Finite Group Databasebeta

← Group #13149612

Character table — Group #13149612

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222444466666666881212121212121212121212121818181818181818181818181818242424242424242436363636363636363636363636363636363636363672727272
order12223446664412123366666612123666121212121212121222224444446666121212121212121222444446666121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-11-11-1-11-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-11111-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-11-1-111-1111111-1-111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1111-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11111-1-11111-1-111-1-1-1-111
χ81111111111-1-11111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1111111-1-11111111-111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-111-111-1
χ1011111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-111-1-111-1-1-1-111111-111-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-11-1-11
χ1111111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-1-1-111-11-111111-1-1-1-11111-1-1-11-11
χ1211111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-11-1-1111-1-1-1-1-111-1-11111111-11-1
χ1311111-1-1111-11-1-111111111-111111-1-1-1-1-1-1111111-1-111111111-11-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-111111-1-11
χ1411111-1-1111-11-1-111111111-111111-1-1-1-1-1-11111-1-1-1-111-1-11111-11-1-1-1-111-1111-11-1-1-11111-1-1-1-111-1-1-111-1
χ1511111-1-1111-11-1-111111111-111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-111-1-11111-1-11111-1-1-1-11-11-1
χ1611111-1-1111-11-1-111111111-111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-111-1-11-1111-1-1-1-1111111-1-111-11-11
χ17222222222222222-12-12-12-122-1-1-1-12222-1-12200000000220000-1-1-1-1-1-1-1-1020200200-1-100000000-1-100-1-1
χ18222222222222222-12-12-12-122-1-1-1-12222-1-12200000000-2-20000-1-1-1-1-1-1-1-10-20-200-2001100000000110011
χ1922222222222222-12-12-12-1222-1-1-1-1-1-1-1-122-1-12200222200-1-1-1-122-1-1-1-1-1-10000200000000-1-1-1-1-1-1000000
χ2022222222222222-12-12-12-1222-1-1-1-1-1-1-1-122-1-1-2-200-2-2-2-200111122-1-1-1-1-1-10000-200000000111111000000
χ212222222222-2-2222-12-12-12-1-2-2-1-1-1-1-2-222-1-1-2-2000000002200001111-1-111020-200-200-1-100000000-1-10011
χ222222222222-2-2222-12-12-12-1-2-2-1-1-1-1-2-222-1-1-2-200000000-2-200001111-1-1110-2020020011000000001100-1-1
χ232222222222-2-222-12-12-12-12-2-2-1-1-1-111-1-122112200-2-2-2-200-1-1-1-1-2-211-1-111000020000000011-1-111000000
χ242222222222-2-222-12-12-12-12-2-2-1-1-1-111-1-12211-2-2002222001111-2-211-1-1110000-200000000-1-111-1-1000000
χ2522222-2-22222-2-2-22-12-12-12-12-2-1-1-1-122-2-211-2-200000000220000-11-1-111110-20200-2001100000000-1-100-11
χ2622222-2-22222-2-2-22-12-12-12-12-2-1-1-1-122-2-211-2-200000000-2-20000-11-1-11111020-200200-1-10000000011001-1
χ2722222-2-22222-2-2-2-12-12-12-122-2-1-1-1-1-1-111-2-211220022-2-200-1-1-1-12-2-1-111110000-200000000-1-11111000000
χ2822222-2-22222-2-2-2-12-12-12-122-2-1-1-1-1-1-111-2-211-2-200-2-2220011112-2-1-11111000020000000011-1-1-1-1000000
