Finite Group Databasebeta

← Group #72220850

Character table — Group #72220850

Order 10368.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11288889999161616161616181832323232323272727272727272728181144144144144144144144144144144162162162162162288288288288324324324324324324324324324324324324324324324324324324
order122336622223366662236666622446666226666661212121224444661212444444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-1111111-1-11111111-11-1-1-1-1-111-1-111-1-111-1-11-1-1111-11-11-11111-1-1-1-11111-1-1-1-1
χ61111111-1-1-1-1111111-1-11111111-11-1-1-1-1-111-1-111-1-111-1-11-1-1111-11-11-1-1-1-1-11111-1-1-1-11111
χ71111111-1-1-1-1111111-1-1111111-11-11-1-1-1-111-1-1-1-111-1-1111-1-111-11-111-11111-1-1-1-1-1-1-1-11111
χ81111111-1-1-1-1111111-1-1111111-11-11-1-1-1-111-1-1-1-111-1-1111-1-111-11-111-1-1-1-1-111111111-1-1-1-1
χ911-11111111111-1-111-1-11-1-11-1-111-1-1111111-1-11111-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011-11111111111-1-111-1-11-1-11-1-111-1-1111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111-11111111111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-11111-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ1211-11111111111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-11111-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ1311-11111-1-1-1-111-1-111111-1-11-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1111-1-11-1111-1-1-1-11111-1-1-1-111
χ1411-11111-1-1-1-111-1-111111-1-11-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1111-1-11-11-1-11111-1-1-1-11111-1-1
χ1511-11111-1-1-1-111-1-111111-1-11-1-1-111-1-1-1-1-11111-1-11111-1-1-1-1-111-111-1-1111-1-1-1-111-1-11111-1-1
χ1611-11111-1-1-1-111-1-111111-1-11-1-1-111-1-1-1-1-11111-1-11111-1-1-1-1-111-111-1-11-1-11111-1-111-1-1-1-111
χ172222222222222222222222222000022222222000000002-2-2-2-20000-2-20000000000000000
χ18222222222-2-22222222-2222222000022-2-2-2-22-200000000-2000000000000000000i2−i2i2−i2i2−i2i2−i2
χ19222222222-2-22222222-2222222000022-2-2-2-22-200000000-2000000000000000000−i2i2−i2i2−i2i2−i2i2
χ202222222-2-222222222-222222220000-2-222-2-2-2200000000-2000000000000000000i2−i2i2−i2−i2i2−i2i2
χ212222222-2-222222222-222222220000-2-222-2-2-2200000000-2000000000000000000−i2i2−i2i2i2−i2i2−i2
χ222222222-2-2-2-2222222-2-22222220000-2-2-2-222-2-200000000222-2-20000-220000000000000000
χ2322-22222222222-2-222-2-22-2-22-2-20000222222-2-200000000-2-2-2-2-20000220000000000000000
χ2422-2222222-2-222-2-222-222-2-22-2-2000022-2-2-2-2-22000000002000000000000000000i2−i2−i2i2i2−i2−i2i2
χ2522-2222222-2-222-2-222-222-2-22-2-2000022-2-2-2-2-22000000002000000000000000000−i2i2i2−i2−i2i2i2−i2
χ2622-22222-2-22222-2-2222-22-2-22-2-20000-2-222-2-22-2000000002000000000000000000i2−i2−i2i2−i2i2i2−i2
χ2722-22222-2-22222-2-2222-22-2-22-2-20000-2-222-2-22-2000000002000000000000000000−i2i2i2−i2i2−i2−i2i2
χ2822-22222-2-2-2-222-2-222222-2-22-2-20000-2-2-2-2222200000000-222-2-200002-20000000000000000
χ292-2022-2-22-22-22200-2-200200-20000002-22-2-22000000000002-22-2000000002-2002-200000000
χ302-2022-2-22-22-22200-2-200200-20000002-22-2-22000000000002-22-200000000-2200-2200000000
χ312-2022-2-22-22-22200-2-200200-20000002-22-2-2200000000000-22-220000002-2002-20000000000
χ322-2022-2-22-22-22200-2-200200-20000002-22-2-2200000000000-22-22000000-2200-220000000000
χ332-2022-2-2-22-222200-2-200200-2000000-22-22-22000000000002-2-220000002-200-220000000000
χ342-2022-2-2-22-222200-2-200200-2000000-22-22-22000000000002-2-22000000-22002-20000000000
χ352-2022-2-2-22-222200-2-200200-2000000-22-22-2200000000000-222-2000000002-200-2200000000
