Finite Group Databasebeta

← Group #13149421

Character table — Group #13149421

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666699991212121212121212181818181818181818181818181824242424242424242424363636363636363636363636363636363636363672727272
order12223446664412121212121233666666444436661212121222222244441212121212121212121212121212224444666666661212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111111111-11-1-11-1-1-1-1-1-1-111-1-111-1-111-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111-1-111
χ51111111111-1-1-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1
χ61111111111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-111-1-111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-11-1-111-1-1111111-1-1-1-111
χ81111111111-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-11111-1-111-1-11111-1-1
χ911111-1-11111-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-111-111-1
χ1011111-1-11111-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-11-11-11-1-1-1-111-1-11111-1-11-1-11
χ1111111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-11111111111-1-1-1-1-1-1-11-11
χ1211111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111-1-1-11111-1-1-1-1-1-111111-11-1
χ1311111-1-1111-11-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-111-1-111-1-1-1-1111-1-11
χ1411111-1-1111-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111-11-11-1-1-11111-1-1-1-111-1-1-111-1
χ1511111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-111-1-1111111-1-1-1-11-11-1
χ1611111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-1111111-11-11
χ172222222222222222222-12-1-12-120000-1-1-1-1-1-12200220022000000-12-12-1-1-1-1-1-1020020000000-1-100-1-100-1-100
χ182222222222222222222-12-1-12-120000-1-1-1-1-1-12200-2-200-2-2000000-12-12-1-1-1-1-1-10-200-20000000110011001100
χ19222222222222222222-12-122-12-10000-1-1-1-122-1-1000022002200002-12-1-1-1-1-1-1-10020020000-1-1000000-1-100-1-1
χ20222222222222222222-12-122-12-10000-1-1-1-122-1-10000-2-200-2-200002-12-1-1-1-1-1-1-100-200-2000011000000110011
χ212222222222-2-2-2-222-2-22-12-1-12-120000-1-1-1-1-1-122002200220000001-21-211-1-1110-200-20000000-1-100-1-1001100
χ222222222222-2-2-2-222-2-22-12-1-12-120000-1-1-1-1-1-12200-2-200-2-20000001-21-211-1-11102002000000011001100-1-100
χ232222222222-2-2-2-222-2-2-12-122-12-10000-1-1-1-122-1-100002200220000-21-2111-1-11100-200-20000-1-1000000-1-10011
χ242222222222-2-2-2-222-2-2-12-122-12-10000-1-1-1-122-1-10000-2-200-2-20000-21-2111-1-1110020020000110000001100-1-1
χ2522222-2-22222-222-2-2-2-22-12-1-12-120000-1-1-1-111-2-2002200-2-2000000-121-2-1-111110-20020000000-1-10011001-100
χ2622222-2-22222-222-2-2-2-22-12-1-12-120000-1-1-1-111-2-200-2-20022000000-121-2-1-111110200-200000001100-1-100-1100
χ2722222-2-22222-222-2-2-2-2-12-122-12-10000-1-1-1-1-2-21100002200-2-200002-1-21-1-1111100-20020000-1-100000011001-1
χ2822222-2-22222-222-2-2-2-2-12-122-12-10000-1-1-1-1-2-2110000-2-2002200002-1-21-1-1111100200-2000011000000-1-100-11
χ2922222-2-2222-22-2-2-2-2222-12-1-12-120000-1-1-1-111-2-2002200-2-20000001-2-121111-1-10200-20000000-1-1001100-1100
χ3022222-2-2222-22-2-2-2-2222-12-1-12-120000-1-1-1-111-2-200-2-200220000001-2-121111-1-10-200200000001100-1-1001-100
