Finite Group Databasebeta

← Group #11796458

Character table — Group #11796458

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11244444444444448888888888888991616161616161616183636363636727272727272727272
order1223344444666666212121212121212121212121222666612121212244444288888888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111111111-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111-1-111111111-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-111-1-111-1-1
χ611111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-111-1-111
χ711111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11ii−i−i−i−iii
χ811111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11−i−iiiii−i−i
χ9111111-1-111111111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1i−ii−ii−ii−i
χ10111111-1-111111111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1−ii−ii−ii−ii
χ11111111-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-11
χ12111111-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-11-1
χ13111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11i−i−iii−i−ii
χ14111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11−iii−i−iii−i
χ15111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-1-11-111-1
χ16111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-11-1-11
χ1722222-22-200222222000000000-2-2-2-222000022-2-22-2002-2000000000
χ1822222-22-200222222000000000-2-2-2-2-2-2000022-2-2-2200-22000000000
χ1922222-2-2200222222000000000-2-2-2-2220000-2-2222-200-22000000000
χ2022222-2-2200222222000000000-2-2-2-2-2-20000-2-222-22002-2000000000
χ214441-24444411-2-21-241111-2-2-2-211-2-20011-2-21-21-2000000000000000
χ224441-2444-4-411-2-21-2-4-1-1-1-1222211-2-200-1-1221-21-2000000000000000
χ234441-24-4-44411-2-21-2-41111-2-2-2-211-2-200-1-122-12-12000000000000000
χ244441-24-4-4-4-411-2-21-24-1-1-1-1222211-2-20011-2-2-12-12000000000000000
χ254441-2-44-40011-2-21-2033-3-30000-1-122003-3001-2-12000000000000000
χ264441-2-44-40011-2-21-20-3-3330000-1-12200-33001-2-12000000000000000
χ274441-2-4-440011-2-21-2033-3-30000-1-12200-3300-121-2000000000000000
χ284441-2-4-440011-2-21-20-3-3330000-1-122003-300-121-2000000000000000
χ29444-2144444-2-211-214-2-2-2-21111-2-21100-2-211-21-21000000000000000
χ30444-21444-4-4-2-211-21-42222-1-1-1-1-2-2110022-1-1-21-21000000000000000
χ31444-214-4-444-2-211-21-4-2-2-2-21111-2-2110022-1-12-12-1000000000000000
χ32444-214-4-4-4-4-2-211-2142222-1-1-1-1-2-21100-2-2112-12-1000000000000000
χ33444-21-44-400-2-211-210000033-3-322-1-100003-3-212-1000000000000000
χ34444-21-44-400-2-211-2100000-3-33322-1-10000-33-212-1000000000000000
χ35444-21-4-4400-2-211-210000033-3-322-1-10000-332-1-21000000000000000
χ36444-21-4-4400-2-211-2100000-3-33322-1-100003-32-1-21000000000000000
χ3744-44400000-4-4-4-44400000000000004400000000-400000000000000
χ3844-44400000-4-4-4-4440000000000000-4-400000000400000000000000
χ394-40440002i−2i0000-4-402i−2i2i−2i2i−2i2i−2i00004-400000000002i−2i00000000000
χ404-40440002i−2i0000-4-402i−2i2i−2i2i−2i2i−2i0000-440000000000−2i2i00000000000
χ414-4044000−2i2i0000-4-40−2i2i−2i2i−2i2i−2i2i00004-40000000000−2i2i00000000000
χ424-4044000−2i2i0000-4-40−2i2i−2i2i−2i2i−2i2i0000-4400000000002i−2i00000000000
χ4388-82-400000-2-2442-40000000006-6000000000000000000000000000
χ4488-82-400000-2-2442-4000000000-66000000000000000000000000000
χ4588-8-420000044-2-2-42000000000006-60000000000000000000000000
χ4688-8-420000044-2-2-4200000000000-660000000000000000000000000
χ478-802-40004i−4i6-600-2404i−4i−2i2i−2i2i−2i2i00000000000000000000000000000
χ488-802-40004i−4i-6600-240−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000
χ498-802-4000−4i4i6-600-240−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000
χ508-802-4000−4i4i-6600-2402i−2i−4i4i2i−2i2i−2i00000000000000000000000000000
χ518-80-420004i−4i006-64-20−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000
χ528-80-420004i−4i00-664-20−2i2i−2i2i−2i2i4i−4i00000000000000000000000000000
χ538-80-42000−4i4i006-64-202i−2i2i−2i−4i4i2i−2i00000000000000000000000000000
χ548-80-42000−4i4i00-664-202i−2i2i−2i2i−2i−4i4i00000000000000000000000000000

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