Finite Group Databasebeta

← Group #13148710

Character table — Group #13148710

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order1222344666241212336666666122222366666121212121212222244444466666661212121212244444666666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-11-11-111-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-111111-1-111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-111111-1-111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-11-1111-1-11111-1-111-1-1-1-111
χ81111111111-1-11111111111-1-1-1-1-1-11-1-111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-11-1-1-11111-1-1-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1-11-11
χ1011111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1111-11-1
χ1111111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-1-1-11-111-111-1-1-1-1-1-1111111-111-1
χ1211111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-11-1-111-1-1111111-1-11-1-11
χ1311111-1-1111-11-1-111111111-1111111-1-1111-1-111-1-11111-1-1-1-1-1-11111-1-1-11-1-111-1111-1-11111-1-1-1-1-1-111-1-11-11-1
χ1411111-1-1111-11-1-111111111-1111111-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1-11-1-111-11-1-111-1-1-1-1-1-111-1-11111-11-11
χ1511111-1-1111-11-1-111111111-11-1-1-1-11-1-1111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1111-11-1-1111-1-111-1-111-1-1111-1-11
χ1611111-1-1111-11-1-111111111-11-1-1-1-11-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-111111111-1-1-1-1-111-1
χ17222222222222222-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1220000220000-1-1-1-12-1-12-1-1-1-12200000000-1-100-1-1-1-1000000
χ18222222222222222-1-122-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-1220000-2-2000011112-1-12-1-1-1-1-2-20000000011001111000000
χ1922222222222222-122-1-122-1220000-122-1-1-12222-1-100220000220000-1-1-1-1-1-1-1-100020200-1-100000000-1-100-1-1
χ2022222222222222-122-1-122-1220000-122-1-1-12222-1-100-2-20000-2-20000-1-1-1-1-1-1-1-1000-20-2001100000000110011
χ212222222222-2-2222-1-122-1-12-2-22222-111-1-1-1-1-111220000220000-1-1-1-1-211-2-1-111-2-2000000001100-1-111000000
χ222222222222-2-2222-1-122-1-12-2-2-2-2-2-2-111-1-1-1-1-111220000-2-200001111-211-2-1-1112200000000-1-10011-1-1000000
χ232222222222-2-222-122-1-122-1-2-20000-1-2-2-1-1-122-2-2-1-1002200002200001111-1-111000-20-200-1-100000000-1-10011
χ242222222222-2-222-122-1-122-1-2-20000-1-2-2-1-1-122-2-2-1-100-2-20000-2-200001111-1-1110002020011000000001100-1-1
χ2522222-2-22222-2-2-22-1-122-1-122-22222-1-1-1-1-1-11111-2-20000-2-20000-1-1-1-12-1-1-211112-200000000-1-1001111000000
χ2622222-2-22222-2-2-22-1-122-1-122-2-2-2-2-2-1-1-1-1-1-11111-2-2000022000011112-1-1-21111-22000000001100-1-1-1-1000000
χ2722222-2-22222-2-2-2-122-1-122-12-20000-122-1-1-1-2-2-2-21100220000-2-20000-1-1-111111000-20200-1-10000000011001-1
χ2822222-2-22222-2-2-2-122-1-122-12-20000-122-1-1-1-2-2-2-21100-2-20000220000-1-1-11111100020-2001100000000-1-100-11
χ2922222-2-2222-22-2-22-1-122-1-12-222222-111-1-1-111-1-1-2-20000-2-20000-1-1-1-1-211211-1-1-2200000000110011-1-1000000
χ3022222-2-2222-22-2-22-1-122-1-12-22-2-2-2-2-111-1-1-111-1-1-2-200002200001111-211211-1-12-200000000-1-100-1-111000000
