Finite Group Databasebeta

← Group #11787949

Character table — Group #11787949

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order122222223366666666666666666666662222444444442222446666121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-1-1111-1-1-1-111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111-1-1111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ91-1-11-111-111111-1-111-1-1-1-1-1-111-11-111-1-111-1-1ii−i−iii−i−i11-1-11-111-1-111-1-1ii−i−iii−i−i1-1i−ii−i
χ101-1-11-111-111111-1-111-1-1-1-1-1-111-11-111-1-111-1-1−i−iii−i−iii11-1-11-111-1-111-1-1−i−iii−i−iii1-1−ii−ii
χ111-1-11-111-111111-1-111-1-1-1-1-1-111-11-111-1-1-1-111ii−i−iii−i−i11-1-1-11-1-111-1-111ii−i−iii−i−i1-1−ii−ii
χ121-1-11-111-111111-1-111-1-1-1-1-1-111-11-111-1-1-1-111−i−iii−i−iii11-1-1-11-1-111-1-111−i−iii−i−iii1-1i−ii−i
χ131-1-11-11-11111-1-11111-1-1-1-1-1-111-1-11-1-11111-1-1ii−i−i−i−iii11-1-1-1111-1-1-1-111ii−i−i−i−iii-11i−i−ii
χ141-1-11-11-11111-1-11111-1-1-1-1-1-111-1-11-1-11111-1-1−i−iiiii−i−i11-1-1-1111-1-1-1-111−i−iiiii−i−i-11−iii−i
χ151-1-11-11-11111-1-11111-1-1-1-1-1-111-1-11-1-111-1-111ii−i−i−i−iii11-1-11-1-1-11111-1-1ii−i−i−i−iii-11−iii−i
χ161-1-11-11-11111-1-11111-1-1-1-1-1-111-1-11-1-111-1-111−i−iiiii−i−i11-1-11-1-1-11111-1-1−i−iiiii−i−i-11i−i−ii
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ18222222-2-2222-2-2-2-222222222222-2-2-2-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-20022200002-222-2-222-2-2-2000000000000002-22-22-22-2000000000000002-22-2000000
χ202222-2-20022200002-222-2-222-2-2-200000000000000-22-222-22-200000000000000-22-22000000
χ212222-2-20022200002-222-2-222-2-2-200000000002-22-20000-22-2200000000002-22-20000000000
χ222222-2-20022200002-222-2-222-2-2-20000000000-22-220000-22-220000000000-22-220000000000
χ232-2-222-20022200002-2-2-222-2-2-2-22000000000000002i−2i−2i2i2-2-22000000000000002i−2i−2i2i000000
χ242-2-222-20022200002-2-2-222-2-2-2-2200000000000000−2i2i2i−2i2-2-2200000000000000−2i2i2i−2i000000
χ252-2-222-20022200002-2-2-222-2-2-2-2200000000002i−2i−2i2i0000-222-200000000002i−2i−2i2i0000000000
χ262-2-222-20022200002-2-2-222-2-2-2-220000000000−2i2i2i−2i0000-222-20000000000−2i2i2i−2i0000000000
χ272-2-22-222-222222-2-222-2-2-2-2-2-222-22-222-2-2000000000000-2-222000000000000000000-220000
χ282-2-22-22-22222-2-22222-2-2-2-2-2-222-2-22-2-222000000000000-2-2220000000000000000002-20000
χ29444444441-211111-2-2-2-2-2-211-21111-2-2-2-200002222222200000000000000-1-1-1-1-1-1-1-1000000
χ30444444441-211111-2-2-2-2-2-211-21111-2-2-2-20000-2-2-2-2-2-2-2-20000000000000011111111000000
χ3144444444-21-2-2-2-2-2111111-2-21-2-2-2-21111222200000000000022-1-1-1-1-1-1-1-100000000000000
χ3244444444-21-2-2-2-2-2111111-2-21-2-2-2-21111-2-2-2-2000000000000-2-21111111100000000000000
χ33444444-4-41-21-1-1-1-1-2-2-2-2-2-211-211-1-1222200002222-2-2-2-200000000000000-1-1-1-11111000000
χ34444444-4-41-21-1-1-1-1-2-2-2-2-2-211-211-1-122220000-2-2-2-22222000000000000001111-1-1-1-1000000
χ35444444-4-4-21-22222111111-2-21-2-222-1-1-1-12222000000000000-2-2-1-1-1-1111100000000000000
χ36444444-4-4-21-22222111111-2-21-2-222-1-1-1-1-2-2-2-2000000000000221111-1-1-1-100000000000000
χ374444-4-4001-213333-22-2-222112-1-1-3-3000000002-22-22-22-200000000000000-11-11-11-11000000
χ384444-4-4001-213333-22-2-222112-1-1-3-300000000-22-22-22-22000000000000001-11-11-11-1000000
χ394444-4-4001-21-3-3-3-3-22-2-222112-1-133000000002-22-2-22-2200000000000000-11-111-11-1000000
