Finite Group Databasebeta

← Group #13149459

Character table — Group #13149459

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11112222224444444466666666121212121212121218181818181818181818181818182424242424242424242436363636363636363636363636363636363636363672727272
order122234466644121212121212336666663666121212122244444444666612121212121212121212222444466121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-111-1-11-111-1-1-1-1-1-1-1-111-1-1-111-1
χ51111111111-1-1-1-111-1-1111111111111111111-1-111-1-1111111-1-1-1-1-1-111-1-1-11-11-1-1111-1-111-1-1111111-1-1-1-1
χ61111111111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-11-1111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-111-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-111-1-11111-1-111-111-1
χ81111111111-1-1-1-111-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-11111-1-111-1-111-1-11-1-11
χ911111-1-11111-111-1-1-1-1111111111111-1-1-1-1111111-1-11111111-11-111-1-1-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-1-11-11
χ1011111-1-11111-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-1-1-111-11-11-11111-1-1-1-1-1-1-1-1111-11-1
χ1111111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-111-1-1-1-1-11-1-111111-1-1111111-1-1-1-1-1-111
χ1211111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-1-1-11-111-1-11-1-1-1-11111-1-1111111-1-1
χ1311111-1-1111-11-1-1-1-111111111111111-1-1-1-111-1-11111111111-11-11-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1111111-1-11-11-1
χ1411111-1-1111-11-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-11111-11-11-1-1-1-111-11111-1-111-1-1-1-111-1-1-1-111-11-11
χ1511111-1-1111-11-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-1-11111111-1-111-1-1-1-111-1-1
χ1611111-1-1111-11-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-11-1-1-1-111-1-1-11111-1-11111-1-1-1-11111-1-111
χ172222222222222222222-1-12-12-12-1-1-1-122-1-100000000220000-122-1-1-1-1-1-1-10220020-1-100000000-1-1000-1-10
χ182222222222222222222-1-12-12-12-1-1-1-122-1-100000000-2-20000-122-1-1-1-1-1-1-10-2-200-20110000000011000110
χ19222222222222222222-122-12-12-1-1-1-1-1-1-122000022000000002-1-12-1-1-1-1-1-1200220000000000-1-100-1-1-100-1
χ20222222222222222222-122-12-12-1-1-1-1-1-1-1220000-2-2000000002-1-12-1-1-1-1-1-1-200-2-200000000001100111001
χ212222222222-2-2-2-222-2-22-1-12-12-12-1-1-1-122-1-1000000002200001-2-2111-1-11102-200-20-1-100000000-1-1000110
χ222222222222-2-2-2-222-2-22-1-12-12-12-1-1-1-122-1-100000000-2-200001-2-2111-1-1110-220020110000000011000-1-10
χ232222222222-2-2-2-222-2-2-122-12-12-1-1-1-1-1-1-12200002200000000-211-211-1-111-2002-20000000000-1-100-1-11001
χ242222222222-2-2-2-222-2-2-122-12-12-1-1-1-1-1-1-1220000-2-200000000-211-211-1-111200-220000000000110011-100-1
χ2522222-2-22222-222-2-2-2-22-1-12-12-12-1-1-1-1-2-21100000000220000-1-221-1-111110-2200-201100000000-1-1000-110
χ2622222-2-22222-222-2-2-2-22-1-12-12-12-1-1-1-1-2-21100000000-2-20000-1-221-1-1111102-20020-1-100000000110001-10
χ2722222-2-22222-222-2-2-2-2-122-12-12-1-1-1-1-111-2-20000220000000021-1-2-1-11111-200-220000000000-1-10011100-1
