Finite Group Databasebeta

← Group #11795095

Character table — Group #11795095

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ11222-22-2-2-2222-22222-2-2-2-2-222-2-2-22222-2-2-2-200000000000000000000000000000022−2−222−2−2
χ12222-22-2-2-2222-22222-2-2-2-2-222-2-2-22222-2-2-2-2000000000000000000000000000000−2−222−2−222
χ13222-22-2-2-222-222222-2-2-2-2-222-2-2-2-2-2-2-2222200000000000000000000000000000022−2−2−2−222
χ14222-22-2-2-222-222222-2-2-2-2-222-2-2-2-2-2-2-22222000000000000000000000000000000−2−22222−2−2
χ1522-22-22-2-2220022-2-22222-2-2-2-2-2-2000000002-22-20000000000000000000000000000002-22-2
χ1622-22-22-2-2220022-2-22222-2-2-2-2-2-2000000002-22-2000000000000000000000000000000-22-22
χ1722-22-22-2-2220022-2-22222-2-2-2-2-2-200000000-22-22000000000000000000000000002-22-20000
χ1822-22-22-2-2220022-2-22222-2-2-2-2-2-200000000-22-2200000000000000000000000000-22-220000
χ1922-2-2-2-222220022-2-2-2-2-2-22-2-22220000000000000000000000000000000000002-22−2−222−2−22
χ2022-2-2-2-222220022-2-2-2-2-2-22-2-22220000000000000000000000000000000000002-2−222−2−222−2
χ2122-2-2-2-222220022-2-2-2-2-2-22-2-2222000000000000000000000000000000000000-222−2−22−222−2
χ2222-2-2-2-222220022-2-2-2-2-2-22-2-2222000000000000000000000000000000000000-22−222−22−2−22
χ232-22-2-22-222200-2-22222-2-2-2-2-22-220000000022-2-22i−2i0000002i2i−2i−2i0000000000000000000000
χ242-22-2-22-222200-2-22222-2-2-2-2-22-220000000022-2-2−2i2i000000−2i−2i2i2i0000000000000000000000
χ252-22-2-22-222200-2-22222-2-2-2-2-22-2200000000-2-222002-20000000022-2-2000000000000000000
χ262-22-2-22-222200-2-22222-2-2-2-2-22-2200000000-2-22200-2200000000-2-222000000000000000000
χ272-2-2-2222-22200-2-2-2-222-2-2222-22-2000000002-2-220000002i−2i0000000000002i2i−2i−2i0000000000
χ282-2-2-2222-22200-2-2-2-222-2-2222-22-2000000002-2-22000000−2i2i000000000000−2i−2i2i2i0000000000
χ292-2-2-2222-22200-2-2-2-222-2-2222-22-200000000-222-200002i−2i00000000002i2i−2i−2i00000000000000
χ302-2-2-2222-22200-2-2-2-222-2-2222-22-200000000-222-20000−2i2i0000000000−2i−2i2i2i00000000000000
χ31444444441-2441-21-21-21-211-2-2-2111-2-211-2-200000000222200000000-1-1-1-1-1-1-1-10000000000
χ32444444441-2441-21-21-21-211-2-2-2111-2-211-2-200000000-2-2-2-200000000111111110000000000
χ33444444441-2-4-41-21-21-21-211-2-2-21-1-122-1-1220000000022-2-200000000-1-1-1-111110000000000
χ34444444441-2-4-41-21-21-21-211-2-2-21-1-122-1-12200000000-2-222000000001111-1-1-1-10000000000
χ3544444444-2144-21-21-21-21-2-2111-2-2-211-2-211000022220000-1-1-1-1-1-1-1-1000000000000000000
χ3644444444-2144-21-21-21-21-2-2111-2-2-211-2-2110000-2-2-2-2000011111111000000000000000000
χ3744444444-21-4-4-21-21-21-21-2-2111-222-1-122-1-1000022-2-20000-1-1-1-11111000000000000000000
χ3844444444-21-4-4-21-21-21-21-2-2111-222-1-122-1-10000-2-22200001111-1-1-1-1000000000000000000
χ39444-44-4-4-41-24-41-21-2-12-12-11-222-111-2-2-1-122000000000000000000003−33−33−33−30000000000
χ40444-44-4-4-41-24-41-21-2-12-12-11-222-111-2-2-1-12200000000000000000000−33−33−33−330000000000
χ41444-44-4-4-41-2-441-21-2-12-12-11-222-1-1-12211-2-2000000000000000000003−33−3−33−330000000000
