Finite Group Databasebeta

← Group #13140618

Character table — Group #13140618

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222224466666666888121212121212121224242424242424242424363636363636363636363636363636363636727272727272727272
order1222344666121233666666266366612121212666666661212448888121212122424242424242424444121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111
χ511111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1111-1-111
χ811111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1
χ92222222222222-122-1-12-1222-1-1-1-12-12-122-1-1-1-1-1-1-1-100002200000000-1-1-1-10020000-1-1
χ102222222222222-122-1-12-1222-1-1-1-12-12-122-1-1-1-1-1-1-1-10000-2-200000000111100-2000011
χ112222222222222-122-1-12-1-2-2-2-1-1-1-12-12-1-2-2111111-1-100002200000000-1-1-1-100-2000011
χ122222222222222-122-1-12-1-2-2-2-1-1-1-12-12-1-2-2111111-1-10000-2-20000000011110020000-1-1
χ13222222222222-12-1-122-12222-1-1-1-1-12-12-1-122-1-1-1-1-1-10022000000-1-1-1-1000002000-1-100
χ14222222222222-12-1-122-12222-1-1-1-1-12-12-1-122-1-1-1-1-1-100-2-2000000111100000-20001100
χ15222222222222-12-1-122-12-2-2-2-1-1-1-1-12-1211-2-21111-1-10022000000-1-1-1-100000-20001100
χ16222222222222-12-1-122-12-2-2-2-1-1-1-1-12-1211-2-21111-1-100-2-20000001111000002000-1-100
χ1722222-2-2222-2-2222222220002222-2-2-2-200000000-2-22-2000022-2-200000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-200000000-2-2-220000-2-22200000000000000000
χ192-2-2222-2-2-222-222-2-2-2-2220002-2-222-2-22000000002-200002-20000000022-2-2000000000
χ202-2-2222-2-2-222-222-2-2-2-2220002-2-222-2-22000000002-20000-2200000000-2-222000000000
χ212-2-2222-2-2-222-22-1-2-2112-1000-111-121-2-100−i3i3−i3−i3i3i3-1100002-200000000-1-1110000000−i3i3
χ222-2-2222-2-2-222-22-1-2-2112-1000-111-121-2-100−i3i3−i3−i3i3i3-110000-220000000011-1-10000000i3−i3
χ232-2-2222-2-2-222-22-1-2-2112-1000-111-121-2-100i3−i3i3i3−i3−i3-1100002-200000000-1-1110000000i3−i3
χ242-2-2222-2-2-222-22-1-2-2112-1000-111-121-2-100i3−i3i3i3−i3−i3-110000-220000000011-1-10000000−i3i3
χ252-2-222-22-2-22-2222-2-2-2-2220002-2-22-222-200000000-22002-200000022-2-20000000000000
χ262-2-222-22-2-22-2222-2-2-2-2220002-2-22-222-200000000-2200-22000000-2-2220000000000000
χ272-2-222-22-2-22-22-1211-2-2-12000-111-112-1-2−i3i300−i3i3−i3i31-1002-2000000-1-111000000000−i3i300
χ282-2-222-22-2-22-22-1211-2-2-12000-111-112-1-2−i3i300−i3i3−i3i31-100-2200000011-1-1000000000i3−i300
χ292-2-222-22-2-22-22-1211-2-2-12000-111-112-1-2i3−i300i3−i3i3−i31-1002-2000000-1-111000000000i3−i300
χ302-2-222-22-2-22-22-1211-2-2-12000-111-112-1-2i3−i300i3−i3i3−i31-100-2200000011-1-1000000000−i3i300
χ31444444444444-2-2-2-2-2-2-2-24441111-2-2-2-2-2-2-2-2111111000000000000000000000000000
χ32444444444444-2-2-2-2-2-2-2-2-4-4-41111-2-2-2-22222-1-1-1-111000000000000000000000000000
χ3344444-4-4444-4-44-244-2-24-2000-2-2-2-2-42-420000000022000000000000000000000000000
χ3444444-4-4444-4-4-24-2-244-24000-2-2-2-22-42-40000000022000000000000000000000000000
