Finite Group Databasebeta

← Group #11922452

Character table — Group #11922452

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244666688812121212161616161618182424242424242424243232323648484848484872727272
order1234641222443612226123612121224446881212121212121246661224244488
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-111-1-11111111-1-1-1-1-1-1-1
χ31111111-11-111111-11111111-1-111111-1-111111-1-1-1-1111-1-1-1-1
χ41111111-11-111111-11111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-11111
χ511111-11111111-1-1-111111-1-1111-1-1-1111-1-11-1-1-11-1-11-111-1-11
χ611111-11111111-1-1-111111-1-111-11-11-111111-1-1-11-1-1-11-1-111-1
χ711111-11-11-1111-1-1111111-1-1-1-11-1-1-11-1-1-1-11-1-11-1111-11-111-1
χ811111-11-11-1111-1-1111111-1-1-1-1-11-11-1-1-1111-1-11-111-11-11-1-11
χ922222222222-1-122222-1-1-1-1-12200200-1-100-1-1-12-1-1-10000000
χ102222222-22-22-1-122-222-1-1-1-1-1-2-2002001100-1-1-1-21110000000
χ1122222-222222-1-1-2-2-222-1-1-1112200-200-1-100-111-2-1110000000
χ1222222-22-22-22-1-1-2-2222-1-1-111-2-200-2001100-11121-1-10000000
χ13222-220-22-2-2222000-2222-200-2200000-2-200-20002000000000
χ14222-220-22-2-22-1-1000-22-1-11−i3i3-220000011001−i3i30-1−i3i30000000
χ15222-220-22-2-22-1-1000-22-1-11i3−i3-220000011001i3−i30-1i3−i30000000
χ16222-220-2-2-22222000-2222-2002-2000002200-2000-2000000000
χ17222-220-2-2-222-1-1000-22-1-11−i3i32-200000-1-1001−i3i301i3−i30000000
χ18222-220-2-2-222-1-1000-22-1-11i3−i32-200000-1-1001i3−i301−i3i30000000
χ1922-12-12-1020222-120-1-1-1-12220022-12200-1-1-1-1-10000-1-1-10000
χ2022-12-12-1020222-120-1-1-1-122200-2-2-1-2-20011-1-1-100001110000
χ2122-12-1-2-10202221-20-1-1-1-12-2-2002-21-220011-1110000-11-10000
χ2222-12-1-2-10202221-20-1-1-1-12-2-200-2212-200-1-1-11100001-110000
χ2333333333-13-1003-13-1-100000-1-11-1-11-100-1-1000-100011-11-11-1
χ2433333333-13-1003-13-1-100000-1-1-11-1-110011000-1000-1-11-11-11
χ253333333-3-1-3-1003-1-3-1-100000111-1-11-100-1-1000100011-1-11-11
χ263333333-3-1-3-1003-1-3-1-10000011-11-1-1100110001000-1-111-11-1
χ2733333-333-13-100-31-3-1-100000-1-1111-1-1001100010001-1-111-1-1
χ2833333-333-13-100-31-3-1-100000-1-1-1-111100-1-10001000-111-1-111
χ2933333-33-3-1-3-100-313-1-10000011111-1-10011000-10001-1-1-1-111
χ3033333-33-3-1-3-100-313-1-10000011-1-111100-1-1000-1000-11111-1-1
χ3144-24-24-20404-2-2-240-2-211-2-2-20000-200000011100000000000
χ3244-24-2-4-20404-2-22-40-2-211-222000020000001-1-100000000000
χ3344-2-4-2020-404440002-2-2-2-4000000000000020000000000000
χ3444-2-4-2020-404-2-20002-2112−2i32i300000000000-1i3−i300000000000
χ3544-2-4-2020-404-2-20002-21122i3−2i300000000000-1−i3i300000000000
χ36666-660-662-6-2000002-2000002-200000000000000000000000
χ37666-660-6-626-2000002-200000-2200000000000000000000000
χ3866-36-36-30-20-200-3-201100000002-212-200110000000-1-110000
χ3966-36-36-30-20-200-3-20110000000-221-2200-1-1000000011-10000
χ4066-36-3-6-30-20-20032011000000022-1-2-200-1-10000000-1110000
χ4166-36-3-6-30-20-200320110000000-2-2-122001100000001-1-10000
χ428-880-80000002-2000002-2000000000023−230000000000000000
χ438-880-80000002-2000002-20000000000−23230000000000000000
χ448-880-8000000-4400000-440000000000000000000000000000
χ458-8-404000000-44000002-200000000000023−2300000000000000
χ468-8-404000000-44000002-2000000000000−232300000000000000
χ471212-6-12-606040-400000-22000000000000000000000000000000
χ4816-16-8080000004-400000-220000000000000000000000000000

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