Finite Group Databasebeta

← Group #11794553

Character table — Group #11794553

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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ11222-22-2-2-2220022-2-2-222-2-2-22-2-220000000000000000000000000000000000002i−2i22−2−2−i2−i2i2i2
χ12222-22-2-2-2220022-2-2-222-2-2-22-2-220000000000000000000000000000000000002i−2i−2−222i2i2−i2−i2
χ13222-22-2-2-2220022-2-2-222-2-2-22-2-22000000000000000000000000000000000000−2i2i22−2−2i2i2−i2−i2
χ14222-22-2-2-2220022-2-2-222-2-2-22-2-22000000000000000000000000000000000000−2i2i−2−222−i2−i2i2i2
χ1522-22-22-2-222002-222-22-222-2-2-2-2-20000000022-2-22-200000022-2-20000000000000000000000
χ1622-22-22-2-222002-222-22-222-2-2-2-2-20000000022-2-2-22000000-2-2220000000000000000000000
χ1722-22-22-2-222002-222-22-222-2-2-2-2-200000000-2-22200002i−2i0000002i2i−2i−2i000000000000000000
χ1822-22-22-2-222002-222-22-222-2-2-2-2-200000000-2-2220000−2i2i000000−2i−2i2i2i000000000000000000
χ192-22-2-22-222200-222-2-2-222-2-2-222-2000000002-22-2002i−2i00000000000000002i2i−2i−2i0000000000
χ202-22-2-22-222200-222-2-2-222-2-2-222-2000000002-22-200−2i2i0000000000000000−2i−2i2i2i0000000000
χ212-22-2-22-222200-222-2-2-222-2-2-222-200000000-22-220000002-20000000022-2-200000000000000
χ222-22-2-22-222200-222-2-2-222-2-2-222-200000000-22-22000000-2200000000-2-22200000000000000
χ232-2-222-2-22222-2-2-2-22-2-2-2-22-2222222-2-222-2-20000000000000000000000000000002−22−22−22−2
χ242-2-222-2-22222-2-2-2-22-2-2-2-22-2222222-2-222-2-2000000000000000000000000000000−22−22−22−22
χ252-2-222-2-2222-22-2-2-22-2-2-2-22-22222-2-222-2-2220000000000000000000000000000002−22−2−22−22
χ262-2-222-2-2222-22-2-2-22-2-2-2-22-22222-2-222-2-222000000000000000000000000000000−22−222−22−2
χ272-2-2-2222-22200-2-22-22-2-22-222-2-22000000002-2-22000000000000000000000000002-2-220000
χ282-2-2-2222-22200-2-22-22-2-22-222-2-22000000002-2-2200000000000000000000000000-222-20000
χ292-2-2-2222-22200-2-22-22-2-22-222-2-2200000000-222-20000000000000000000000000000002i−2i−2i2i
χ302-2-2-2222-22200-2-22-22-2-22-222-2-2200000000-222-2000000000000000000000000000000−2i2i2i−2i
χ31444444441-24411111-2-2-2-2-2-21-21-2-2-2-2111100000022002200000000-1-1-1-1-1-1-1-10000000000
χ32444444441-24411111-2-2-2-2-2-21-21-2-2-2-21111000000-2-200-2-200000000111111110000000000
χ33444444441-2-4-411111-2-2-2-2-2-21-212222-1-1-1-10000002200-2-2000000001111-1-1-1-10000000000
χ34444444441-2-4-411111-2-2-2-2-2-21-212222-1-1-1-1000000-2-2002200000000-1-1-1-111110000000000
χ3544444444-2144-2-2-2-2-2111111-21-21111-2-2-2-2000022002200-1-1-1-1-1-1-1-1000000000000000000
χ3644444444-2144-2-2-2-2-2111111-21-21111-2-2-2-20000-2-200-2-20011111111000000000000000000
χ3744444444-21-4-4-2-2-2-2-2111111-21-2-1-1-1-1222200002200-2-200-1-1-1-11111000000000000000000
χ3844444444-21-4-4-2-2-2-2-2111111-21-2-1-1-1-122220000-2-20022001111-1-1-1-1000000000000000000
χ3944-44-44-4-4-2100-22-2-221-111-1-12-123i−3i3i−3i000000002-2002i−2i00-1-111−i−iii000000000000000000
χ4044-44-44-4-4-2100-22-2-221-111-1-12-123i−3i3i−3i00000000-2200−2i2i0011-1-1ii−i−i000000000000000000
χ4144-44-44-4-4-2100-22-2-221-111-1-12-12−3i3i−3i3i000000002-200−2i2i00-1-111ii−i−i000000000000000000
