Finite Group Databasebeta

← Group #72259926

Character table — Group #72259926

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222228899161616161618181818182424242424242424242424244848484848484848484848485454727272727272727272727272108108108108108216216324324324324432432
order12236663622366662666633366666666633366666666644666666666666412121212248888612
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311-111-1-111111-11-1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-11-111-1-11-1
χ411-111-1-111111-11-1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-11-1-111-11
χ5222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222200000000
χ6222222222-2-222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1001111111111110000000−i2i2−i2i200
χ7222222222-2-222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1001111111111110000000i2−i2i2−i200
χ8222-1-1-1-12222-12-1-1-12-1-1-1-12-1-12-1-122-1-1-1-12-1-12-1-122-1-1-1-12222-1-1-1-122-1-1-1-12-1-1-1-100000000
χ9222-1-1-1-12222-12-1-1-12-1-1-1-1-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-122-1-122-1-1-1-122-1-12-1-1-1-100000000
χ10222-1-1-1-12222-12-1-1-12-1-1-1-1-1-12-1-12-1-1-1-122-1-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1222-1-1-1-100000000
χ1122-222-2-222222-22-2-2-22-2-22-1-1-1-1-1-1111111-1-1-1-1-1-111111122-1-1-1-1-1-1111111-222-2-200000000
χ1222-222-2-222-2-22-22-2-22-222-2-1-1-1-1-1-1111111-1-1-1-1-1-111111100111111-1-1-1-1-1-10000000−i2i2i2−i200
χ1322-222-2-222-2-22-22-2-22-222-2-1-1-1-1-1-1111111-1-1-1-1-1-111111100111111-1-1-1-1-1-10000000i2−i2−i2i200
χ1422-2-1-1112222-1-2-111-2-111-12-1-12-1-1-2-211112-1-12-1-1-2-211112222-1-1-1-1-2-21111-2-1-11100000000
χ1522-2-1-1112222-1-2-111-2-111-1-12-1-12-111-2-211-12-1-12-111-2-21122-1-122-1-111-2-211-2-1-11100000000
χ1622-2-1-1112222-1-2-111-2-111-1-1-12-1-121111-2-2-1-12-1-121111-2-222-1-1-1-1221111-2-2-2-1-11100000000
χ172-202-2002-2-2220-2000-2002222-2-2-2000000222-2-2-20000002-22-22-22-200000002-20000000000
χ182-202-2002-2-2220-2000-2002-1-1-1111−i3i3−i3i3−i3i3-1-1-1111−i3i3−i3i3−i3i32-2-11-11-11−i3i3−i3i3−i3i302-20000000000
χ192-202-2002-2-2220-2000-2002-1-1-1111i3−i3i3−i3i3−i3-1-1-1111i3−i3i3−i3i3−i32-2-11-11-11i3−i3i3−i3i3−i302-20000000000
χ202-20-11−i3i32-2-22-101−i3i301−i3i3-12-1-1-21100−i3i3i3−i32-1-1-21100−i3i3i3−i32-22-2-11-1100−i3i3i3−i30-11−i3i300000000
χ212-20-11−i3i32-2-22-101−i3i301−i3i3-1-12-11-21i3−i300−i3i3-12-11-21i3−i300−i3i32-2-112-2-11i3−i300−i3i30-11−i3i300000000
χ222-20-11−i3i32-2-22-101−i3i301−i3i3-1-1-1211-2−i3i3i3−i300-1-1211-2−i3i3i3−i3002-2-11-112-2−i3i3i3−i3000-11−i3i300000000
