Finite Group Databasebeta

← Group #11868633

Character table — Group #11868633

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12222244334666666121212126666121212121212444422444444444444446612121212121248888888812121212
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
χ5111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-11-1-111-11-11111-1-1-1-1-11111-1-1-1-11-11-1
χ6111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-11-1-11-11-111111-1-1-1-1-1-1-1-1-11111-11-11
χ7111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-111-11-1-1-1-1-11111-1-1-1-1-111111-11-1
χ8111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-11-11-11-1-1-1-11111-11111-1-1-1-1-11-11
χ91111-1-11111-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-111111-1-111-1-1-111-1
χ101111-1-11111-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-11-111-111-1-1-1-1111-1-111-1-1111-1-11
χ111111-1-11111-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-11111-1-11-1-111-1-111-111-1
χ121111-1-11111-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-11-111-1-1-11111-1-1111-1-111-1-11-1-11
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-111-1-1-1-111-1-111
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-11111-1-111-1-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-11111-1-1-1-111
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-111-1-1-1-11111-1-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000-222-20000000000002000000000000
χ192222-2-22222-22222222222-2-2-2-2-2-222-2-2222200000000-222-2000000000000-2000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-222222200000000-2-2-2-20000000000002000000000000
χ212-22-22-20022022-2-2-2-200002-22-200000022-2-2002i−2i002i−2i-2002000000002i−2i2i−2i0000000000000
χ222-22-22-20022022-2-2-2-200002-22-200000022-2-200−2i2i00−2i2i-200200000000−2i2i−2i2i0000000000000
χ232-22-22-20022022-2-2-2-200002-22-2000000-2-2222-2002-200200-200002-22-200000000000000000
χ242-22-22-20022022-2-2-2-200002-22-2000000-2-222-2200-2200200-20000-22-2200000000000000000
χ252-22-2-220022022-2-2-2-20000-22-2200000022-2-22-200-2200200-200002-2-2200000000000000000
χ262-22-2-220022022-2-2-2-20000-22-2200000022-2-2-22002-200200-20000-222-200000000000000000
χ272-22-2-220022022-2-2-2-20000-22-22000000-2-222002i−2i00−2i2i-200200000000−2i2i2i−2i0000000000000
χ282-22-2-220022022-2-2-2-20000-22-22000000-2-22200−2i2i002i−2i-2002000000002i−2i−2i2i0000000000000
χ292-2-22002i−2i220-2-22-22-22i2i−2i−2i0000002i−2i002i−2i2i−2i0000000002-200000000000000i2−i22−22−2i2−i20000
χ302-2-22002i−2i220-2-22-22-22i2i−2i−2i0000002i−2i002i−2i2i−2i0000000002-200000000000000−i2i2−22−22−i2i20000
χ312-2-22002i−2i220-2-22-22-22i2i−2i−2i0000002i−2i00−2i2i−2i2i000000000-2200000000000000i2−i2−222−2−i2i20000
χ322-2-22002i−2i220-2-22-22-22i2i−2i−2i0000002i−2i00−2i2i−2i2i000000000-2200000000000000−i2i22−2−22i2−i20000
χ332-2-2200−2i2i220-2-22-22-2−2i−2i2i2i000000−2i2i002i−2i2i−2i000000000-2200000000000000i2−i22−2−22−i2i20000
χ342-2-2200−2i2i220-2-22-22-2−2i−2i2i2i000000−2i2i002i−2i2i−2i000000000-2200000000000000−i2i2−222−2i2−i20000
χ352-2-2200−2i2i220-2-22-22-2−2i−2i2i2i000000−2i2i00−2i2i−2i2i0000000002-200000000000000i2−i2−22−22i2−i20000
χ362-2-2200−2i2i220-2-22-22-2−2i−2i2i2i000000−2i2i00−2i2i−2i2i0000000002-200000000000000−i2i22−22−2−i2i20000
χ37444444441-241-2-2-211-2-2-2-211-2-2-2-211110000000000000000222200000000000000000-1-1-1-1
