Finite Group Databasebeta

← Group #72220567

Character table — Group #72220567

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11244444444888888888888999916161616161616161616161618183636363636363636363636363636363672727272727272727272727272727272727272728181144144144144144144144144162162162162162162162162162
order122333366663333666666662222336666666666222222444466666666666666666666121212121212121222666612121212244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111
χ511111111111111111111111-1-1-1-1111111111111-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1111-11-11-11-111111-1-1-1-1
χ611111111111111111111111-1-1-1-1111111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-11111
χ711111111111111111111111-1-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-11-1-1-1-11111
χ811111111111111111111111-1-1-1-1111111111111-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-11-11-11-1111111-1-1-1-1
χ911-1111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-1
χ1011-1111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-111-1-111
χ1111-1111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-111-1-111
χ1211-1111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-111-1-111-1-1
χ1311-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111-11-1-11-11-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111111-11-1-11-11-111-1-1-1-111
χ1411-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1111-1-11-111-1-1-1-11111-1-1
χ1511-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-111-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-111-11-1-11-1-1-11111-1-1
χ1611-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-11-111-11-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-11-111-11-1-111-1-1-1-111
χ172222222222222222222222222-2-22222222222222-2000000002222-2-2-2-222-2-20000000000000000-2-200000000-200000000
χ1822222222222222222222222-2-222222222222222-2200000000-2-2-2-22222-2-2220000000000000000-2-200000000-200000000
χ1922-2222222222222-2-2-2-2222222-2-222-2-2-2-222-2-2-2-2-22000000002222-2-2-2-2-2-2220000000000000000-2-200000000200000000
χ2022-2222222222222-2-2-2-22222-2-22222-2-2-2-222-2-2-2-22-200000000-2-2-2-2222222-2-20000000000000000-2-200000000200000000
χ212-202222-2-2-2-222220000-2-2-2-22-22-2220000-2-20000000000000022-2-222-2-2000000000000000000002-2000000000002i−2i002i−2i
χ222-202222-2-2-2-222220000-2-2-2-22-22-2220000-2-20000000000000022-2-222-2-2000000000000000000002-200000000000−2i2i00−2i2i
χ232-202222-2-2-2-222220000-2-2-2-22-2-22220000-2-20000000000000022-2-2-2-22200000000000000000000-220000000002-2002-200
χ242-202222-2-2-2-222220000-2-2-2-22-2-22220000-2-20000000000000022-2-2-2-22200000000000000000000-22000000000-2200-2200
χ252-202222-2-2-2-222220000-2-2-2-2-222-2220000-2-200000000000000-2-22222-2-200000000000000000000-220000000002-200-2200
χ262-202222-2-2-2-222220000-2-2-2-2-222-2220000-2-200000000000000-2-22222-2-200000000000000000000-22000000000-22002-200
χ272-202222-2-2-2-222220000-2-2-2-2-22-22220000-2-200000000000000-2-222-2-222000000000000000000002-2000000000002i−2i00−2i2i
χ282-202222-2-2-2-222220000-2-2-2-2-22-22220000-2-200000000000000-2-222-2-222000000000000000000002-200000000000−2i2i002i−2i
χ29444144-2144-211-2-2144-211-2-200441-211-2-21-211-2-2040022002200001-21-2001-200002-12-100002-12-10000-1-100-1-1000000000
χ30444144-2144-211-2-2144-211-2-200441-211-2-21-211-2-20400-2-200-2-200001-21-2001-20000-21-210000-21-210000110011000000000
χ31444144-2144-211-2-2144-211-2-200-4-41-211-2-21-211-2-20-4002-2002-20000-12-1200-1200002-1-2100002-1-210000-1100-11000000000
χ32444144-2144-211-2-2144-211-2-200-4-41-211-2-21-211-2-20-400-2200-220000-12-1200-120000-212-10000-212-100001-1001-1000000000
χ3344441-2441-2411-2-241-2411-2-24400-2111-2-2-21-2-21140002200221-21-200001-2000000-12-120000-12-120000-1-100-1-1000000000
