Finite Group Databasebeta

← Group #13149486

Character table — Group #13149486

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order122234466644121233666666121244443666121212121212121222444444441212121212121212121212122244446666121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-111111-1-11
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1
χ51111111111-1-11111111111-1-111111111-1-11111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1
χ61111111111-1-11111111111-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-111-1-1-1-1111111-111-1
χ81111111111-1-11111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-11-1-11
χ911111-1-11111-1-1-1111111111-111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-1-1-111111-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111-1-11111-1-1-1111111111-111111111-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1111-1-11-11-1-111-1-111-1-1-1-111-1-111
χ1111111-1-11111-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-111-11-111-111-1-1-1-1111111-1-11-11-1
χ1211111-1-11111-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-11-11111-1-111-1-111-1-111-11-11
χ1311111-1-1111-11-1-111111111-111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1111-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111
χ1411111-1-1111-11-1-111111111-111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-1-1-1-111-11-1-1-1-1-1-1-11111-1-11111-1-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-111111-1-111-1-111-1-1-11-11
χ1611111-1-1111-11-1-111111111-11-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-11-1-1111111-1-1-1-1-1-1111-11-1
χ17222222222222222-1-12-12-12222222-1-1-1-1-1-122-1-1-1-12200000000-1-1-1-122-1-1-1-1-1-1200020-1-1-1-10000-1-100000000
χ18222222222222222-1-12-12-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-200000000111122-1-1-1-1-1-1-2000-20111100001100000000
χ1922222222222222-122-12-12-1220000-1-1-1-122-1-1222200220022000000-1-1-1-1-1-1-1-10200020000000000-1-1-1-1-100-1
χ2022222222222222-122-12-12-1220000-1-1-1-122-1-1222200-2-200-2-2000000-1-1-1-1-1-1-1-10-2000-2000000000011111001
χ212222222222-2-2222-1-12-12-12-2-22222-1-1-1-11122-1-1112200000000-1-1-1-1-2-211-1-111-2000-20-1-11100001100000000
χ222222222222-2-2222-1-12-12-12-2-2-2-2-2-2-1-1-1-11122-1-111-2-2000000001111-2-211-1-11120002011-1-10000-1-100000000
χ232222222222-2-222-122-12-12-1-2-20000-1-1-1-1-2-2-1-122-2-2002200220000001111-1-1110-2000-20000000000-1-1-1-11001
χ242222222222-2-222-122-12-12-1-2-20000-1-1-1-1-2-2-1-122-2-200-2-200-2-20000001111-1-11102000200000000001111-100-1
χ2522222-2-22222-2-2-22-1-12-12-122-22222-1-1-1-111-2-211-1-1-2-200000000-1-1-1-12-21111-1-12000-2011-1-100001100000000
χ2622222-2-22222-2-2-22-1-12-12-122-2-2-2-2-2-1-1-1-111-2-211-1-1220000000011112-21111-1-1-200020-1-1110000-1-100000000
χ2722222-2-22222-2-2-2-122-12-12-12-20000-1-1-1-1-2-211-2-222002200-2-2000000-111111-1-102000-20000000000-1-111-1001
χ2822222-2-22222-2-2-2-122-12-12-12-20000-1-1-1-1-2-211-2-22200-2-20022000000-111111-1-10-20002000000000011-1-1100-1
χ2922222-2-2222-22-2-22-1-12-12-12-222222-1-1-1-1-1-1-2-21111-2-200000000-1-1-1-1-22-1-11111-20002011110000-1-100000000