χ362-2022-2-2-22-222200-2-200200-2000000-22-22-2200000000000-222-200000000-22002-200000000
χ374-4044-4-44-4-444400-4-400400-40000004-4-444-40000000000000000000000000000000000000
χ384-4044-4-4-444-44400-4-400400-4000000-444-44-40000000000000000000000000000000000000
χ398888-18-10088-1-18-1-1-108-1-1-1-1-1-1222200-1-1000-12-12-12-12-100000-1-1-1-1000000000000000000
χ408888-18-10088-1-18-1-1-108-1-1-1-1-1-1-2-2-2-200-1-1000-1-21-21-21-21000001111000000000000000000
χ418888-18-100-8-8-1-18-1-1-10-8-1-1-1-1-1-12-22-2001100012-1-212-1-2100000-11-11000000000000000000
χ428888-18-100-8-8-1-18-1-1-10-8-1-1-1-1-1-1-22-2200110001-212-1-212-1000001-11-1000000000000000000
χ43888-18-188800-1-1-18-1-180-1-1-1-1-1-12222-1-10000-10-12-12-12-1200000-1-1-1-1000000000000000000
χ44888-18-188800-1-1-18-1-180-1-1-1-1-1-1-2-2-2-2-1-10000-101-21-21-21-2000001111000000000000000000
χ45888-18-18-8-800-1-1-18-1-1-80-1-1-1-1-1-12-22-211000010-121-2-121-200000-11-11000000000000000000
χ46888-18-18-8-800-1-1-18-1-1-80-1-1-1-1-1-1-22-22110000101-2-121-2-12000001-11-1000000000000000000
χ4788-88-18-10088-1-1-81-1-10-8-111-11122-2-200-1-100012-12-1-21-2100000-1-111000000000000000000
χ4888-88-18-10088-1-1-81-1-10-8-111-111-2-22200-1-10001-21-212-12-10000011-1-1000000000000000000
χ4988-88-18-100-8-8-1-1-81-1-108-111-1112-2-220011000-12-1-21-212-100000-111-1000000000000000000
χ5088-88-18-100-8-8-1-1-81-1-108-111-111-222-20011000-1-212-12-1-21000001-1-11000000000000000000
χ5188-8-18-188800-1-11-8-1-1-80-111-11122-2-2-1-1000010-12-121-21-200000-1-111000000000000000000
χ5288-8-18-188800-1-11-8-1-1-80-111-111-2-222-1-10000101-21-2-12-120000011-1-1000000000000000000
χ5388-8-18-18-8-800-1-11-8-1-180-111-1112-2-22110000-10-121-21-2-1200000-111-1000000000000000000
χ5488-8-18-18-8-800-1-11-8-1-180-111-111-222-2110000-101-2-12-121-2000001-1-11000000000000000000
χ55161616-2-2-2-200007-2-2-27-200-27-2-2-2-204040000000000-2-200-2-2000000101000000000000000000
χ56161616-2-2-2-200007-2-2-27-200-27-2-2-2-20-40-40000000000220022000000-10-1000000000000000000
χ57161616-2-2-2-20000-27-2-2-2700-2-27-2-2-2404000000000-2-200-2-200000001010000000000000000000
χ58161616-2-2-2-20000-27-2-2-2700-2-27-2-2-2-40-40000000002200220000000-10-10000000000000000000
χ591616-16-2-2-2-200007-2227-200-2-72-222040-40000000000-2-2002200000010-1000000000000000000
χ601616-16-2-2-2-200007-2227-200-2-72-2220-40400000000002200-2-2000000-101000000000000000000
χ611616-16-2-2-2-20000-2722-2700-22-7-22240-4000000000-2-20022000000010-10000000000000000000
χ621616-16-2-2-2-20000-2722-2700-22-7-222-4040000000002200-2-20000000-1010000000000000000000
χ6316-16016-2-1620016-16-2-2002200-200200000000-22000000000000000000000000000000000000000
χ6416-16016-2-16200-1616-2-2002200-2002000000002-2000000000000000000000000000000000000000
χ6516-160-2162-1616-1600-2-2002200-2002000000-2200000000000000000000000000000000000000000
χ6616-160-2162-16-161600-2-2002200-20020000002-200000000000000000000000000000000000000000
χ67323232-4-4-4-40000-4-4-4-4-4-4005-4-455500000000000000000000000000000000000000000000000
χ683232-32-4-4-4-40000-4-444-4-4005445-5-500000000000000000000000000000000000000000000000
χ6932-320-4-444000014-400-14400-40040000000000000000000000000000000000000000000000000
χ7032-320-4-4440000-414004-1400-40040000000000000000000000000000000000000000000000000
χ7132-320-4-4440000-4-4004400500-59-900000000000000000000000000000000000000000000000
χ7232-320-4-4440000-4-4004400500-5-9900000000000000000000000000000000000000000000000

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