χ232-20-11i3−i32-2-22-101i3−i301i3−i3-12-1-1-21100i3−i3−i3i32-1-1-21100i3−i3−i3i32-22-2-11-1100i3−i3−i3i30-11i3−i300000000
χ242-20-11i3−i32-2-22-101i3−i301i3−i3-1-12-11-21−i3i300i3−i3-12-11-21−i3i300i3−i32-2-112-2-11−i3i300i3−i30-11i3−i300000000
χ252-20-11i3−i32-2-22-101i3−i301i3−i3-1-1-1211-2i3−i3−i3i300-1-1211-2i3−i3−i3i3002-2-11-112-2i3−i3−i3i3000-11i3−i300000000
χ26333333333333333333333000000000000000000000000-1-1000000000000-1-1-1-1-111-1-1-1-111
χ27333333333333333333333000000000000000000000000-1-1000000000000-1-1-1-1-1-1-11111-1-1
χ2833-333-3-333333-33-3-3-33-3-33000000000000000000000000-1-10000000000001-1-1111-1-1-1111-1
χ2933-333-3-333333-33-3-3-33-3-33000000000000000000000000-1-10000000000001-1-111-1111-1-1-11
χ30444444444-4-444444-4-4-4-4-411111111111111111111111100-1-1-1-1-1-1-1-1-1-1-1-10000000000000
χ31444-2-2-2-244-4-4-24-2-2-2-4222211-211-21111-2-211-211-21111-2-200-1-1-1-122-1-1-1-1220000000000000
χ32444-2-2-2-244-4-4-24-2-2-2-422221-211-2111-2-2111-211-2111-2-21100-1-122-1-1-1-122-1-10000000000000
χ33444-2-2-2-244-4-4-24-2-2-2-42222-211-211-2-21111-211-211-2-211110022-1-1-1-122-1-1-1-10000000000000
χ3444-444-4-444-4-44-44-4-44-444-4111111-1-1-1-1-1-1111111-1-1-1-1-1-100-1-1-1-1-1-11111110000000000000
χ3544-4-2-22244-4-4-2-4-22242-2-2211-211-2-1-1-1-12211-211-2-1-1-1-12200-1-1-1-1221111-2-20000000000000
χ3644-4-2-22244-4-4-2-4-22242-2-221-211-21-1-122-1-11-211-21-1-122-1-100-1-122-1-111-2-2110000000000000
χ3744-4-2-22244-4-4-2-4-22242-2-22-211-21122-1-1-1-1-211-21122-1-1-1-10022-1-1-1-1-2-211110000000000000
χ384-404-4004-44-440-4000400-4111-1-1-1−i3i3−i3i3−i3i3111-1-1-1−i3i3−i3i3−i3i300-11-11-11i3−i3i3−i3i3−i30000000000000
χ394-404-4004-44-440-4000400-4111-1-1-1i3−i3i3−i3i3−i3111-1-1-1i3−i3i3−i3i3−i300-11-11-11−i3i3−i3i3−i3i30000000000000
χ404-404-4004-44-440-4000400-4-2-2-2222000000-2-2-2222000000002-22-22-20000000000000000000
χ414-40-22−2i32i34-44-4-202−2i32i30-22i3−2i3211-2-1-12i3−i3−i3i30011-2-1-12i3−i3−i3i30000-11-112-2−i3i3i3−i3000000000000000
χ424-40-22−2i32i34-44-4-202−2i32i30-22i3−2i321-21-12-1−i3i300i3−i31-21-12-1−i3i300i3−i300-112-2-11i3−i300−i3i30000000000000
χ434-40-22−2i32i34-44-4-202−2i32i30-22i3−2i32-2112-1-100i3−i3−i3i3-2112-1-100i3−i3−i3i3002-2-11-1100−i3i3i3−i30000000000000
χ444-40-222i3−2i34-44-4-2022i3−2i30-2−2i32i3211-2-1-12−i3i3i3−i30011-2-1-12−i3i3i3−i30000-11-112-2i3−i3−i3i3000000000000000
χ454-40-222i3−2i34-44-4-2022i3−2i30-2−2i32i321-21-12-1i3−i300−i3i31-21-12-1i3−i300−i3i300-112-2-11−i3i300i3−i30000000000000
χ464-40-222i3−2i34-44-4-2022i3−2i30-2−2i32i32-2112-1-100−i3i3i3−i3-2112-1-100−i3i3i3−i3002-2-11-1100i3−i3−i3i30000000000000
χ47666-3-3-3-36666-36-3-3-36-3-3-3-3000000000000000000000000-2-2000000000000-2111100000000