χ3122222-2-2222-22-2-2-2-222-12-122-12-10000-1-1-1-1-2-21100002200-2-20000-212-11111-1-100200-20000-1-10000001100-11
χ3222222-2-2222-22-2-2-2-222-12-122-12-10000-1-1-1-1-2-2110000-2-200220000-212-11111-1-100-2002000011000000-1-1001-1
χ3322-2-222i−2i2-2-200002i−2i0022-22-22-2-22i2i−2i−2i2-22-22i−2i2i−2i2-2000000002i2i−2i−2i0000002i−2i000000002-20000000000000000
χ3422-2-222i−2i2-2-200002i−2i0022-22-22-2-2−2i−2i2i2i2-22-22i−2i2i−2i-2200000000−2i−2i2i2i0000002i−2i00000000-220000000000000000
χ3522-2-22−2i2i2-2-20000−2i2i0022-22-22-2-22i2i−2i−2i2-22-2−2i2i−2i2i-22000000002i2i−2i−2i000000−2i2i00000000-220000000000000000
χ3622-2-22−2i2i2-2-20000−2i2i0022-22-22-2-2−2i−2i2i2i2-22-2−2i2i−2i2i2-200000000−2i−2i2i2i000000−2i2i000000002-20000000000000000
χ372-22-2200-22-200000000222-22-2-2-22i−2i2i−2i22-2-2000000002-22i−2i002i−2i2i−2i000000000000000000002-200002i−2i000000
χ382-22-2200-22-200000000222-22-2-2-22i−2i2i−2i22-2-200000000-22−2i2i002i−2i2i−2i00000000000000000000-220000−2i2i000000
χ392-22-2200-22-200000000222-22-2-2-2−2i2i−2i2i22-2-2000000002-2−2i2i00−2i2i−2i2i000000000000000000002-20000−2i2i000000
χ402-22-2200-22-200000000222-22-2-2-2−2i2i−2i2i22-2-200000000-222i−2i00−2i2i−2i2i00000000000000000000-2200002i−2i000000
χ412-2-22200-2-220000000022-2-2-2-2222-2-222-2-220000002-200002-22-2-2200000000000000000000002-200002-20000
χ422-2-22200-2-220000000022-2-2-2-2222-2-222-2-22000000-220000-222-2-220000000000000000000000-220000-220000
χ432-2-22200-2-220000000022-2-2-2-222-222-22-2-220000002-20000-22-222-200000000000000000000002-20000-220000
χ442-2-22200-2-220000000022-2-2-2-222-222-22-2-22000000-2200002-2-222-20000000000000000000000-2200002-20000
χ45444444444444444444-2-2-2-2-2-2-2-200001111-2-2-2-200000000000000-2-2-2-2111111000000000000000000000000
χ464444444444-4-4-4-444-4-4-2-2-2-2-2-2-2-200001111-2-2-2-2000000000000002222-1-111-1-1000000000000000000000000
χ4744444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-200001111222200000000000000-2-22211-1-1-1-1000000000000000000000000
χ4844444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-20000111122220000000000000022-2-2-1-1-1-111000000000000000000000000
χ4944-4-444i−4i4-4-400004i−4i004-2-4-2242-40000-22-22−2i2i4i−4i00000000000000000000−2i2i00000000000000000000000000
χ5044-4-444i−4i4-4-400004i−4i00-2424-4-2-420000-22-224i−4i−2i2i00000000000000000000−2i2i00000000000000000000000000
χ5144-4-444i−4i4-4-400004i−4i00-2-22-22-22200001-11-1−2i2i−2i2i0000000000000000003-3i−i3i−3i000000000000000000000000
χ5244-4-444i−4i4-4-400004i−4i00-2-22-22-22200001-11-1−2i2i−2i2i000000000000000000-33i−i−3i3i000000000000000000000000
χ5344-4-44−4i4i4-4-40000−4i4i004-2-4-2242-40000-22-222i−2i−4i4i000000000000000000002i−2i00000000000000000000000000
χ5444-4-44−4i4i4-4-40000−4i4i00-2424-4-2-420000-22-22−4i4i2i−2i000000000000000000002i−2i00000000000000000000000000
χ5544-4-44−4i4i4-4-40000−4i4i00-2-22-22-22200001-11-12i−2i2i−2i0000000000000000003-3−ii−3i3i000000000000000000000000
χ5644-4-44−4i4i4-4-40000−4i4i00-2-22-22-22200001-11-12i−2i2i−2i000000000000000000-33−ii3i−3i000000000000000000000000
χ574-44-4400-44-4000000004-242-2-42-40000-2-22200000000004i−4i00000000000000000000000000000000−2i2i000000
