Finite Group Databasebeta

← Group #11866942

Character table — Group #11866942

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order12223346666661212121244244466121212121212288882222664666666121212124424446612121212121228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111-1-1-1-11-1-1-1-1111111111111111111111-1-11111-1-1-1-11-1-1-1-1
χ31111111111111111111-1-111-1-1-1-111111-1-1-1-11111111111111111111-1-111-1-1-1-111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-2-22220-2-22-2-2200002-200000000000002i−2i002-2-22220-2-22-2-2200002-200000000000002i−2i00
χ122-2-22220-2-22-2-2200002-20000000000000−2i2i002-2-22220-2-22-2-2200002-20000000000000−2i2i00
χ132-2-22220-2-22-2-220000-220000000000000002-22-2-22220-2-22-2-220000-220000000000000002-2
χ142-2-22220-2-22-2-220000-22000000000000000-222-2-22220-2-22-2-220000-22000000000000000-22
χ1544441-241-2-21-21-2-2110000220000-1-1-1-10000044441-241-2-21-21-2-2110000220000-1-1-1-100000
χ1644441-241-2-21-21-2-2110000-2-2000011110000044441-241-2-21-21-2-2110000-2-20000111100000
χ1744441-2-41-2-21-2122-1-100002-20000-1-1110000044441-2-41-2-21-2122-1-100002-20000-1-11100000
χ1844441-2-41-2-21-2122-1-10000-22000011-1-10000044441-2-41-2-21-2122-1-10000-22000011-1-100000
χ194444-214-211-21-211-2-2002200-1-1-1-10000000004444-214-211-21-211-2-2002200-1-1-1-1000000000
χ204444-214-211-21-211-2-200-2-20011110000000004444-214-211-21-211-2-200-2-2001111000000000
χ214444-21-4-211-21-2-1-122002-200-1-1110000000004444-21-4-211-21-2-1-122002-200-1-111000000000
χ224444-21-4-211-21-2-1-12200-220011-1-10000000004444-21-4-211-21-2-1-12200-220011-1-1000000000
χ2344-4-444044-4-4-4-40000000000000000000000044-4-444044-4-4-4-400000000000000000000000
χ2444-4-4-210-21-12-123i−3i00000000−i3i33−300000000044-4-4-210-21-12-123i−3i00000000−i3i33−3000000000
χ2544-4-4-210-21-12-123i−3i00000000i3−i3−3300000000044-4-4-210-21-12-123i−3i00000000i3−i3−33000000000
χ2644-4-4-210-21-12-12−3i3i00000000−i3i3−3300000000044-4-4-210-21-12-12−3i3i00000000−i3i3−33000000000
χ2744-4-4-210-21-12-12−3i3i00000000i3−i33−300000000044-4-4-210-21-12-12−3i3i00000000i3−i33−3000000000
χ284-44-41-20-1221-2-1003i−3i0000000000−i3i33−3000004-44-41-20-1221-2-1003i−3i0000000000−i3i33−300000
χ294-44-41-20-1221-2-1003i−3i0000000000i3−i3−33000004-44-41-20-1221-2-1003i−3i0000000000i3−i3−3300000
χ304-44-41-20-1221-2-100−3i3i0000000000−i3i3−33000004-44-41-20-1221-2-100−3i3i0000000000−i3i3−3300000
χ314-44-41-20-1221-2-100−3i3i0000000000i3−i33−3000004-44-41-20-1221-2-100−3i3i0000000000i3−i33−300000
χ324-44-4440-4-4-444-4000000000000000000000004-44-4440-4-4-444-400000000000000000000000
χ3388-8-82-402-44-24-20000000000000000000000088-8-82-402-44-24-200000000000000000000000
χ348-88-8-4204-2-2-424000000000000000000000008-88-8-4204-2-2-42400000000000000000000000
χ358-8-882-40-24-4-242000000000000000000000008-8-882-40-24-4-24200000000000000000000000
χ368-8-88-4204-224-2-4000000000000000000000008-8-88-4204-224-2-400000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ38111111111111111111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111
χ391111111111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11111
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1
