Finite Group Databasebeta

← Group #11923057

Character table — Group #11923057

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order122234466622224412121212121244666633366666666644121212121212121212121212121212121212121212121212444444442244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111111111-1-1-111-1-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-11-1
χ611111-1-111111111-1-1-111-1-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-11-11
χ711111-1-11111111-11-1-1-1-111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11-11
χ811111-1-11111111-11-1-1-1-111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-11-1
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222222222-2-222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ1122222-2-222222222-2-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-222-2-2111111-1-1-1-1-1-1111111000000000000
χ1222222-2-22222222-22-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-222111111111111-1-1-1-1-1-1000000000000
χ132222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ142222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1000000000000
χ152222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122000000000000
χ162222-122-1-1-12222-2-2-1-1111122-1-1-1-12-1-122-1-1-1-12-1-1-2-2-1-1111122-1-1-1-1-2-21111-2-21111000000000000
χ172222-122-1-1-12222-2-2-1-1111122-1-1-1-1-12-1-1-122-1-1-12-1-2-2-1-11111-1-122-1-111-2-21111-2-211000000000000
χ182222-122-1-1-12222-2-2-1-1111122-1-1-1-1-1-12-1-1-1-122-1-12-2-2-1-11111-1-1-1-1221111-2-21111-2-2000000000000
χ192222-1-2-2-1-1-122222-211-1-111-2-2-1-1-1-12-1-122-1-1-1-12-1-12-211-1-111-2-2111122-1-1-1-1-2-21111000000000000
χ202222-1-2-2-1-1-122222-211-1-111-2-2-1-1-1-1-12-1-1-122-1-1-12-12-211-1-11111-2-211-1-122-1-111-2-211000000000000
χ212222-1-2-2-1-1-122222-211-1-111-2-2-1-1-1-1-1-12-1-1-1-122-1-122-211-1-1111111-2-2-1-1-1-1221111-2-2000000000000
χ222222-1-2-2-1-1-12222-221111-1-1-2-2-1-1-1-12-1-122-1-1-1-12-1-1-221111-1-1-2-21111-2-2111122-1-1-1-1000000000000
χ232222-1-2-2-1-1-12222-221111-1-1-2-2-1-1-1-1-12-1-1-122-1-1-12-1-221111-1-111-2-21111-2-211-1-122-1-1000000000000
χ242222-1-2-2-1-1-12222-221111-1-1-2-2-1-1-1-1-1-12-1-1-1-122-1-12-221111-1-11111-2-21111-2-2-1-1-1-122000000000000
χ2522-2-222-2-2-222-2-22002-200002-222-2-2222-2-2-2-2-2-2222002-200002-22-22-2000000000000000000000000
χ2622-2-222-2-2-222-2-22002-200002-222-2-2-1-1-1111111-1-1-1002-20000-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000
χ2722-2-222-2-2-222-2-22002-200002-222-2-2-1-1-1111111-1-1-1002-20000-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000
χ2822-2-22-22-2-222-2-2200-220000-2222-2-2222-2-2-2-2-2-222200-220000-22-22-22000000000000000000000000
χ2922-2-22-22-2-222-2-2200-220000-2222-2-2-1-1-1111111-1-1-100-2200001-11-11-1−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3000000000000
χ3022-2-22-22-2-222-2-2200-220000-2222-2-2-1-1-1111111-1-1-100-2200001-11-11-1i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3000000000000
χ3122-2-2-12-211-12-2-2200-11−i3i3−i3i32-2-1-1112-1-1-2-211112-1-100-11−i3i3−i3i32-2-11-1100−i3i3i3−i300−i3i3i3−i3000000000000
χ3222-2-2-12-211-12-2-2200-11−i3i3−i3i32-2-1-111-12-111-2-211-12-100-11−i3i3−i3i3-112-2-11i3−i300−i3i3i3−i300−i3i3000000000000
χ3322-2-2-12-211-12-2-2200-11−i3i3−i3i32-2-1-111-1-121111-2-2-1-1200-11−i3i3−i3i3-11-112-2−i3i3i3−i300−i3i3i3−i300000000000000
χ3422-2-2-12-211-12-2-2200-11i3−i3i3−i32-2-1-1112-1-1-2-211112-1-100-11i3−i3i3−i32-2-11-1100i3−i3−i3i300i3−i3−i3i3000000000000
χ3522-2-2-12-211-12-2-2200-11i3−i3i3−i32-2-1-111-12-111-2-211-12-100-11i3−i3i3−i3-112-2-11−i3i300i3−i3−i3i300i3−i3000000000000
χ3622-2-2-12-211-12-2-2200-11i3−i3i3−i32-2-1-111-1-121111-2-2-1-1200-11i3−i3i3−i3-11-112-2i3−i3−i3i300i3−i3−i3i300000000000000
χ3722-2-2-1-2211-12-2-22001-1−i3i3i3−i3-22-1-1112-1-1-2-211112-1-1001-1−i3i3i3−i3-221-11-100−i3i3i3−i300i3−i3−i3i3000000000000
χ3822-2-2-1-2211-12-2-22001-1−i3i3i3−i3-22-1-111-12-111-2-211-12-1001-1−i3i3i3−i31-1-221-1i3−i300−i3i3−i3i300i3−i3000000000000
