Finite Group Databasebeta

← Group #13148492

Character table — Group #13148492

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order1222344666241212336666666124444366666121212121212222222444412121212666121212121224444466666612121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11-11-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-11-11-1-1-1-111-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-111111-1-1111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ61111111111-1-11111111111-1-111111-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-11-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11-1-1111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ81111111111-1-11111111111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-1-111-1-111111111-1-1
χ911111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11-111-111-1-1-1-1-1-1-1-11111-111-1
χ1011111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-11-1-1-111-1-1-1-11111-1-111-1-11-1-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-11111111-1-111-1-1-1-1-11-11
χ1211111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111-1-11111-1-1111-11-1
χ1311111-1-1111-11-1-111111111-1111111-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-1111-11-1-1111-1-1-1-1-1-111-1-1111-1-11
χ1411111-1-1111-11-1-111111111-1111111-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-1-111-1111-1-1-1-1-1-1111111-1-1-1-1-111-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1111111-1-1-1-111-1-11-11-1
χ1611111-1-1111-11-1-111111111-11-1-1-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-11-1-111-1-111-1-111-1-11111-11-11
χ17222222222222222-12-12-12-1220000-122-1-1-12222-1-100002200220000-1-1-1-1-1-1-1-10002020000-1-1000000-1-100-1-1
χ18222222222222222-12-12-12-1220000-122-1-1-12222-1-10000-2-200-2-20000-1-1-1-1-1-1-1-1000-20-2000011000000110011
χ1922222222222222-12-12-12-12222222-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-12-1-12-1-1-1-100202000-1-10000-1-1-1-1000000
χ2022222222222222-12-12-12-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-122-2-20000000011112-1-12-1-1-1-100-20-20001100001111000000
χ212222222222-2-2222-12-12-12-1-2-20000-1-2-2-1-1-1-2-222-1-1000022002200001111-1-111000-20-20000-1-1000000-1-10011
χ222222222222-2-2222-12-12-12-1-2-20000-1-2-2-1-1-1-2-222-1-10000-2-200-2-200001111-1-1110002020000110000001100-1-1
χ232222222222-2-222-12-12-12-12-2-22222-111-1-1-111-1-1222200000000-1-1-1-1-211-2-1-11100-20-2000-1-100001111000000
χ242222222222-2-222-12-12-12-12-2-2-2-2-2-2-111-1-1-111-1-122-2-2000000001111-211-2-1-11100202000110000-1-1-1-1000000
χ2522222-2-22222-2-2-22-12-12-12-12-20000-122-1-1-1-2-2-2-21100002200-2-20000-1-1-111111000-2020000-1-100000011001-1
χ2622222-2-22222-2-2-22-12-12-12-12-20000-122-1-1-1-2-2-2-2110000-2-200220000-1-1-11111100020-2000011000000-1-100-11
χ2722222-2-22222-2-2-2-12-12-12-122-22222-1-1-1-1-1-11111-2-2-2-200000000-1-1-1-12-1-1-2111100-20200011000011-1-1000000
χ2822222-2-22222-2-2-2-12-12-12-122-2-2-2-2-2-1-1-1-1-1-11111-2-2220000000011112-1-1-211110020-2000-1-10000-1-111000000
χ2922222-2-2222-22-2-22-12-12-12-1-220000-1-2-2-1-1-122-2-21100002200-2-20000111-111-1-100020-20000-1-10000001100-11
