Finite Group Databasebeta

← Group #11889321

Character table — Group #11889321

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11114444444444488881212121216161616181818182424242424242424242424242424363636363636484848487272
order122223344666666121212122244661212444424444466121212121212248888612121288
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111111111-1-11-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111-1-11111111111-1-111-11-1-1-1-1111111-1-1-1-1-1-111-1-1
χ41111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ51111111-1-1111111-1-1-1-1111111-1-11111-1-11-11-111-1-111-1-1-1-11111-11-11-1-1
χ61111111-1-1111111-1-1-1-111-1-111-1-11111-1-1-111111-1-1-1-111-1-1-1-1-1-1-111-111
χ71111111-1-1111111-1-1-1-1-1-11111-1-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111
χ81111111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-11-11-1-111-1-111-1-111111-11-1-1-1
χ91111-1111-111111111-1-11111-1-11-1-1-111-11-1-1-11111111-1-1-1111-1-1-1-11-11-1
χ101111-1111-111111111-1-111-1-1-1-11-1-1-111-1111-1-11111-1-111-11-1-111-1-1-11-11
χ111111-1111-111111111-1-1-1-111-1-11-1-1-1111-1-1-111-1-1-1-111-1-1-11-1-111111-1-11
χ121111-1111-111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-1-1-1-111-1111-1-111-111-1
χ131111-111-11111111-1-1111111-1-1-11-1-1111-1-11-1-111-1-111111-111-1-11-1-1-1-11
χ141111-111-11111111-1-11111-1-1-1-1-11-1-1111-11-1-1111-1-1-1-1-1-11-1-1-1111-1111-1
χ151111-111-11111111-1-111-1-111-1-1-11-1-111-11-111-1-1-11111111-1-1-111-11-1-11-1
χ161111-111-11111111-1-111-1-1-1-1-1-1-11-1-111-111-111-1-111-1-1-1-11-111-1-1-1111-11
χ17222222222222222222200002222-2-2-2-200000000000000-2-20000000000
χ182222222-2-2222222-2-2-2-2000022-2-2-2-2-2-200000000000000220000000000
χ192222-2222-222222222-2-20000-2-22-222-2-2000000000000002-20000000000
χ202222-222-22222222-2-2220000-2-2-2222-2-200000000000000-220000000000
χ212-2-2202200-22-22-2-200002-22i−2i0000002-20000002-2002i−2i00002i−2i00000000
χ222-2-2202200-22-22-2-200002-2−2i2i0000002-20000002-200−2i2i0000−2i2i00000000
χ232-2-2202200-22-22-2-20000-222i−2i0000002-2000000-22002i−2i0000−2i2i00000000
χ242-2-2202200-22-22-2-20000-22−2i2i0000002-2000000-2200−2i2i00002i−2i00000000
χ25444441-244-211-2-21-2-21100221-21-200000022020000-1-1-1-100000000-1-100
χ26444441-244-211-2-21-2-21100-2-21-21-2000000-2-20-200001111000000001100
χ27444441-2-4-4-211-2-2122-1-100221-2-120000002-20-20000-1-111000000001-100
χ28444441-2-4-4-211-2-2122-1-100-2-21-2-12000000-2202000011-1-100000000-1100
χ2944444-21441-2-211-211-2-22200-21-210000220020-1-1-1-10000000000-1-10000
χ3044444-21441-2-211-211-2-2-2-200-21-210000-2-200-2011110000000000110000
χ3144444-21-4-41-2-211-2-1-1222200-212-10000-2-20020-1-11100000000001-10000
χ3244444-21-4-41-2-211-2-1-122-2-200-212-100002200-2011-1-10000000000-110000
χ334444-41-24-4-211-2-21-2-2-1-10022-1212000000-2-2020000-1-11100000000-1100
χ344444-41-24-4-211-2-21-2-2-1-100-2-2-1212000000220-2000011-1-1000000001-100
χ354444-41-2-44-211-2-2122110022-12-1-2000000-220-20000-1-1-1-1000000001100
χ364444-41-2-44-211-2-21221100-2-2-12-1-20000002-2020000111100000000-1-100
χ374444-4-214-41-2-211-2112222002-1-2-10000-2200-20-1-1-1-10000000000110000
χ384444-4-214-41-2-211-21122-2-2002-1-2-100002-2002011110000000000-1-10000
χ394444-4-21-441-2-211-2-1-1-2-222002-12100002-200-20-1-1110000000000-110000
χ404444-4-21-441-2-211-2-1-1-2-2-2-2002-1210000-22002011-1-100000000001-10000
χ4144-4-404400-4-44-44-40000000000000000000000000000000000−2i22i2000000
χ4244-4-404400-4-44-44-400000000000000000000000000000000002i2−2i2000000
χ434-44-4044004-4-4-4-440000000000004i−4i0000000000000000000000000000
χ444-44-4044004-4-4-4-44000000000000−4i4i0000000000000000000000000000
χ454-4-4404400-44-44-4-400000000000000-4400000000000000000000000000
χ4688-8-802-4004-224-4-2000000000000000000000000000023−23000000000000
χ4788-8-802-4004-224-4-20000000000000000000000000000−2323000000000000
χ4888-8-80-4200-24-4-224000000000000000000000000−2i32i30000000000000000
χ4988-8-80-4200-24-4-2240000000000000000000000002i3−2i30000000000000000
χ508-88-802-400-4-2-2442006i−6i00000000000000000000000000000000000000
χ518-88-802-400-4-2-244200−6i6i00000000000000000000000000000000000000
χ528-88-80-4200244-2-2-46i−6i0000000000000000000000000000000000000000
χ538-88-80-4200244-2-2-4−6i6i0000000000000000000000000000000000000000
χ548-8-8802-40042-2-44-20000004i−4i000000000000000000−2i2i00000000000000
χ558-8-8802-40042-2-44-2000000−4i4i0000000000000000002i−2i00000000000000
χ568-8-880-4200-2-442-2400004-40000000000000000-22000000000000000000
χ578-8-880-4200-2-442-240000-4400000000000000002-2000000000000000000

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