Finite Group Databasebeta

← Group #11794033

Character table — Group #11794033

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222222233446666666666666612121212121212124444222244446666666612121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
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
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
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
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ112222-2-2-2-222002222-2-2-2-2-2-222-2-20000000000000000000000000000000000002i−2i22−2−2−i2−i2i2i2
χ122222-2-2-2-222002222-2-2-2-2-2-222-2-20000000000000000000000000000000000002i−2i−2−222i2i2−i2−i2
χ132222-2-2-2-222002222-2-2-2-2-2-222-2-2000000000000000000000000000000000000−2i2i22−2−2i2i2−i2−i2
χ142222-2-2-2-222002222-2-2-2-2-2-222-2-2000000000000000000000000000000000000−2i2i−2−222−i2−i2i2i2
χ1522-2-22-22-2220022-2-2222-2-2-2-2-22-20000000022-2-20000002i−2i0000000000002i2i−2i−2i0000000000
χ1622-2-22-22-2220022-2-2222-2-2-2-2-22-20000000022-2-2000000−2i2i000000000000−2i−2i2i2i0000000000
χ1722-2-22-22-2220022-2-2222-2-2-2-2-22-200000000-2-222002-20000000022-2-2000000000000000000
χ1822-2-22-22-2220022-2-2222-2-2-2-2-22-200000000-2-22200-2200000000-2-222000000000000000000
χ192-22-2-222-22200-2-22222-22-2-2-2-2-22000000002-22-200002i−2i00000000002i2i−2i−2i00000000000000
χ202-22-2-222-22200-2-22222-22-2-2-2-2-22000000002-22-20000−2i2i0000000000−2i−2i2i2i00000000000000
χ212-22-2-222-22200-2-22222-22-2-2-2-2-2200000000-22-222-200000022-2-20000000000000000000000
χ222-22-2-222-22200-2-22222-22-2-2-2-2-2200000000-22-22-22000000-2-2220000000000000000000000
χ232-2-2222-2-2222-2-2-2-2-2-2-222-2-222222222-2-2-2-20000000000000000000000000000002−22−22−22−2
χ242-2-2222-2-2222-2-2-2-2-2-2-222-2-222222222-2-2-2-2000000000000000000000000000000−22−22−22−22
χ252-2-2222-2-222-22-2-2-2-2-2-222-2-22222-2-2-2-222220000000000000000000000000000002−22−2−22−22
χ262-2-2222-2-222-22-2-2-2-2-2-222-2-22222-2-2-2-22222000000000000000000000000000000−22−222−22−2
χ272-2-22-2-2222200-2-2-2-222-2-22222-2-2000000002-2-22000000000000000000000000002-2-220000
χ282-2-22-2-2222200-2-2-2-222-2-22222-2-2000000002-2-2200000000000000000000000000-222-20000
χ292-2-22-2-2222200-2-2-2-222-2-22222-2-200000000-222-20000000000000000000000000000002i−2i−2i2i
χ302-2-22-2-2222200-2-2-2-222-2-22222-2-200000000-222-2000000000000000000000000000000−2i2i2i−2i
χ31444444441-2441-21-21-21-21-21-2-2111-2-211-2-20000002200220000-1-1-1-10000-1-1-1-10000000000
χ32444444441-2441-21-21-21-21-21-2-2111-2-211-2-2000000-2-200-2-200001111000011110000000000
χ33444444441-2-4-41-21-21-21-21-21-2-21-1-122-1-1220000002200-2-20000-1-1-1-1000011110000000000
χ34444444441-2-4-41-21-21-21-21-21-2-21-1-122-1-122000000-2-20022000011110000-1-1-1-10000000000
χ3544444444-2144-21-21-21-21-21-211-2-2-211-2-211000022002200-1-1-1-10000-1-1-1-100000000000000
χ3644444444-2144-21-21-21-21-21-211-2-2-211-2-2110000-2-200-2-20011110000111100000000000000
χ3744444444-21-4-4-21-21-21-21-21-211-222-1-122-1-100002200-2-200-1-1-1-10000111100000000000000
χ3844444444-21-4-4-21-21-21-21-21-211-222-1-122-1-10000-2-200220011110000-1-1-1-100000000000000
χ3944-4-44-44-41-2001-2-121-212-12-12-2-13i−3i003i−3i000000002-2002i−2i0000-1-1110000−i−iii0000000000
