Finite Group Databasebeta

← Group #72244581

Character table — Group #72244581

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size12669991218181812669991218181861236365454547210810810861236365454547210810810861236365454547210810810881648487272729614414414481648487272729614414414412247272108108108144216216216
order1333222366626662226666412121244412121212824242488824242424824242488824242424333366636666666666666626662226666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-1
χ31111-11-11-11-11111-11-11-11-11111-11-11-11-11111-11-11-11-11111-11-11-11-11111-11-11-11-11111-11-11-11-11111-11-11-11-1
χ41111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-111111-1-111-1-11
χ5222-1002-100-1222-1002-100-1222-1002-100-1222-1002-100-1222-1002-100-1222-1002-100-1222-1002-100-1222-1002-100-1
χ6222-100-2-1001222-100-2-1001222-100-2-1001222-100-2-1001222-100-2-1001222-100-2-1001222-100-2-1001222-100-2-1001
χ722-12020-10-1022-12020-10-1022-12020-10-1022-12020-10-1022-12020-10-1022-12020-10-1022-12020-10-1022-12020-10-10
χ822-120-20-101022-120-20-101022-120-20-101022-120-20-101022-120-20-101022-120-20-101022-120-20-101022-120-20-1010
χ944-2-2000100044-2-2000100044-2-2000100044-2-2000100044-2-2000100044-2-2000100044-2-2000100044-2-20001000
χ106-3002000-1006-3002000-1006-3002000-1006-3002000-1006-3002000-1006-3002000-1006-3002000-1006-3002000-100
χ116-300-20001006-300-20001006-300-20001006-300-20001006-300-20001006-300-20001006-300-20001006-300-2000100
χ12111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1311111-1-111-1-111111-1-111-1-111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-111-1-11111111-1-111-1-111111-1-111-1-1-1-1-1-1-111-1-111
χ141111-11-11-11-11111-11-11-11-11111-11-11-11-1-1-1-1-11-11-11-11-1-1-1-11-11-11-111111-11-11-11-11111-11-11-11-1-1-1-1-11-11-11-11
χ151111-1-111-1-111111-1-111-1-111111-1-111-1-11-1-1-1-111-1-111-1-1-1-1-111-1-111-11111-1-111-1-111111-1-111-1-11-1-1-1-111-1-111-1
χ16222-1002-100-1222-1002-100-1222-1002-100-1-2-2-2100-21001-2-2-2100-21001222-1002-100-1222-1002-100-1-2-2-2100-21001
χ17222-100-2-1001222-100-2-1001222-100-2-1001-2-2-21002100-1-2-2-21002100-1222-100-2-1001222-100-2-1001-2-2-21002100-1
χ1822-12020-10-1022-12020-10-1022-12020-10-10-2-21-20-201010-2-21-20-20101022-12020-10-1022-12020-10-10-2-21-20-201010
χ1922-120-20-101022-120-20-101022-120-20-1010-2-21-202010-10-2-21-202010-1022-120-20-101022-120-20-1010-2-21-202010-10
χ2044-2-2000100044-2-2000100044-2-20001000-4-422000-1000-4-422000-100044-2-2000100044-2-20001000-4-422000-1000
χ216-3002000-1006-3002000-1006-3002000-100-6300-2000100-6300-20001006-3002000-1006-3002000-100-6300-2000100
χ226-300-20001006-300-20001006-300-2000100-63002000-100-63002000-1006-300-20001006-300-2000100-63002000-100
χ232222222222222222222222222222222220000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ2422222-2-222-2-222222-2-222-2-222222-2-222-2-20000000000000000000000-1-1-1-1-111-1-111-1-1-1-1-111-1-11100000000000
χ252222-22-22-22-22222-22-22-22-22222-22-22-22-20000000000000000000000-1-1-1-11-11-11-11-1-1-1-11-11-11-1100000000000
χ262222-2-222-2-222222-2-222-2-222222-2-222-2-220000000000000000000000-1-1-1-111-1-111-1-1-1-1-111-1-111-100000000000
χ27444-2004-200-2444-2004-200-2444-2004-200-20000000000000000000000-2-2-2100-21001-2-2-2100-2100100000000000
χ28444-200-4-2002444-200-4-2002444-200-4-20020000000000000000000000-2-2-21002100-1-2-2-21002100-100000000000
χ2944-24040-20-2044-24040-20-2044-24040-20-200000000000000000000000-2-21-20-201010-2-21-20-20101000000000000