χ38444444441-241-2-2-211-2-2-2-211-2-2-2-211110000000000000000-2-2-2-2000000000000000001111
χ3944444444-214-2111-2-21111-2-21111-2-2-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ4044444444-214-2111-2-21111-2-21111-2-2-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ41444444-4-41-2-41-2-2-211222211-2-222-1-1-1-100000000000000002-22-200000000000000000-11-11
χ42444444-4-41-2-41-2-2-211222211-2-222-1-1-1-10000000000000000-22-22000000000000000001-11-1
χ43444444-4-4-21-4-2111-2-2-1-1-1-1-2-211-1-12222000022-2-222-2-200000000-1-1-1-111110000000000000
χ44444444-4-4-21-4-2111-2-2-1-1-1-1-2-211-1-122220000-2-222-2-222000000001111-1-1-1-10000000000000
χ454444-4-4441-2-41-2-2-211-2-2-2-2-1-1222211-1-100000000000000002-2-22000000000000000001-1-11
χ464444-4-4441-2-41-2-2-211-2-2-2-2-1-1222211-1-10000000000000000-222-200000000000000000-111-1
χ474444-4-444-21-4-2111-2-2111122-1-1-1-1-2-22200002222-2-2-2-200000000-1-11111-1-10000000000000
χ484444-4-444-21-4-2111-2-2111122-1-1-1-1-2-2220000-2-2-2-222220000000011-1-1-1-1110000000000000
χ494444-4-4-4-41-241-2-2-2112222-1-122-2-2-1-111000000000000000022-2-20000000000000000011-1-1
χ504444-4-4-4-41-241-2-2-2112222-1-122-2-2-1-1110000000000000000-2-22200000000000000000-1-111
χ514444-4-4-4-4-214-2111-2-2-1-1-1-122-1-11122-2-2000022-2-2-2-22200000000-1-111-1-1110000000000000
χ524444-4-4-4-4-214-2111-2-2-1-1-1-122-1-11122-2-20000-2-22222-2-20000000011-1-111-1-10000000000000
χ5344-4-40000440-4-4-44-44000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ5444-4-40000440-4-4-44-4400000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ554-44-44-400-210-21-1-1223i−3i3i−3i-221-13i−3i000000002-22i−2i2-22i−2i00000000-11-11−ii−ii0000000000000
χ564-44-44-400-210-21-1-1223i−3i3i−3i-221-13i−3i00000000-22−2i2i-22−2i2i000000001-11-1i−ii−i0000000000000
χ574-44-44-400-210-21-1-122−3i3i−3i3i-221-1−3i3i000000002-2−2i2i2-2−2i2i00000000-11-11i−ii−i0000000000000
χ584-44-44-400-210-21-1-122−3i3i−3i3i-221-1−3i3i00000000-222i−2i-222i−2i000000001-11-1−ii−ii0000000000000
χ594-44-4-4400-210-21-1-1223i−3i3i−3i2-2-11−3i3i000000002-22i−2i-22−2i2i00000000-111-1i−i−ii0000000000000
χ604-44-4-4400-210-21-1-1223i−3i3i−3i2-2-11−3i3i00000000-22−2i2i2-22i−2i000000001-1-11−iii−i0000000000000
χ614-44-4-4400-210-21-1-122−3i3i−3i3i2-2-113i−3i000000002-2−2i2i-222i−2i00000000-111-1−iii−i0000000000000
χ624-44-4-4400-210-21-1-122−3i3i−3i3i2-2-113i−3i00000000-222i−2i2-2−2i2i000000001-1-11i−i−ii0000000000000
χ6388-8-800002-40-244-4-220000000000006-600000000000000000000000000000000000000000
χ6488-8-800002-40-244-4-22000000000000-6600000000000000000000000000000000000000000
χ6588-8-80000-4204-2-224-46-6-66000000000000000000000000000000000000000000000000000
χ6688-8-80000-4204-2-224-4-666-6000000000000000000000000000000000000000000000000000
χ678-88-88-8002-402-444-2-200002-2-4400000000000000000000000000000000000000000000000
χ688-88-8-88002-402-444-2-20000-224-400000000000000000000000000000000000000000000000
χ698-8-88008i−8i2-40-24-442-2−4i−4i4i4i0000002i−2i0000000000000000000000000000000000000000000
χ708-8-88008i−8i-4204-22-2-442i2i−2i−2i000000−4i4i0000000000000000000000000000000000000000000
χ718-8-8800−8i8i2-40-24-442-24i4i−4i−4i000000−2i2i0000000000000000000000000000000000000000000
χ728-8-8800−8i8i-4204-22-2-44−2i−2i2i2i0000004i−4i0000000000000000000000000000000000000000000

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