χ584-44-4400-44-4000000004-242-2-42-40000-2-2220000000000−4i4i000000000000000000000000000000002i−2i000000
χ594-44-4400-44-400000000-24-2-442-420000-2-222000000004-40000000000000000000000000000-22000000000000
χ604-44-4400-44-400000000-24-2-442-420000-2-22200000000-4400000000000000000000000000002-2000000000000
χ614-4-44400-4-44000000004-2-422-4-240000-222-20000004-400000000000000000000000000000000-220000000000
χ624-4-44400-4-44000000004-2-422-4-240000-222-2000000-44000000000000000000000000000000002-20000000000
χ634-4-44400-4-4400000000-242-4-424-20000-222-20000000000004-400000000000000000000000000000000-220000
χ644-4-44400-4-4400000000-242-4-424-20000-222-2000000000000-44000000000000000000000000000000002-20000
χ656666-366-3-3-366-3-3-3-3-3-3000000002222000000002200000000-1-1-1-10000000000200200-1-1-1-10000-1-100000000
χ666666-366-3-3-366-3-3-3-3-3-300000000-2-2-2-200000000-2-20000000011110000000000-200-200111100001100000000
χ676666-366-3-3-3-6-633-3-333000000002222000000002200000000-1-1-1-10000000000-200-200-1-11100001100000000
χ686666-366-3-3-3-6-633-3-33300000000-2-2-2-200000000-2-2000000001111000000000020020011-1-10000-1-100000000
χ696666-3-6-6-3-3-36-6-3-3333300000000222200000000-2-200000000-1-1-1-10000000000-20020011110000-1-100000000
χ706666-3-6-6-3-3-36-6-3-3333300000000-2-2-2-200000000220000000011110000000000200-200-1-1-1-100001100000000
χ716666-3-6-6-3-3-3-663333-3-300000000222200000000-2-200000000-1-1-1-10000000000200-20011-1-100001100000000
χ726666-3-6-6-3-3-3-663333-3-300000000-2-2-2-200000000220000000011110000000000-200200-1-1110000-1-100000000
χ7366-6-6-36i−6i-33300−3i33i3−3i3i33−33000000002i2i−2i−2i000000002-200000000−i−iii0000000000000000-11−i3i300003−300000000
χ7466-6-6-36i−6i-33300−3i33i3−3i3i33−3300000000−2i−2i2i2i00000000-2200000000ii−i−i00000000000000001-1i3−i30000−3300000000
χ7566-6-6-36i−6i-333003i3−3i3−3i3i−3333000000002i2i−2i−2i000000002-200000000−i−iii0000000000000000-11i3−i30000−3300000000
χ7666-6-6-36i−6i-333003i3−3i3−3i3i−333300000000−2i−2i2i2i00000000-2200000000ii−i−i00000000000000001-1−i3i300003−300000000
χ7766-6-6-3−6i6i-33300−3i33i33i−3i−3333000000002i2i−2i−2i00000000-2200000000−i−iii00000000000000001-1i3−i300003−300000000
χ7866-6-6-3−6i6i-33300−3i33i33i−3i−333300000000−2i−2i2i2i000000002-200000000ii−i−i0000000000000000-11−i3i30000−3300000000
χ7966-6-6-3−6i6i-333003i3−3i33i−3i33−33000000002i2i−2i−2i00000000-2200000000−i−iii00000000000000001-1−i3i30000−3300000000
χ8066-6-6-3−6i6i-333003i3−3i33i−3i33−3300000000−2i−2i2i2i000000002-200000000ii−i−i0000000000000000-11i3−i300003−300000000
χ818-88-8800-88-800000000-4-4-44-4444000022-2-20000000000000000000000000000000000000000000000000000
χ828-8-88800-8-8800000000-4-44444-4-400002-2-220000000000000000000000000000000000000000000000000000
χ8312-1212-12-6006-6600000000000000004i−4i4i−4i000000000000000000−2i2i−2i2i0000000000000000000000000000000000
χ8412-1212-12-6006-660000000000000000−4i4i−4i4i0000000000000000002i−2i2i−2i0000000000000000000000000000000000
χ8512-12-1212-60066-600000000000000004-4-44000000000000000000-222-20000000000000000000000000000000000
χ8612-12-1212-60066-60000000000000000-444-40000000000000000002-2-220000000000000000000000000000000000

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