Finite Group Databasebeta

← Group #11865505

Character table — Group #11865505

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order1222444433466666612121212121212121212121212122222222244444444444466661212121248888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111111-1-1-1-111-1-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-111-1-11-1-1-1-11111-1-111
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111-1-1-1-1111111-1-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111111-1-1-1-1-1-111
χ91111-1-11111-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1111-11-11111-1-1-1-1-111-1-111-1-11-11-1
χ101111-1-11111-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-11-111111-1-1-1-1-1-1-111-1-111-11-11
χ111111-1-11111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-111-1-1111-11-1
χ121111-1-11111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-11-11-1-1-1-11111-111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-111-111-1-1-1-1111-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-111-111-1-1-1-111-1-1-11111-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-11-1-11111-1-1-1-1-11111-1-11-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-111-1-1-1-111-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-222220000000022-2-2000000000000-2000000000000
χ192222-2-22222-2222222-2-2-2-2-2-222-2-2-2-222-2-2-2-20000000022-2-20000000000002000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2222200000000-2-2-2-20000000000002000000000000
χ212-22-22-2002202-2-2-22-222-2-22-20000000022-2-2000000002-2000000000000000i2−i2i2−i2i2−i2i2−i20000
χ222-22-22-2002202-2-2-22-222-2-22-20000000022-2-2000000002-2000000000000000−i2i2−i2i2−i2i2−i2i20000
χ232-22-22-2002202-2-2-22-222-2-22-200000000-2-22200000000-22000000000000000i2−i2i2−i2−i2i2−i2i20000
χ242-22-22-2002202-2-2-22-222-2-22-200000000-2-22200000000-22000000000000000−i2i2−i2i2i2−i2i2−i20000
χ252-22-2-22002202-2-2-22-2-2-222-220000000022-2-200000000-22000000000000000i2−i2−i2i2i2−i2−i2i20000
χ262-22-2-22002202-2-2-22-2-2-222-220000000022-2-200000000-22000000000000000−i2i2i2−i2−i2i2i2−i20000
χ272-22-2-22002202-2-2-22-2-2-222-2200000000-2-222000000002-2000000000000000i2−i2−i2i2−i2i2i2−i20000
χ282-22-2-22002202-2-2-22-2-2-222-2200000000-2-222000000002-2000000000000000−i2i2i2−i2i2−i2−i2i20000
χ292-2-22002-2220-2-22-2-220000002-200002-22-22-200002i−2i2i−2i002-2000000002i−2i2i−2i0000000000000
χ302-2-22002-2220-2-22-2-220000002-200002-22-22-20000−2i2i−2i2i002-200000000−2i2i−2i2i0000000000000
χ312-2-22002-2220-2-22-2-220000002-200002-2-22-222-22-2000000-2200002-22-200000000000000000
χ322-2-22002-2220-2-22-2-220000002-200002-2-22-22-22-22000000-220000-22-2200000000000000000
χ332-2-2200-22220-2-22-2-22000000-220000-222-22-22-2-22000000-2200002-2-2200000000000000000
χ342-2-2200-22220-2-22-2-22000000-220000-222-22-2-222-2000000-220000-222-200000000000000000
χ352-2-2200-22220-2-22-2-22000000-220000-22-22-2200002i−2i−2i2i002-2000000002i−2i−2i2i0000000000000
χ362-2-2200-22220-2-22-2-22000000-220000-22-22-220000−2i2i2i−2i002-200000000−2i2i2i−2i0000000000000
χ37444444441-2411-2-2-21-2-2-2-211-2-211-2-2110000000000000000222200000000000000000-1-1-1-1
χ38444444441-2411-2-2-21-2-2-2-211-2-211-2-2110000000000000000-2-2-2-2000000000000000001111
