Finite Group Databasebeta

← Group #72220719

Character table — Group #72220719

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1144444444999916161616161616163636363636363636363636363636363636367272727272727272727272727272727272727272727272728181144144144144144144144144324324324324
order12333366662222333366662222224444666666666666666666661212121212121212121212122266666612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11-11111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-1
χ3111111111111111111111111-1-111-1-1-1111111111-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-11-1-1
χ4111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ51111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ61111111111111111111111-1-111-1-111-111111111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-11-1-1
χ71111111111111111111111-1-1-1-111111-111111111-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ922222222222-22-22222222200000000022-22-22-22-2000000000000000000002222-2-2000000000-200
χ1022222222222-22-222222222000000000-22-22-22-22-200000000000000000000-2-2-2-2-2-2000000000200
χ112222222222-22-22222222220000000020-22-22-22-22000000000000000022220000-2-200000000-2000
χ122222222222-22-222222222200000000-20-22-22-22-220000000000000000-2-2-2-20000-2-2000000002000
χ132222222222-2-2-2-2222222220000000000-2-2-2-2-2-2-2-20000000000000000000000002200000000002-2
χ142222222222-2-2-2-2222222220000000000-2-2-2-2-2-2-2-2000000000000000000000000220000000000-22
χ152-22222-2-2-2-222-2-22222-2-2-2-20000002i−2i002222-2-2-2-20000000000002i2i−2i−2i000000002-20000002i−2i0000
χ162-22222-2-2-2-222-2-22222-2-2-2-2000000−2i2i002222-2-2-2-2000000000000−2i−2i2i2i000000002-2000000−2i2i0000
χ172-22222-2-2-2-22-2-222222-2-2-2-2002-20000002-22-2-22-222-20000002-200000000000000-22002-200000000
χ182-22222-2-2-2-22-2-222222-2-2-2-200-220000002-22-2-22-22-22000000-2200000000000000-2200-2200000000
χ192-22222-2-2-2-2-222-22222-2-2-2-200002-20000-22-222-22-2002-20000002-2000000000000-2200002-2000000
χ202-22222-2-2-2-2-222-22222-2-2-2-20000-220000-22-222-22-200-22000000-22000000000000-220000-22000000
χ212-22222-2-2-2-2-2-2222222-2-2-2-22-200000000-2-2-2-22222000022-2-200000000000000002-22-20000000000
χ222-22222-2-2-2-2-2-2222222-2-2-2-2-2200000000-2-2-2-222220000-2-22200000000000000002-2-220000000000
χ2344144-24-214040411-2-21-2-210000222240010-2010-200-1-1000000222-12-111-2-20000000000-1-1-1-10000
χ2444144-24-214040411-2-21-2-21000022-2-2-40010-2010-200-1-100000022-21-21-1-1220000000000-1-1110000
χ2544144-24-214040411-2-21-2-210000-2-222-40010-2010-20011000000-2-22-12-1-1-122000000000011-1-10000
χ2644144-24-214040411-2-21-2-210000-2-2-2-240010-2010-20011000000-2-2-21-2111-2-2000000000011110000
χ274441-24-244140401-21-2-21-21002200220410-2010-20-1-10000002200-12-12000011-2-20000-1-100-1-10000
χ284441-24-244140401-21-2-21-21002200-2-20-410-2010-20-1-100000022001-21-20000-1-1220000-1-100110000
χ294441-24-244140401-21-2-21-2100-2-200220-410-2010-2011000000-2-200-12-120000-1-12200001100-1-10000
χ304441-24-244140401-21-2-21-2100-2-200-2-20410-2010-2011000000-2-2001-21-2000011-2-200001100110000
χ31444-214144-24040-21-211-21-22200220004-2010-20100022-12-1200-1-100000000-2-21100-1-100-1-1000000
χ32444-214144-24040-21-211-21-22200-2-2000-4-2010-201000-2-2-12-1200110000000022-1-100-1-10011000000
χ33444-214144-24040-21-211-21-2-2-20022000-4-2010-201000221-21-200-1-10000000022-1-1001100-1-1000000
χ34444-214144-24040-21-211-21-2-2-200-2-20004-2010-201000-2-21-21-2001100000000-2-21100110011000000
χ3544-244141-240404-2-211-211-222220000400-2010-20122002-12-1-1-1000000-2-211000000-1-1-1-100000000
χ3644-244141-240404-2-211-211-222-2-20000-400-2010-201-2-2002-12-11100000022-1-1000000-1-11100000000
χ3744-244141-240404-2-211-211-2-2-2220000-400-2010-2012200-21-21-1-100000022-1-100000011-1-100000000
χ3844-244141-240404-2-211-211-2-2-2-2-20000400-2010-201-2-200-21-2111000000-2-211000000111100000000
χ394-4144-2-42-1-4040-411-2-2-122-100002-22i−2i00010-20-10200-110000002-22i−i−2ii3i−3i000000000000-11−ii0000
