Finite Group Databasebeta

← Group #13146699

Character table — Group #13146699

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222448121212121212121218182424242436363636363636363672727272727272727272727272727272
order122362663366666644666622244441212266666881212121224242424
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-111-11-1-1-1-111-1-1-1-11111
χ511111-11-11111-1-111111-1-1-1-11-11-11111-1-11-1-1-11-11-11111-1-1
χ611111-11-11111-1-111111-1-1-1-11-11-1-1-1111-11-111-111-1-1-1-1-111
χ711111-11-11111-1-111111-1-1-1-1-11-111111-1-1-11-1-1-11-1111-1-111
χ811111-11-11111-1-111111-1-1-1-1-11-11-1-1111-1-11111-1-11-1-111-1-1
χ92222222222222222-2-22222-2000000-2-20-200000000000000
χ1022222-22-22222-2-222-2-22-2-2-22000000-2-20200000000000000
χ1122-2220-20222-2002-22-2-20000020-2002-2000200000-2000000
χ1222-2220-20222-2002-22-2-200000-202002-2000-2000002000000
χ1322-2220-20222-2002-2-22-2000020-2000-2200200000-20000000
χ1422-2220-20222-2002-2-22-20000-202000-2200-20000020000000
χ15444444441-211-2-2-2100-211-20000022002000-1-10000-1-10000
χ16444444441-211-2-2-2100-211-200000-2-200-2000110000110000
χ1744444444-21-2-2111-2001-2-2102222000000-1-10000-1-1000000
χ1844444444-21-2-2111-2001-2-210-2-2-2-200000011000011000000
χ1944444-44-41-21122-2100-2-1-12000002200-2000110000-1-10000
χ2044444-44-41-21122-2100-2-1-1200000-2-2002000-1-10000110000
χ2144444-44-4-21-2-2-1-11-200122-102-22-2000000-110000-11000000
χ2244444-44-4-21-2-2-1-11-200122-10-22-220000001-100001-1000000
χ2344-4440-40-21-22331200-100-302-2-22000000-1100001-1000000
χ2444-4440-40-21-22331200-100-30-222-20000001-10000-11000000
χ2544-4440-40-21-22-3-31200-1003022-2-2000000-1-1000011000000
χ2644-4440-40-21-22-3-31200-10030-2-222000000110000-1-1000000
χ274-404-40001-2-13−2i32i32-3000−i3i30000002-2000000−i3i300001-10000
χ284-404-40001-2-13−2i32i32-3000−i3i3000000-22000000i3−i30000-110000
χ294-404-40001-2-132i3−2i32-3000i3−i30000002-2000000i3−i300001-10000
χ304-404-40001-2-132i3−2i32-3000i3−i3000000-22000000−i3i30000-110000
χ314-404-400044-4000-40000000000002-2000000000000-220000
χ324-404-400044-4000-4000000000000-220000000000002-20000
χ33666-3-36-3-3000000002200002000000-1-10-100000000003−33−3
χ34666-3-36-3-3000000002200002000000-1-10-10000000000−33−33
χ35666-3-36-3-300000000-2-20000-200000011010000220000-1-1-1-1
χ36666-3-36-3-300000000-2-20000-200000011010000-2-200001111
χ37666-3-3-6-3300000000220000-2000000-1-10100000000003−3−33
χ38666-3-3-6-3300000000220000-2000000-1-1010000000000−333−3
χ39666-3-3-6-3300000000-2-200002000000110-100002-20000-1-111
χ40666-3-3-6-3300000000-2-200002000000110-10000-22000011-1-1
χ4188-8880-802-42-200-4-20040000000000000000000000000000
χ428-808-80002-4-2-600460000000000000000000000000000000
χ438-808-8000-4240−2i32i3-200002i3−2i300000000000000000000000000
χ448-808-8000-42402i3−2i3-20000−2i32i300000000000000000000000000
χ451212-12-6-6060000000004-400000000000-220000000000000000
χ461212-12-6-606000000000-44000000000002-20000000000000000
χ4724-240-1212000000000000000000000000000000000000000000

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