χ3922-2-2-1-2211-12-2-22001-1−i3i3i3−i3-22-1-111-1-121111-2-2-1-12001-1−i3i3i3−i31-11-1-22−i3i3i3−i300i3−i3−i3i300000000000000
χ4022-2-2-1-2211-12-2-22001-1i3−i3−i3i3-22-1-1112-1-1-2-211112-1-1001-1i3−i3−i3i3-221-11-100i3−i3−i3i300−i3i3i3−i3000000000000
χ4122-2-2-1-2211-12-2-22001-1i3−i3−i3i3-22-1-111-12-111-2-211-12-1001-1i3−i3−i3i31-1-221-1−i3i300i3−i3i3−i300−i3i3000000000000
χ4222-2-2-1-2211-12-2-22001-1i3−i3−i3i3-22-1-111-1-121111-2-2-1-12001-1i3−i3−i3i31-11-1-22i3−i3−i3i300−i3i3i3−i300000000000000
χ432-22-22002-2-2-22-2200000000002-22-22222-22-22-2-2-2-200000000000000000000000000002i−2i002i−2i0000
χ442-22-22002-2-2-22-2200000000002-22-22222-22-22-2-2-2-20000000000000000000000000000−2i2i00−2i2i0000
χ452-2-22200-22-2-2-22200000000002-2-22222-22-22-22-2-2-2000000000000000000000000002i−2i002i−2i000000
χ462-2-22200-22-2-2-22200000000002-2-22222-22-22-22-2-2-200000000000000000000000000−2i2i00−2i2i000000
χ473333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111-1-1
χ483333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-111
χ493333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-111110000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-11111000000000000000000-1-1-1-1111111-1-1
χ5133333-3-3333-1-1-1-13-3-3-333-3-311-1-1-1-1000000000000-1111-1-11100000000000000000011-1-1-1-1111-1-11
χ5233333-3-3333-1-1-1-13-3-3-333-3-311-1-1-1-1000000000000-1111-1-111000000000000000000-1-11111-1-1-111-1
χ5333333-3-3333-1-1-1-1-33-3-3-3-33311-1-1-1-10000000000001-11111-1-100000000000000000011-1-1-1-111-111-1
χ5433333-3-3333-1-1-1-1-33-3-3-3-33311-1-1-1-10000000000001-11111-1-1000000000000000000-1-11111-1-11-1-11
χ554-44-44004-4-4-44-4400000000004-44-4-2-2-2-22-22-2222200000000000000000000000000000000000000
χ564-44-4-200-222-44-440000000000-22-224-2-24-4-22-22-42200000000000000000000000000000000000000
χ574-44-4-200-222-44-440000000000-22-22-24-2-224-4-222-4200000000000000000000000000000000000000
χ584-44-4-200-222-44-440000000000-22-22-2-24-22-224-422-400000000000000000000000000000000000000
χ594-4-44400-44-4-4-44400000000004-4-44-2-2-22-22-22-222200000000000000000000000000000000000000
χ604-4-44-2002-22-4-4440000000000-222-24-2-2-442-22-2-42200000000000000000000000000000000000000
χ614-4-44-2002-22-4-4440000000000-222-2-24-22-2-442-22-4200000000000000000000000000000000000000
χ624-4-44-2002-22-4-4440000000000-222-2-2-242-22-2-4422-400000000000000000000000000000000000000
χ636666-366-3-3-3-2-2-2-266-3-3-3-3-3-3-2-21111000000000000-2-2111111000000000000000000000000000000
χ646666-366-3-3-3-2-2-2-2-6-6-3-33333-2-211110000000000002211-1-1-1-1000000000000000000000000000000
χ656666-3-6-6-3-3-3-2-2-2-26-633-3-333221111000000000000-22-1-111-1-1000000000000000000000000000000
χ666666-3-6-6-3-3-3-2-2-2-2-663333-3-32211110000000000002-2-1-1-1-111000000000000000000000000000000
χ6766-6-666-6-6-66-222-2006-60000-22-2-22200000000000000-220000000000000000000000000000000000
χ6866-6-66-66-6-66-222-200-6600002-2-2-222000000000000002-20000000000000000000000000000000000
χ6966-6-6-36-633-3-222-200-33−3i33i3−3i33i3-2211-1-1000000000000001-1i3−i3i3−i3000000000000000000000000000000
χ7066-6-6-36-633-3-222-200-333i3−3i33i3−3i3-2211-1-1000000000000001-1−i3i3−i3i3000000000000000000000000000000
χ7166-6-6-3-6633-3-222-2003-3−3i33i33i3−3i32-211-1-100000000000000-11i3−i3−i3i3000000000000000000000000000000
χ7266-6-6-3-6633-3-222-2003-33i3−3i3−3i33i32-211-1-100000000000000-11−i3i3i3−i3000000000000000000000000000000
χ736-66-66006-6-62-22-20000000000-22-2200000000000000000000000000000000000000002i−2i00−2i2i0000
χ746-66-66006-6-62-22-20000000000-22-220000000000000000000000000000000000000000−2i2i002i−2i0000
χ756-6-66600-66-622-2-20000000000-222-2000000000000000000000000000000000000002i−2i00−2i2i000000
χ766-6-66600-66-622-2-20000000000-222-200000000000000000000000000000000000000−2i2i002i−2i000000
χ7712-1212-12-600-6664-44-400000000002-22-200000000000000000000000000000000000000000000000000
χ7812-12-1212-6006-6644-4-400000000002-2-2200000000000000000000000000000000000000000000000000

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