χ41111111-1111111-1-1-1-1111-11-111-1-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-11-1-111-1-1111-1-111
χ42111111-1111111-1-1-1-1111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1111-1-1
χ43111111-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111111-1-1
χ44111111-1111111-1-1-1-111-11-11-1-111-1-111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-11-111-1-111-1-11-1-111
χ4522222222222222222-2-2000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000000020000
χ46222222-2222222-2-2-2-2-2-200000000000020000-2-2-2-2-2-22-2-2-2-2-2-2222222000000000000-20000
χ472-2-22220-2-22-2-2200002-200000000000002i−2i00-222-2-2-2022-222-20000-220000000000000−2i2i00
χ482-2-22220-2-22-2-2200002-20000000000000−2i2i00-222-2-2-2022-222-20000-2200000000000002i−2i00
χ492-2-22220-2-22-2-220000-220000000000000002-2-222-2-2-2022-222-200002-2000000000000000-22
χ502-2-22220-2-22-2-220000-22000000000000000-22-222-2-2-2022-222-200002-20000000000000002-2
χ5144441-241-2-21-21-2-2110000220000-1-1-1-100000-4-4-4-4-12-4-122-12-122-1-10000-2-20000111100000
χ5244441-241-2-21-21-2-2110000-2-20000111100000-4-4-4-4-12-4-122-12-122-1-10000220000-1-1-1-100000
χ5344441-2-41-2-21-2122-1-100002-20000-1-11100000-4-4-4-4-124-122-12-1-2-2110000-22000011-1-100000
χ5444441-2-41-2-21-2122-1-10000-22000011-1-100000-4-4-4-4-124-122-12-1-2-21100002-20000-1-11100000
χ554444-214-211-21-211-2-2002200-1-1-1-1000000000-4-4-4-42-1-42-1-12-12-1-12200-2-2001111000000000
χ564444-214-211-21-211-2-200-2-2001111000000000-4-4-4-42-1-42-1-12-12-1-122002200-1-1-1-1000000000
χ574444-21-4-211-21-2-1-122002-200-1-111000000000-4-4-4-42-142-1-12-1211-2-200-220011-1-1000000000
χ584444-21-4-211-21-2-1-12200-220011-1-1000000000-4-4-4-42-142-1-12-1211-2-2002-200-1-111000000000
χ5944-4-444044-4-4-4-400000000000000000000000-4-444-4-40-4-4444400000000000000000000000
χ6044-4-4-210-21-12-123i−3i00000000−i3i33−3000000000-4-4442-102-11-21-2−3i3i00000000i3−i3−33000000000
χ6144-4-4-210-21-12-123i−3i00000000i3−i3−33000000000-4-4442-102-11-21-2−3i3i00000000−i3i33−3000000000
χ6244-4-4-210-21-12-12−3i3i00000000−i3i3−33000000000-4-4442-102-11-21-23i−3i00000000i3−i33−3000000000
χ6344-4-4-210-21-12-12−3i3i00000000i3−i33−3000000000-4-4442-102-11-21-23i−3i00000000−i3i3−33000000000
χ644-44-41-20-1221-2-1003i−3i0000000000−i3i33−300000-44-44-1201-2-2-12100−3i3i0000000000i3−i3−3300000
χ654-44-41-20-1221-2-1003i−3i0000000000i3−i3−3300000-44-44-1201-2-2-12100−3i3i0000000000−i3i33−300000
χ664-44-41-20-1221-2-100−3i3i0000000000−i3i3−3300000-44-44-1201-2-2-121003i−3i0000000000i3−i33−300000
χ674-44-41-20-1221-2-100−3i3i0000000000i3−i33−300000-44-44-1201-2-2-121003i−3i0000000000−i3i3−3300000
χ684-44-4440-4-4-444-400000000000000000000000-44-44-4-40444-4-4400000000000000000000000
χ6988-8-82-402-44-24-200000000000000000000000-8-888-240-24-42-4200000000000000000000000
χ708-88-8-4204-2-2-42400000000000000000000000-88-884-20-4224-2-400000000000000000000000
χ718-8-882-40-24-4-24200000000000000000000000-888-8-2402-442-4-200000000000000000000000
χ728-8-88-4204-224-2-400000000000000000000000-888-84-20-42-2-42400000000000000000000000

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