χ3122222-2-2222-22-2-2-122-1-122-1-220000-1-2-2-1-1-1-2-2221100220000-2-20000111-111-1-100020-200-1-1000000001100-11
χ3222222-2-2222-22-2-2-122-1-122-1-220000-1-2-2-1-1-1-2-2221100-2-20000220000111-111-1-1000-202001100000000-1-1001-1
χ3322-2-22002-2-2000022-22-22-2-20022-2-2200-22-20000000000002i−2i2i−2i22-2-2000000000000000000002i−2i00002i−2i0000
χ3422-2-22002-2-2000022-22-22-2-20022-2-2200-22-2000000000000−2i2i−2i2i22-2-200000000000000000000−2i2i0000−2i2i0000
χ3522-2-22002-2-2000022-22-22-2-200-2-222200-22-20000000000002i−2i−2i2i-2-222000000000000000000002i−2i0000−2i2i0000
χ3622-2-22002-2-2000022-22-22-2-200-2-222200-22-2000000000000−2i2i2i−2i-2-22200000000000000000000−2i2i00002i−2i0000
χ372-22-222i−2i-22-2002i−2i222-22-2-2-2002-22-22002-2-22i−2i002i−2i00002i−2i00002-22-200002i−2i00000000000000002i−2i00000000
χ382-22-222i−2i-22-2002i−2i222-22-2-2-200-22-222002-2-22i−2i002i−2i0000−2i2i0000-22-2200002i−2i0000000000000000−2i2i00000000
χ392-22-222i−2i-22-2002i−2i2-1-1-2211-2002-22-2-1−i3i3-111−ii3−32i−2i00002i−2i0000-11-110−i3i30−ii3−30000000000−i3i300−ii3−3000000
χ402-22-222i−2i-22-2002i−2i2-1-1-2211-2002-22-2-1i3−i3-111−ii−332i−2i00002i−2i0000-11-110i3−i30−ii−330000000000i3−i300−ii−33000000
χ412-22-222i−2i-22-2002i−2i2-1-1-2211-200-22-22-1−i3i3-111−ii3−32i−2i0000−2i2i00001-11-10−i3i30−ii3−30000000000i3−i300i−i−33000000
χ422-22-222i−2i-22-2002i−2i2-1-1-2211-200-22-22-1i3−i3-111−ii−332i−2i0000−2i2i00001-11-10i3−i30−ii−330000000000−i3i300i−i3−3000000
χ432-22-22−2i2i-22-200−2i2i222-22-2-2-2002-22-22002-2-2−2i2i00−2i2i0000−2i2i00002-22-20000−2i2i0000000000000000−2i2i00000000
χ442-22-22−2i2i-22-200−2i2i222-22-2-2-200-22-222002-2-2−2i2i00−2i2i00002i−2i0000-22-220000−2i2i00000000000000002i−2i00000000
χ452-22-22−2i2i-22-200−2i2i2-1-1-2211-2002-22-2-1−i3i3-111i−i−33−2i2i0000−2i2i0000-11-110−i3i30i−i−330000000000−i3i300i−i−33000000
χ462-22-22−2i2i-22-200−2i2i2-1-1-2211-2002-22-2-1i3−i3-111i−i3−3−2i2i0000−2i2i0000-11-110i3−i30i−i3−30000000000i3−i300i−i3−3000000
χ472-22-22−2i2i-22-200−2i2i2-1-1-2211-200-22-22-1−i3i3-111i−i−33−2i2i00002i−2i00001-11-10−i3i30i−i−330000000000i3−i300−ii3−3000000
χ482-22-22−2i2i-22-200−2i2i2-1-1-2211-200-22-22-1i3−i3-111i−i3−3−2i2i00002i−2i00001-11-10i3−i30i−i3−30000000000−i3i300−ii−33000000
χ492-2-22200-2-22000022-2-2-2-222002-2-22200-2-220000002-22-20000002-2-22000000000000002-22-200000000000000
χ502-2-22200-2-22000022-2-2-2-222002-2-22200-2-22000000-22-220000002-2-2200000000000000-22-2200000000000000
χ512-2-22200-2-22000022-2-2-2-22200-222-2200-2-220000002-2-22000000-222-2000000000000002-2-2200000000000000
χ522-2-22200-2-22000022-2-2-2-22200-222-2200-2-22000000-222-2000000-222-200000000000000-222-200000000000000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2111-2-2-2-2-2-200000000000000-211-21111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-40000122111-2-222-2-2000000000000002-1-1211-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001-2-211122222200000000000000-2112-1-1-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-44000012211122-2-222000000000000002-1-1-2-1-111000000000000000000000000
