Finite Group Databasebeta

← Group #11888552

Character table — Group #11888552

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11114444444444488881212121216161616181818182424242424242424242424242424363636363636484848487272
order122233444666666121212122244121212122244224444666612121212248888612121288
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1111111111-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ41111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ51111111-1-111111111-1-11111-11-1-1-1-111-1-1-111-1-1-11111111-111-1-1-1-11-1-11
χ61111111-1-111111111-1-111-1-1-11-1-1-1-111-11-11-11111111-1-11-1-1-111-1-1-111-1
χ71111111-1-111111111-1-1-1-111-11-1-1-1-1111-11-11-1-1-1-1-1-1-1111-1-1-111111-11-1
χ81111111-1-111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1111-1-1-1-1-1-11-111-1-111-11-11
χ9111111-11-1111111-1-1-1-11111-1-11111111-1-1-1-11-1-111-1-111-1-111111-1-11-1-1
χ10111111-11-1111111-1-1-1-111-1-1-1-111111111-1-11-11111-1-1-1-1-1-1-1-1-1-11-11-111
χ11111111-11-1111111-1-1-1-1-1-111-1-1111111-1-111-11-1-1-1-11111-1-1-1-1-1-1-11-1111
χ12111111-11-1111111-1-1-1-1-1-1-1-1-1-1111111-11111-111-1-111-1-1-1-11111-111-1-1-1
χ13111111-1-11111111-1-11111111-1-1-1-1-111-111-1-1-11111-1-111-1111-1-1-11-1-11-1
χ14111111-1-11111111-1-11111-1-11-1-1-1-1-111-1-11-111-1-111-1-1-1-1-11-1-111-1111-11
χ15111111-1-11111111-1-111-1-1111-1-1-1-1-11111-11-1-111-1-11111-11-1-1111-1-1-1-11
χ16111111-1-11111111-1-111-1-1-1-11-1-1-1-1-1111-1-1111-1-1-1-111-1-1-1111-1-11-1111-1
χ17222222222222222222200002222-2-2-2-200000000000000-2-20000000000
χ182222222-2-222222222-2-20000-22-2-222-2-200000000000000-220000000000
χ19222222-22-2222222-2-2-2-20000-2-222-2-2-2-200000000000000220000000000
χ20222222-2-22222222-2-22200002-2-2-222-2-2000000000000002-20000000000
χ212-22-222000-2-22-22-200002-22i−2i0000002-2000000002-2002i−2i002i−2i00000000
χ222-22-222000-2-22-22-200002-2−2i2i0000002-2000000002-200−2i2i00−2i2i00000000
χ232-22-222000-2-22-22-20000-222i−2i0000002-200000000-22002i−2i00−2i2i00000000
χ242-22-222000-2-22-22-20000-22−2i2i0000002-200000000-2200−2i2i002i−2i00000000
χ2544441-24441-21-2-21-2-2110022-211-20000020022-1-10000-1-100000000-1-100
χ2644441-24441-21-2-21-2-21100-2-2-211-200000-200-2-211000011000000001100
χ2744441-24-4-41-21-2-21-2-2-1-1002221-1200000-2002-2110000-1-100000000-1100
χ2844441-24-4-41-21-2-21-2-2-1-100-2-221-1200000200-22-1-1000011000000001-100
χ2944441-2-44-41-21-2-2122-1-100222-11-200000-200-22110000-1-1000000001-100
χ3044441-2-44-41-21-2-2122-1-100-2-22-11-2000002002-2-1-100001100000000-1100
χ3144441-2-4-441-21-2-2122110022-2-1-1200000200-2-2-1-10000-1-1000000001100
χ3244441-2-4-441-21-2-21221100-2-2-2-1-1200000-200221100001100000000-1-100
χ334444-21444-21-211-211-2-222001-2-21000020220000-1-1-1-100000000-1-10000
χ344444-21444-21-211-211-2-2-2-2001-2-210000-20-2-20000111100000000110000
χ354444-214-4-4-21-211-211222200-1-22-10000-20-220000-1-1-1-100000000110000
χ364444-214-4-4-21-211-21122-2-200-1-22-10000202-20000111100000000-1-10000
χ374444-21-44-4-21-211-2-1-1222200-12-21000020-2-20000-1-11100000000-110000
χ384444-21-44-4-21-211-2-1-122-2-200-12-210000-2022000011-1-1000000001-10000
χ394444-21-4-44-21-211-2-1-1-2-22200122-10000-202-20000-1-111000000001-10000
χ404444-21-4-44-21-211-2-1-1-2-2-2-200122-1000020-22000011-1-100000000-110000
χ4144-4-4440004-4-44-4-40000000000000000000000000000000000−2i22i2000000
χ4244-4-4440004-4-44-4-400000000000000000000000000000000002i2−2i2000000
χ434-44-444000-4-44-44-400000000000000-4400000000000000000000000000
χ444-4-4444000-44-4-4-440000000000004-40000000000000000000000000000
χ454-4-4444000-44-4-4-44000000000000-440000000000000000000000000000
χ4688-8-82-400024-2-44-20000000000000000000000−2i32i3000000000000000000
χ4788-8-82-400024-2-44-200000000000000000000002i3−2i3000000000000000000
χ4888-8-8-42000-4-242-240000000000000000000000000023−2300000000000000
χ4988-8-8-42000-4-242-2400000000000000000000000000−232300000000000000
χ508-88-82-4000-2424-4-20000004i−4i00000000000000000000−2i2i000000000000
χ518-88-82-4000-2424-4-2000000−4i4i000000000000000000002i−2i000000000000
χ528-88-8-420004-2-4-22400004-4000000000000000000-220000000000000000
χ538-88-8-420004-2-4-2240000-440000000000000000002-20000000000000000
χ548-8-882-4000-2-4-2442006-600000000000000000000000000000000000000
χ558-8-882-4000-2-4-244200-6600000000000000000000000000000000000000
χ568-8-88-42000424-2-2-46i−6i0000000000000000000000000000000000000000
χ578-8-88-42000424-2-2-4−6i6i0000000000000000000000000000000000000000

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