Finite Group Databasebeta

← Group #72220834

Character table — Group #72220834

Order 10368.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112888888889999161616161616161618183232323236363636363636367272727272727272727272727272727272727272727272728181144144144144144144144144162162162162162324324324324324324324324324324648648648648
order122336666662222336666662236662222222266666666666666666666666622666666662444444888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-11111-1-1-1-11-11-1
χ611111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-1-11111-11-11
χ711111111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1111-11111-1-1-1-1-11-11
χ811111111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1111-1-1-1-1-111111-11-1
χ911-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-11111-1-111-1-111-1-111-1-1
χ1011-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-11111-1-1-1-111-1-111-1-111
χ1111-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-11111-1-111-1-111-1-1-1-111
χ1211-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-11111-1-1-1-111-1-11111-1-1
χ1311-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111-1111-1-1-1-1111-1-11
χ1411-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111-11-1-11111-1-1-111-1
χ1511-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-111-1111-1-1-1-111-111-1
χ1611-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-111-11-1-11111-1-11-1-11
χ17222222222222222222222222222220000000022222222000000000000000022000000002-2-2-2-2-2-2000000000000
χ182222222222222-2-2222222222-222220000000022-2-222-2-20000000000000000-2-200000000-2000000i2−i2i2−i2i2−i2i2−i20000
χ192222222222222-2-2222222222-222220000000022-2-222-2-20000000000000000-2-200000000-2000000−i2i2−i2i2−i2i2−i2i20000
χ2022222222222-2-22222222222-22222200000000-2-222-2-2220000000000000000-2-200000000-2000000i2−i2i2−i2−i2i2−i2i20000
χ2122222222222-2-22222222222-22222200000000-2-222-2-2220000000000000000-2-200000000-2000000−i2i2−i2i2i2−i2i2−i20000
χ2222222222222-2-2-2-222222222-2-2222200000000-2-2-2-2-2-2-2-200000000000000002200000000222-2-2-22000000000000
χ2322-22222-2-2-2-222222222-2-2-2-2-2-222-2-2000000002222-2-2-2-200000000000000002200000000-2-2-2-2-222000000000000
χ2422-22222-2-2-2-222-2-22222-2-2-2-2-2222-2-20000000022-2-2-2-2220000000000000000-2-2000000002000000i2−i2−i2i2i2−i2−i2i20000
χ2522-22222-2-2-2-222-2-22222-2-2-2-2-2222-2-20000000022-2-2-2-2220000000000000000-2-2000000002000000−i2i2i2−i2−i2i2i2−i20000
χ2622-22222-2-2-2-2-2-2222222-2-2-2-22-222-2-200000000-2-22222-2-20000000000000000-2-2000000002000000i2−i2−i2i2−i2i2i2−i20000
χ2722-22222-2-2-2-2-2-2222222-2-2-2-22-222-2-200000000-2-22222-2-20000000000000000-2-2000000002000000−i2i2i2−i2i2−i2−i2i20000
χ2822-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000-2-2-2-2222200000000000000002200000000-222-2-22-2000000000000
χ292-2022-2-200002-22-222-2-20000002-200002-2002-22-22-20000000022-2-2000022-2-2-22002-2002-202-22-200000000000000
χ302-2022-2-200002-22-222-2-20000002-20000-2200-222-22-200000000-2-2220000-2-222-2200-2200-2202-22-200000000000000
χ312-2022-2-200002-22-222-2-20000002-2002-2002-2002-22-2000022-2-2000022-2-20000-222-2002-2000-22-2200000000000000
χ322-2022-2-200002-22-222-2-20000002-200-2200-22002-22-20000-2-2220000-2-2220000-22-2200-22000-22-2200000000000000
χ332-2022-2-20000-22-2222-2-20000002-200002-200-22-22-220000000022-2-20000-2-222-22002-200-220-222-200000000000000
