Finite Group Databasebeta

← Group #72222921

Character table — Group #72222921

Order 10368.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11288889999161616161616181832323232323272727272727272728181144144144144144144144144144144162162162162162162162162162162162162162162162162162162162162162162162162162288288288288648648648648
order122336622223366662236666622446666226666661212121224444444488888888888888886612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-1111111-1-11111111-11-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ61111111-1-1-1-1111111-1-11111111-11-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ71111111-1-1-1-1111111-1-1111111-11-11-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ81111111-1-1-1-1111111-1-1111111-11-11-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111111111-11-111-11-1
χ911-11111111111-1-111-1-11-1-11-1-111-1-1111111-1-11111-1-1-1-1-11-1-111-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011-11111111111-1-111-1-11-1-11-1-111-1-1111111-1-11111-1-1-1-1-11-1-111-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1111-11111111111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-11111-11-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211-11111111111-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-11111-11-1-111-1-11-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1311-11111-1-1-1-111-1-111111-1-11-1-11-1-11-1-1-1-1111111-1-1-1-111-11-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ1411-11111-1-1-1-111-1-111111-1-11-1-11-1-11-1-1-1-1111111-1-1-1-111-11-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ1511-11111-1-1-1-111-1-111111-1-11-1-1-111-1-1-1-1-11111-1-11111-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ1611-11111-1-1-1-111-1-111111-1-11-1-1-111-1-1-1-1-11111-1-11111-1-1-11-1-1-1-1111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ172222222222222222222222222000022222222000000002-2-2-2-2-2-2-2-2000000000000000000000000
χ18222222222-2-22222222-2222222000022-2-2-2-22-200000000-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000
χ19222222222-2-22222222-2222222000022-2-2-2-22-200000000-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000
χ202222222-2-222222222-222222220000-2-222-2-2-2200000000-200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ212222222-2-222222222-222222220000-2-222-2-2-2200000000-200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ222222222-2-2-2-2222222-2-22222220000-2-2-2-222-2-2000000002-2-2-22222-2000000000000000000000000
χ2322-22222222222-2-222-2-22-2-22-2-20000222222-2-200000000-2-222-2-222-2000000000000000000000000
χ2422-2222222-2-222-2-222-222-2-22-2-2000022-2-2-2-2-2200000000200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ2522-2222222-2-222-2-222-222-2-22-2-2000022-2-2-2-2-2200000000200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ2622-22222-2-22222-2-2222-22-2-22-2-20000-2-222-2-22-200000000200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ2722-22222-2-22222-2-2222-22-2-22-2-20000-2-222-2-22-200000000200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ2822-22222-2-2-2-222-2-222222-2-22-2-20000-2-2-2-2222200000000-2-22222-2-2-2000000000000000000000000
χ292-2022-2-22-22-22200-2-200200-20000002-22-22-20000000000002i−2i002i−2i02−22−2i2−i2i2−i22−22−2i2−i2i2−i200000000
χ302-2022-2-22-22-22200-2-200200-20000002-22-22-20000000000002i−2i002i−2i0−22−22−i2i2−i2i2−22−22−i2i2−i2i200000000
χ312-2022-2-22-22-22200-2-200200-20000002-22-22-2000000000000−2i2i00−2i2i02−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000
χ322-2022-2-22-22-22200-2-200200-20000002-22-22-2000000000000−2i2i00−2i2i0−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000
χ332-2022-2-22-2-222200-2-200200-20000002-2-22-22000000000002002-200-22i−2i−2i2i00002i−2i−2i2i000000000000
χ342-2022-2-22-2-222200-2-200200-20000002-2-22-22000000000002002-200-2−2i2i2i−2i0000−2i2i2i−2i000000000000
χ352-2022-2-22-2-222200-2-200200-20000002-2-22-2200000000000-200-2200200002-2-2200002-2-2200000000
χ362-2022-2-22-2-222200-2-200200-20000002-2-22-2200000000000-200-220020000-222-20000-222-200000000
χ372-2022-2-2-222-22200-2-200200-2000000-222-2-2200000000000200-2200-22i−2i−2i2i0000−2i2i2i−2i000000000000
χ382-2022-2-2-222-22200-2-200200-2000000-222-2-2200000000000200-2200-2−2i2i2i−2i00002i−2i−2i2i000000000000
