Finite Group Databasebeta

← Group #11723031

Character table — Group #11723031

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444448888121212121212121212121212121212121212121212121212121212181818181818363636363636108
order122233366666666633366666666636662226666666666666666666666664444441212121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1
χ4111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111111111111111111111-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1
χ611111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11
χ711111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ9222222-12222-1-122-12-1-1222-1-1-1-1-1-1-1-1-1-1022000022-1-122-1-10000-1-1-1-1-1-1-1-10000220000-1-10
χ10222222-12222-1-122-12-1-1222-1-1-1-1-1-1-1-1-1-102-2000022-1-1-2-2110000-1-1-1-111110000-2-20000110
χ11222222-12222-1-122-12-1-1222-1-1-1-1-1-1-1-1-1-10-220000-2-21122-1-100001111-1-1-1-10000-2-20000110
χ12222222-12222-1-122-12-1-1222-1-1-1-1-1-1-1-1-1-10-2-20000-2-211-2-2110000111111110000220000-1-10
χ1322222-1222-1-1222-12-12-1-1-1-1222-1-1-1-1-1-1-120222-1-10000-1-122-1-1-1-10000-1-1-1-100220000-1-1000
χ1422222-1222-1-1222-12-12-1-1-1-1222-1-1-1-1-1-1-120-222-1-1000011-2-2-1-1-1-10000111100-2-2000011000
χ1522222-1222-1-1222-12-12-1-1-1-1222-1-1-1-1-1-1-1-202-2-2110000-1-12211110000-1-1-1-100-2-2000011000
χ1622222-1222-1-1222-12-12-1-1-1-1222-1-1-1-1-1-1-1-20-2-2-211000011-2-211110000111100220000-1-1000
χ172222-122-1-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1220-1-122-1-1220000-1-1-1-1-1-1-1-10000220000-1-100000
χ182222-122-1-12222-122-1-12-1-1-1-1-1-1222-1-1-1-12-20-1-12211-2-20000-1-1-1-111110000-2-200001100000
χ192222-122-1-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-22011-2-2-1-12200001111-1-1-1-10000-2-200001100000
χ202222-122-1-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-2-2011-2-211-2-20000111111110000220000-1-100000
χ2122-2-22222-22-2-2-2-2-222222-2-22-2-22-2-222-2-200000000000000000000000000000002-200002-20
χ2222-2-22222-22-2-2-2-2-222222-2-22-2-22-2-222-2-20000000000000000000000000000000-220000-220
χ2322-2-222-12-22-211-2-2-12-1-12-2-2-111-111-1-111000000000i3−i300i3−i30000i3i3−i3−i3i3i3−i3−i300002-20000-110
χ2422-2-222-12-22-211-2-2-12-1-12-2-2-111-111-1-111000000000i3−i300−i3i30000i3i3−i3−i3−i3−i3i3i30000-2200001-10
χ2522-2-222-12-22-211-2-2-12-1-12-2-2-111-111-1-111000000000−i3i300i3−i30000−i3−i3i3i3i3i3−i3−i30000-2200001-10
χ2622-2-222-12-22-211-2-2-12-1-12-2-2-111-111-1-111000000000−i3i300−i3i30000−i3−i3i3i3−i3−i3i3i300002-20000-110
χ272-22-2222-22-2-22-2-22-2222-22-2-22-2-22-22-22-2000000000000000000000000000002-200002-2000
χ282-22-2222-22-2-22-2-22-2222-22-2-22-2-22-22-22-200000000000000000000000000000-220000-22000
χ292-22-22-12-22112-2-2-1-2-12-11-11-22-21-11-11-1100000i3−i30000i3−i300i3i3−i3−i30000i3−i3i3−i3002-20000-11000
χ302-22-22-12-22112-2-2-1-2-12-11-11-22-21-11-11-1100000i3−i30000−i3i300i3i3−i3−i30000−i3i3−i3i300-2200001-1000
χ312-22-22-12-22112-2-2-1-2-12-11-11-22-21-11-11-1100000−i3i30000i3−i300−i3−i3i3i30000i3−i3i3−i300-2200001-1000
χ322-22-22-12-22112-2-2-1-2-12-11-11-22-21-11-11-1100000−i3i30000−i3i300−i3−i3i3i30000−i3i3−i3i3002-20000-11000
χ332-2-22222-2-2-22-222-2-2222-2-22-2-22-2-222-2-220000000000000000000000000002-200002-200000
χ342-2-22222-2-2-22-222-2-2222-2-22-2-22-2-222-2-22000000000000000000000000000-220000-2200000
χ352-2-22-12211-22-22-1-2-2-1-1211-111-1-2-22-111-1000i3−i300i3−i3000000i3−i3i3−i3i3−i3i3−i300002-20000-1100000
χ362-2-22-12211-22-22-1-2-2-1-1211-111-1-2-22-111-1000i3−i300−i3i3000000i3−i3i3−i3−i3i3−i3i30000-2200001-100000