χ3044-240-40-202044-240-40-202044-240-40-20200000000000000000000000-2-21-202010-10-2-21-202010-1000000000000
χ3188-4-4000200088-4-4000200088-4-400020000000000000000000000000-4-422000-1000-4-422000-100000000000000
χ3212-6004000-20012-6004000-20012-6004000-2000000000000000000000000-6300-2000100-6300-200010000000000000
χ3312-600-400020012-600-400020012-600-40002000000000000000000000000-63002000-100-63002000-10000000000000
χ3422222222222-2-2-2-2-2-2-2-2-2-2-200000000000i2i2i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2-1-1-1-1-1-1-1-1-1-1-11111111111100000000000
χ3522222-2-222-2-2-2-2-2-2-222-2-22200000000000i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2-1-1-1-1-111-1-11111111-1-111-1-100000000000
χ362222-22-22-22-2-2-2-2-22-22-22-2200000000000i2i2i2i2−i2i2−i2i2−i2i2−i2−i2−i2−i2−i2i2−i2i2−i2i2−i2i2-1-1-1-11-11-11-111111-11-11-11-100000000000
χ372222-2-222-2-22-2-2-2-222-2-222-200000000000i2i2i2i2−i2−i2i2i2−i2−i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2-1-1-1-111-1-111-11111-1-111-1-1100000000000
χ38444-2004-200-2-4-4-4200-42002000000000002i22i22i2−i2002i2−i200−i2−2i2−2i2−2i2i200−2i2i200i2-2-2-2100-21001222-1002-100-100000000000
χ39444-200-4-2002-4-4-42004200-2000000000002i22i22i2−i200−2i2−i200i2−2i2−2i2−2i2i2002i2i200−i2-2-2-21002100-1222-100-2-100100000000000
χ4044-24040-20-20-4-42-40-402020000000000002i22i2−i22i202i20−i20−i20−2i2−2i2i2−2i20−2i20i20i20-2-21-20-20101022-12020-10-1000000000000
χ4144-240-40-2020-4-42-404020-20000000000002i22i2−i22i20−2i20−i20i20−2i2−2i2i2−2i202i20i20−i20-2-21-202010-1022-120-20-101000000000000
χ4288-4-40002000-8-844000-2000000000000004i24i2−2i2−2i2000i2000−4i2−4i22i22i2000−i2000-4-422000-100044-2-2000100000000000000
χ4312-6004000-200-12600-4000200000000000006i2−3i2002i2000−i200−6i23i200−2i2000i200-6300-20001006-3002000-10000000000000
χ4412-600-4000200-126004000-200000000000006i2−3i200−2i2000i200−6i23i2002i2000−i200-63002000-1006-300-200010000000000000
χ4522222222222-2-2-2-2-2-2-2-2-2-2-200000000000−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2i2i2-1-1-1-1-1-1-1-1-1-1-11111111111100000000000
χ4622222-2-222-2-2-2-2-2-2-222-2-22200000000000−i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2-1-1-1-1-111-1-11111111-1-111-1-100000000000
χ472222-22-22-22-2-2-2-2-22-22-22-2200000000000−i2−i2−i2−i2i2−i2i2−i2i2−i2i2i2i2i2i2−i2i2−i2i2−i2i2−i2-1-1-1-11-11-11-111111-11-11-11-100000000000
χ482222-2-222-2-22-2-2-2-222-2-222-200000000000−i2−i2−i2−i2i2i2−i2−i2i2i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2-1-1-1-111-1-111-11111-1-111-1-1100000000000
χ49444-2004-200-2-4-4-4200-4200200000000000−2i2−2i2−2i2i200−2i2i200i22i22i22i2−i2002i2−i200−i2-2-2-2100-21001222-1002-100-100000000000
χ50444-200-4-2002-4-4-42004200-200000000000−2i2−2i2−2i2i2002i2i200−i22i22i22i2−i200−2i2−i200i2-2-2-21002100-1222-100-2-100100000000000
χ5144-24040-20-20-4-42-40-40202000000000000−2i2−2i2i2−2i20−2i20i20i202i22i2−i22i202i20−i20−i20-2-21-20-20101022-12020-10-1000000000000
χ5244-240-40-2020-4-42-404020-2000000000000−2i2−2i2i2−2i202i20i20−i202i22i2−i22i20−2i20−i20i20-2-21-202010-1022-120-20-101000000000000
χ5388-4-40002000-8-844000-200000000000000−4i2−4i22i22i2000−i20004i24i2−2i2−2i2000i2000-4-422000-100044-2-2000100000000000000
χ5412-6004000-200-12600-400020000000000000−6i23i200−2i2000i2006i2−3i2002i2000−i200-6300-20001006-3002000-10000000000000
χ5512-600-4000200-126004000-20000000000000−6i23i2002i2000−i2006i2−3i200−2i2000i200-63002000-1006-300-200010000000000000
χ563333333333333333333333-1-1-1-1-1-1-1-1-1-1-111111111111111111111110000000000000000000000-1-1-1-1-1-1-1-1-1-1-1
