Finite Group Databasebeta

← Group #11795286

Character table — Group #11795286

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
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
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ1122-22-22-2-22200222-2-2-2-2-2-222-2-220000000000000000000000000000000000002i−2i−i2−i2i2i222−2−2
χ1222-22-22-2-22200222-2-2-2-2-2-222-2-220000000000000000000000000000000000002i−2ii2i2−i2−i2−2−222
χ1322-22-22-2-22200222-2-2-2-2-2-222-2-22000000000000000000000000000000000000−2i2i−i2−i2i2i2−2−222
χ1422-22-22-2-22200222-2-2-2-2-2-222-2-22000000000000000000000000000000000000−2i2ii2i2−i2−i222−2−2
χ1522-2-22-22-2220022-2222-2-2-2-2-22-2-20000000022-2-22-200000022-2-20000000000000000000000
χ1622-2-22-22-2220022-2222-2-2-2-2-22-2-20000000022-2-2-22000000-2-2220000000000000000000000
χ1722-2-22-22-2220022-2222-2-2-2-2-22-2-200000000-2-22200002i−2i000000000000002i2i−2i−2i0000000000
χ1822-2-22-22-2220022-2222-2-2-2-2-22-2-200000000-2-2220000−2i2i00000000000000−2i−2i2i2i0000000000
χ192-222-2-22-22200-2-2222-222-2-22-2-2-2000000002-22-2002-20000000022-2-2000000000000000000
χ202-222-2-22-22200-2-2222-222-2-22-2-2-2000000002-22-200-2200000000-2-222000000000000000000
χ212-222-2-22-22200-2-2222-222-2-22-2-2-200000000-22-220000002i−2i000000002i2i−2i−2i00000000000000
χ222-222-2-22-22200-2-2222-222-2-22-2-2-200000000-22-22000000−2i2i00000000−2i−2i2i2i00000000000000
χ232-22-222-2-2222-2-2-2-2-2-2222-22-22-2222-2-222-2-2000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ242-22-222-2-2222-2-2-2-2-2-2222-22-22-2222-2-222-2-2000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ252-22-222-2-222-22-2-2-2-2-2222-22-22-22-2-222-2-222000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ262-22-222-2-222-22-2-2-2-2-2222-22-22-22-2-222-2-222000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ272-2-2-2-22222200-2-2-222-2-2-222-2-222000000002-2-22000000000000000000000000002-2-220000
χ282-2-2-2-22222200-2-2-222-2-2-222-2-222000000002-2-2200000000000000000000000000-222-20000
χ292-2-2-2-22222200-2-2-222-2-2-222-2-22200000000-222-20000000000000000000000000000002i−2i−2i2i
χ302-2-2-2-22222200-2-2-222-2-2-222-2-22200000000-222-2000000000000000000000000000000−2i2i2i−2i
χ31444444441-2441-211-2-21-21-2-21-21-2-2-2-21111000022002200-1-1-1-100000000-1-1-1-10000000000
χ32444444441-2441-211-2-21-21-2-21-21-2-2-2-211110000-2-200-2-20011110000000011110000000000
χ33444444441-2-4-41-211-2-21-21-2-21-212222-1-1-1-100002200-2-200-1-1-1-10000000011110000000000
χ34444444441-2-4-41-211-2-21-21-2-21-212222-1-1-1-10000-2-2002200111100000000-1-1-1-10000000000
χ3544444444-2144-21-2-211-21-211-21-21111-2-2-2-20000002200220000-1-1-1-1-1-1-1-100000000000000
χ3644444444-2144-21-2-211-21-211-21-21111-2-2-2-2000000-2-200-2-200001111111100000000000000
χ3744444444-21-4-4-21-2-211-21-211-21-2-1-1-1-122220000002200-2-20000-1-1-1-1111100000000000000
χ3844444444-21-4-4-21-2-211-21-211-21-2-1-1-1-12222000000-2-2002200001111-1-1-1-100000000000000
χ39444-4-4-4-44440044-4-4-4-4444-4-4-44-40000000000000000000000000000000000000000000000
χ40444-4-4-4-44-2100-2122-1-1-21-2-1-12123i−3i3i−3i000000000000000000003−33−3−i3i3−i3i300000000000000