χ372-2-22-12211-22-22-1-2-2-1-1211-111-1-2-22-111-1000−i3i300i3−i3000000−i3i3−i3i3i3−i3i3−i30000-2200001-100000
χ382-2-22-12211-22-22-1-2-2-1-1211-111-1-2-22-111-1000−i3i300−i3i3000000−i3i3−i3i3−i3i3−i3i300002-20000-1100000
χ3944444-2-244-2-2-2-24-2-2-2-21-2-2-2-2-2-2111111100400000000-2-2-2-20000000011110000000000000
χ4044444-2-244-2-2-2-24-2-2-2-21-2-2-2-2-2-2111111100-400000000222200000000-1-1-1-10000000000000
χ414444-24-2-2-244-2-2-24-2-21-2-2-2-2111-2-2-211110400000-2-2-2-200000000111100000000000000000
χ424444-24-2-2-244-2-2-24-2-21-2-2-2-2111-2-2-211110-400000222200000000-1-1-1-100000000000000000
χ434444-2-24-2-2-2-244-2-241-2-2111-2-2-2-2-2-21111400-2-2-2-2000000001111000000000000000000000
χ444444-2-24-2-2-2-244-2-241-2-2111-2-2-2-2-2-21111-400222200000000-1-1-1-1000000000000000000000
χ4544-4-44-244-4-22-4-4-424-24-2-2224-4-4-222-2-2220000000000000000000000000000000000000000
χ4644-4-44-2-24-4-2222-42-2-2-21-222-2221-1-111-1-100000000000002i3−2i300000000−i3−i3i3i30000000000000
χ4744-4-44-2-24-4-2222-42-2-2-21-222-2221-1-111-1-10000000000000−2i32i300000000i3i3−i3−i30000000000000
χ4844-4-4-244-224-4-4-42-44-2-24-222-2224-4-4-2-2220000000000000000000000000000000000000000
χ4944-4-4-24-2-224-4222-4-2-21-2-2221-1-1-22211-1-10000000002i3−2i300000000−i3−i3i3i300000000000000000
χ5044-4-4-24-2-224-4222-4-2-21-2-2221-1-1-22211-1-1000000000−2i32i300000000i3i3−i3−i300000000000000000
χ5144-4-4-2-24-22-22-4-42241-2-21-1-1-222-22211-1-10000000000000003-3-33000000000000000000000
χ5244-4-4-2-24-22-22-4-42241-2-21-1-1-222-22211-1-1000000000000000-333-3000000000000000000000
χ534-44-444-2-44-4-4-22-4424-2-2-44-42-222-22-22-220000000000000000000000000000000000000000
χ544-44-44-2-2-4422-22-4-22-2-212-222-22-11-11-11-1000000000002i3−2i30000000000−i3i3−i3i30000000000000
χ554-44-44-2-2-4422-22-4-22-2-212-222-22-11-11-11-100000000000−2i32i30000000000i3−i3i3−i30000000000000
χ564-44-4-2442-2-4-44-424-4-2-242-222-22-44-4-22-220000000000000000000000000000000000000000
χ574-44-4-24-22-2-4-4-22242-21-22-22-11-12-221-11-100000000000000000003-3-3300000000000000000
χ584-44-4-24-22-2-4-4-22242-21-22-22-11-12-221-11-10000000000000000000-333-300000000000000000
χ594-44-4-2-242-2224-42-2-41-2-2-11-12-222-221-11-1000002i3−2i300000000−i3−i3i3i3000000000000000000000
χ604-44-4-2-242-2224-42-2-41-2-2-11-12-222-221-11-100000−2i32i300000000i3i3−i3−i3000000000000000000000
χ614-4-4444-2-4-4-442-24-424-2-2-4-4422-222-2-222-20000000000000000000000000000000000000000
χ624-4-444-24-4-42-2-4442-4-24-222-2-4-4422-2-222-20000000000000000000000000000000000000000
χ634-4-444-2-2-4-42-22-2422-2-2122-222-2-1-111-1-11000000000000000000000003-3-330000000000000
χ644-4-444-2-2-4-42-22-2422-2-2122-222-2-1-111-1-1100000000000000000000000-333-30000000000000
χ654-4-44-24-222-442-2-2-42-21-222-2-1-1122-21-1-1100000002i3−2i30000000000−i3i3−i3i300000000000000000
χ664-4-44-24-222-442-2-2-42-21-222-2-1-1122-21-1-110000000−2i32i30000000000i3−i3i3−i300000000000000000
χ674-4-44-2-24222-2-44-22-41-2-2-1-1122-222-21-1-110002i3−2i30000000000−i3i3−i3i3000000000000000000000
χ684-4-44-2-24222-2-44-22-41-2-2-1-1122-222-21-1-11000−2i32i30000000000i3−i3i3−i3000000000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-4222222222222-1-1-1-10000000000000000000000000000000000000000
χ7088-8-8-4-4-4-44-444444-42222-2-22-2-22-2-2-1-1110000000000000000000000000000000000000000
χ718-88-8-4-4-44-444-444-44222-22-2-22-2-22-2-11-110000000000000000000000000000000000000000
χ728-8-88-4-4-4444-44-4-444222-2-22-2-22-2-22-111-10000000000000000000000000000000000000000

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