χ5733333-3-333-3-333333-3-333-3-3-1-1-1-1-111-1-11111111-1-111-1-111111-1-111-1-10000000000000000000000-1-1-1-1-111-1-111
χ583333-33-33-33-33333-33-33-33-3-1-1-1-11-11-11-111111-11-11-11-11111-11-11-11-10000000000000000000000-1-1-1-11-11-11-11
χ593333-3-333-3-333333-3-333-3-33-1-1-1-111-1-111-11111-1-111-1-111111-1-111-1-110000000000000000000000-1-1-1-111-1-111-1
χ60666-3006-300-3666-3006-300-3-2-2-2100-21001222-1002-100-1222-1002-100-10000000000000000000000-2-2-2100-21001
χ61666-300-6-3003666-300-6-3003-2-2-21002100-1222-100-2-1001222-100-2-10010000000000000000000000-2-2-21002100-1
χ6266-36060-30-3066-36060-30-30-2-21-20-20101022-12020-10-1022-12020-10-100000000000000000000000-2-21-20-201010
χ6366-360-60-303066-360-60-3030-2-21-202010-1022-120-20-101022-120-20-10100000000000000000000000-2-21-202010-10
χ641212-6-600030001212-6-60003000-4-422000-100044-2-2000100044-2-200010000000000000000000000000-4-422000-1000
χ6518-9006000-30018-9006000-300-6300-20001006-3002000-1006-3002000-1000000000000000000000000-6300-2000100
χ6618-900-600030018-900-6000300-63002000-1006-300-20001006-300-20001000000000000000000000000-63002000-100
χ673333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000011111111111
χ6833333-3-333-3-333333-3-333-3-3-1-1-1-1-111-1-111-1-1-1-1-111-1-111-1-1-1-1-111-1-111000000000000000000000011111-1-111-1-1
χ693333-33-33-33-33333-33-33-33-3-1-1-1-11-11-11-11-1-1-1-11-11-11-11-1-1-1-11-11-11-1100000000000000000000001111-11-11-11-1
χ703333-3-333-3-333333-3-333-3-33-1-1-1-111-1-111-1-1-1-1-111-1-111-1-1-1-1-111-1-111-100000000000000000000001111-1-111-1-11
χ71666-3006-300-3666-3006-300-3-2-2-2100-21001-2-2-2100-21001-2-2-2100-210010000000000000000000000222-1002-100-1
χ72666-300-6-3003666-300-6-3003-2-2-21002100-1-2-2-21002100-1-2-2-21002100-10000000000000000000000222-100-2-1001
χ7366-36060-30-3066-36060-30-30-2-21-20-201010-2-21-20-201010-2-21-20-201010000000000000000000000022-12020-10-10
χ7466-360-60-303066-360-60-3030-2-21-202010-10-2-21-202010-10-2-21-202010-10000000000000000000000022-120-20-1010
χ751212-6-600030001212-6-60003000-4-422000-1000-4-422000-1000-4-422000-1000000000000000000000000044-2-20001000
χ7618-9006000-30018-9006000-300-6300-2000100-6300-2000100-6300-200010000000000000000000000006-3002000-100
χ7718-900-600030018-900-6000300-63002000-100-63002000-100-63002000-10000000000000000000000006-300-2000100
χ7844444444444-4-4-4-4-4-4-4-4-4-4-400000000000000000000000000000000011111111111-1-1-1-1-1-1-1-1-1-1-100000000000
χ7944444-4-444-4-4-4-4-4-4-444-4-44400000000000000000000000000000000011111-1-111-1-1-1-1-1-1-111-1-11100000000000
χ804444-44-44-44-4-4-4-4-44-44-44-440000000000000000000000000000000001111-11-11-11-1-1-1-1-11-11-11-1100000000000
χ814444-4-444-4-44-4-4-4-444-4-444-40000000000000000000000000000000001111-1-111-1-11-1-1-1-111-1-111-100000000000
χ82888-4008-400-4-8-8-8400-84004000000000000000000000000000000000222-1002-100-1-2-2-2100-2100100000000000
χ83888-400-8-4004-8-8-84008400-4000000000000000000000000000000000222-100-2-1001-2-2-21002100-100000000000
χ8488-48080-40-40-8-84-80-80404000000000000000000000000000000000022-12020-10-10-2-21-20-20101000000000000
χ8588-480-80-4040-8-84-808040-4000000000000000000000000000000000022-120-20-1010-2-21-202010-1000000000000
χ861616-8-80004000-16-1688000-400000000000000000000000000000000000044-2-20001000-4-422000-100000000000000
χ8724-12008000-400-241200-80004000000000000000000000000000000000006-3002000-100-6300-200010000000000000
χ8824-1200-8000400-2412008000-4000000000000000000000000000000000006-300-2000100-63002000-10000000000000

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