Finite Group Databasebeta

← Group #13149583

Character table — Group #13149583

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122234466644121233666666121244443666121212121212121222444444441212121212121212121212122244446666121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111111-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ51111111111-1-11111111111-1-11111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1111111-1-1-1-111-1-1-1-111
χ81111111111-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1
χ911111-1-11111-1-1-111111111-1111111111-1-111-1-1-1-111-1-111-1-1-1-111111-1-1-1-1-111-11-111-111-1-1-1-1-1-1-1-111111-1-11
χ1011111-1-11111-1-1-111111111-1111111111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-111-1-11-111-1-1-1-11111-1-111-1-1-111-1
χ1111111-1-11111-1-1-111111111-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-11-11-1
χ1211111-1-11111-1-1-111111111-11-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1111-1-11-11-1-11111-1-111-1-111-11-11
χ1311111-1-1111-11-1-1111111111-111111111-1-1-1-111-1-111-1-111-1-1-1-11111-1111-1-1-1-11-11-1-111111-1-1-1-1-1-1-1-111-111-1
χ1411111-1-1111-11-1-1111111111-111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11-1-11
χ1511111-1-1111-11-1-1111111111-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-11-11
χ1611111-1-1111-11-1-1111111111-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-111-11-1-1-1-1-111-1-11111111-11-1
χ17222222222222222-1-12-12-12222222-1-1-1-1-1-1-1-1-1-1220000002200-1-1-1-122-1-1-1-1-1-120002000-1-10000-1-1-1-1000000
χ18222222222222222-1-12-12-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-122000000-2-200111122-1-1-1-1-1-1-2000-20001100001111000000
χ1922222222222222-122-12-12-1220000-1-1-1-1222222-1-100002200220000-1-1-1-1-1-1-1-1002200000000-1-10000-1-100-1-1
χ2022222222222222-122-12-12-1220000-1-1-1-1222222-1-10000-2-200-2-20000-1-1-1-1-1-1-1-100-2-200000000110000110011
χ212222222222-2-2222-1-12-12-12-2-22222-1-1-1-1-1-11111220000002200-1-1-1-1-2-211-1-111-2000-2000110000-1-111000000
χ222222222222-2-2222-1-12-12-12-2-2-2-2-2-2-1-1-1-1-1-1111122000000-2-2001111-2-211-1-11120002000-1-1000011-1-1000000
χ232222222222-2-222-122-12-12-1-2-20000-1-1-1-122-2-2-2-2-1-1000022002200001111-1-11100-2-200000000-1-10000-1-10011
χ242222222222-2-222-122-12-12-1-2-20000-1-1-1-122-2-2-2-2-1-10000-2-200-2-200001111-1-1110022000000001100001100-1-1
χ2522222-2-22222-2-2-22-1-12-12-12-222222-1-1-1-111-1-111-2-2000000-2-200-1-1-1-12-21111-1-1-2000200011000011-1-1000000
χ2622222-2-22222-2-2-22-1-12-12-12-22-2-2-2-2-1-1-1-111-1-111-2-2000000220011112-21111-1-12000-2000-1-10000-1-111000000
χ2722222-2-22222-2-2-2-122-12-12-1-220000-1-1-1-1-2-222-2-21100002200-2-20000-111111-1-100-2200000000110000-1-1001-1
χ2822222-2-22222-2-2-2-122-12-12-1-220000-1-1-1-1-2-222-2-2110000-2-200220000-111111-1-1002-200000000-1-100001100-11
χ2922222-2-2222-22-2-22-1-12-12-122-22222-1-1-1-11111-1-1-2-2000000-2-200-1-1-1-1-22-1-111112000-2000-1-100001111000000
χ3022222-2-2222-22-2-22-1-12-12-122-2-2-2-2-2-1-1-1-11111-1-1-2-200000022001111-22-1-11111-20002000110000-1-1-1-1000000