χ4244-44-44-4-4-2100-22-2-221-111-1-12-12−3i3i−3i3i00000000-22002i−2i0011-1-1−i−iii000000000000000000
χ4344-4-4-4-4441-2001-1-1-11-2222-221-2-100003i−3i3i−3i00000000000000000000−i3i3−i3i33−33−30000000000
χ4444-4-4-4-4441-2001-1-1-11-2222-221-2-100003i−3i3i−3i00000000000000000000i3−i3i3−i3−33−330000000000
χ4544-4-4-4-4441-2001-1-1-11-2222-221-2-10000−3i3i−3i3i00000000000000000000−i3i3−i3i3−33−330000000000
χ4644-4-4-4-4441-2001-1-1-11-2222-221-2-10000−3i3i−3i3i00000000000000000000i3−i3i3−i33−33−30000000000
χ4744-4-4-4-44444004-4-4-444-4-4-44-444-40000000000000000000000000000000000000000000000
χ484-444-4-44-44400-44-444-44-444-4-4-4-40000000000000000000000000000000000000000000000
χ494-444-4-44-4-21002-22-2-2-11-111-12-123i−3i−3i3i0000000000000000−i3i3−i3i33−33−3000000000000000000
χ504-444-4-44-4-21002-22-2-2-11-111-12-123i−3i−3i3i0000000000000000i3−i3i3−i3−33−33000000000000000000
χ514-444-4-44-4-21002-22-2-2-11-111-12-12−3i3i3i−3i0000000000000000−i3i3−i3i3−33−33000000000000000000
χ524-444-4-44-4-21002-22-2-2-11-111-12-12−3i3i3i−3i0000000000000000i3−i3i3−i33−33−3000000000000000000
χ534-44-4-44-441-200-111-1-12-2-22221-2-100003i−3i−3i3i0000002i−2i002-200000000-1-111−i−iii0000000000
χ544-44-4-44-441-200-111-1-12-2-22221-2-100003i−3i−3i3i000000−2i2i00-220000000011-1-1ii−i−i0000000000
χ554-44-4-44-441-200-111-1-12-2-22221-2-10000−3i3i3i−3i0000002i−2i00-220000000011-1-1−i−iii0000000000
χ564-44-4-44-441-200-111-1-12-2-22221-2-10000−3i3i3i−3i000000−2i2i002-200000000-1-111ii−i−i0000000000
χ574-4-444-4-441-24-4-1-1-11-1222-22-21-21-2-22211-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ584-4-444-4-441-24-4-1-1-11-1222-22-21-21-2-22211-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ594-4-444-4-441-2-44-1-1-11-1222-22-21-2122-2-2-1-11100000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ604-4-444-4-441-2-44-1-1-11-1222-22-21-2122-2-2-1-11100000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ614-4-444-4-44-214-4222-22-1-1-11-11-21-211-1-1-2-222000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ624-4-444-4-44-214-4222-22-1-1-11-11-21-211-1-1-2-222000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ634-4-444-4-44-21-44222-22-1-1-11-11-21-2-1-11122-2-2000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000
χ644-4-444-4-44-21-44222-22-1-1-11-11-21-2-1-11122-2-2000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000
χ65888-88-8-8-82-40022-2-2-2-4-4444-4-2420000000000000000000000000000000000000000000000
χ66888-88-8-8-8-4200-4-444422-2-2-224-2-40000000000000000000000000000000000000000000000
χ6788-88-88-8-82-4002-222-2-44-4-444-24-20000000000000000000000000000000000000000000000
χ6888-8-8-8-888-4200-4444-42-2-2-22-2-4240000000000000000000000000000000000000000000000
χ698-888-8-88-82-400-22-2224-44-4-44-24-20000000000000000000000000000000000000000000000
χ708-88-8-88-88-42004-4-444-222-2-2-2-4240000000000000000000000000000000000000000000000
χ718-8-8-8888-82-400-2-22-2244-44-4-4-2420000000000000000000000000000000000000000000000
χ728-8-8-8888-8-420044-44-4-2-22-2224-2-40000000000000000000000000000000000000000000000

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