Finite Group Databasebeta

← Group #11865416

Character table — Group #11865416

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222444444448888888881212121212121212161618181818242424242424242424242424242424243636484872727272
order12244334466666121212121212121222224444121222444444666612121212121212122212124444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111-1-1111111111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111-1-1111111111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ71111111-1-1111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111
χ81111111-1-1111111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111111-1-111-1-1-1-111-1-1
χ9111-1-1111-111111-1-1-1-111-1-11-11-11-11-11-111-1-11-11-11-11-111-1-11-11-11-11-11-11-1
χ10111-1-1111-111111-1-1-1-111-1-11-11-11-11-11-111-1-1-11-111-11-1-1-1111-11-11-1-11-11-11
χ11111-1-1111-111111-1-1-1-111-1-1-11-11-11-111-111-1-11-11-1-11-1111-1-1-11-111-11-1-11-11
χ12111-1-1111-111111-1-1-1-111-1-1-11-11-11-111-111-1-1-11-11-11-11-1-111-11-111-1-111-11-1
χ13111-1-111-1111111-1-1-1-1-1-1111-1-111-1-11-1111-1-11-1-111-1-11-1-1111-1-11-111-11-1-11
χ14111-1-111-1111111-1-1-1-1-1-1111-1-111-1-11-1111-1-1-111-11-1-1111-1-11-1-11-11-11-111-1
χ15111-1-111-1111111-1-1-1-1-1-111-111-1-111-1-1111-1-11-1-11-111-1-1-111-111-1-111-1-111-1
χ16111-1-111-1111111-1-1-1-1-1-111-111-1-111-1-1111-1-1-111-1-111-111-1-1-111-1-11-111-1-11
χ1722222222222222222222220000000022-2-2-2-20000000000000000-2-2000000
χ182222222-2-2222222222-2-2-2-200000000-2-2-2-2-2-2000000000000000022000000
χ19222-2-2222-222222-2-2-2-222-2-2000000002-2-2-2220000000000000000-22000000
χ20222-2-222-2222222-2-2-2-2-2-22200000000-22-2-22200000000000000002-2000000
χ2122-22-22200-2-222-222-2-20000002200-2-2002-22-200000022000000-2-200000000
χ2222-22-22200-2-222-222-2-2000000-2-20022002-22-2000000-2-20000002200000000
χ2322-22-22200-2-222-222-2-200002-200-220000-22-2200002-2000000-220000000000
χ2422-22-22200-2-222-222-2-20000-22002-20000-22-220000-220000002-20000000000
χ2522-2-222200-2-222-2-2-2220000002-200-22002-2-220000002-2000000-2200000000
χ2622-2-222200-2-222-2-2-222000000-22002-2002-2-22000000-220000002-200000000
χ2722-2-222200-2-222-2-2-22200002200-2-20000-222-2000022000000-2-20000000000
χ2822-2-222200-2-222-2-2-2220000-2-200220000-222-20000-2-2000000220000000000
χ29444441-244111-2-21-21-2-2-2-2-20000000011000022220000-1-1-1-1000000-1-10000
χ30444441-244111-2-21-21-2-2-2-2-200000000110000-2-2-2-200001111000000110000
χ31444441-2-4-4111-2-21-21-2222200000000-1-1000022-2-200001111000000-1-10000
χ32444441-2-4-4111-2-21-21-2222200000000-1-10000-2-2220000-1-1-1-1000000110000
χ3344444-2144-2-2-211-21-21111122222222-2-200000000-1-1-1-10000-1-1-1-100000000
χ3444444-2144-2-2-211-21-211111-2-2-2-2-2-2-2-2-2-20000000011110000111100000000
χ3544444-21-4-4-2-2-211-21-21-1-1-1-122-2-222-2-22200000000-1-1110000-1-11100000000
χ3644444-21-4-4-2-2-211-21-21-1-1-1-1-2-222-2-222220000000011-1-1000011-1-100000000
χ37444-4-41-24-4111-2-2-12-12-2-222000000001-100002-22-20000-1-111000000-110000
χ38444-4-41-24-4111-2-2-12-12-2-222000000001-10000-22-22000011-1-10000001-10000
χ39444-4-41-2-44111-2-2-12-1222-2-200000000-1100002-2-22000011-1-1000000-110000
χ40444-4-41-2-44111-2-2-12-1222-2-200000000-110000-222-20000-1-1110000001-10000
χ41444-4-4-214-4-2-2-2112-12-111-1-12-22-22-22-2-2200000000-11-110000-11-1100000000
χ42444-4-4-214-4-2-2-2112-12-111-1-1-22-22-22-22-22000000001-11-100001-11-100000000
χ43444-4-4-21-44-2-2-2112-12-1-1-1112-2-222-2-222-200000000-111-10000-111-100000000
χ44444-4-4-21-44-2-2-2112-12-1-1-111-222-2-222-22-2000000001-1-1100001-1-1100000000
χ4544-44-4-210022-21-1-212-13-33-32-222-22-2-20000000000-11-1-100001-11100000000
χ4644-44-4-210022-21-1-212-13-33-3-22-2-22-22200000000001-1110000-11-1-100000000
χ4744-44-4-210022-21-1-212-1-33-332-2-2-2-22220000000000-111100001-1-1-100000000
χ4844-44-4-210022-21-1-212-1-33-33-22222-2-2-200000000001-1-1-10000-111100000000
χ4944-4-44-210022-21-12-1-213-3-33222-2-2-2-220000000000-1-1-110000111-100000000
χ5044-4-44-210022-21-12-1-213-3-33-2-2-22222-20000000000111-10000-1-1-1100000000
χ5144-4-44-210022-21-12-1-21-333-322-22-2-22-20000000000-1-11-1000011-1100000000
χ5244-4-44-210022-21-12-1-21-333-3-2-22-222-22000000000011-110000-1-11-100000000
χ5388-88-82-400-2-22-442-4-24000000000000000000000000000000000000000000
χ5488-8-882-400-2-22-44-242-4000000000000000000000000000000000000000000
χ558-80002-4006-6-240000000000000000000000000000000002i3−2i3000000000000
χ568-80002-4006-6-24000000000000000000000000000000000−2i32i3000000000000
χ578-80002-400-66-2400000000000000000000000000000002i3−2i300000000000000
χ588-80002-400-66-240000000000000000000000000000000−2i32i300000000000000
χ598-8000880000-8-800000000000000000000000000000000000000000000000
χ6016-16000-8400008-400000000000000000000000000000000000000000000000

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