χ3444441-2441-2411-2-241-2411-2-24400-2111-2-2-21-2-2114000-2-200-2-21-21-200001-20000001-21-200001-21-20000110011000000000
χ3544441-2441-2411-2-241-2411-2-2-4-400-2111-2-2-21-2-211-40002-2002-2-12-120000-12000000-121-20000-121-20000-1100-11000000000
χ3644441-2441-2411-2-241-2411-2-2-4-400-2111-2-2-21-2-211-4000-2200-22-12-120000-120000001-2-1200001-2-1200001-1001-1000000000
χ374444-2144-214-2-2114-214-2-21144001-2-2-2111-211-2-24022002200-21-210000-2100-12-120000-12-12000000-1-100-1-100000000000
χ384444-2144-214-2-2114-214-2-21144001-2-2-2111-211-2-240-2-200-2-200-21-210000-21001-21-200001-21-200000011001100000000000
χ394444-2144-214-2-2114-214-2-211-4-4001-2-2-2111-211-2-2-402-2002-2002-12-100002-100-121-20000-121-2000000-1100-1100000000000
χ404444-2144-214-2-2114-214-2-211-4-4001-2-2-2111-211-2-2-40-2200-22002-12-100002-1001-2-1200001-2-120000001-1001-100000000000
χ41444-2441-2441-2-211-2441-2-2110044-21-2-211-21-2-21104220022000000-21-2100-212-12-100002-12-1000000-1-100-1-100000000000
χ42444-2441-2441-2-211-2441-2-2110044-21-2-211-21-2-21104-2-200-2-2000000-21-2100-21-21-210000-21-2100000011001100000000000
χ43444-2441-2441-2-211-2441-2-21100-4-4-21-2-211-21-2-2110-42-2002-20000002-12-1002-12-1-2100002-1-21000000-1100-1100000000000
χ44444-2441-2441-2-211-2441-2-21100-4-4-21-2-211-21-2-2110-4-2200-220000002-12-1002-1-212-10000-212-10000001-1001-100000000000
χ4544-4144-2144-211-2-2-1-4-4211-2-200441-2-1-1221-2-1-1220-4002200-2-200001-21-200-1200002-12-10000-21-210000-1-10011000000000
χ4644-4144-2144-211-2-2-1-4-4211-2-200441-2-1-1221-2-1-1220-400-2-2002200001-21-200-120000-21-2100002-12-100001100-1-1000000000
χ4744-4144-2144-211-2-2-1-4-4211-2-200-4-41-2-1-1221-2-1-12204002-200-220000-12-12001-200002-1-210000-212-10000-11001-1000000000
χ4844-4144-2144-211-2-2-1-4-4211-2-200-4-41-2-1-1221-2-1-1220400-22002-20000-12-12001-20000-212-100002-1-2100001-100-11000000000
χ4944-441-2441-2411-2-2-4-12-411-2-24400-21-1-122-2122-1-1-40002200-2-21-21-20000-12000000-12-1200001-21-20000-1-10011000000000
χ5044-441-2441-2411-2-2-4-12-411-2-24400-21-1-122-2122-1-1-4000-2-200221-21-20000-120000001-21-20000-12-1200001100-1-1000000000
χ5144-441-2441-2411-2-2-4-12-411-2-2-4-400-21-1-122-2122-1-140002-200-22-12-1200001-2000000-121-200001-2-120000-11001-1000000000
χ5244-441-2441-2411-2-2-4-12-411-2-2-4-400-21-1-122-2122-1-14000-22002-2-12-1200001-20000001-2-120000-121-200001-100-11000000000
χ5344-44-2144-214-2-211-42-1-4-2-21144001-222-1-11-2-1-122-402200-2-200-21-2100002-100-12-1200001-21-2000000-1-1001100000000000
χ5444-44-2144-214-2-211-42-1-4-2-21144001-222-1-11-2-1-122-40-2-2002200-21-2100002-1001-21-20000-12-120000001100-1-100000000000
χ5544-44-2144-214-2-211-42-1-4-2-211-4-4001-222-1-11-2-1-122402-200-22002-12-10000-2100-121-200001-2-12000000-11001-100000000000
χ5644-44-2144-214-2-211-42-1-4-2-211-4-4001-222-1-11-2-1-12240-22002-2002-12-10000-21001-2-120000-121-20000001-100-1100000000000
χ5744-4-2441-2441-2-2112-4-4-1-2-2110044-2122-1-1-2122-1-10-42200-2-2000000-21-21002-12-12-10000-21-21000000-1-1001100000000000
χ5844-4-2441-2441-2-2112-4-4-1-2-2110044-2122-1-1-2122-1-10-4-2-20022000000-21-21002-1-21-2100002-12-10000001100-1-100000000000
χ5944-4-2441-2441-2-2112-4-4-1-2-21100-4-4-2122-1-1-2122-1-1042-200-220000002-12-100-212-1-210000-212-1000000-11001-100000000000
χ6044-4-2441-2441-2-2112-4-4-1-2-21100-4-4-2122-1-1-2122-1-104-22002-20000002-12-100-21-212-100002-1-210000001-100-1100000000000
χ6188822-4-422-4-45-42222-4-45-4220000-1-15-422-1-1-1-1-1-10000040004000000000000000000-2-2000000-2-20000010001000000000
χ6288822-4-422-4-45-42222-4-45-4220000-1-15-422-1-1-1-1-1-100000-4000-4000000000000000000220000002200000-1000-1000000000
χ6388822-4-422-4-4-452222-4-4-45220000-1-1-4522-1-1-1-1-1-100004000400000000000000000-2-2000000-2-2000000100010000000000
χ6488822-4-422-4-4-452222-4-4-45220000-1-1-4522-1-1-1-1-1-10000-4000-4000000000000000002200000022000000-1000-10000000000