χ3122222-2-2222-22-2-2-122-12-12-12-20000-1-1-1-1-2-2-2-2221100002200-2-200001-1-1-11111002-200000000110000-1-100-11
χ3222222-2-2222-22-2-2-122-12-12-12-20000-1-1-1-1-2-2-2-222110000-2-2002200001-1-1-1111100-2200000000-1-1000011001-1
χ3322-2-2200-2-220000222-2-22-2-2002i2i−2i−2i2-2-22000000002-2002i−2i00002i2i−2i−2i000000000000002-200000000002i−2i0000
χ3422-2-2200-2-220000222-2-22-2-2002i2i−2i−2i2-2-2200000000-2200−2i2i00002i2i−2i−2i00000000000000-220000000000−2i2i0000
χ3522-2-2200-2-220000222-2-22-2-200−2i−2i2i2i2-2-22000000002-200−2i2i0000−2i−2i2i2i000000000000002-20000000000−2i2i0000
χ3622-2-2200-2-220000222-2-22-2-200−2i−2i2i2i2-2-2200000000-22002i−2i0000−2i−2i2i2i00000000000000-2200000000002i−2i0000
χ372-22-222i−2i2-2-2002i−2i22-2-22-2-22002-22-22-22-22i−2i00002i−2i0000002i−2i002-22-200002i−2i00000000000000002i−2i00000000
χ382-22-222i−2i2-2-2002i−2i22-2-22-2-2200-22-222-22-22i−2i00002i−2i000000−2i2i00-22-2200002i−2i0000000000000000−2i2i00000000
χ392-22-222i−2i2-2-2002i−2i2-11-2-1-212002-22-2-11-11−ii3−3−i3i32i−2i0000002i−2i00-11-1100−i3i3−ii3−300000000−i3i30000−ii3−3000000
χ402-22-222i−2i2-2-2002i−2i2-11-2-1-212002-22-2-11-11−ii−33i3−i32i−2i0000002i−2i00-11-1100i3−i3−ii−3300000000i3−i30000−ii−33000000
χ412-22-222i−2i2-2-2002i−2i2-11-2-1-21200-22-22-11-11−ii3−3−i3i32i−2i000000−2i2i001-11-100−i3i3−ii3−300000000i3−i30000i−i−33000000
χ422-22-222i−2i2-2-2002i−2i2-11-2-1-21200-22-22-11-11−ii−33i3−i32i−2i000000−2i2i001-11-100i3−i3−ii−3300000000−i3i30000i−i3−3000000
χ432-22-22−2i2i2-2-200−2i2i22-2-22-2-22002-22-22-22-2−2i2i0000−2i2i000000−2i2i002-22-20000−2i2i0000000000000000−2i2i00000000
χ442-22-22−2i2i2-2-200−2i2i22-2-22-2-2200-22-222-22-2−2i2i0000−2i2i0000002i−2i00-22-220000−2i2i00000000000000002i−2i00000000
χ452-22-22−2i2i2-2-200−2i2i2-11-2-1-212002-22-2-11-11i−i3−3i3−i3−2i2i000000−2i2i00-11-1100i3−i3i−i3−300000000i3−i30000i−i3−3000000
χ462-22-22−2i2i2-2-200−2i2i2-11-2-1-212002-22-2-11-11i−i−33−i3i3−2i2i000000−2i2i00-11-1100−i3i3i−i−3300000000−i3i30000i−i−33000000
χ472-22-22−2i2i2-2-200−2i2i2-11-2-1-21200-22-22-11-11i−i3−3i3−i3−2i2i0000002i−2i001-11-100i3−i3i−i3−300000000−i3i30000−ii−33000000
χ482-22-22−2i2i2-2-200−2i2i2-11-2-1-21200-22-22-11-11i−i−33−i3i3−2i2i0000002i−2i001-11-100−i3i3i−i−3300000000i3−i30000−ii3−3000000
χ492-2-22200-22-2000022-22-2-22-2002i−2i−2i2i22-2-200000000002i−2i00002-22i−2i−2i2i0000000000000000002i−2i2-20000000000
χ502-2-22200-22-2000022-22-2-22-2002i−2i−2i2i22-2-20000000000−2i2i0000-222i−2i−2i2i000000000000000000−2i2i-220000000000
χ512-2-22200-22-2000022-22-2-22-200−2i2i2i−2i22-2-200000000002i−2i0000-22−2i2i2i−2i0000000000000000002i−2i-220000000000
χ522-2-22200-22-2000022-22-2-22-200−2i2i2i−2i22-2-20000000000−2i2i00002-2−2i2i2i−2i000000000000000000−2i2i2-20000000000
χ5344444444444444-2-2-2-2-2-2-2-24400001111-2-2-2-2-2-2-2-200000000000000-2-2111111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001111-2-22222-2-20000000000000022-1-111-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-2-440000111122-2-2222200000000000000-22-1-1-1-111000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-24-4000011112222-2-222000000000000002-211-1-1-1-1000000000000000000000000