χ392-2022-2-2-222-22200-2-200200-2000000-222-2-2200000000000-2002-200200002-2-220000-222-200000000
χ402-2022-2-2-222-22200-2-200200-2000000-222-2-2200000000000-2002-20020000-222-200002-2-2200000000
χ412-2022-2-2-22-222200-2-200200-2000000-22-222-20000000000002i−2i00−2i2i02−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000
χ422-2022-2-2-22-222200-2-200200-2000000-22-222-20000000000002i−2i00−2i2i0−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000
χ432-2022-2-2-22-222200-2-200200-2000000-22-222-2000000000000−2i2i002i−2i02−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000
χ442-2022-2-2-22-222200-2-200200-2000000-22-222-2000000000000−2i2i002i−2i0−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000
χ458888-18-10088-1-18-1-1-108-1-1-1-1-1-1222200-1-1000-12-12-12-12-10000000000000000000000000-1-1-1-10000
χ468888-18-10088-1-18-1-1-108-1-1-1-1-1-1-2-2-2-200-1-1000-1-21-21-21-21000000000000000000000000011110000
χ478888-18-100-8-8-1-18-1-1-10-8-1-1-1-1-1-12-22-2001100012-1-212-1-210000000000000000000000000-11-110000
χ488888-18-100-8-8-1-18-1-1-10-8-1-1-1-1-1-1-22-2200110001-212-1-212-100000000000000000000000001-11-10000
χ49888-18-188800-1-1-18-1-180-1-1-1-1-1-12222-1-10000-10-12-12-12-120000000000000000000000000-1-1-1-10000
χ50888-18-188800-1-1-18-1-180-1-1-1-1-1-1-2-2-2-2-1-10000-101-21-21-21-2000000000000000000000000011110000
χ51888-18-18-8-800-1-1-18-1-1-80-1-1-1-1-1-12-22-211000010-121-2-121-20000000000000000000000000-11-110000
χ52888-18-18-8-800-1-1-18-1-1-80-1-1-1-1-1-1-22-22110000101-2-121-2-1200000000000000000000000001-11-10000
χ5388-88-18-10088-1-1-81-1-10-8-111-11122-2-200-1-100012-12-1-21-210000000000000000000000000-1-1110000
χ5488-88-18-10088-1-1-81-1-10-8-111-111-2-22200-1-10001-21-212-12-1000000000000000000000000011-1-10000
χ5588-88-18-100-8-8-1-1-81-1-108-111-1112-2-220011000-12-1-21-212-10000000000000000000000000-111-10000
χ5688-88-18-100-8-8-1-1-81-1-108-111-111-222-20011000-1-212-12-1-2100000000000000000000000001-1-110000
χ5788-8-18-188800-1-11-8-1-1-80-111-11122-2-2-1-1000010-12-121-21-20000000000000000000000000-1-1110000
χ5888-8-18-188800-1-11-8-1-1-80-111-111-2-222-1-10000101-21-2-12-12000000000000000000000000011-1-10000
χ5988-8-18-18-8-800-1-11-8-1-180-111-1112-2-22110000-10-121-21-2-120000000000000000000000000-111-10000
χ6088-8-18-18-8-800-1-11-8-1-180-111-111-222-2110000-101-2-12-121-200000000000000000000000001-1-110000
χ61161616-2-2-2-200007-2-2-27-200-27-2-2-2-204040000000000-2-200-2-2000000000000000000000000001010000
χ62161616-2-2-2-200007-2-2-27-200-27-2-2-2-20-40-4000000000022002200000000000000000000000000-10-10000
χ63161616-2-2-2-20000-27-2-2-2700-2-27-2-2-2404000000000-2-200-2-200000000000000000000000000010100000
χ64161616-2-2-2-20000-27-2-2-2700-2-27-2-2-2-40-4000000000220022000000000000000000000000000-10-100000
χ651616-16-2-2-2-200007-2227-200-2-72-222040-40000000000-2-200220000000000000000000000000010-10000
χ661616-16-2-2-2-200007-2227-200-2-72-2220-40400000000002200-2-200000000000000000000000000-1010000
χ671616-16-2-2-2-20000-2722-2700-22-7-22240-4000000000-2-2002200000000000000000000000000010-100000
χ681616-16-2-2-2-20000-2722-2700-22-7-222-4040000000002200-2-2000000000000000000000000000-10100000
χ6916-16016-2-1620016-16-2-2002200-200200000000-22000000000000000000000000000000000000000000000
χ7016-16016-2-16200-1616-2-2002200-2002000000002-2000000000000000000000000000000000000000000000
χ7116-160-2162-1616-1600-2-2002200-2002000000-2200000000000000000000000000000000000000000000000
χ7216-160-2162-16-161600-2-2002200-20020000002-200000000000000000000000000000000000000000000000
χ73323232-4-4-4-40000-4-4-4-4-4-4005-4-455500000000000000000000000000000000000000000000000000000
χ743232-32-4-4-4-40000-4-444-4-4005445-5-500000000000000000000000000000000000000000000000000000
χ7532-320-4-444000014-400-14400-40040000000000000000000000000000000000000000000000000000000
χ7632-320-4-4440000-414004-1400-40040000000000000000000000000000000000000000000000000000000
χ7732-320-4-4440000-4-4004400500-59-900000000000000000000000000000000000000000000000000000
χ7832-320-4-4440000-4-4004400500-5-9900000000000000000000000000000000000000000000000000000

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