χ342-2022-2-20000-22-2222-2-20000002-20000-22002-2-22-2200000000-2-222000022-2-2-2200-22002-20-222-200000000000000
χ352-2022-2-20000-22-2222-2-20000002-2002-200-2200-22-22000022-2-20000-2-2220000-222-200-220002-2-2200000000000000
χ362-2022-2-20000-22-2222-2-20000002-200-22002-200-22-220000-2-222000022-2-20000-22-22002-20002-2-2200000000000000
χ374-4044-4-400004-4-4444-4-40000004-400000000004-4-44000000000000000000004-4000000000000000000000000000
χ384-4044-4-40000-444-444-4-40000004-40000000000-444-4000000000000000000004-4000000000000000000000000000
χ398888-18-188-1-10088-1-1-1-1-1-1-1-108-1-1-1-12222222200-1-100-1-12-12-12-12-12-12-12-12-100-1-1-1-1-1-1-1-10000000000000000000
χ408888-18-188-1-10088-1-1-1-1-1-1-1-108-1-1-1-1-2-2-2-2-2-2-2-200-1-100-1-1-21-21-21-21-21-21-21-2100111111110000000000000000000
χ418888-18-188-1-100-8-8-1-1-1-1-1-1-1-10-8-1-1-1-12222-2-2-2-2001100112-12-12-12-1-21-21-21-2100-1-1-1-111110000000000000000000
χ428888-18-188-1-100-8-8-1-1-1-1-1-1-1-10-8-1-1-1-1-2-2-2-2222200110011-21-21-21-212-12-12-12-1001111-1-1-1-10000000000000000000
χ43888-18-18-1-1888800-1-1-1-1-1-1-1-180-1-1-1-122222222-1-100-1-100-12-12-12-12-12-12-12-1200-1-1-1-1-1-1-1-10000000000000000000
χ44888-18-18-1-1888800-1-1-1-1-1-1-1-180-1-1-1-1-2-2-2-2-2-2-2-2-1-100-1-1001-21-21-21-21-21-21-21-200111111110000000000000000000
χ45888-18-18-1-188-8-800-1-1-1-1-1-1-1-1-80-1-1-1-12222-2-2-2-211001100-12-12-12-121-21-21-21-200-1-1-1-111110000000000000000000
χ46888-18-18-1-188-8-800-1-1-1-1-1-1-1-1-80-1-1-1-1-2-2-2-22222110011001-21-21-21-2-12-12-12-12001111-1-1-1-10000000000000000000
χ4788-88-18-1-8-8110088-1-1-1-111110-8-1-11122-2-222-2-200-1-100112-12-1-21-212-12-1-21-2100-1-111-1-1110000000000000000000
χ4888-88-18-1-8-8110088-1-1-1-111110-8-1-111-2-222-2-22200-1-10011-21-212-12-1-21-212-12-10011-1-111-1-10000000000000000000
χ4988-88-18-1-8-81100-8-8-1-1-1-1111108-1-11122-2-2-2-222001100-1-12-12-1-21-21-21-212-12-100-1-11111-1-10000000000000000000
χ5088-88-18-1-8-81100-8-8-1-1-1-1111108-1-111-2-22222-2-2001100-1-1-21-212-12-12-12-1-21-210011-1-1-1-1110000000000000000000
χ5188-8-18-1811-8-88800-1-1-1-11111-80-1-11122-2-222-2-2-1-1001100-12-121-21-2-12-121-21-200-1-111-1-1110000000000000000000
χ5288-8-18-1811-8-88800-1-1-1-11111-80-1-111-2-222-2-222-1-10011001-21-2-12-121-21-2-12-120011-1-111-1-10000000000000000000
χ5388-8-18-1811-8-8-8-800-1-1-1-1111180-1-11122-2-2-2-2221100-1-100-12-121-21-21-21-2-12-1200-1-11111-1-10000000000000000000
χ5488-8-18-1811-8-8-8-800-1-1-1-1111180-1-111-2-22222-2-21100-1-1001-21-2-12-12-12-121-21-20011-1-1-1-1110000000000000000000
χ558-808-1-81003-3008-8-1-11133-3-300-113-32-22-22-22-200-11003-32-1-212-1-212-1-212-1-2100-11-11-11-110000000000000000000
χ568-808-1-81003-3008-8-1-11133-3-300-113-3-22-22-22-2200-11003-3-212-1-212-1-212-1-212-1001-11-11-11-10000000000000000000
χ578-808-1-81003-300-88-1-11133-3-300-113-32-22-2-22-22001-100-332-1-212-1-21-212-1-212-100-11-111-11-10000000000000000000
χ588-808-1-81003-300-88-1-11133-3-300-113-3-22-222-22-2001-100-33-212-1-212-12-1-212-1-21001-11-1-11-110000000000000000000
χ598-808-1-8100-33008-8-1-111-3-33300-11-332-2-222-2-2200-1100-332-1-21-212-12-1-21-212-100-111-1-111-10000000000000000000
χ608-808-1-8100-33008-8-1-111-3-33300-11-33-222-2-222-200-1100-33-212-12-1-21-212-12-1-21001-1-111-1-110000000000000000000
χ618-808-1-8100-3300-88-1-111-3-33300-11-332-2-22-222-2001-1003-32-1-21-212-1-212-12-1-2100-111-11-1-110000000000000000000
