Finite Group Databasebeta

← Group #11722506

Character table — Group #11722506

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size112222244466661212121212121212181818181818181818181818181818181818242424363636363636363636
order12223466612336636666612122222222444446666121266126666612121212
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1111-111-1-1-1-11-1
χ31111111111111111111111-1-1-1111-1-11-1-1-1-1-111-1-1111-1-1-111-1-1-11
χ41111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-1
χ5111-11-111-1-11111111-1-11-1-111-111-1-1-1-111-11111111-1-1-11-11-11-1-1-1
χ6111-11-111-1-11111111-1-11-1-111-1-1-111-11-1-1111-1-1-1-11-1-111-1-11-11-11
χ7111-11-111-1-11111111-1-11-1-1-1-1111-111-1-1-11-1-111-1-11-1-11-111-1-111-1
χ8111-11-111-1-11111111-1-11-1-1-1-11-1-11-11111-1-1-1-1-1111-1-1-1-11-111-111
χ911-111-11-11-111111-1-1111-1-11-111-11-1-1-11-11111111-11-1-1-11-11-11-1-1
χ1011-111-11-11-111111-1-1111-1-11-11-11-11-11-11-111-1-1-1-1-11-11-111-11-1-11
χ1111-111-11-11-111111-1-1111-1-1-11-11-1111-1-11-1-1-111-1-1-11-111-1-111-11-1
χ1211-111-11-11-111111-1-1111-1-1-11-1-11-1-1111-11-1-1-1-111-11-1-11-11-1-1111
χ1311-1-1111-1-1111111-1-1-1-11111-1-11-1-11111-1-1111111-1-111-1-1-1-1-1-111
χ1411-1-1111-1-1111111-1-1-1-11111-1-1-111-11-1-11111-1-1-1-1-1-11-1-1-111111-1
χ1511-1-1111-1-1111111-1-1-1-1111-1111-1-1-1-11-111-1-111-1-1-1-11-111-1-111-11
χ1611-1-1111-1-1111111-1-1-1-1111-111-1111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1
χ1722222222222-12-1-12-12-1-12-100022200200000-1-100-1-1-1000-1-1000-1
χ1822222222222-12-1-12-12-1-12-1000-2-2-200-2000001100-1-1-1000110001
χ192222222222-12-12-1-12-12-1-12222000020000-1-10000-1-1-10-1-10000-10
χ202222222222-12-12-1-12-12-1-12-2-2-20000-20000110000-1-1-1011000010
χ21222-22-222-2-22-12-1-12-1-21-1-2100022-200-200000-1-100-111000-110001
χ22222-22-222-2-22-12-1-12-1-21-1-21000-2-22002000001100-1110001-1000-1
χ23222-22-222-2-2-12-12-1-121-2-11-222-20000-20000-1-10000-1110-11000010
χ24222-22-222-2-2-12-12-1-121-2-11-2-2-22000020000110000-11101-10000-10
χ2522-222-22-22-22-12-1-1-212-1-1-210002-2200-200000-1-1001-110001-10001
χ2622-222-22-22-22-12-1-1-212-1-1-21000-22-20020000011001-11000-11000-1
χ2722-222-22-22-2-12-12-11-2-12-11-22-220000-20000-1-100001-1101-1000010
χ2822-222-22-22-2-12-12-11-2-12-11-2-22-20000200001100001-110-110000-10
χ2922-2-2222-2-222-12-1-1-21-21-12-10002-2-200200000-1-10011-100011000-1
χ3022-2-2222-2-222-12-1-1-21-21-12-1000-22200-200000110011-1000-1-10001
χ3122-2-2222-2-22-12-12-11-21-2-1-122-2-2000020000-1-1000011-10110000-10
χ3222-2-2222-2-22-12-12-11-21-2-1-12-2220000-2000011000011-10-1-1000010
χ334444444444-2-2-2-21-2-2-2-21-2-2000000000000000000111000000000
χ34444-44-444-4-4-2-2-2-21-2-2221220000000000000000001-1-1000000000
χ3544-444-44-44-4-2-2-2-2122-2-2122000000000000000000-11-1000000000
χ3644-4-4444-4-44-2-2-2-2122221-2-2000000000000000000-1-11000000000
χ374-40040-400044-4-440000-400000000000000000000000000000000
χ384-40040-40004-2-42-2000020000000000000000−2i32i300000000000000
χ394-40040-40004-2-42-20000200000000000000002i3−2i300000000000000
χ404-40040-4000-242-4-20000200000000000000−2i32i30000000000000000
χ414-40040-4000-242-4-200002000000000000002i3−2i30000000000000000
χ426666-36-3-3-3-30000000000000000002002220000-1-1000-10000-1-100
χ436666-36-3-3-3-3000000000000000000-200-2-2-2000011000100001100
χ44666-6-3-6-3-333000000000000000000200-2-22000011000-100001-100
χ45666-6-3-6-3-333000000000000000000-20022-20000-1-100010000-1100
χ4666-66-3-6-33-33000000000000000000200-22-2000011000-10000-1100
χ4766-66-3-6-33-33000000000000000000-2002-220000-1-1000100001-100
χ4866-6-6-36-333-30000000000000000002002-2-20000-1-1000-100001100
χ4966-6-6-36-333-3000000000000000000-200-22200001100010000-1-100
χ508-80080-8000-4-44420000-200000000000000000000000000000000
χ5112-1200-606000000000000000000000000000000023−23000000000000
χ5212-1200-6060000000000000000000000000000000−2323000000000000

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