χ3544444-4-4444-4-4-2-2-2-2-2-2-2-20001111222200003-3-33-1-1000000000000000000000000000
χ3644444-4-4444-4-4-2-2-2-2-2-2-2-2000111122220000-333-3-1-1000000000000000000000000000
χ3744-4-44004-4-400444-44-4-4-400044-4-400000000000000000000000000000000000000000
χ3844-4-44004-4-4004-24-4-22-42000-2-22200000000000000000000000000006−66−6000000000
χ3944-4-44004-4-4004-24-4-22-42000-2-2220000000000000000000000000000−66−66000000000
χ4044-4-44004-4-400-24-224-42-4000-2-2220000000000000000000000006−66−60000000000000
χ4144-4-44004-4-400-24-224-42-4000-2-222000000000000000000000000−66−660000000000000
χ424-44-4400-44-40044-44-44-4-40004-44-400000000000000000000000000000000000000000
χ434-44-4400-44-4004-2-442-2-42000-22-2200000000000000000000000000006−6−66000000000
χ444-44-4400-44-4004-2-442-2-42000-22-220000000000000000000000000000−666−6000000000
χ454-44-4400-44-400-242-2-442-4000-22-220000000000000000000000006−6−660000000000000
χ464-44-4400-44-400-242-2-442-4000-22-22000000000000000000000000−666−60000000000000
χ474-4-4444-4-4-444-4-2422-4-4-24000-222-2-2-42400000000-22000000000000000000000000000
χ484-4-4444-4-4-444-4-2-22222-2-20001-1-11-222-200−2i32i3i3i3−i3−i31-1000000000000000000000000000
χ494-4-4444-4-4-444-4-2-22222-2-20001-1-11-222-2002i3−2i3−i3−i3i3i31-1000000000000000000000000000
χ504-4-444-44-4-44-444-2-4-4224-2000-222-2-4-242000000002-2000000000000000000000000000
χ514-4-444-44-4-44-44-2-22222-2-20001-1-112-2-22−2i32i300i3−i3i3−i3-11000000000000000000000000000
χ524-4-444-44-4-44-44-2-22222-2-20001-1-112-2-222i3−2i300−i3i3−i3i3-11000000000000000000000000000
χ536666-366-3-3-3-3-3000000006-3-3000000000000000000220000-1-1-1-100000000200-1-10000
χ546666-366-3-3-3-3-3000000006-3-3000000000000000000-2-20000111100000000-200110000
χ556666-366-3-3-3-3-300000000-633000000000000000000220000-1-1-1-100000000-200110000
χ566666-366-3-3-3-3-300000000-633000000000000000000-2-20000111100000000200-1-10000
χ576666-3-6-6-3-3-333000000000−3i33i30000000000000000002-20000-1-11100000000000−i3i30000
χ586666-3-6-6-3-3-333000000000−3i33i3000000000000000000-22000011-1-100000000000i3−i30000
χ596666-3-6-6-3-3-3330000000003i3−3i30000000000000000002-20000-1-11100000000000i3−i30000
χ606666-3-6-6-3-3-3330000000003i3−3i3000000000000000000-22000011-1-100000000000−i3i30000
χ6188-8-88008-8-800-4-4-44-444400022-2-200000000000000000000000000000000000000000
χ628-88-8800-88-800-4-44-44-4440002-22-200000000000000000000000000000000000000000
χ631212-12-12-600-66600000000000000000000000000000000000000023−2300000000000000000
χ641212-12-12-600-666000000000000000000000000000000000000000−232300000000000000000
χ6512-1212-12-6006-66000000000000000000000000000000000000023−230000000000000000000
χ6612-1212-12-6006-660000000000000000000000000000000000000−23230000000000000000000
χ6712-12-1212-612-1266-6-6600000000000000000000000000000000000000000000000000000000
χ6812-12-1212-6-121266-66-600000000000000000000000000000000000000000000000000000000

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