Finite Group Databasebeta

← Group #72220543

Character table — Group #72220543

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224488889999121212121616161616161818181818182424242424242424242436363636363636363636363648484848484872727272727272727272144144
order12222244366622222222661212121222444422444466664444888888886612121212444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ5111111-1-111111111111111-1-1-1-111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ6111111-1-111111111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111-1-111111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ8111111-1-111111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ91111-1-11-1111111111111-1-111-1-1-1-11111-1-111-1-111111-1-1-11111-1-1-1-1-1-111-1-11-111-1-111-1-11-1
χ101111-1-11-1111111111111-1-111-1-1-1-11111-1-111-1-111111-1-1-1-1-1-1-11111-1-111-1-11-1-1-111-1-111-11
χ111111-1-11-111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11-1-1-11111-1-1-1-111-1-1111-1-1-11111-1-1-11
χ121111-1-11-111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-1111-111-1-1-1-1111-1
χ131111-1-1-11111111111111-1-1-1-111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-111-11
χ141111-1-1-11111111111111-1-1-1-111-1-11111-1-1-1-1111111-11-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-11-1
χ151111-1-1-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-11-1-111-1-1111-1
χ161111-1-1-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11
χ172222222222222222000022222222-2-2-2-2000000000022-2-200000000000000-2-20000000000
χ18222222222222-2-2-2-20000222222-2-200000000000000-2-200i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ19222222222222-2-2-2-20000222222-2-200000000000000-2-200−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ20222222-2-222222222000022-2-2-2-222-2-2-2-20000000000-2-2-2-200000000000000220000000000
χ21222222-2-22222-2-2-2-2000022-2-2-2-2-2-2000000000000002200i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ22222222-2-22222-2-2-2-2000022-2-2-2-2-2-2000000000000002200−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200
χ232222-2-22-2222222220000-2-222-2-2-2-2-2-2-2-200000000002-22200000000000000-220000000000
χ242222-2-22-22222-2-2-2-20000-2-222-2-22200000000000000-2200i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ252222-2-22-22222-2-2-2-20000-2-222-2-22200000000000000-2200−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ262222-2-2-22222222220000-2-2-2-222-2-2-2-2-2-20000000000-2222000000000000002-20000000000
χ272222-2-2-222222-2-2-2-20000-2-2-2-22222000000000000002-200i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ282222-2-2-222222-2-2-2-20000-2-2-2-22222000000000000002-200−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ2922-2-22-20022-2-2-2-22200002-200002-222-2-2002i−2i2i−2i0000002-200000000002i−2i2i−2i000000000000
χ3022-2-22-20022-2-2-2-22200002-200002-222-2-200−2i2i−2i2i0000002-20000000000−2i2i−2i2i000000000000
χ3122-2-22-20022-2-2-2-22222-2-22-200002-2-2-2222-2000022-2-200-22000000002-20000000000000000
χ3222-2-22-20022-2-2-2-222-2-2222-200002-2-2-222-220000-2-22200-2200000000-220000000000000000
χ3322-2-2-220022-2-2-2-2220000-220000-2222-2-2002i−2i−2i2i000000-2200000000002i−2i−2i2i000000000000
χ3422-2-2-220022-2-2-2-2220000-220000-2222-2-200−2i2i2i−2i000000-220000000000−2i2i2i−2i000000000000
χ3522-2-2-220022-2-2-2-22222-2-2-220000-22-2-222-22000022-2-2002-200000000-220000000000000000