χ404-4144-2-42-1-4040-411-2-2-122-100002-2−2i2i00010-20-10200-110000002-2−2ii2i−i−3i3i000000000000-11i−i0000
χ414-4144-2-42-1-4040-411-2-2-122-10000-222i−2i00010-20-102001-1000000-222i−i−2ii−3i3i0000000000001-1−ii0000
χ424-4144-2-42-1-4040-411-2-2-122-10000-22−2i2i00010-20-102001-1000000-22−2ii2i−i3i−3i0000000000001-1i−i0000
χ434-441-242-4-4-140-401-21-22-12-1002-2002i−2i0010-20-1020-110000002-200−i2ii−2i00003i−3i000000-1100−ii0000
χ444-441-242-4-4-140-401-21-22-12-1002-200−2i2i0010-20-1020-110000002-200i−2i−i2i0000−3i3i000000-1100i−i0000
χ454-441-242-4-4-140-401-21-22-12-100-22002i−2i0010-20-10201-1000000-2200−i2ii−2i0000−3i3i0000001-100−ii0000
χ464-441-242-4-4-140-401-21-22-12-100-2200−2i2i0010-20-10201-1000000-2200i−2i−i2i00003i−3i0000001-100i−i0000
χ474-44-214-1-4-42-4040-21-21-12-122-2002-2000020-10-2010002-2-121-200-1100000000003-300-1100-11000000
χ484-44-214-1-4-42-4040-21-21-12-122-200-22000020-10-201000-22-121-2001-10000000000-3300-11001-1000000
χ494-44-214-1-4-42-4040-21-21-12-12-22002-2000020-10-2010002-21-2-1200-110000000000-33001-100-11000000
χ504-44-214-1-4-42-4040-21-21-12-12-2200-22000020-10-201000-221-2-12001-100000000003-3001-1001-1000000
χ514-4-2441-4-12-40-404-2-2112-1-122-22-2000000020-10-2012-2002-1-21-11000000003-3000000-11-1100000000
χ524-4-2441-4-12-40-404-2-2112-1-122-2-22000000020-10-201-22002-1-211-100000000-33000000-111-100000000
χ534-4-2441-4-12-40-404-2-2112-1-12-222-2000000020-10-2012-200-212-1-1100000000-330000001-1-1100000000
χ544-4-2441-4-12-40-404-2-2112-1-12-22-22000000020-10-201-2200-212-11-1000000003-30000001-11-100000000
χ5588288-48-4280-80-822-4-42-4-4200000000000-2040-20400000000000000000000000000000000000000
χ568882-48-4882-80-802-42-4-42-420000000000-2040-204000000000000000000000000000000000000000
χ57888-428288-4-80-80-42-422-42-4000000000040-2040-2000000000000000000000000000000000000000
χ5888-488282-480-80-8-4-422-422-40000000000040-2040-200000000000000000000000000000000000000
χ598-8288-4-84-2-80-80822-4-4-244-200000000000-204020-400000000000000000000000000000000000000
χ608-882-484-8-8-2-80802-42-44-24-20000000000-204020-4000000000000000000000000000000000000000
χ618-88-428-2-8-8480-80-42-42-24-240000000000-402040-2000000000000000000000000000000000000000
χ628-8-4882-8-24-8080-8-4-4224-2-2400000000000-402040-200000000000000000000000000000000000000
χ63161644-8-8-8-84400001-2-24-2-241000000440000000000000000000000-2-2-2-20000000000000000110000
χ64161644-8-8-8-84400001-2-24-2-241000000-4-4000000000000000000000022220000000000000000-1-10000
χ6516164-84-84-84-80000-214-214-2-200004400000000000000-2-2000000-2-200000000000000000011000000
χ6616164-84-84-84-80000-214-214-2-20000-4-4000000000000002200000022000000000000000000-1-1000000
χ671616-84-84-84-840000-241-241-2-2004400000000000000-2-2000000-2-20000000000000000001100000000
χ681616-84-84-84-840000-241-241-2-200-4-4000000000000002200000022000000000000000000-1-100000000
χ691616-8-84444-8-800004-2-21-2-2144400000000000000000000-2-2-2-2000000000000000000110000000000
χ701616-8-84444-8-800004-2-21-2-214-4-4000000000000000000002222000000000000000000-1-10000000000
χ7116-1644-8-888-4-400001-2-2422-4-10000004i−4i0000000000000000000000−2i−2i2i2i0000000000000000i−i0000
χ7216-1644-8-888-4-400001-2-2422-4-1000000−4i4i00000000000000000000002i2i−2i−2i0000000000000000−ii0000
χ7316-164-84-8-48-480000-214-2-1-42200004-400000000000000-22000000-220000000000000000001-1000000
χ7416-164-84-8-48-480000-214-2-1-4220000-44000000000000002-20000002-2000000000000000000-11000000
χ7516-16-84-848-48-40000-241-2-4-122004-400000000000000-22000000-220000000000000000001-100000000
χ7616-16-84-848-48-40000-241-2-4-12200-44000000000000002-20000002-2000000000000000000-1100000000
χ7716-16-8-844-4-48800004-2-2122-1-44-400000000000000000000-2-2220000000000000000001-10000000000
χ7816-16-8-844-4-48800004-2-2122-1-4-440000000000000000000022-2-2000000000000000000-110000000000

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