χ3022222-2-2222-22-2-22-12-12-12-1-220000-1-2-2-1-1-122-2-2110000-2-200220000111-111-1-1000-202000011000000-1-1001-1
χ3122222-2-2222-22-2-2-12-12-12-12-222222-111-1-1-1-1-111-2-2-2-200000000-1-1-1-1-211211-1-10020-2000110000-1-111000000
χ3222222-2-2222-22-2-2-12-12-12-12-22-2-2-2-2-111-1-1-1-1-111-2-222000000001111-211211-1-100-202000-1-1000011-1-1000000
χ3322-2-2200-22-200002222-2-2-2-2002i2i−2i−2i200-22-2000000002-200002i−2i2i2i−2i−2i000000000000002-200000000002i−2i0000
χ3422-2-2200-22-200002222-2-2-2-2002i2i−2i−2i200-22-200000000-220000−2i2i2i2i−2i−2i00000000000000-220000000000−2i2i0000
χ3522-2-2200-22-200002222-2-2-2-200−2i−2i2i2i200-22-2000000002-20000−2i2i−2i−2i2i2i000000000000002-20000000000−2i2i0000
χ3622-2-2200-22-200002222-2-2-2-200−2i−2i2i2i200-22-200000000-2200002i−2i−2i−2i2i2i00000000000000-2200000000002i−2i0000
χ372-22-222i−2i2-2-2002i−2i22-2-222-2-2002i−2i2i−2i2002-2-2002i−2i2i−2i2-2000000002i−2i2i−2i00002i−2i00000000002-200000000000000
χ382-22-222i−2i2-2-2002i−2i22-2-222-2-200−2i2i−2i2i2002-2-2002i−2i2i−2i-2200000000−2i2i−2i2i00002i−2i0000000000-2200000000000000
χ392-22-222i−2i2-2-2002i−2i-121-2-121-2002i−2i2i−2i-1−i3i3-1113−3−ii2i−2i2-200000000−ii−ii0−i3i30−ii3−300000000-110000−i3i33−3000000
χ402-22-222i−2i2-2-2002i−2i-121-2-121-2002i−2i2i−2i-1i3−i3-111−33−ii2i−2i2-200000000−ii−ii0i3−i30−ii−3300000000-110000i3−i3−33000000
χ412-22-222i−2i2-2-2002i−2i-121-2-121-200−2i2i−2i2i-1−i3i3-1113−3−ii2i−2i-2200000000i−ii−i0−i3i30−ii3−3000000001-10000i3−i3−33000000
χ422-22-222i−2i2-2-2002i−2i-121-2-121-200−2i2i−2i2i-1i3−i3-111−33−ii2i−2i-2200000000i−ii−i0i3−i30−ii−33000000001-10000−i3i33−3000000
χ432-22-22−2i2i2-2-200−2i2i22-2-222-2-2002i−2i2i−2i2002-2-200−2i2i−2i2i-22000000002i−2i2i−2i0000−2i2i0000000000-2200000000000000
χ442-22-22−2i2i2-2-200−2i2i22-2-222-2-200−2i2i−2i2i2002-2-200−2i2i−2i2i2-200000000−2i2i−2i2i0000−2i2i00000000002-200000000000000
χ452-22-22−2i2i2-2-200−2i2i-121-2-121-2002i−2i2i−2i-1−i3i3-111−33i−i−2i2i-2200000000−ii−ii0−i3i30i−i−33000000001-10000i3−i33−3000000
χ462-22-22−2i2i2-2-200−2i2i-121-2-121-2002i−2i2i−2i-1i3−i3-1113−3i−i−2i2i-2200000000−ii−ii0i3−i30i−i3−3000000001-10000−i3i3−33000000
χ472-22-22−2i2i2-2-200−2i2i-121-2-121-200−2i2i−2i2i-1−i3i3-111−33i−i−2i2i2-200000000i−ii−i0−i3i30i−i−3300000000-110000−i3i3−33000000
χ482-22-22−2i2i2-2-200−2i2i-121-2-121-200−2i2i−2i2i-1i3−i3-1113−3i−i−2i2i2-200000000i−ii−i0i3−i30i−i3−300000000-110000i3−i33−3000000
χ492-2-22200-2-22000022-2-2-2-222002-2-22200-2-2200000000002-22-2002-2-220000000000000000002-22-20000000000
χ502-2-22200-2-22000022-2-2-2-222002-2-22200-2-220000000000-22-22002-2-22000000000000000000-22-220000000000
χ512-2-22200-2-22000022-2-2-2-22200-222-2200-2-2200000000002-2-2200-222-20000000000000000002-2-220000000000
χ522-2-22200-2-22000022-2-2-2-22200-222-2200-2-220000000000-222-200-222-2000000000000000000-222-20000000000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2111-2-2-2-2-2-200000000000000-211-21111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-4000012211122-2-2-2-2000000000000002-1-1211-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001-2-211122222200000000000000-2112-1-1-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-440000122111-2-22222000000000000002-1-1-2-1-111000000000000000000000000
