Finite Group Databasebeta

← Group #13149395

Character table — Group #13149395

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222444466666666881212121212121212121212121818181818181818181818181818242424242424242436363636363636363636363636363636363636363672727272
order12223446664412123366666612123666121212121212121244444444441212121212121212121212124444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-11-1111111-1-111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-11-11-1-111111-1-111-1-111-1-1-1-111
χ81111111111-1-11111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-1-11111-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1111111-1-11111111-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-11-11-1
χ1011111-1-11111-1-1-1111111111-11111-1-1-1-111-1-111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-11111-11-11
χ1111111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1111-11-1-11111-1-1-1-11111-1-1111-1-11
χ1211111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-111-11111-1-1-1-111111111-1-1-1-1-111-1
χ1311111-1-1111-11-1-111111111-111111-1-1-1-1-1-11111111111-1-11111-1111-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-11-11
χ1411111-1-1111-11-1-111111111-111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1111-1-1-1-111-11-11-1-1-111-1-111-1-1-1-1111-11-1
χ1511111-1-1111-11-1-111111111-111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-1-111-111-111-1-1-1-1-1-1111111-111-1
χ1611111-1-1111-11-1-111111111-111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-11-111-1-11-1-11111-1-11111-1-11-1-11
χ17222222222222222-12-12-12-122-1-1-1-122-1-1222200002200000000-1-1-1-1-1-1-1-102000220000-1-1000000-1-100-1-1
χ18222222222222222-12-12-12-122-1-1-1-122-1-122220000-2-200000000-1-1-1-1-1-1-1-10-2000-2-2000011000000110011
χ1922222222222222-12-12-12-1222-1-1-1-1-1-122-1-1-1-12200002222-1-1-1-122-1-1-1-1-1-10020000000000-1-1-1-1-1-1000000
χ2022222222222222-12-12-12-1222-1-1-1-1-1-122-1-1-1-1-2-20000-2-2-2-2111122-1-1-1-1-1-100-20000000000111111000000
χ212222222222-2-2222-12-12-12-1-2-2-1-1-1-122-1-1-2-2-2-2000022000000001111-1-1110-20002-20000-1-1000000-1-10011
χ222222222222-2-2222-12-12-12-1-2-2-1-1-1-122-1-1-2-2-2-20000-2-2000000001111-1-11102000-220000110000001100-1-1
χ232222222222-2-222-12-12-12-12-2-2-1-1-1-1-1-1221111220000-2-2-2-2-1-1-1-1-2-211-1-111002000000000011-1-111000000
χ242222222222-2-222-12-12-12-12-2-2-1-1-1-1-1-1221111-2-2000022221111-2-211-1-11100-20000000000-1-111-1-1000000
χ2522222-2-22222-2-2-22-12-12-12-12-2-1-1-1-1-2-21122-2-200002200000000-111111-1-102000-2-20000-1-10000001100-11
χ2622222-2-22222-2-2-22-12-12-12-12-2-1-1-1-1-2-21122-2-20000-2-200000000-111111-1-10-200022000011000000-1-1001-1
χ2722222-2-22222-2-2-2-12-12-12-122-2-1-1-1-111-2-2-1-111220000-2-222-1-1-1-12-21111-1-100-200000000001111-1-1000000
χ2822222-2-22222-2-2-2-12-12-12-122-2-1-1-1-111-2-2-1-111-2-2000022-2-211112-21111-1-10020000000000-1-1-1-111000000
χ2922222-2-2222-22-2-22-12-12-12-1-22-1-1-1-1-2-211-2-222000022000000001-1-1-111110-2000-220000-1-100000011001-1