χ4044-4-44-44-41-2001-2-121-212-12-12-2-13i−3i003i−3i00000000-2200−2i2i000011-1-10000ii−i−i0000000000
χ4144-4-44-44-41-2001-2-121-212-12-12-2-1−3i3i00−3i3i000000002-200−2i2i0000-1-1110000ii−i−i0000000000
χ4244-4-44-44-41-2001-2-121-212-12-12-2-1−3i3i00−3i3i00000000-22002i−2i000011-1-10000−i−iii0000000000
χ4344-4-4-44-44440044-4-4-4-4-4444-4-4-440000000000000000000000000000000000000000000000
χ4444-4-4-44-44-2100-212-12-121-212-1-1-2003i−3i003i−3i000000000000−i3i3−i3i300003−33−300000000000000
χ4544-4-4-44-44-2100-212-12-121-212-1-1-2003i−3i003i−3i000000000000i3−i3i3−i30000−33−3300000000000000
χ4644-4-4-44-44-2100-212-12-121-212-1-1-200−3i3i00−3i3i000000000000−i3i3−i3i30000−33−3300000000000000
χ4744-4-4-44-44-2100-212-12-121-212-1-1-200−3i3i00−3i3i000000000000i3−i3i3−i300003−33−300000000000000
χ484-44-44-4-441-200-121-2-12121-2-12-2-13i−3i00−3i3i000000000000000000−i3i3−i3i300003−33−30000000000
χ494-44-44-4-441-200-121-2-12121-2-12-2-13i−3i00−3i3i000000000000000000i3−i3i3−i30000−33−330000000000
χ504-44-44-4-441-200-121-2-12121-2-12-2-1−3i3i003i−3i000000000000000000−i3i3−i3i30000−33−330000000000
χ514-44-44-4-441-200-121-2-12121-2-12-2-1−3i3i003i−3i000000000000000000i3−i3i3−i300003−33−30000000000
χ524-44-44-4-444400-4-444-4-44-444-4-44-40000000000000000000000000000000000000000000000
χ534-44-4-444-4-21002-1-21-21212-12-1-1-2003i−3i00−3i3i00002-2002i−2i00-1-1110000−i−iii00000000000000
χ544-44-4-444-4-21002-1-21-21212-12-1-1-2003i−3i00−3i3i0000-2200−2i2i0011-1-10000ii−i−i00000000000000
χ554-44-4-444-4-21002-1-21-21212-12-1-1-200−3i3i003i−3i00002-200−2i2i00-1-1110000ii−i−i00000000000000
χ564-44-4-444-4-21002-1-21-21212-12-1-1-200−3i3i003i−3i0000-22002i−2i0011-1-10000−i−iii00000000000000
χ574-4-4444-4-41-24-4-12-12-121-2-121-2-2111-2-2-1-1220000000000000000−i3i3i3−i30000−i3i3i3−i30000000000
χ584-4-4444-4-41-24-4-12-12-121-2-121-2-2111-2-2-1-1220000000000000000i3−i3−i3i30000i3−i3−i3i30000000000
χ594-4-4444-4-41-2-44-12-12-121-2-121-2-21-1-12211-2-20000000000000000−i3i3i3−i30000i3−i3−i3i30000000000
χ604-4-4444-4-41-2-44-12-12-121-2-121-2-21-1-12211-2-20000000000000000i3−i3−i3i30000−i3i3i3−i30000000000
χ614-4-4444-4-4-214-42-12-12-1-212-1-211-2-2-21122-1-1000000000000−i3i3i3−i30000−i3i3i3−i300000000000000
χ624-4-4444-4-4-214-42-12-12-1-212-1-211-2-2-21122-1-1000000000000i3−i3−i3i30000i3−i3−i3i300000000000000
χ634-4-4444-4-4-21-442-12-12-1-212-1-211-222-1-1-2-211000000000000−i3i3i3−i30000i3−i3−i3i300000000000000
χ644-4-4444-4-4-21-442-12-12-1-212-1-211-222-1-1-2-211000000000000i3−i3−i3i30000−i3i3i3−i300000000000000
χ658888-8-8-8-82-4002-42-4-24-24-242-44-20000000000000000000000000000000000000000000000
χ668888-8-8-8-8-4200-42-424-24-24-2-42-240000000000000000000000000000000000000000000000
χ6788-8-88-88-8-4200-424-2-42-4-24-24-2240000000000000000000000000000000000000000000000
χ6888-8-8-88-882-4002-4-24-24-2-42-4-24420000000000000000000000000000000000000000000000
χ698-88-88-8-88-42004-2-424-2-4-2-424-2240000000000000000000000000000000000000000000000
χ708-88-8-888-82-400-242-42-4-2-4-24-24420000000000000000000000000000000000000000000000
χ718-8-88-8-8882-400-24-242-4-242-42-44-20000000000000000000000000000000000000000000000
χ728-8-88-8-888-42004-24-2-424-2-42-42-240000000000000000000000000000000000000000000000

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