χ41444-4-4-4-44-2100-2122-1-1-21-2-1-12123i−3i3i−3i00000000000000000000−33−33i3−i3i3−i300000000000000
χ42444-4-4-4-44-2100-2122-1-1-21-2-1-1212−3i3i−3i3i000000000000000000003−33−3i3−i3i3−i300000000000000
χ43444-4-4-4-44-2100-2122-1-1-21-2-1-1212−3i3i−3i3i00000000000000000000−33−33−i3i3−i3i300000000000000
χ4444-4-44-44-41-2001-2-11-2-2-12-12212-100003i−3i3i−3i00002-2002i−2i00-1-11100000000−i−iii0000000000
χ4544-4-44-44-41-2001-2-11-2-2-12-12212-100003i−3i3i−3i0000-2200−2i2i0011-1-100000000ii−i−i0000000000
χ4644-4-44-44-41-2001-2-11-2-2-12-12212-10000−3i3i−3i3i00002-200−2i2i00-1-11100000000ii−i−i0000000000
χ4744-4-44-44-41-2001-2-11-2-2-12-12212-10000−3i3i−3i3i0000-22002i−2i0011-1-100000000−i−iii0000000000
χ484-444-4-44-4-21002-1-2-21-1-212-112-123i−3i−3i3i00000000002-2002i−2i0000-1-111−i−iii00000000000000
χ494-444-4-44-4-21002-1-2-21-1-212-112-123i−3i−3i3i0000000000-2200−2i2i000011-1-1ii−i−i00000000000000
χ504-444-4-44-4-21002-1-2-21-1-212-112-12−3i3i3i−3i00000000002-200−2i2i0000-1-111ii−i−i00000000000000
χ514-444-4-44-4-21002-1-2-21-1-212-112-12−3i3i3i−3i0000000000-22002i−2i000011-1-1−i−iii00000000000000
χ524-44-444-4-41-24-4-12-1-12-21-2-1-22121-2-22211-1-1000000000000−i3i3−i3i300000000−i3i3−i3i30000000000
χ534-44-444-4-41-24-4-12-1-12-21-2-1-22121-2-22211-1-1000000000000i3−i3i3−i300000000i3−i3i3−i30000000000
χ544-44-444-4-41-2-44-12-1-12-21-2-1-2212122-2-2-1-111000000000000−i3i3−i3i300000000i3−i3i3−i30000000000
χ554-44-444-4-41-2-44-12-1-12-21-2-1-2212122-2-2-1-111000000000000i3−i3i3−i300000000−i3i3−i3i30000000000
χ564-44-444-4-4-214-42-122-11-2121-1-2-1-211-1-1-2-22200000000000000003−3−33−333−300000000000000
χ574-44-444-4-4-214-42-122-11-2121-1-2-1-211-1-1-2-2220000000000000000−333−33−3−3300000000000000
χ584-44-444-4-4-21-442-122-11-2121-1-2-1-2-1-11122-2-200000000000000003−3−333−3−3300000000000000
χ594-44-444-4-4-21-442-122-11-2121-1-2-1-2-1-11122-2-20000000000000000−333−3−333−300000000000000
χ604-4-444-4-441-200-121-12-2-1212-21-2-100003i−3i−3i3i000000000000−i3i3i3−i3000000003−3−330000000000
χ614-4-444-4-441-200-121-12-2-1212-21-2-100003i−3i−3i3i000000000000i3−i3−i3i300000000−333−30000000000
χ624-4-444-4-441-200-121-12-2-1212-21-2-10000−3i3i3i−3i000000000000−i3i3i3−i300000000−333−30000000000
χ634-4-444-4-441-200-121-12-2-1212-21-2-10000−3i3i3i−3i000000000000i3−i3−i3i3000000003−3−330000000000
χ644-4-444-4-444400-4-44-4-44-4-44-4444-40000000000000000000000000000000000000000000000
χ65888-8-8-8-882-4002-4-2-2442-4244-2-4-20000000000000000000000000000000000000000000000
χ6688-88-88-8-82-4002-42-244-24-2-4-4-2420000000000000000000000000000000000000000000000
χ6788-88-88-8-8-4200-42-44-2-24-24224-2-40000000000000000000000000000000000000000000000
χ6888-8-88-88-8-4200-424-4224-24-2-2-4-240000000000000000000000000000000000000000000000
χ698-888-8-88-82-400-2422-442-4-24-4-24-20000000000000000000000000000000000000000000000
χ708-8-888-8-88-42004-2-44-224-2-4-22-4240000000000000000000000000000000000000000000000
χ718-8-8-8-88882-400-24-22-44-242-44-2-420000000000000000000000000000000000000000000000
χ728-8-8-8-8888-42004-24-42-24-2-42-242-40000000000000000000000000000000000000000000000

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