χ65888-4-422-4-422225-4-4-422225-40000-1-1225-4-1-1-1-1-1-1000400040000000000000000-2-2000000-2-200000001000100000000000
χ66888-4-422-4-422225-4-4-422225-40000-1-1225-4-1-1-1-1-1-1000-4000-4000000000000000022000000220000000-1000-100000000000
χ67888-4-422-4-42222-45-4-42222-450000-1-122-45-1-1-1-1-1-10040004000000000000000-2-2000000-2-20000000010001000000000000
χ68888-4-422-4-42222-45-4-42222-450000-1-122-45-1-1-1-1-1-100-4000-4000000000000000220000002200000000-1000-1000000000000
χ6988-822-4-422-4-45-422-2-2445-4220000-1-1-54-2-2-1-11111000004000-4000000000000000000-2-200000022000001000-1000000000
χ7088-822-4-422-4-45-422-2-2445-4220000-1-1-54-2-2-1-1111100000-4000400000000000000000022000000-2-200000-10001000000000
χ7188-822-4-422-4-4-4522-2-244-45220000-1-14-5-2-2-1-1111100004000-400000000000000000-2-2000000220000001000-10000000000
χ7288-822-4-422-4-4-4522-2-244-45220000-1-14-5-2-2-1-111110000-400040000000000000000022000000-2-2000000-100010000000000
χ7388-8-4-422-4-422225-444-2-2225-40000-1-1-2-2-54-1-111110004000-40000000000000000-2-20000002200000001000-100000000000
χ7488-8-4-422-4-422225-444-2-2225-40000-1-1-2-2-54-1-11111000-40004000000000000000022000000-2-20000000-1000100000000000
χ7588-8-4-422-4-42222-4544-2-222-450000-1-1-2-24-5-1-11111004000-4000000000000000-2-200000022000000001000-1000000000000
χ7688-8-4-422-4-42222-4544-2-222-450000-1-1-2-24-5-1-1111100-4000400000000000000022000000-2-200000000-10001000000000000
χ778-80288-4-2-8-8422-4-40000-2-244008-82-40000-240000000000000000002-4-24000000000000000000000000000000000000000
χ788-80288-4-2-8-8422-4-40000-2-24400-882-40000-24000000000000000000-242-4000000000000000000000000000000000000000
χ798-8082-48-8-24-822-4-40000-2-2448-800-4200004-2000000000000002-4-240000000000000000000000000000000000000000000
χ808-8082-48-8-24-822-4-40000-2-244-8800-4200004-200000000000000-242-40000000000000000000000000000000000000000000
χ818-808-428-84-2-8-4-422000044-2-28-8002-40000-2400000000000000-424-20000000000000000000000000000000000000000000
χ828-808-428-84-2-8-4-422000044-2-2-88002-40000-24000000000000004-2-420000000000000000000000000000000000000000000
χ838-80-48824-8-8-2-4-422000044-2-2008-8-4200004-2000000000000000000-424-2000000000000000000000000000000000000000
χ848-80-48824-8-8-2-4-422000044-2-200-88-4200004-20000000000000000004-2-42000000000000000000000000000000000000000
χ851616164-84-84-84-8-2-2-2-24-84-8-2-2-2-2000014-2-2-2-2141144000000000000000000000000000000000000000000000000000000000
χ86161616-84-84-84-84-2-2-2-2-84-84-2-2-2-2000041-2-2-2-2414411000000000000000000000000000000000000000000000000000000000
χ871616-164-84-84-84-8-2-2-2-2-48-48-2-2-2-2000014222214-1-1-4-4000000000000000000000000000000000000000000000000000000000
χ881616-16-84-84-84-84-2-2-2-28-48-4-2-2-2-2000041222241-4-4-1-1000000000000000000000000000000000000000000000000000000000
χ8916-16044-8-8-4-48810-8440000-108-4-40000-2-20000220000000000000000000000000000000000000000000000000000000000000
χ9016-16044-8-8-4-488-8104400008-10-4-40000-2-20000220000000000000000000000000000000000000000000000000000000000000
χ9116-1604-84-8-48-48-2-2-2-2000022220000140000-1-49-900000000000000000000000000000000000000000000000000000000000
χ9216-1604-84-8-48-48-2-2-2-2000022220000140000-1-4-9900000000000000000000000000000000000000000000000000000000000
χ9316-160-84-848-48-4-2-2-2-2000022220000410000-4-1009-9000000000000000000000000000000000000000000000000000000000
χ9416-160-84-848-48-4-2-2-2-2000022220000410000-4-100-99000000000000000000000000000000000000000000000000000000000
χ9516-160-8-84488-4-44410-80000-4-4-1080000-2-20000220000000000000000000000000000000000000000000000000000000000000
χ9616-160-8-84488-4-444-8100000-4-48-100000-2-20000220000000000000000000000000000000000000000000000000000000000000

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