Finite Group Databasebeta

← Group #13137906

Character table — Group #13137906

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222224466666666888121212121212121224242424242424242424363636363636363636363636363636363636727272727272727272
order12223446661212336666664121236661212121212121212121212121212448888121212122424242424242424444121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ311111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1
χ511111111111111111111-1-1-111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111111-1-1
χ711111111111111111111-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11111
χ811111111111111111111-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1-111
χ92222222222222-12-12-12-1222-1-1-1-12-1-1222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000200000-1-1
χ102222222222222-12-12-12-1222-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-2-200001111000000000-20000011
χ112222222222222-12-12-12-1-2-2-2-1-1-1-12-1-12-2-211-1-11111220000-1-1-1-1000000000-20000011
χ122222222222222-12-12-12-1-2-2-2-1-1-1-12-1-12-2-211-1-11111-2-200001111000000000200000-1-1
χ13222222222222-12-12-12-12222-1-1-1-1-122-1-1-122-1-1-1-1-1-100002200000000-1-1-1-120000-1-100
χ14222222222222-12-12-12-12222-1-1-1-1-122-1-1-122-1-1-1-1-1-10000-2-2000000001111-200001100
χ15222222222222-12-12-12-12-2-2-2-1-1-1-1-122-111-2-2-1-1111100002200000000-1-1-1-1-200001100
χ16222222222222-12-12-12-12-2-2-2-1-1-1-1-122-111-2-2-1-111110000-2-200000000111120000-1-100
χ1722222-2-2222-2-2222222220002222-2-2-2-20000-2-200002-2000022-2-200000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-20000-2-20000-220000-2-22200000000000000000
χ1922222-2-2222-2-22-12-12-12-1000-1-1-1-1-211-200−i3i311−i3−i3i3i32-20000-1-111000000000000000−i3i3
χ2022222-2-2222-2-22-12-12-12-1000-1-1-1-1-211-200−i3i311−i3−i3i3i3-22000011-1-1000000000000000i3−i3
χ2122222-2-2222-2-22-12-12-12-1000-1-1-1-1-211-200i3−i311i3i3−i3−i32-20000-1-111000000000000000i3−i3
χ2222222-2-2222-2-22-12-12-12-1000-1-1-1-1-211-200i3−i311i3i3−i3−i3-22000011-1-1000000000000000−i3i3
χ2322-2-222-2-22-22-22222-2-2-2-20002-22-2-22-2200002-2000000002-20000000022-2-2000000000
χ2422-2-222-2-22-22-22222-2-2-2-20002-22-2-22-2200002-200000000-2200000000-2-222000000000
χ2522-2-222-2-22-22-2-12-121-21-2000-11-1112-2-13−300-113−33−300002-200000000-1-111000003−300
χ2622-2-222-2-22-22-2-12-121-21-2000-11-1112-2-13−300-113−33−30000-220000000011-1-100000−3300
χ2722-2-222-2-22-22-2-12-121-21-2000-11-1112-2-1−3300-11−33−3300002-200000000-1-11100000−3300
χ2822-2-222-2-22-22-2-12-121-21-2000-11-1112-2-1−3300-11−33−330000-220000000011-1-1000003−300
χ2922-2-22-22-22-2-222222-2-2-2-20002-22-22-22-20000-220000002-200000022-2-20000000000000
χ3022-2-22-22-22-2-222222-2-2-2-20002-22-22-22-20000-22000000-22000000-2-2220000000000000
χ31444444444444-2-2-2-2-2-2-2-24441111-2-2-2-2-2-2-2-2111111000000000000000000000000000
χ32444444444444-2-2-2-2-2-2-2-2-4-4-41111-2-2-2-2222211-1-1-1-1000000000000000000000000000
χ3344444-4-4444-4-4-24-24-24-24000-2-2-2-22-4-420000220000000000000000000000000000000