χ3944444444-214-2-2111-21111-2-211-2-211-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-2-2111-21111-2-211-2-211-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-41-2-411-2-2-21-2-2-2-21122-1-122-1-1000000000000000022-2-200000000000000000-1-111
χ42444444-4-41-2-411-2-2-21-2-2-2-21122-1-122-1-10000000000000000-2-2220000000000000000011-1-1
χ43444444-4-4-21-4-2-2111-21111-2-2-1-122-1-122000022-2-222-2-200000000-1-111-1-1110000000000000
χ44444444-4-4-21-4-2-2111-21111-2-2-1-122-1-1220000-2-222-2-2220000000011-1-111-1-10000000000000
χ454444-4-4441-2-411-2-2-212222-1-1-2-2-1-1221100000000000000002-22-200000000000000000-11-11
χ464444-4-4441-2-411-2-2-212222-1-1-2-2-1-122110000000000000000-22-22000000000000000001-11-1
χ474444-4-444-21-4-2-2111-2-1-1-1-1221122-1-1-2-200002222-2-2-2-200000000-1-1-1-111110000000000000
χ484444-4-444-21-4-2-2111-2-1-1-1-1221122-1-1-2-20000-2-2-2-22222000000001111-1-1-1-10000000000000
χ494444-4-4-4-41-2411-2-2-212222-1-12211-2-2-1-100000000000000002-2-2200000000000000000-111-1
χ504444-4-4-4-41-2411-2-2-212222-1-12211-2-2-1-10000000000000000-222-2000000000000000001-1-11
χ514444-4-4-4-4-214-2-2111-2-1-1-1-122-1-1-2-21122000022-2-2-2-22200000000-1-11111-1-10000000000000
χ524444-4-4-4-4-214-2-2111-2-1-1-1-122-1-1-2-211220000-2-22222-2-20000000011-1-1-1-1110000000000000
χ5344-4-40000440-44-44-4-4000000000000004-4-440000000000000000000000000000000000000
χ5444-4-40000440-44-44-4-400000000000000-444-40000000000000000000000000000000000000
χ554-4-44004-4-210221-1-1-23i−3i3i−3i001-1003i−3i-2200002-22-22i−2i2i−2i00000000-11-11−ii−ii0000000000000
χ564-4-44004-4-210221-1-1-23i−3i3i−3i001-1003i−3i-220000-22-22−2i2i−2i2i000000001-11-1i−ii−i0000000000000
χ574-4-44004-4-210221-1-1-2−3i3i−3i3i001-100−3i3i-2200002-22-2−2i2i−2i2i00000000-11-11i−ii−i0000000000000
χ584-4-44004-4-210221-1-1-2−3i3i−3i3i001-100−3i3i-220000-22-222i−2i2i−2i000000001-11-1−ii−ii0000000000000
χ594-4-4400-44-210221-1-1-23i−3i3i−3i00-1100−3i3i2-200002-2-222i−2i−2i2i00000000-111-1−iii−i0000000000000
χ604-4-4400-44-210221-1-1-23i−3i3i−3i00-1100−3i3i2-20000-222-2−2i2i2i−2i000000001-1-11i−i−ii0000000000000
χ614-4-4400-44-210221-1-1-2−3i3i−3i3i00-11003i−3i2-200002-2-22−2i2i2i−2i00000000-111-1i−i−ii0000000000000
χ624-4-4400-44-210221-1-1-2−3i3i−3i3i00-11003i−3i2-20000-222-22i−2i−2i2i000000001-1-11−iii−i0000000000000
χ6388-8-800002-40-224-44-2000000006-6000000000000000000000000000000000000000000000
χ6488-8-800002-40-224-44-200000000-66000000000000000000000000000000000000000000000
χ6588-8-80000-4204-4-22-246i−6i−6i6i000000000000000000000000000000000000000000000000000
χ6688-8-80000-4204-4-22-24−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ678-88-88-8002-402-244-4-2-4-4442-20000000000000000000000000000000000000000000000000
χ688-88-88-800-420-44-2-22422-2-2-440000000000000000000000000000000000000000000000000
χ698-88-8-88002-402-244-4-244-4-4-220000000000000000000000000000000000000000000000000
χ708-88-8-8800-420-44-2-224-2-2224-40000000000000000000000000000000000000000000000000
χ718-8-88008-82-40-2-2-4442000000-4400002-200000000000000000000000000000000000000000
χ728-8-8800-882-40-2-2-44420000004-40000-2200000000000000000000000000000000000000000

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