χ42444-44-4-4-41-2-441-21-2-12-12-11-222-1-1-12211-2-200000000000000000000−33−333−33−30000000000
χ43444-44-4-4-4-214-4-21-212-12-12-21-1-12-2-21122-1-10000000000003−33−33−33−3000000000000000000
χ44444-44-4-4-4-214-4-21-212-12-12-21-1-12-2-21122-1-1000000000000−33−33−33−33000000000000000000
χ45444-44-4-4-4-21-44-21-212-12-12-21-1-1222-1-1-2-2110000000000003−33−3−33−33000000000000000000
χ46444-44-4-4-4-21-44-21-212-12-12-21-1-1222-1-1-2-211000000000000−33−333−33−3000000000000000000
χ474-444-4-44-44400-4-444-4-4444-4-4-44-40000000000000000000000000000000000000000000000
χ484-444-4-44-4-21002-1-212-1-21-22-1-112003i−3i003i−3i000000000000−i3i3i3−i33−3−33000000000000000000
χ494-444-4-44-4-21002-1-212-1-21-22-1-112003i−3i003i−3i000000000000i3−i3−i3i3−333−3000000000000000000
χ504-444-4-44-4-21002-1-212-1-21-22-1-11200−3i3i00−3i3i000000000000−i3i3i3−i3−333−3000000000000000000
χ514-444-4-44-4-21002-1-212-1-21-22-1-11200−3i3i00−3i3i000000000000i3−i3−i3i33−3−33000000000000000000
χ524-44-4-44-44-21002-1-21-212-122-11-1-2003i−3i00−3i3i00002i−2i-220000−i−iii11-1-1000000000000000000
χ534-44-4-44-44-21002-1-21-212-122-11-1-2003i−3i00−3i3i0000−2i2i2-20000ii−i−i-1-111000000000000000000
χ544-44-4-44-44-21002-1-21-212-122-11-1-200−3i3i003i−3i00002i−2i2-20000−i−iii-1-111000000000000000000
χ554-44-4-44-44-21002-1-21-212-122-11-1-200−3i3i003i−3i0000−2i2i-220000ii−i−i11-1-1000000000000000000
χ564-4-444-4-441-200-12-12-121-2-11-2-2213-3003-30000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ574-4-444-4-441-200-12-12-121-2-11-2-2213-3003-30000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ584-4-444-4-441-200-12-12-121-2-11-2-221-3300-330000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ594-4-444-4-441-200-12-12-121-2-11-2-221-3300-330000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ604-4-444-4-444400-4-4-4-4-4-444-4444-440000000000000000000000000000000000000000000000
χ614-4-4-4444-41-200-12-121-2-1211-22-2-13-300-3300000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ624-4-4-4444-41-200-12-121-2-1211-22-2-13-300-330000000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ634-4-4-4444-41-200-12-121-2-1211-22-2-1-33003-300000000002i−2i−2i2i00000000−i−iiiii−i−i0000000000
χ644-4-4-4444-41-200-12-121-2-1211-22-2-1-33003-30000000000−2i2i2i−2i00000000ii−i−i−i−iii0000000000
χ6588-88-88-8-82-4002-4-242-42-4-2-2444-20000000000000000000000000000000000000000000000
χ6688-88-88-8-8-4200-424-2-42-4244-2-2-240000000000000000000000000000000000000000000000
χ6788-8-8-8-8882-4002-4-24-24-242-24-4-420000000000000000000000000000000000000000000000
χ6888-8-8-8-888-4200-424-24-24-2-44-222-40000000000000000000000000000000000000000000000
χ698-888-8-88-82-400-242-4-242-42-244-4-20000000000000000000000000000000000000000000000
χ708-88-8-88-882-400-242-42-4-24-2-24-4420000000000000000000000000000000000000000000000
χ718-8-888-8-88-42004-24-24-2-424-422-2-40000000000000000000000000000000000000000000000
χ728-8-8-8888-8-42004-24-2-424-2-4-42-2240000000000000000000000000000000000000000000000

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