χ5744-4-4400-44-400004-24-2-42-42000000-2002-22000000000000004i−4i000000000000000000000000000000−2i2i0000
χ5844-4-4400-44-400004-24-2-42-42000000-2002-2200000000000000−4i4i0000000000000000000000000000002i−2i0000
χ5944-4-4400-44-40000-24-242-42-4004i4i−4i−4i-2002-220000000000000000−2i−2i2i2i00000000000000000000000000000000
χ6044-4-4400-44-40000-24-242-42-400−4i−4i4i4i-2002-2200000000000000002i2i−2i−2i00000000000000000000000000000000
χ614-44-444i−4i4-4-4004i−4i4-2-424-2-42000000-200-222004i−4i−2i2i000000000000000000−2i2i00000000000000000000000000
χ624-44-444i−4i4-4-4004i−4i-2-222-2-2220000001−2i32i31-1-123−23−2i2i−2i2i000000000000000i3−i30i−i−33000000000000000000000000
χ634-44-444i−4i4-4-4004i−4i-2-222-2-22200000012i3−2i31-1-1−2323−2i2i−2i2i000000000000000−i3i30i−i3−3000000000000000000000000
χ644-44-44−4i4i4-4-400−4i4i4-2-424-2-42000000-200-22200−4i4i2i−2i0000000000000000002i−2i00000000000000000000000000
χ654-44-44−4i4i4-4-400−4i4i-2-222-2-2220000001−2i32i31-1-1−23232i−2i2i−2i000000000000000i3−i30−ii3−3000000000000000000000000
χ664-44-44−4i4i4-4-400−4i4i-2-222-2-22200000012i3−2i31-1-123−232i−2i2i−2i000000000000000−i3i30−ii−33000000000000000000000000
χ674-4-44400-4-4400004-2-42-424-2000000-20022-200000000004-400000000000000000000000000-22000000000000
χ684-4-44400-4-4400004-2-42-424-2000000-20022-20000000000-44000000000000000000000000002-2000000000000
χ694-4-44400-4-440000-242-42-4-24004-4-44-20022-20000000000000000-222-200000000000000000000000000000000
χ704-4-44400-4-440000-242-42-4-2400-444-4-20022-200000000000000002-2-2200000000000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-300000000000000000022002200000000000000220000-1-10000-1-1000000-1-100
χ726666-366-3-3-366-3-300000000-3-3000000000000000000-2-200-2-200000000000000-2-20000110000110000001100
χ736666-366-3-3-3-6-6-3-3000000003300000000000000000022002200000000000000-2-20000-1-10000-1-10000001100
χ746666-366-3-3-3-6-6-3-30000000033000000000000000000-2-200-2-20000000000000022000011000011000000-1-100
χ756666-3-6-6-3-3-36-63300000000-330000000000000000002200-2-200000000000000-220000-1-10000110000001-100
χ766666-3-6-6-3-3-36-63300000000-33000000000000000000-2-20022000000000000002-20000110000-1-1000000-1100
χ776666-3-6-6-3-3-3-6633000000003-30000000000000000002200-2-2000000000000002-20000-1-1000011000000-1100
χ786666-3-6-6-3-3-3-6633000000003-3000000000000000000-2-2002200000000000000-220000110000-1-10000001-100
χ7988-8-8800-88-80000-4-4-4-44444000000200-22-20000000000000000000000000000000000000000000000000000
χ808-8-88800-8-880000-4-44444-4-4000000200-2-220000000000000000000000000000000000000000000000000000
χ811212-12-12-6006-66000000000000000000000000000000004-4000000000000000000000000-220000000000000000
χ821212-12-12-6006-6600000000000000000000000000000000-440000000000000000000000002-20000000000000000
χ8312-1212-12-612i−12i-66600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6−12i12i-666006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-60066-60000000000000000000000000000000000004-400000000000000000000000000-220000000000
χ8612-12-1212-60066-6000000000000000000000000000000000000-44000000000000000000000000002-20000000000

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