χ3022222-2-2222-22-2-22-1-12-12-12-22-2-2-2-2-1-1-1-1-1-1-2-2111122000000001111-22-1-111112000-20-1-1-1-100001100000000
χ3122222-2-2222-22-2-2-122-12-12-1-220000-1-1-1-12211-2-2-2-2002200-2-20000001-1-1-111110-200020000000000-1-111100-1
χ3222222-2-2222-22-2-2-122-12-12-1-220000-1-1-1-12211-2-2-2-200-2-200220000001-1-1-1111102000-2000000000011-1-1-1001
χ3322-2-2200-22-2000022-22-2-22-20022-2-22-2-220000000000002i−2i2i−2i0022-2-2000000000000000000002i−2i00002i−2i0000
χ3422-2-2200-22-2000022-22-2-22-20022-2-22-2-22000000000000−2i2i−2i2i0022-2-200000000000000000000−2i2i0000−2i2i0000
χ3522-2-2200-22-2000022-22-2-22-200-2-2222-2-220000000000002i−2i−2i2i00-2-222000000000000000000002i−2i0000−2i2i0000
χ3622-2-2200-22-2000022-22-2-22-200-2-2222-2-22000000000000−2i2i2i−2i00-2-22200000000000000000000−2i2i00002i−2i0000
χ372-22-222i−2i-2-22002i−2i222-2-22-2-2002i−2i2i−2i2-22-2002i−2i2i−2i002-2000000002i−2i2i−2i00002i−2i000000002-20000000000000000
χ382-22-222i−2i-2-22002i−2i222-2-22-2-200−2i2i−2i2i2-22-2002i−2i2i−2i00-2200000000−2i2i−2i2i00002i−2i00000000-220000000000000000
χ392-22-222i−2i-2-22002i−2i2-1-1-2121-2002i−2i2i−2i-11-11−i3i32i−2i−ii3−32-200000000−ii−ii00−i3i3−ii3−3000000-11−i3i300003−300000000
χ402-22-222i−2i-2-22002i−2i2-1-1-2121-2002i−2i2i−2i-11-11i3−i32i−2i−ii−332-200000000−ii−ii00i3−i3−ii−33000000-11i3−i30000−3300000000
χ412-22-222i−2i-2-22002i−2i2-1-1-2121-200−2i2i−2i2i-11-11−i3i32i−2i−ii3−3-2200000000i−ii−i00−i3i3−ii3−30000001-1i3−i30000−3300000000
χ422-22-222i−2i-2-22002i−2i2-1-1-2121-200−2i2i−2i2i-11-11i3−i32i−2i−ii−33-2200000000i−ii−i00i3−i3−ii−330000001-1−i3i300003−300000000
χ432-22-22−2i2i-2-2200−2i2i222-2-22-2-2002i−2i2i−2i2-22-200−2i2i−2i2i00-22000000002i−2i2i−2i0000−2i2i00000000-220000000000000000
χ442-22-22−2i2i-2-2200−2i2i222-2-22-2-200−2i2i−2i2i2-22-200−2i2i−2i2i002-200000000−2i2i−2i2i0000−2i2i000000002-20000000000000000
χ452-22-22−2i2i-2-2200−2i2i2-1-1-2121-2002i−2i2i−2i-11-11−i3i3−2i2ii−i−33-2200000000−ii−ii00−i3i3i−i−330000001-1i3−i300003−300000000
χ462-22-22−2i2i-2-2200−2i2i2-1-1-2121-2002i−2i2i−2i-11-11i3−i3−2i2ii−i3−3-2200000000−ii−ii00i3−i3i−i3−30000001-1−i3i30000−3300000000
χ472-22-22−2i2i-2-2200−2i2i2-1-1-2121-200−2i2i−2i2i-11-11−i3i3−2i2ii−i−332-200000000i−ii−i00−i3i3i−i−33000000-11−i3i30000−3300000000
χ482-22-22−2i2i-2-2200−2i2i2-1-1-2121-200−2i2i−2i2i-11-11i3−i3−2i2ii−i3−32-200000000i−ii−i00i3−i3i−i3−3000000-11i3−i300003−300000000
χ492-2-222002-2-2000022-2-22-2-22002i−2i−2i2i22-2-200000000002i−2i00002-22i−2i−2i2i0000000000000000002-200002i−2i000000
χ502-2-222002-2-2000022-2-22-2-22002i−2i−2i2i22-2-20000000000−2i2i0000-222i−2i−2i2i000000000000000000-220000−2i2i000000
χ512-2-222002-2-2000022-2-22-2-2200−2i2i2i−2i22-2-200000000002i−2i0000-22−2i2i2i−2i000000000000000000-2200002i−2i000000
χ522-2-222002-2-2000022-2-22-2-2200−2i2i2i−2i22-2-20000000000−2i2i00002-2−2i2i2i−2i0000000000000000002-20000−2i2i000000
χ5344444444444444-2-2-2-2-2-2-2-24400001111-2-2-2-2-2-2-2-200000000000000-2-2111111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-40000111122-2-2-2-2220000000000000022-1-111-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001111222222-2-200000000000000-22-1-1-1-111000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-4400001111-2-2222222000000000000002-211-1-1-1-1000000000000000000000000