χ4866-6-3-3336666-3-6-333-6-333-3000000000000000000000000-2-2000000000000211-1-100000000
χ496-606-6006-6-6660-6000-6006000000000000000000000000-220000000000000-220000000000
χ506-60-33−3i33i36-6-66-303−3i33i303−3i33i3-3000000000000000000000000-2200000000000001-1i3−i300000000
χ516-60-333i3−3i36-6-66-3033i3−3i3033i3−3i3-3000000000000000000000000-2200000000000001-1−i3i300000000
χ528888888-1-100-1-1-1-1-100000222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000220000-1-1
χ538888888-1-100-1-1-1-1-100000222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-2000011
χ5488-888-8-8-1-100-11-11100000222222-2-2-2-2-2-2-1-1-1-1-1-111111100000000000000000002-20000-11
χ5588-888-8-8-1-100-11-11100000222222-2-2-2-2-2-2-1-1-1-1-1-11111110000000000000000000-2200001-1
χ5616161616161616-2-200-2-2-2-2-200000-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000
χ57161616-8-8-8-8-2-2001-2111000004-2-24-2-244-2-2-2-2-211-211-2-21111000000000000000000000000000
χ58161616-8-8-8-8-2-2001-211100000-24-2-24-2-2-244-2-21-211-2111-2-211000000000000000000000000000
χ59161616-8-8-8-8-2-2001-211100000-2-24-2-24-2-2-2-24411-211-21111-2-2000000000000000000000000000
χ601616-161616-16-16-2-200-22-22200000-2-2-2-2-2-2222222111111-1-1-1-1-1-1000000000000000000000000000
χ611616-16-8-888-2-200121-1-1000004-2-24-2-2-4-42222-211-21122-1-1-1-1000000000000000000000000000
χ621616-16-8-888-2-200121-1-100000-24-2-24-222-4-4221-211-21-1-122-1-1000000000000000000000000000
χ631616-16-8-888-2-200121-1-100000-2-24-2-242222-4-411-211-2-1-1-1-122000000000000000000000000000
χ6416-16016-1600-2200-2020000000444-4-4-4000000-2-2-2222000000000000000000000000000000000
χ6516-16016-1600-2200-2020000000-2-2-2222−2i32i3−2i32i3−2i32i3111-1-1-1i3−i3i3−i3i3−i3000000000000000000000000000
χ6616-16016-1600-2200-2020000000-2-2-22222i3−2i32i3−2i32i3−2i3111-1-1-1−i3i3−i3i3−i3i3000000000000000000000000000
χ6716-160-88−8i38i3-220010-1i3−i3000004-2-2-42200−2i32i32i3−2i3-2112-1-100i3−i3−i3i3000000000000000000000000000
χ6816-160-88−8i38i3-220010-1i3−i300000-24-22-422i3−2i300−2i32i31-21-12-1−i3i300i3−i3000000000000000000000000000
χ6916-160-88−8i38i3-220010-1i3−i300000-2-2422-4−2i32i32i3−2i30011-2-1-12i3−i3−i3i300000000000000000000000000000
χ7016-160-888i3−8i3-220010-1−i3i3000004-2-2-422002i3−2i3−2i32i3-2112-1-100−i3i3i3−i3000000000000000000000000000
χ7116-160-888i3−8i3-220010-1−i3i300000-24-22-42−2i32i3002i3−2i31-21-12-1i3−i300−i3i3000000000000000000000000000
χ7216-160-888i3−8i3-220010-1−i3i300000-2-2422-42i3−2i3−2i32i30011-2-1-12−i3i3i3−i300000000000000000000000000000

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