χ2922222-2-2222-22-2-22-12-12-12-1-22-1-1-1-1-2-2-2-21122000000002200001-11111-1-10-20-2002001100000000-1-1001-1
χ3022222-2-2222-22-2-22-12-12-12-1-22-1-1-1-1-2-2-2-2112200000000-2-200001-11111-1-1020200-200-1-1000000001100-11
χ3122222-2-2222-22-2-2-12-12-12-12-22-1-1-1-11111-2-2-1-12200-2-22200-1-1-1-1-221111-1-10000-2000000001111-1-1000000
χ3222222-2-2222-22-2-2-12-12-12-12-22-1-1-1-11111-2-2-1-1-2-20022-2-2001111-221111-1-10000200000000-1-1-1-111000000
χ332-22-222i−2i2-2-2002i−2i22-2-222-2-2002-22-2002i−2i2i−2i0000002-22i−2i00000000002i−2i0000000000000002-2002i−2i000000
χ342-22-222i−2i2-2-2002i−2i22-2-222-2-2002-22-2002i−2i2i−2i000000-22−2i2i00000000002i−2i000000000000000-2200−2i2i000000
χ352-22-222i−2i2-2-2002i−2i-121-2-121-200-11-11−i3i3−ii2i−2i3−300002-22i−2i00−i3−i3i3i300−i3i3−ii3−30000000000000-113−3−ii000000
χ362-22-222i−2i2-2-2002i−2i-121-2-121-200-11-11−i3i3−ii2i−2i3−30000-22−2i2i00i3i3−i3−i300−i3i3−ii3−300000000000001-1−33i−i000000
χ372-22-222i−2i2-2-2002i−2i-121-2-121-200-11-11i3−i3−ii2i−2i−3300002-22i−2i00i3i3−i3−i300i3−i3−ii−330000000000000-11−33−ii000000
χ382-22-222i−2i2-2-2002i−2i-121-2-121-200-11-11i3−i3−ii2i−2i−330000-22−2i2i00−i3−i3i3i300i3−i3−ii−3300000000000001-13−3i−i000000
χ392-22-22−2i2i2-2-200−2i2i22-2-222-2-2002-22-200−2i2i−2i2i0000002-2−2i2i0000000000−2i2i0000000000000002-200−2i2i000000
χ402-22-22−2i2i2-2-200−2i2i22-2-222-2-2002-22-200−2i2i−2i2i000000-222i−2i0000000000−2i2i000000000000000-22002i−2i000000
χ412-22-22−2i2i2-2-200−2i2i-121-2-121-200-11-11−i3i3i−i−2i2i−3300002-2−2i2i00−i3−i3i3i300−i3i3i−i−330000000000000-11−33i−i000000
χ422-22-22−2i2i2-2-200−2i2i-121-2-121-200-11-11−i3i3i−i−2i2i−330000-222i−2i00i3i3−i3−i300−i3i3i−i−3300000000000001-13−3−ii000000
χ432-22-22−2i2i2-2-200−2i2i-121-2-121-200-11-11i3−i3i−i−2i2i3−300002-2−2i2i00i3i3−i3−i300i3−i3i−i3−30000000000000-113−3i−i000000
χ442-22-22−2i2i2-2-200−2i2i-121-2-121-200-11-11i3−i3i−i−2i2i3−30000-222i−2i00−i3−i3i3i300i3−i3i−i3−300000000000001-1−33−ii000000
χ452-2-22200-2-22000022-2-2-2-222002-2-22000000002-22-200002-22-22-20000000000000002-200000000002-20000
χ462-2-22200-2-22000022-2-2-2-222002-2-22000000002-2-220000-222-22-2000000000000000-220000000000-220000
χ472-2-22200-2-22000022-2-2-2-222002-2-2200000000-222-20000-22-22-220000000000000002-20000000000-220000
χ482-2-22200-2-22000022-2-2-2-222002-2-2200000000-22-2200002-2-22-22000000000000000-2200000000002-20000
χ4944444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-200000000000000-2-21111110000000000000000000000000
χ504444444444-4-444-2-2-2-2-2-2-2-2-4-4111122-2-2-2-2220000000000000022-1-111-1-10000000000000000000000000
χ5144444-4-44444-4-4-4-2-2-2-2-2-2-2-24-41111-2-222222200000000000000-2211-1-1-1-10000000000000000000000000
χ5244444-4-4444-44-4-4-2-2-2-2-2-2-2-2-441111222222-2-2000000000000002-2-1-1-1-1110000000000000000000000000
χ5344-4-4400-44-400004444-4-4-4-40044-4-40000000000000000000000000000000000000000000000000000000
χ5444-4-4400-44-400004-24-2-42-4200-2-222000000000000000000000000000000000000000−2i32i300000000000000
