Finite Group Databasebeta

← Group #11865236

Character table — Group #11865236

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222444444448888888881212121212121212121212121616181818182424242424242424242436364848484872727272
order12244233466121266661212121212222244446612126122244446668812121224121224244488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111-111-1111111-1-111-1-1111-1-111-1-11111-1-11111111-1-1-1-11-1-1-1-111-1-1-1-111
χ611111-111-1111111-1-111-1-1111-1-111-1-11111-1-11111-1-11-1-1111-1-1-1-1-1-11111-1-1
χ711111-111-1111111-1-111-1-11-1-111-1-111-1-1-1-1-1-1111111-111-1-1-111-1-111-1-111-1-1
χ811111-111-1111111-1-111-1-11-1-111-1-111-1-1-1-1-1-11111-1-1-11111-111-1-1-1-111-1-111
χ911-1-11111-111-1-1-1-1111-1-1-111-1111-1-1-111-1-11-1-11-111-1-1111-11-1-1-111-11-11-11-1
χ1011-1-11111-111-1-1-1-1111-1-1-111-1111-1-1-111-1-11-1-11-11-11-111-111-1-1-11-11-11-11-11
χ1111-1-11111-111-1-1-1-1111-1-1-11-11-1-1-1111-1-1111-1-11-111-11-1-11-1-111-111-11-1-11-11
χ1211-1-11111-111-1-1-1-1111-1-1-11-11-1-1-1111-1-1111-1-11-11-111-1-1-11-111-11-11-111-11-1
χ1311-1-11-111111-1-1-1-1-1-11-11111-1-1-11-11111-1-1-11-11-111-1-1-1-1-111111-11-1-11-111-1
χ1411-1-11-111111-1-1-1-1-1-11-11111-1-1-11-11111-1-1-11-11-11-11-1-1-11-11111-1-111-11-1-11
χ1511-1-11-111111-1-1-1-1-1-11-1111-1111-11-1-1-1-111-11-11-111-1111-11-1-1-11-11-1-111-1-11
χ1611-1-11-111111-1-1-1-1-1-11-1111-1111-11-1-1-1-111-11-11-11-111111-1-1-1-11-1-111-1-111-1
χ17222222222222222222222200000000000022-2-2-2-20000000000-2-200000000
χ1822222-222-2222222-2-222-2-22000000000000-2-2-2-2-2-200000000002200000000
χ19222-2-2022022-2-22200-2-200-2002-2002-200000022-2-20002-20002-20000000000
χ20222-2-2022022-2-22200-2-200-200-2200-2200000022-2-2000-22000-220000000000
χ21222-2-2022022-2-22200-2-200-22200-2-20022-2-200-2-2220020000-2000000000000
χ22222-2-2022022-2-22200-2-200-2-2-2002200-2-22200-2-22200-200002000000000000
χ2322-22-202202222-2-200-2200-2002-200-22000000-222-20002-2000-220000000000
χ2422-22-202202222-2-200-2200-200-22002-2000000-222-2000-220002-20000000000
χ2522-22-202202222-2-200-2200-22-200-22002222002-2-2200-20000-2000000000000
χ2622-22-202202222-2-200-2200-2-22002-200-2-2-2-2002-2-2200200002000000000000
χ2722-2-22222-222-2-2-2-2222-2-2-220000000000002-22-22-200000000002-200000000
χ2822-2-22-222222-2-2-2-2-2-22-2222000000000000-222-22-20000000000-2200000000
χ294444441-241-2-2-21-2-2-2-21-2-21000000000000110000220002200000-1-1-1-10000
χ304444441-241-2-2-21-2-2-2-21-2-21000000000000110000-2-2000-2-20000011110000
χ31444444-214-2111-21111-211-222222222-1-1-1-1-2-2000000-1-1-100-1-1-10000000000
χ32444444-214-2111-21111-211-2-2-2-2-2-2-2-2-21111-2-2000000111001110000000000
χ3344444-41-2-41-2-2-21-222-21221000000000000-1-1000022000-2-200000-1-1110000
χ3444444-41-2-41-2-2-21-222-21221000000000000-1-10000-2-2000220000011-1-10000
χ3544444-4-21-4-2111-21-1-11-2-1-1-222-2-222-2-2-1-1-1-122000000-11100-1110000000000
χ3644444-4-21-4-2111-21-1-11-2-1-1-2-2-222-2-2221111220000001-1-1001-1-10000000000
χ37444-4-40-210-21-1-1-213-3-123-32222-2-2-22-2-1-11100000000-1-11001-110000000000
χ38444-4-40-210-21-1-1-213-3-123-32-2-2-2222-2211-1-10000000011-100-11-10000000000
χ39444-4-40-210-21-1-1-21-33-12-33222-22-2-2-22-1-11100000000-11-10011-10000000000
χ40444-4-40-210-21-1-1-21-33-12-332-2-22-2222-211-1-1000000001-1100-1-110000000000
χ4144-44-40-210-21112-13-3-1-2-3322-22-2-22-22-1-1-1-1000000001-110011-10000000000
χ4244-44-40-210-21112-13-3-1-2-332-22-222-22-2111100000000-11-100-1-110000000000
χ4344-44-40-210-21112-1-33-1-23-322-2-22-222-2-1-1-1-10000000011-1001-110000000000
χ4444-44-40-210-21112-1-33-1-23-32-222-22-2-22111100000000-1-1100-11-10000000000
χ4544-4-4441-2-41-222-12-2-2-2-12210000000000001-100002-20002-200000-11-110000
χ4644-4-4441-2-41-222-12-2-2-2-12210000000000001-10000-22000-22000001-11-10000
χ4744-4-444-21-4-21-1-12-11112-1-1-22-2222-2-2-2-1-111-220000001-1-100-1110000000000
χ4844-4-444-21-4-21-1-12-11112-1-1-2-22-2-2-222211-1-1-22000000-111001-1-10000000000
χ4944-4-44-41-241-222-1222-2-1-2-21000000000000-1100002-2000-2200000-111-10000
χ5044-4-44-41-241-222-1222-2-1-2-21000000000000-110000-220002-2000001-1-110000
χ5144-4-44-4-214-21-1-12-1-1-11211-22-2-2-22-222-1-1112-200000011100-1-1-10000000000
χ5244-4-44-4-214-21-1-12-1-1-11211-2-2222-22-2-211-1-12-2000000-1-1-1001110000000000
χ53888-8-802-402-4442-4004-200-200000000000000000000000000000000000000
χ5488-88-802-402-4-4-4-24004200-200000000000000000000000000000000000000
χ558-80000880-8-80000000000000000000000000000000000000000000000000
χ568-80000-4204-26i−6i00000000000000000−2i32i323−2300000000000000000000000000
χ578-80000-4204-26i−6i000000000000000002i3−2i3−232300000000000000000000000000
χ588-80000-4204-2−6i6i00000000000000000−2i32i3−232300000000000000000000000000
χ598-80000-4204-2−6i6i000000000000000002i3−2i323−2300000000000000000000000000
χ6016-1600004-80-480000000000000000000000000000000000000000000000000

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