χ2822222-2-22222-222-2-2-2-2-122-12-12-1-1-1-1-111-2-20000-2-20000000021-1-2-1-111112002-200000000001100-1-1-1001
χ2922222-2-2222-22-2-2-2-2222-1-12-12-12-1-1-1-1-2-2110000000022000012-2-11111-1-10-2-200201100000000-1-10001-10
χ3022222-2-2222-22-2-2-2-2222-1-12-12-12-1-1-1-1-2-21100000000-2-2000012-2-11111-1-102200-20-1-10000000011000-110
χ3122222-2-2222-22-2-2-2-222-122-12-12-1-1-1-1-111-2-200002200000000-2-1121111-1-1200-2-20000000000-1-10011-1001
χ3222222-2-2222-22-2-2-2-222-122-12-12-1-1-1-1-111-2-20000-2-200000000-2-1121111-1-1-2002200000000001100-1-1100-1
χ3322-2-222i−2i-22-200002i−2i00222-2-22-2-22-22-22i−2i2i−2i002-2002i−2i0000000000002i−2i000000000002-2002i−2i0000000000
χ3422-2-222i−2i-22-200002i−2i00222-2-22-2-22-22-22i−2i2i−2i00-2200−2i2i0000000000002i−2i00000000000-2200−2i2i0000000000
χ3522-2-22−2i2i-22-20000−2i2i00222-2-22-2-22-22-2−2i2i−2i2i002-200−2i2i000000000000−2i2i000000000002-200−2i2i0000000000
χ3622-2-22−2i2i-22-20000−2i2i00222-2-22-2-22-22-2−2i2i−2i2i00-22002i−2i000000000000−2i2i00000000000-22002i−2i0000000000
χ372-22-22002-2-20000000022-2-22-2-2222-2-200002-2002i−2i002i−2i22-2-200000000000000000000000002i−2i2i−2i000000
χ382-22-22002-2-20000000022-2-22-2-2222-2-200002-200−2i2i00−2i2i22-2-20000000000000000000000000−2i2i−2i2i000000
χ392-22-22002-2-20000000022-2-22-2-2222-2-20000-22002i−2i00−2i2i-2-22200000000000000000000000002i−2i−2i2i000000
χ402-22-22002-2-20000000022-2-22-2-2222-2-20000-2200−2i2i002i−2i-2-2220000000000000000000000000−2i2i2i−2i000000
χ41444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-200000000000000-2-2-2-21111110000000000000000000000000
χ424444444444-4-4-4-444-4-4-2-2-2-2-2-2-2-21111-2-2-2-2000000000000002222-1-111-1-10000000000000000000000000
χ4344444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-21111222200000000000000-22-2211-1-1-1-10000000000000000000000000
χ4444444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-211112222000000000000002-22-2-1-1-1-1110000000000000000000000000
χ4544-4-444i−4i-44-400004i−4i004-2-2-4242-4-22-224i−4i−2i2i00000000000000000000−2i2i000000000000000000000000000
χ4644-4-444i−4i-44-400004i−4i00-2442-4-2-42-22-22−2i2i4i−4i00000000000000000000−2i2i000000000000000000000000000
χ4744-4-444i−4i-44-400004i−4i00-2-2-222-2221-11-1−2i2i−2i2i0000000000000000003-3i−i3i−3i0000000000000000000000000
χ4844-4-444i−4i-44-400004i−4i00-2-2-222-2221-11-1−2i2i−2i2i000000000000000000-33i−i−3i3i0000000000000000000000000
χ4944-4-44−4i4i-44-40000−4i4i004-2-2-4242-4-22-22−4i4i2i−2i000000000000000000002i−2i000000000000000000000000000
χ5044-4-44−4i4i-44-40000−4i4i00-2442-4-2-42-22-222i−2i−4i4i000000000000000000002i−2i000000000000000000000000000
χ5144-4-44−4i4i-44-40000−4i4i00-2-2-222-2221-11-12i−2i2i−2i0000000000000000003-3−ii−3i3i0000000000000000000000000
χ5244-4-44−4i4i-44-40000−4i4i00-2-2-222-2221-11-12i−2i2i−2i000000000000000000-33−ii3i−3i0000000000000000000000000
χ534-44-44004-4-4000000004-22-4-2-424-2-2220000000000004i−4i0000000000000000000000000000000−2i2i000000
χ544-44-44004-4-4000000004-22-4-2-424-2-222000000000000−4i4i00000000000000000000000000000002i−2i000000