χ5544-4-4400-44-400004-24-2-42-4200-2-2220000000000000000000000000000000000000002i3−2i300000000000000
χ5644-4-4400-44-40000-24-242-42-400-2-222000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ5744-4-4400-44-40000-24-242-42-400-2-2220000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ584-44-444i−4i4-4-4004i−4i4-2-424-2-4200-22-22004i−4i−2i2i00000000000000000000−2i2i000000000000000000000000000
χ594-44-444i−4i4-4-4004i−4i-2-222-2-222001-11-1−2i32i3−2i2i−2i2i23−230000000000000000i3−i3i−i−330000000000000000000000000
χ604-44-444i−4i4-4-4004i−4i-2-222-2-222001-11-12i3−2i3−2i2i−2i2i−23230000000000000000−i3i3i−i3−30000000000000000000000000
χ614-44-44−4i4i4-4-400−4i4i4-2-424-2-4200-22-2200−4i4i2i−2i000000000000000000002i−2i000000000000000000000000000
χ624-44-44−4i4i4-4-400−4i4i-2-222-2-222001-11-1−2i32i32i−2i2i−2i−23230000000000000000i3−i3−ii3−30000000000000000000000000
χ634-44-44−4i4i4-4-400−4i4i-2-222-2-222001-11-12i3−2i32i−2i2i−2i23−230000000000000000−i3i3−ii−330000000000000000000000000
χ644-4-44400-4-4400004-2-42-424-200-222-200000000000000004-40000000000000000000000000000000-220000
χ654-4-44400-4-4400004-2-42-424-200-222-20000000000000000-4400000000000000000000000000000002-20000
χ664-4-44400-4-440000-242-42-4-2400-222-2000000004-400000000-22-22000000000000000000000000000000000
χ674-4-44400-4-440000-242-42-4-2400-222-200000000-44000000002-22-2000000000000000000000000000000000
χ686666-366-3-3-366-3-300000000-3-300000000000000220000000000000000002020020-1-100-1-100000000-1-100
χ696666-366-3-3-366-3-300000000-3-300000000000000-2-2000000000000000000-20-200-20110011000000001100
χ706666-366-3-3-3-6-6-3-300000000330000000000000022000000000000000000-20-20020-1-100-1-1000000001100
χ716666-366-3-3-3-6-6-3-3000000003300000000000000-2-200000000000000000020200-2011001100000000-1-100
χ726666-3-6-6-3-3-36-63300000000-330000000000000022000000000000000000-20200-20-1-10011000000001-100
χ736666-3-6-6-3-3-36-63300000000-3300000000000000-2-200000000000000000020-200201100-1-100000000-1100
χ746666-3-6-6-3-3-3-6633000000003-3000000000000002200000000000000000020-200-20-1-1001100000000-1100
χ756666-3-6-6-3-3-3-6633000000003-300000000000000-2-2000000000000000000-20200201100-1-1000000001-100
χ7688-8-8800-88-80000-4-4-4-444440022-2-20000000000000000000000000000000000000000000000000000000
χ778-8-88800-8-880000-4-44444-4-4002-2-220000000000000000000000000000000000000000000000000000000
χ781212-12-12-6006-660000000000000000000000000000000000000000000000000000000000023−23000000000000
χ791212-12-12-6006-6600000000000000000000000000000000000000000000000000000000000−2323000000000000
χ8012-1212-12-612i−12i-66600−6i6i000000000000000000000000000000000000000000000000000000000000000000000
χ8112-1212-12-6−12i12i-666006i−6i000000000000000000000000000000000000000000000000000000000000000000000
χ8212-12-1212-60066-600000000000000000000000000004-40000000000000000000000000-220000000000000000
χ8312-12-1212-60066-60000000000000000000000000000-4400000000000000000000000002-20000000000000000

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