χ404444-4-4001-21-3-3-3-3-22-2-222112-1-13300000000-22-222-22-2000000000000001-11-1-11-11000000
χ4144-4-4000044-40000-404-4004-40000000002-22-2000000000000002-22-2000000000000000000
χ4244-4-4000044-40000-404-4004-4000000000-22-2200000000000000-22-22000000000000000000
χ4344-4-40000-212−2i32i3−2i32i3-131-13-3-22-30000−i3i3−i3i32-22-200000000000000-11-11−i3i3−i3i300000000000000
χ4444-4-40000-212−2i32i3−2i32i3-131-13-3-22-30000−i3i3−i3i3-22-22000000000000001-11-1i3−i3i3−i300000000000000
χ4544-4-40000-2122i3−2i32i3−2i3-131-13-3-22-30000i3−i3i3−i32-22-200000000000000-11-11i3−i3i3−i300000000000000
χ4644-4-40000-2122i3−2i32i3−2i3-131-13-3-22-30000i3−i3i3−i3-22-22000000000000001-11-1−i3i3−i3i300000000000000
χ474-44-4000044-40000-40-4400-440000000002-2-22000000000000002-2-22000000000000000000
χ484-44-4000044-40000-40-4400-44000000000-222-200000000000000-222-2000000000000000000
χ494-44-40000-212−2i32i32i3−2i3-13-11-332-2-30000−i3i3i3−i32-2-2200000000000000-111-1−i3i3i3−i300000000000000
χ504-44-40000-212−2i32i32i3−2i3-13-11-332-2-30000−i3i3i3−i3-222-2000000000000001-1-11i3−i3−i3i300000000000000
χ514-44-40000-2122i3−2i3−2i32i3-13-11-332-2-30000i3−i3−i3i32-2-2200000000000000-111-1i3−i3−i3i300000000000000
χ524-44-40000-2122i3−2i3−2i32i3-13-11-332-2-30000i3−i3−i3i3-222-2000000000000001-1-11−i3i3i3−i300000000000000
χ534-4-444-4001-2133-3-3-2222-2-2-1-12-11-33000000002i−2i−2i2i2i−2i−2i2i00000000000000−iii−i−iii−i000000
χ544-4-444-4001-2133-3-3-2222-2-2-1-12-11-3300000000−2i2i2i−2i−2i2i2i−2i00000000000000i−i−iii−i−ii000000
χ554-4-444-4001-21-3-333-2222-2-2-1-12-113-3000000002i−2i−2i2i−2i2i2i−2i00000000000000−iii−ii−i−ii000000
χ564-4-444-4001-21-3-333-2222-2-2-1-12-113-300000000−2i2i2i−2i2i−2i−2i2i00000000000000i−i−ii−iii−i000000
χ574-4-44-444-41-2111-1-1-2-22222-1-1-21-11-1-2-22200002i2i−2i−2i2i2i−2i−2i00000000000000−i−iii−i−iii000000
χ584-4-44-444-41-2111-1-1-2-22222-1-1-21-11-1-2-2220000−2i−2i2i2i−2i−2i2i2i00000000000000ii−i−iii−i−i000000
χ594-4-44-444-4-21-2-2-22211-1-1-1-1221-22-2211-1-122-2-20000000000002-2-1-111-1-11100000000000000
χ604-4-44-444-4-21-2-2-22211-1-1-1-1221-22-2211-1-1-2-222000000000000-2211-1-111-1-100000000000000
χ614-4-44-44-441-21-1-111-2-22222-1-1-21-1-1122-2-200002i2i−2i−2i−2i−2i2i2i00000000000000−i−iiiii−i−i000000
χ624-4-44-44-441-21-1-111-2-22222-1-1-21-1-1122-2-20000−2i−2i2i2i2i2i−2i−2i00000000000000ii−i−i−i−iii000000
χ634-4-44-44-44-21-222-2-211-1-1-1-1221-222-2-1-11122-2-2000000000000-22-1-11111-1-100000000000000
χ644-4-44-44-44-21-222-2-211-1-1-1-1221-222-2-1-111-2-2220000000000002-211-1-1-1-11100000000000000
χ658888-8-800-42-400002-222-2-2-4-4-2440000000000000000000000000000000000000000000000
χ6688-8-800002-4-2−2i32i3−2i32i340-44002-2000002i3−2i32i3−2i30000000000000000000000000000000000000000
χ6788-8-800002-4-22i3−2i32i3−2i340-44002-200000−2i32i3−2i32i30000000000000000000000000000000000000000
χ6888-8-80000-4240000-2-62-2-66-446000000000000000000000000000000000000000000000000
χ698-88-800002-4-2−2i32i32i3−2i3404-400-22000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ708-88-800002-4-22i3−2i3−2i32i3404-400-2200000−2i32i32i3−2i30000000000000000000000000000000000000000
χ718-88-80000-4240000-2-6-226-64-46000000000000000000000000000000000000000000000000
χ728-8-888-800-42-400002-2-2-22244-24-40000000000000000000000000000000000000000000000

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