χ554-44-44004-4-400000000-24-4242-4-2-2-222000000004i−4i000000000000000000000000000000000−2i2i00000000
χ564-44-44004-4-400000000-24-4242-4-2-2-22200000000−4i4i0000000000000000000000000000000002i−2i00000000
χ574-4-44400-4-440000000044-44-4-44-44-4-4400000000000000000000000000000000000000000000000000000
χ584-4-44400-4-44000000004-2242-4-2-4-222-200000000000000000000000000000000000−2i32i30000000000000000
χ594-4-44400-4-44000000004-2242-4-2-4-222-2000000000000000000000000000000000002i3−2i30000000000000000
χ604-4-44400-4-4400000000-24-4-2-4242-222-20000000000000000000000000000000000000000000000023−230000
χ614-4-44400-4-4400000000-24-4-2-4242-222-200000000000000000000000000000000000000000000000−23230000
χ626666-366-3-3-366-3-3-3-3-3-300000000000000002222002200-1-1-1-10000000000000000200-1-1-1-1-1-10000000000
χ636666-366-3-3-366-3-3-3-3-3-30000000000000000-2-2-2-200-2-20011110000000000000000-2001111110000000000
χ646666-366-3-3-3-6-633-3-333000000000000000022-2-200-2-200-1-1-1-1000000000000000020011-1-1110000000000
χ656666-366-3-3-3-6-633-3-3330000000000000000-2-22200220011110000000000000000-200-1-111-1-10000000000
χ666666-3-6-6-3-3-36-6-3-333330000000000000000222200-2-200-1-1-1-10000000000000000-200-1-111110000000000
χ676666-3-6-6-3-3-36-6-3-333330000000000000000-2-2-2-20022001111000000000000000020011-1-1-1-10000000000
χ686666-3-6-6-3-3-3-663333-3-3000000000000000022-2-2002200-1-1-1-10000000000000000-2001111-1-10000000000
χ696666-3-6-6-3-3-3-663333-3-30000000000000000-2-22200-2-20011110000000000000000200-1-1-1-1110000000000
χ7066-6-6-36i−6i3-3300−3i33i3−3i3i33−330000000000000000002-2002i−2i00−i3i3−i3i30000000000000000000-113−3−ii0000000000
χ7166-6-6-36i−6i3-3300−3i33i3−3i3i33−33000000000000000000-2200−2i2i00i3−i3i3−i300000000000000000001-1−33i−i0000000000
χ7266-6-6-36i−6i3-33003i3−3i3−3i3i−33330000000000000000002-2002i−2i00i3−i3i3−i30000000000000000000-11−33−ii0000000000
χ7366-6-6-36i−6i3-33003i3−3i3−3i3i−3333000000000000000000-2200−2i2i00−i3i3−i3i300000000000000000001-13−3i−i0000000000
χ7466-6-6-3−6i6i3-3300−3i33i33i−3i−33330000000000000000002-200−2i2i00−i3i3−i3i30000000000000000000-11−33i−i0000000000
χ7566-6-6-3−6i6i3-3300−3i33i33i−3i−3333000000000000000000-22002i−2i00i3−i3i3−i300000000000000000001-13−3−ii0000000000
χ7666-6-6-3−6i6i3-33003i3−3i33i−3i33−330000000000000000002-200−2i2i00i3−i3i3−i30000000000000000000-113−3i−i0000000000
χ7766-6-6-3−6i6i3-33003i3−3i33i−3i33−33000000000000000000-22002i−2i00−i3i3−i3i300000000000000000001-1−33−ii0000000000
χ788-88-88008-8-800000000-4-444-444-422-2-200000000000000000000000000000000000000000000000000000
χ798-8-88800-8-8800000000-4-44-444-442-2-2200000000000000000000000000000000000000000000000000000
χ8012-1212-12-600-6660000000000000000000000004-400000000-2-22200000000000000000000000000000000000
χ8112-1212-12-600-666000000000000000000000000-440000000022-2-200000000000000000000000000000000000
χ8212-12-1212-60066-60000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000
χ8312-12-1212-60066-600000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000

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