χ3022222-2-2222-22-2-22-12-12-12-1-22-1-1-1-1-2-211-2-2220000-2-2000000001-1-1-11111020002-2000011000000-1-100-11
χ3122222-2-2222-22-2-2-12-12-12-12-22-1-1-1-111-2-211-1-122000022-2-2-1-1-1-1-22-1-1111100-20000000000-1-11111000000
χ3222222-2-2222-22-2-2-12-12-12-12-22-1-1-1-111-2-211-1-1-2-20000-2-2221111-22-1-11111002000000000011-1-1-1-1000000
χ3322-2-22002-2-200002222-2-2-2-20022-2-2000000002-22-22-2000022-2-20000000000000002-2002-2000000000000
χ3422-2-22002-2-200002222-2-2-2-20022-2-2000000002-2-22-22000022-2-2000000000000000-2200-22000000000000
χ3522-2-22002-2-200002222-2-2-2-20022-2-200000000-222-2-220000-2-2220000000000000002-200-22000000000000
χ3622-2-22002-2-200002222-2-2-2-20022-2-200000000-22-222-20000-2-222000000000000000-22002-2000000000000
χ372-2-2222i−2i-2-22002i−2i22-2-2-2-222002-22-22i−2i2i−2i00000000002i−2i2-2000000002i−2i0000000000000002i−2i002-2000000
χ382-2-2222i−2i-2-22002i−2i22-2-2-2-222002-22-22i−2i2i−2i0000000000−2i2i-22000000002i−2i000000000000000−2i2i00-22000000
χ392-2-2222i−2i-2-22002i−2i-121-21-2-1200-11-11−ii2i−2i3−3−i3i30000002i−2i2-23−33−300−i3i3−ii3−30000000000000−ii−i3i3-11000000
χ402-2-2222i−2i-2-22002i−2i-121-21-2-1200-11-11−ii2i−2i3−3−i3i3000000−2i2i-22−33−3300−i3i3−ii3−30000000000000i−ii3−i31-1000000
χ412-2-2222i−2i-2-22002i−2i-121-21-2-1200-11-11−ii2i−2i−33i3−i30000002i−2i2-2−33−3300i3−i3−ii−330000000000000−iii3−i3-11000000
χ422-2-2222i−2i-2-22002i−2i-121-21-2-1200-11-11−ii2i−2i−33i3−i3000000−2i2i-223−33−300i3−i3−ii−330000000000000i−i−i3i31-1000000
χ432-2-222−2i2i-2-2200−2i2i22-2-2-2-222002-22-2−2i2i−2i2i00000000002i−2i-2200000000−2i2i0000000000000002i−2i00-22000000
χ442-2-222−2i2i-2-2200−2i2i22-2-2-2-222002-22-2−2i2i−2i2i0000000000−2i2i2-200000000−2i2i000000000000000−2i2i002-2000000
χ452-2-222−2i2i-2-2200−2i2i-121-21-2-1200-11-11i−i−2i2i3−3i3−i30000002i−2i-22−33−3300i3−i3i−i3−30000000000000−ii−i3i31-1000000
χ462-2-222−2i2i-2-2200−2i2i-121-21-2-1200-11-11i−i−2i2i3−3i3−i3000000−2i2i2-23−33−300i3−i3i−i3−30000000000000i−ii3−i3-11000000
χ472-2-222−2i2i-2-2200−2i2i-121-21-2-1200-11-11i−i−2i2i−33−i3i30000002i−2i-223−33−300−i3i3i−i−330000000000000−iii3−i31-1000000
χ482-2-222−2i2i-2-2200−2i2i-121-21-2-1200-11-11i−i−2i2i−33−i3i3000000−2i2i2-2−33−3300−i3i3i−i−330000000000000i−i−i3i3-11000000
χ4944444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-200000000000000-2-21111110000000000000000000000000
χ504444444444-4-444-2-2-2-2-2-2-2-2-4-41111-2-2-2-222220000000000000022-1-111-1-10000000000000000000000000
χ5144444-4-44444-4-4-4-2-2-2-2-2-2-2-24-411112222-2-22200000000000000-22-1-1-1-1110000000000000000000000000
χ5244444-4-4444-44-4-4-2-2-2-2-2-2-2-2-441111222222-2-2000000000000002-211-1-1-1-10000000000000000000000000
χ5344-4-44004-4-400004-24-2-42-4200-2-2220000000000004-4000000000000000000000000000-22000000000000
χ5444-4-44004-4-400004-24-2-42-4200-2-222000000000000-440000000000000000000000000002-2000000000000
χ5544-4-44004-4-40000-24-242-42-400-2-222000000004-400000000-2-222000000000000000000000000000000000