χ628-808-1-8100-3300-88-1-111-3-33300-11-33-222-22-2-22001-1003-3-212-12-1-212-1-21-212-1001-1-11-111-10000000000000000000
χ638-80-181-83-3008-800-1-11133-3-300-11-332-22-22-22-2-11003-300-121-2-121-2-121-2-121-200-11-11-11-110000000000000000000
χ648-80-181-83-3008-800-1-11133-3-300-11-33-22-22-22-22-11003-3001-2-121-2-121-2-121-2-12001-11-11-11-10000000000000000000
χ658-80-181-83-300-8800-1-11133-3-300-11-332-22-2-22-221-100-3300-121-2-121-21-2-121-2-1200-11-111-11-10000000000000000000
χ668-80-181-83-300-8800-1-11133-3-300-11-33-22-222-22-21-100-33001-2-121-2-12-121-2-121-2001-11-1-11-110000000000000000000
χ678-80-181-8-33008-800-1-111-3-33300-113-32-2-222-2-22-1100-3300-121-21-2-12-121-21-2-1200-111-1-111-10000000000000000000
χ688-80-181-8-33008-800-1-111-3-33300-113-3-222-2-222-2-1100-33001-2-12-121-21-2-12-121-2001-1-111-1-110000000000000000000
χ698-80-181-8-3300-8800-1-111-3-33300-113-32-2-22-222-21-1003-300-121-21-2-121-2-12-121-200-111-11-1-110000000000000000000
χ708-80-181-8-3300-8800-1-111-3-33300-113-3-222-22-2-221-1003-3001-2-12-121-2-121-21-2-12001-1-11-111-10000000000000000000
χ71161616-2-2-2-2-2-2-2-200007-27-27-27-200-2-2-2-2000044440000000000000000-2-2-2-2-2-2-2-200000011110000000000000000000
χ72161616-2-2-2-2-2-2-2-200007-27-27-27-200-2-2-2-20000-4-4-4-4000000000000000022222222000000-1-1-1-10000000000000000000
χ73161616-2-2-2-2-2-2-2-20000-27-27-27-2700-2-2-2-24444000000000000-2-2-2-2-2-2-2-20000000000111100000000000000000000000
χ74161616-2-2-2-2-2-2-2-20000-27-27-27-2700-2-2-2-2-4-4-4-4000000000000222222220000000000-1-1-1-100000000000000000000000
χ751616-16-2-2-2-2222200007-27-2-72-7200-2-222000044-4-40000000000000000-2-2-2-2222200000011-1-10000000000000000000
χ761616-16-2-2-2-2222200007-27-2-72-7200-2-2220000-4-44400000000000000002222-2-2-2-2000000-1-1110000000000000000000
χ771616-16-2-2-2-222220000-27-272-72-700-2-22244-4-4000000000000-2-2-2-22222000000000011-1-100000000000000000000000
χ781616-16-2-2-2-222220000-27-272-72-700-2-222-4-4440000000000002222-2-2-2-20000000000-1-11100000000000000000000000
χ7916-160-2-2226-66-600007-2-723-6-3600-220000004-44-40000000000000000-2-222-2-2220000001-11-10000000000000000000
χ8016-160-2-2226-66-600007-2-723-6-3600-22000000-44-44000000000000000022-2-222-2-2000000-11-110000000000000000000
χ8116-160-2-2226-66-60000-272-7-636-300-22004-44-4000000000000-2-222-2-22200000000001-11-100000000000000000000000
χ8216-160-2-2226-66-60000-272-7-636-300-2200-44-4400000000000022-2-222-2-20000000000-11-1100000000000000000000000
χ8316-160-2-222-66-6600007-2-72-363-600-220000004-4-440000000000000000-2-22222-2-20000001-1-110000000000000000000
χ8416-160-2-222-66-6600007-2-72-363-600-22000000-444-4000000000000000022-2-2-2-222000000-111-10000000000000000000
χ8516-160-2-222-66-660000-272-76-3-6300-22004-4-44000000000000-2-22222-2-200000000001-1-1100000000000000000000000
χ8616-160-2-222-66-660000-272-76-3-6300-2200-444-400000000000022-2-2-2-2220000000000-111-100000000000000000000000
χ87323232-4-4-4-4-4-4-4-40000-4-4-4-4-4-4-4-40055550000000000000000000000000000000000000000000000000000000000000
χ883232-32-4-4-4-444440000-4-4-4-444440055-5-50000000000000000000000000000000000000000000000000000000000000
χ8932-320-4-44412-12-12120000-4-4440000005-53-30000000000000000000000000000000000000000000000000000000000000
χ9032-320-4-444-121212-120000-4-4440000005-5-330000000000000000000000000000000000000000000000000000000000000

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