Finite Group Databasebeta

← Group #72220227

Character table — Group #72220227

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11444444441616161616161616181818181818727272727272727272727272727272728181144144144144144144144144144144144144144144144144162162162162162162162162
order12333366663333666644888822441212121224242424242424242266666666121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ31111111111111111111111-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111-1-1-11-1111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1
χ511111111111111111111-1-1111-1-111111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-111
χ611111111111111111111-1-111-111-11111-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ92222222222222222222-20022000022-2-200002222-2-20000000000000000000000-2-2
χ102222222222222222222-200-2-2000022-2-20000-2-2-2-2-2-2000000000000000000000022
χ11222222222222222222-2222000000-2-22222220000-2-200000000000000000000-2-200
χ12222222222222222222-22-2-2000000-2-222-2-2-2-20000-2-2000000000000000000002200
χ13222222222222222222-2-200000000-2-2-2-20000000022000000000000000022-2-20000
χ14222222222222222222-2-200000000-2-2-2-200000000220000000000000000-2-2220000
χ152-22222-2-2-2-22222-2-2-2-200i2−i2i2−i200000000i2i2−i2−i2i2i2−i2−i22-20000000000000000002-2i2−i2i2−i2
χ162-22222-2-2-2-22222-2-2-2-200i2−i2i2−i200000000i2i2−i2−i2i2i2−i2−i2-2200000000000000002-200−i2i2−i2i2
χ172-22222-2-2-2-22222-2-2-2-200i2−i2−i2i200000000i2i2−i2−i2−i2−i2i2i22-2000000000000000000-22i2−i2−i2i2
χ182-22222-2-2-2-22222-2-2-2-200i2−i2−i2i200000000i2i2−i2−i2−i2−i2i2i2-220000000000000000-2200−i2i2i2−i2
χ192-22222-2-2-2-22222-2-2-2-200−i2i2i2−i200000000−i2−i2i2i2i2i2−i2−i22-2000000000000000000-22−i2i2i2−i2
χ202-22222-2-2-2-22222-2-2-2-200−i2i2i2−i200000000−i2−i2i2i2i2i2−i2−i2-220000000000000000-2200i2−i2−i2i2
χ212-22222-2-2-2-22222-2-2-2-200−i2i2−i2i200000000−i2−i2i2i2−i2−i2i2i22-20000000000000000002-2−i2i2−i2i2
χ222-22222-2-2-2-22222-2-2-2-200−i2i2−i2i200000000−i2−i2i2i2−i2−i2i2i2-2200000000000000002-200i2−i2i2−i2
χ2344144-2144-21-21-21-21-20444000202001-21-21-2000000002-100-1-1002-100-1-100000000
χ2444144-2144-21-21-21-21-20444000-20-2001-21-21-200000000-21001100-21001100000000
χ2544144-2144-21-21-21-21-204-4-400020-2001-2-12-12000000002-100-1-100-21001100000000
χ2644144-2144-21-21-21-21-204-4-4000-202001-2-12-1200000000-210011002-100-1-100000000
χ274441-2441-241-2-21-211-240004420021-20000001-21-200-1200-1-10000-1200-1-100000000
χ284441-2441-241-2-21-211-2400044-200-21-20000001-21-2001-2001100001-2001100000000
χ294441-2441-241-2-21-211-24000-4-4200-21-2000000-12-1200-1200-1-100001-2001100000000
χ304441-2441-241-2-21-211-24000-4-4-20021-2000000-12-12001-200110000-1200-1-100000000
χ31444-2144-214-211-21-2-214000440220-21000000-21-210000-1200-1-1-1200-1-10000000000
χ32444-2144-214-211-21-2-214000440-2-20-21000000-21-2100001-200111-200110000000000
χ33444-2144-214-211-21-2-214000-4-402-20-210000002-12-10000-1200-1-11-200110000000000
χ34444-2144-214-211-21-2-214000-4-40-220-210000002-12-100001-20011-1200-1-10000000000
χ3544-2441-2441-21-21-21-21044400202000-21-21-210000002-100-1-1002-100-1-10000000000
χ3644-2441-2441-21-21-21-21044400-20-2000-21-21-21000000-21001100-2100110000000000
χ3744-2441-2441-21-21-21-2104-4-40020-2000-212-12-10000002-100-1-100-2100110000000000
χ3844-2441-2441-21-21-21-2104-4-400-202000-212-12-1000000-210011002-100-1-10000000000
χ3988288-4288-42-42-42-42-40-80000000000-240000000000000000000000000000000000
χ408882-4882-482-4-42-422-4-8000000000-24000000000000000000000000000000000000
χ41888-4288-428-422-42-4-42-80000000004-2000000000000000000000000000000000000
χ4288-4882-4882-42-42-42-420-800000000004-20000000000000000000000000000000000
χ438-8288-4-2-8-842-42-4-24-24004i2−4i20000000000i2−2i2−i22i2000000000000000000000000000000
χ448-8288-4-2-8-842-42-4-24-2400−4i24i20000000000−i22i2i2−2i2000000000000000000000000000000
χ458-882-48-8-24-82-4-424-2-2400004i2−4i2000000000000i2−2i2−i22i200000000000000000000000000
χ468-882-48-8-24-82-4-424-2-240000−4i24i2000000000000−i22i2i2−2i200000000000000000000000000
χ478-88-428-84-2-8-422-4-244-200004i2−4i2000000000000−2i2i22i2−i200000000000000000000000000
χ488-88-428-84-2-8-422-4-244-20000−4i24i20000000000002i2−i2−2i2i200000000000000000000000000
χ498-8-48824-8-8-2-42-424-24-2004i2−4i20000000000−2i2i22i2−i2000000000000000000000000000000
χ508-8-48824-8-8-2-42-424-24-200−4i24i200000000002i2−i2−2i2i2000000000000000000000000000000
χ51161644-8-844-8-814-2-2-2-2140000000004000000000000000000000000-2-2001100000000
χ52161644-8-844-8-814-2-2-2-214000000000-40000000000000000000000002200-1-100000000
χ5316164-84-84-84-8-2-21414-2-200000004000000000000000000-2-200110000000000000000
χ5416164-84-84-84-8-2-21414-2-20000000-40000000000000000002200-1-10000000000000000
χ551616-84-84-84-84-2-24141-2-2000000400000000000000000-2-20011000000000000000000
χ561616-84-84-84-84-2-24141-2-2000000-4000000000000000002200-1-1000000000000000000
χ571616-8-844-8-84441-2-2-2-24100000000400000000000000000000000-2-200110000000000
χ581616-8-844-8-84441-2-2-2-24100000000-4000000000000000000000002200-1-10000000000
χ5916-1644-8-8-4-48814-2-222-1-4000000000000000000000000000000000000003i−3i00000000
χ6016-1644-8-8-4-48814-2-222-1-400000000000000000000000000000000000000−3i3i00000000
χ6116-164-84-8-48-48-2-214-1-4220000000000000000000000000000003-30000000000000000
χ6216-164-84-8-48-48-2-214-1-422000000000000000000000000000000-330000000000000000
χ6316-16-84-848-48-4-2-241-4-12200000000000000000000000000003-3000000000000000000
χ6416-16-84-848-48-4-2-241-4-1220000000000000000000000000000-33000000000000000000
χ6516-16-8-84488-4-441-2-222-4-10000000000000000000000000000000000003i−3i0000000000
χ6616-16-8-84488-4-441-2-222-4-1000000000000000000000000000000000000−3i3i0000000000

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