χ5744-4-4400-4-4400004-2-2-4242-4004i4i−4i−4i-222-2000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ5844-4-4400-4-4400004-2-2-4242-400−4i−4i4i4i-222-20000000000000000002i2i−2i−2i00000000000000000000000000000000
χ5944-4-4400-4-440000-2442-4-2-42000000-222-20000000000004i−4i0000000000000000000000000000000000−2i2i0000
χ6044-4-4400-4-440000-2442-4-2-42000000-222-2000000000000−4i4i00000000000000000000000000000000002i−2i0000
χ614-44-444i−4i4-4-4004i−4i-24-4242-4-2000000-22-224i−4i0000−2i2i000000000000000000−2i2i00000000000000000000000000
χ624-44-444i−4i4-4-4004i−4i-2-222-222-20000001-11-1−2i2i23−23−2i32i3−2i2i0000000000000000i3−i3i−i−33000000000000000000000000
χ634-44-444i−4i4-4-4004i−4i-2-222-222-20000001-11-1−2i2i−23232i3−2i3−2i2i0000000000000000−i3i3i−i3−3000000000000000000000000
χ644-44-44−4i4i4-4-400−4i4i-24-4242-4-2000000-22-22−4i4i00002i−2i0000000000000000002i−2i00000000000000000000000000
χ654-44-44−4i4i4-4-400−4i4i-2-222-222-20000001-11-12i−2i23−232i3−2i32i−2i0000000000000000−i3i3−ii−33000000000000000000000000
χ664-44-44−4i4i4-4-400−4i4i-2-222-222-20000001-11-12i−2i−2323−2i32i32i−2i0000000000000000i3−i3−ii3−3000000000000000000000000
χ674-4-44400-44-400004-2242-4-2-4004i−4i−4i4i-2-222000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ684-4-44400-44-400004-2242-4-2-400−4i4i4i−4i-2-2220000000000000000002i−2i−2i2i00000000000000000000000000000000
χ694-4-44400-44-40000-24-4-2-4242000000-2-22200000000000000004-4000000000000000000000000-220000000000
χ704-4-44400-44-40000-24-4-2-4242000000-2-2220000000000000000-440000000000000000000000002-20000000000
χ716666-366-3-3-366-3-300000000-3-300000000000000002222000000000000000000020002-1-100-1-100000000-1-100
χ726666-366-3-3-366-3-300000000-3-30000000000000000-2-2-2-20000000000000000000-2000-2110011000000001100
χ736666-366-3-3-3-6-6-3-30000000033000000000000000022220000000000000000000-2000-2-1-100-1-1000000001100
χ746666-366-3-3-3-6-6-3-300000000330000000000000000-2-2-2-200000000000000000002000211001100000000-1-100
χ756666-3-6-6-3-3-36-633000000003-3000000000000000022-2-200000000000000000002000-2-1-1001100000000-1100
χ766666-3-6-6-3-3-36-633000000003-30000000000000000-2-2220000000000000000000-200021100-1-1000000001-100
χ776666-3-6-6-3-3-3-663300000000-33000000000000000022-2-20000000000000000000-20002-1-10011000000001-100
χ786666-3-6-6-3-3-3-663300000000-330000000000000000-2-22200000000000000000002000-21100-1-100000000-1100
χ7988-8-8800-8-880000-4-4-444-4440000002-2-22000000000000000000000000000000000000000000000000000000
χ808-8-88800-88-80000-4-44-444-4400000022-2-2000000000000000000000000000000000000000000000000000000
χ811212-12-12-60066-60000000000000000000000000000004-400000000000000000000000000-220000000000000000
χ821212-12-12-60066-6000000000000000000000000000000-44000000000000000000000000002-20000000000000000
χ8312-1212-12-612i−12i-66600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6−12i12i-666006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-6006-66000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i000000000000
χ8612-12-1212-6006-6600000000000000000000000000000000−4i4i00000000000000000000000000002i−2i000000000000

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