i000000000000000000
χ41444-4-44-4-4-2100-2-2-22111-1-12-122-100−3i3i00−3i3i00002-200−2i2i00-1-111ii−i−i000000000000000000
χ42444-4-44-4-4-2100-2-2-22111-1-12-122-100−3i3i00−3i3i0000-22002i−2i0011-1-1−i−iii000000000000000000
χ4344-4-4-4-4441-2001-1-11-2222-2-12-11-23i−3i003i−3i00000000000000000000003−33−3−i3i3−i3i30000000000
χ4444-4-4-4-4441-2001-1-11-2222-2-12-11-23i−3i003i−3i0000000000000000000000−33−33i3−i3i3−i30000000000
χ4544-4-4-4-4441-2001-1-11-2222-2-12-11-2−3i3i00−3i3i00000000000000000000003−33−3i3−i3i3−i30000000000
χ4644-4-4-4-4441-2001-1-11-2222-2-12-11-2−3i3i00−3i3i0000000000000000000000−33−33−i3i3−i3i30000000000
χ4744-4-4-4-44444004-4-444-4-4-44-4-4-4440000000000000000000000000000000000000000000000
χ484-444-4-4-444400-44-4-4-44-4-4-444-4440000000000000000000000000000000000000000000000
χ494-444-4-4-44-21002-222-11-1-1-1-212-21003-300-33000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ504-444-4-4-44-21002-222-11-1-1-1-212-21003-300-33000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ514-444-4-4-44-21002-222-11-1-1-1-212-2100-33003-3000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000
χ524-444-4-4-44-21002-222-11-1-1-1-212-2100-33003-3000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000
χ534-44-44-44-41-24i−4i-11-112-22-2-2-121-12ii−2i−2i−i−i2i2i00000000000000000000−i3i3i3−i33−3−330000000000
χ544-44-44-44-41-24i−4i-11-112-22-2-2-121-12ii−2i−2i−i−i2i2i00000000000000000000i3−i3−i3i3−333−30000000000
χ554-44-44-44-41-2−4i4i-11-112-22-2-2-121-12−i−i2i2iii−2i−2i00000000000000000000−i3i3i3−i3−333−30000000000
χ564-44-44-44-41-2−4i4i-11-112-22-2-2-121-12−i−i2i2iii−2i−2i00000000000000000000i3−i3−i3i33−3−330000000000
χ574-44-44-44-4-214i−4i2-22-2-11-1112-1-22-1−2i−2iii2i2i−i−i000000000000−i3i3i3−i33−3−33000000000000000000
χ584-44-44-44-4-214i−4i2-22-2-11-1112-1-22-1−2i−2iii2i2i−i−i000000000000i3−i3−i3i3−333−3000000000000000000
χ594-44-44-44-4-21−4i4i2-22-2-11-1112-1-22-12i2i−i−i−2i−2iii000000000000−i3i3i3−i3−333−3000000000000000000
χ604-44-44-44-4-21−4i4i2-22-2-11-1112-1-22-12i2i−i−i−2i−2iii000000000000i3−i3−i3i33−3−33000000000000000000
χ614-4-44-444-41-200-1-11122-22-21-2-1-123-300-33000000002i−2i00−2i2i00000000−i−iiiii−i−i0000000000
χ624-4-44-444-41-200-1-11122-22-21-2-1-123-300-3300000000−2i2i002i−2i00000000ii−i−i−i−iii0000000000
χ634-4-44-444-41-200-1-11122-22-21-2-1-12-33003-3000000002i−2i002i−2i00000000−i−iii−i−iii0000000000
χ644-4-44-444-41-200-1-11122-22-21-2-1-12-33003-300000000−2i2i00−2i2i00000000ii−i−iii−i−i0000000000
χ65888-8-88-8-82-400222-2-4-4-444-24-2-240000000000000000000000000000000000000000000000
χ6688-888-8-8-82-4002-2-2-2-444-442-42-240000000000000000000000000000000000000000000000
χ6788-888-8-8-8-4200-44442-2-22-2-42-44-20000000000000000000000000000000000000000000000
χ6888-8-8-8-888-4200-444-42-2-2-224-24-420000000000000000000000000000000000000000000000
χ698-888-8-8-882-400-22-2-24-44442-4-22-40000000000000000000000000000000000000000000000
χ708-8-88-888-8-420044-4-4-2-22-22-4244-20000000000000000000000000000000000000000000000
χ718-8-8-888-882-400-2-22-244-4-44-2422-40000000000000000000000000000000000000000000000
χ728-8-8-888-88-420044-44-2-222-24-2-4-420000000000000000000000000000000000000000000000

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