χ5744-4-4400-44-400004-2242-4-2-40044-4-4-222-2000000000000000000-2-22200000000000000000000000000000000
χ5844-4-4400-44-400004-2242-4-2-400-4-444-222-200000000000000000022-2-200000000000000000000000000000000
χ5944-4-4400-44-40000-24-4-2-4242000000-222-2000000000000004i−4i00000000000000000000000000000000−2i2i0000
χ6044-4-4400-44-40000-24-4-2-4242000000-222-200000000000000−4i4i000000000000000000000000000000002i−2i0000
χ614-44-444i−4i-4-44004i−4i-2442-4-2-42000000-22-2200−2i2i4i−4i00000000000000000000−2i2i00000000000000000000000000
χ624-44-444i−4i-4-44004i−4i-2-2-222-2220000001-11-1−2i32i3−2i2i−2i2i23−230000000000000000i3−i3i−i−33000000000000000000000000
χ634-44-444i−4i-4-44004i−4i-2-2-222-2220000001-11-12i3−2i3−2i2i−2i2i−23230000000000000000−i3i3i−i3−3000000000000000000000000
χ644-44-44−4i4i-4-4400−4i4i-2442-4-2-42000000-22-22002i−2i−4i4i000000000000000000002i−2i00000000000000000000000000
χ654-44-44−4i4i-4-4400−4i4i-2-2-222-2220000001-11-1−2i32i32i−2i2i−2i−23230000000000000000i3−i3−ii3−3000000000000000000000000
χ664-44-44−4i4i-4-4400−4i4i-2-2-222-2220000001-11-12i3−2i32i−2i2i−2i23−230000000000000000−i3i3−ii−33000000000000000000000000
χ674-4-444004-4-400004-22-4-2-424004i−4i−4i4i-2-222000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ684-4-444004-4-400004-22-4-2-42400−4i4i4i−4i-2-2220000000000000000002i−2i−2i2i00000000000000000000000000000000
χ694-4-444004-4-40000-24-4242-4-2000000-2-22200000000004i−4i0000000000000000000000000000000000−2i2i000000
χ704-4-444004-4-40000-24-4242-4-2000000-2-2220000000000−4i4i00000000000000000000000000000000002i−2i000000
χ716666-366-3-3-366-3-300000000-3-3000000000000000000002200220000000000000022000000-1-1-1-10000000-1-10
χ726666-366-3-3-366-3-300000000-3-300000000000000000000-2-200-2-200000000000000-2-200000011110000000110
χ736666-366-3-3-3-6-6-3-300000000330000000000000000000022002200000000000000-2-2000000-1-1-1-10000000110
χ746666-366-3-3-3-6-6-3-3000000003300000000000000000000-2-200-2-2000000000000002200000011110000000-1-10
χ756666-3-6-6-3-3-36-63300000000-33000000000000000000002200-2-200000000000000-2200000011-1-100000001-10
χ766666-3-6-6-3-3-36-63300000000-3300000000000000000000-2-20022000000000000002-2000000-1-1110000000-110
χ776666-3-6-6-3-3-3-6633000000003-3000000000000000000002200-2-2000000000000002-200000011-1-10000000-110
χ786666-3-6-6-3-3-3-6633000000003-300000000000000000000-2-2002200000000000000-22000000-1-11100000001-10
χ7988-8-8800-88-80000-4-44-444-440000002-2-22000000000000000000000000000000000000000000000000000000
χ808-8-888008-8-80000-4-444-444-400000022-2-2000000000000000000000000000000000000000000000000000000
χ811212-12-12-6006-6600000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000000000
χ821212-12-12-6006-660000000000000000000000000000000000−4i4i00000000000000000000000000002i−2i0000000000
χ8312-1212-12-612i−12i66-600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6−12i12i66-6006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-600-666000000000000000000000000000000000000004-40000000000000000000000-22000000000000
χ8612-12-1212-600-66600000000000000000000000000000000000000-4400000000000000000000002-2000000000000

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