χ3622-2-2-220022-2-2-2-222-2-222-220000-22-2-2222-20000-2-222002-2000000002-20000000000000000
χ372-22-200002-22-22-2-222-22-2000000002-2-220000002-22-2000000002-22-200000000002-2000000
χ382-22-200002-22-22-2-222-22-2000000002-2-220000002-22-200000000-22-220000000000-22000000
χ392-22-200002-22-22-2-22-22-22000000002-2-22000000-22-22000000002-22-20000000000-22000000
χ402-22-200002-22-22-2-22-22-22000000002-2-22000000-22-2200000000-22-2200000000002-2000000
χ412-2-2200002-2-22-22-222-2-2200000000-22-220000002-2-2200002-22-20000000000002-200000000
χ422-2-2200002-2-22-22-222-2-2200000000-22-220000002-2-220000-22-22000000000000-2200000000
χ432-2-2200002-2-22-22-22-222-200000000-22-22000000-222-200002-22-2000000000000-2200000000
χ442-2-2200002-2-22-22-22-222-200000000-22-22000000-222-20000-22-220000000000002-200000000
χ4544-4-44-40044-4-444-4-400004-40000-4400000000000000000000000000000000000000000000
χ4644-4-4-440044-4-444-4-40000-4400004-400000000000000000000000000000000000000000000
χ474-44-400004-44-44-4-44000000000000-444-40000000000000000000000000000000000000000
χ484-44-400004-44-4-444-400000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ494-44-400004-44-4-444-40000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ504-4-4400004-4-444-44-40000000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ514-4-4400004-4-444-44-4000000000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ524-4-4400004-4-44-44-440000000000004-44-40000000000000000000000000000000000000000
χ5388888888-1-1-1-100002222-1-1-1-1-1-1000000222222-1-1-1-1000000000000-1-1-1-1-1-1000000000000
χ5488888888-1-1-1-10000-2-2-2-2-1-1-1-1-1-1000000-2-2-2-2-2-21111000000000000111111000000000000
χ55888888-8-8-1-1-1-100002222-1-1111100000022-2-2-2-2-1-1-1-1000000000000-1-11111000000000000
χ56888888-8-8-1-1-1-10000-2-2-2-2-1-11111000000-2-22222111100000000000011-1-1-1-1000000000000
χ578888-8-88-8-1-1-1-10000222211-1-111000000-2-222-2-2-1-1-1-100000000000011-1-111000000000000
χ588888-8-88-8-1-1-1-10000-2-2-2-211-1-11100000022-2-2221111000000000000-1-111-1-1000000000000
χ598888-8-8-88-1-1-1-1000022221111-1-1000000-2-2-2-222-1-1-1-10000000000001111-1-1000000000000
χ608888-8-8-88-1-1-1-10000-2-2-2-21111-1-10000002222-2-21111000000000000-1-1-1-111000000000000
χ6188-8-88-800-1-111000022-2-2-113i−3i3i−3i0000002-22i−2i2i−2i-1-111000000000000-11−ii−ii000000000000
χ6288-8-88-800-1-111000022-2-2-11−3i3i−3i3i0000002-2−2i2i−2i2i-1-111000000000000-11i−ii−i000000000000
χ6388-8-88-800-1-1110000-2-222-113i−3i3i−3i000000-22−2i2i−2i2i11-1-10000000000001-1i−ii−i000000000000
χ6488-8-88-800-1-1110000-2-222-11−3i3i−3i3i000000-222i−2i2i−2i11-1-10000000000001-1−ii−ii000000000000
χ6588-8-8-8800-1-111000022-2-21-13i−3i−3i3i000000-222i−2i−2i2i-1-1110000000000001-1−iii−i000000000000
χ6688-8-8-8800-1-111000022-2-21-1−3i3i3i−3i000000-22−2i2i2i−2i-1-1110000000000001-1i−i−ii000000000000
χ6788-8-8-8800-1-1110000-2-2221-13i−3i−3i3i0000002-2−2i2i2i−2i11-1-1000000000000-11i−i−ii000000000000
χ6888-8-8-8800-1-1110000-2-2221-1−3i3i3i−3i0000002-22i−2i−2i2i11-1-1000000000000-11−iii−i000000000000
χ6916-1616-160000-22-2200004-44-4000000000000000000-22-22000000000000000000000000000000
χ7016-1616-160000-22-220000-44-440000000000000000002-22-2000000000000000000000000000000
χ7116-16-16160000-222-200004-4-44000000000000000000-222-2000000000000000000000000000000
χ7216-16-16160000-222-20000-444-40000000000000000002-2-22000000000000000000000000000000

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