χ3444444-4-4444-4-4-2-2-2-2-2-2-2-20001111222200−2i32i3-1-1i3i3−i3−i3000000000000000000000000000
χ3544444-4-4444-4-4-2-2-2-2-2-2-2-200011112222002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000
χ3644-4-444-4-44-44-44-24-2-42-42000-22-22-4-2240000-220000000000000000000000000000000
χ3744-4-444-4-44-44-4-2-2-2-222220001-11-12-22-223−23001-1−33−33000000000000000000000000000
χ3844-4-444-4-44-44-4-2-2-2-222220001-11-12-22-2−2323001-13−33−3000000000000000000000000000
χ3944-4-44-44-44-4-444-24-2-42-42000-22-2242-2-400002-20000000000000000000000000000000
χ4044-4-44-44-44-4-44-24-242-42-4000-22-22-2-44200002-20000000000000000000000000000000
χ4144-4-44-44-44-4-44-2-2-2-222220001-11-1-22-220000-113i−3i−3i3i000000000000000000000000000
χ4244-4-44-44-44-4-44-2-2-2-222220001-11-1-22-220000-11−3i3i3i−3i000000000000000000000000000
χ434-44-44004-4-40044-4-4-444-400044-4-400000000000000000000000000000000000000000
χ444-44-44004-4-4004-2-42-4-242000-2-22200000000000000000000−2i32i30000000000000000000
χ454-44-44004-4-4004-2-42-4-242000-2-222000000000000000000002i3−2i30000000000000000000
χ464-44-44004-4-400-242-424-2-4000-2-22200000000000000000000000000006−66−6000000000
χ474-44-44004-4-400-242-424-2-4000-2-2220000000000000000000000000000−66−66000000000
χ484-4-44400-4-440044-4-44-4-440004-4-4400000000000000000000000000000000000000000
χ494-4-44400-4-44004-2-4242-4-2000-222-20000000000000000000000−2i32i300000000000000000
χ504-4-44400-4-44004-2-4242-4-2000-222-200000000000000000000002i3−2i300000000000000000
χ514-4-44400-4-4400-242-4-2-424000-222-200000000000000000000000000006−6−66000000000
χ524-4-44400-4-4400-242-4-2-424000-222-20000000000000000000000000000−666−6000000000
χ536666-366-3-3-3-3-3000000006-3-30000000000000000000022000000-1-1-1-10000002-1-10000
χ546666-366-3-3-3-3-3000000006-3-300000000000000000000-2-20000001111000000-2110000
χ556666-366-3-3-3-3-300000000-6330000000000000000000022000000-1-1-1-1000000-2110000
χ566666-366-3-3-3-3-300000000-63300000000000000000000-2-200000011110000002-1-10000
χ5766-6-6-3-663-333-300000000033−33000000000000000000002-2000000-1-11100000003−30000
χ5866-6-6-3-663-333-300000000033−3300000000000000000000-2200000011-1-10000000−330000
χ5966-6-6-3-663-333-3000000000−3333000000000000000000002-2000000-1-1110000000−330000
χ6066-6-6-3-663-333-3000000000−333300000000000000000000-2200000011-1-100000003−30000
χ618-88-88008-8-800-4-4444-4-4400022-2-200000000000000000000000000000000000000000
χ628-8-88800-8-8800-4-444-444-40002-2-2200000000000000000000000000000000000000000
χ6312121212-6-12-12-6-6-66600000000000000000000000000000000000000000000000000000000
χ641212-12-12-612-126-66-6600000000000000000000000000000000000000000000000000000000
χ6512-1212-12-600-66600000000000000000000000000000000000000000i6−i6i6−i60000000000000
χ6612-1212-12-600-66600000000000000000000000000000000000000000−i6i6−i6i60000000000000
χ6712-12-1212-60066-600000000000000000000000000000000000000000i6−i6−i6i60000000000000
χ6812-12-1212-60066-600000000000000000000000000000000000000000−i6i6i6−i60000000000000

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