χ5644-4-44004-4-40000-24-242-42-400-2-22200000000-440000000022-2-2000000000000000000000000000000000
χ574-44-4400-44-4000044-4-444-4-4004-4-440000000000000000000000000000000000000000000000000000000
χ584-44-4400-44-400004-2-424-2-4200-222-2000000000000000000000000000000000000000000000000023−230000
χ594-44-4400-44-400004-2-424-2-4200-222-20000000000000000000000000000000000000000000000000−23230000
χ604-44-4400-44-40000-242-4-242-400-222-200000000000000000023−23−2323000000000000000000000000000000000
χ614-44-4400-44-40000-242-4-242-400-222-2000000000000000000−232323−23000000000000000000000000000000000
χ624-4-4444i−4i-4-44004i−4i4-2-42-424-200-22-224i−4i−2i2i0000000000000000000000−2i2i000000000000000000000000000
χ634-4-4444i−4i-4-44004i−4i-2-22222-2-2001-11-1−2i2i−2i2i23−23−2i32i30000000000000000i3−i3i−i−330000000000000000000000000
χ644-4-4444i−4i-4-44004i−4i-2-22222-2-2001-11-1−2i2i−2i2i−23232i3−2i30000000000000000−i3i3i−i3−30000000000000000000000000
χ654-4-444−4i4i-4-4400−4i4i4-2-42-424-200-22-22−4i4i2i−2i00000000000000000000002i−2i000000000000000000000000000
χ664-4-444−4i4i-4-4400−4i4i-2-22222-2-2001-11-12i−2i2i−2i23−232i3−2i30000000000000000−i3i3−ii−330000000000000000000000000
χ674-4-444−4i4i-4-4400−4i4i-2-22222-2-2001-11-12i−2i2i−2i−2323−2i32i30000000000000000i3−i3−ii3−30000000000000000000000000
χ686666-366-3-3-366-3-300000000-3-300000000000000220000000000000000002002200-1-1-1-10000000000-1-100
χ696666-366-3-3-366-3-300000000-3-300000000000000-2-2000000000000000000-200-2-200111100000000001100
χ706666-366-3-3-3-6-6-3-300000000330000000000000022000000000000000000-2002-200-1-1-1-100000000001100
χ716666-366-3-3-3-6-6-3-3000000003300000000000000-2-2000000000000000000200-220011110000000000-1-100
χ726666-3-6-6-3-3-36-63300000000-330000000000000022000000000000000000200-2-200-1-1110000000000-1100
χ736666-3-6-6-3-3-36-63300000000-3300000000000000-2-2000000000000000000-200220011-1-100000000001-100
χ746666-3-6-6-3-3-3-6633000000003-30000000000000022000000000000000000-200-2200-1-11100000000001-100
χ756666-3-6-6-3-3-3-6633000000003-300000000000000-2-20000000000000000002002-20011-1-10000000000-1100
χ7688-8-88008-8-80000-4-4-4-444440022-2-20000000000000000000000000000000000000000000000000000000
χ778-88-8800-88-80000-4-444-4-444002-2-220000000000000000000000000000000000000000000000000000000
χ781212-12-12-600-66600000000000000000000000000004-40000000000000000000000000-220000000000000000
χ791212-12-12-600-6660000000000000000000000000000-4400000000000000000000000002-20000000000000000
χ8012-1212-12-6006-6600000000000000000000000000000000000000000000000000000000023−2300000000000000
χ8112-1212-12-6006-66000000000000000000000000000000000000000000000000000000000−232300000000000000
χ8212-12-1212-612i−12i66-600−6i6i000000000000000000000000000000000000000000000000000000000000000000000
χ8312-12-1212-6−12i12i66-6006i−6i000000000000000000000000000000000000000000000000000000000000000000000

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