χ5744-4-44004-4-400004-224-4-22-40044-4-4-2002-220000000000000000-2-22200000000000000000000000000000000
χ5844-4-44004-4-400004-224-4-22-400-4-444-2002-22000000000000000022-2-200000000000000000000000000000000
χ5944-4-44004-4-40000-24-4-224-42000000-2002-22000000000000004i−4i000000000000000000000000000000−2i2i0000
χ6044-4-44004-4-40000-24-4-224-42000000-2002-2200000000000000−4i4i0000000000000000000000000000002i−2i0000
χ614-44-444i−4i-44-4004i−4i-2442-2-4-42000000-200-2224i−4i00−2i2i000000000000000000−2i2i00000000000000000000000000
χ624-44-444i−4i-44-4004i−4i-2-2-22-22220000001−2i32i31-1-1−2i2i23−23−2i2i000000000000000i3−i30i−i−33000000000000000000000000
χ634-44-444i−4i-44-4004i−4i-2-2-22-222200000012i3−2i31-1-1−2i2i−2323−2i2i000000000000000−i3i30i−i3−3000000000000000000000000
χ644-44-44−4i4i-44-400−4i4i-2442-2-4-42000000-200-222−4i4i002i−2i0000000000000000002i−2i00000000000000000000000000
χ654-44-44−4i4i-44-400−4i4i-2-2-22-22220000001−2i32i31-1-12i−2i−23232i−2i000000000000000i3−i30−ii3−3000000000000000000000000
χ664-44-44−4i4i-44-400−4i4i-2-2-22-222200000012i3−2i31-1-12i−2i23−232i−2i000000000000000−i3i30−ii−33000000000000000000000000
χ674-4-44400-4-4400004-22-4-42-24004-4-44-20022-20000000000000000-222-200000000000000000000000000000000
χ684-4-44400-4-4400004-22-4-42-2400-444-4-20022-200000000000000002-2-2200000000000000000000000000000000
χ694-4-44400-4-440000-24-422-44-2000000-20022-2000000004-400000000000000000000000000-2200000000000000
χ704-4-44400-4-440000-24-422-44-2000000-20022-200000000-44000000000000000000000000002-200000000000000
χ716666-366-3-3-366-3-300000000-3-300000000000000002200002200000000000000002020-1-10000-1-1000000-1-100
χ726666-366-3-3-366-3-300000000-3-30000000000000000-2-20000-2-20000000000000000-20-20110000110000001100
χ736666-366-3-3-3-6-6-3-300000000330000000000000000220000220000000000000000-20-20-1-10000-1-10000001100
χ746666-366-3-3-3-6-6-3-300000000330000000000000000-2-20000-2-20000000000000000202011000011000000-1-100
χ756666-3-6-6-3-3-36-63300000000-330000000000000000220000-2-20000000000000000-2020-1-10000110000001-100
χ766666-3-6-6-3-3-36-63300000000-330000000000000000-2-2000022000000000000000020-20110000-1-1000000-1100
χ776666-3-6-6-3-3-3-6633000000003-30000000000000000220000-2-2000000000000000020-20-1-1000011000000-1100
χ786666-3-6-6-3-3-3-6633000000003-30000000000000000-2-20000220000000000000000-2020110000-1-10000001-100
χ7988-8-88008-8-80000-4-44-44-444000000200-22-20000000000000000000000000000000000000000000000000000
χ808-8-88800-8-880000-4-44444-4-4000000200-2-220000000000000000000000000000000000000000000000000000
χ811212-12-12-600-6660000000000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000000000
χ821212-12-12-600-666000000000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000000000
χ8312-1212-12-612i−12i6-6600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6−12i12i6-66006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-60066-60000000000000000000000000000004-400000000000000000000000000-220000000000000000
χ8612-12-1212-60066-6000000000000000000000000000000-44000000000000000000000000002-20000000000000000

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