Finite Group Databasebeta

← Group #11873626

Character table — Group #11873626

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order122233466666612121212444444121212121212121248888222266466666612121212444444121212121212121248888
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
χ5111111-1111111-1-1-1-1111-11-1-1-11111-1-1-111-1-1111111-1111111-1-1-1-1111-11-1-1-11111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111
χ7111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-11-1111-1-1-1-111-111-1-1111111-1111111-1-1-1-111-11-1111-1-1-1-111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-2-222202-2-2-2-2200002-20000000000000002i−2i2-2-222202-2-2-2-2200002-20000000000000002i−2i
χ122-2-222202-2-2-2-2200002-2000000000000000−2i2i2-2-222202-2-2-2-2200002-2000000000000000−2i2i
χ132-2-222202-2-2-2-220000-2200000000000002i−2i002-2-222202-2-2-2-220000-2200000000000002i−2i00
χ142-2-222202-2-2-2-220000-220000000000000−2i2i002-2-222202-2-2-2-220000-220000000000000−2i2i00
χ1544441-241-2-211-2-2-211002200-1-1-1-100000000044441-241-2-211-2-2-211002200-1-1-1-1000000000
χ1644441-241-2-211-2-2-21100-2-200111100000000044441-241-2-211-2-2-21100-2-2001111000000000
χ1744441-2-41-2-211-222-1-1002-20011-1-100000000044441-2-41-2-211-222-1-1002-20011-1-1000000000
χ1844441-2-41-2-211-222-1-100-2200-1-11100000000044441-2-41-2-211-222-1-100-2200-1-111000000000
χ194444-214-211-2-2111-2-20000220000-1-1-1-1000004444-214-211-2-2111-2-20000220000-1-1-1-100000
χ204444-214-211-2-2111-2-20000-2-200001111000004444-214-211-2-2111-2-20000-2-20000111100000
χ214444-21-4-211-2-21-1-12200002-20000-1-111000004444-21-4-211-2-21-1-12200002-20000-1-11100000
χ224444-21-4-211-2-21-1-1220000-22000011-1-1000004444-21-4-211-2-21-1-1220000-22000011-1-100000
χ2344-4-4440-4-44-44-40000000000000000000000044-4-4440-4-44-44-400000000000000000000000
χ2444-4-4-2102-112-2-13-30000000000003−33−30000044-4-4-2102-112-2-13-30000000000003−33−300000
χ2544-4-4-2102-112-2-13-3000000000000−33−330000044-4-4-2102-112-2-13-3000000000000−33−3300000
χ2644-4-4-2102-112-2-1-330000000000003−3−330000044-4-4-2102-112-2-1-330000000000003−3−3300000
χ2744-4-4-2102-112-2-1-33000000000000−333−30000044-4-4-2102-112-2-1-33000000000000−333−300000
χ284-44-41-20-1-221-12003i−3i000000−i3i33−30000000004-44-41-20-1-221-12003i−3i000000−i3i33−3000000000
χ294-44-41-20-1-221-12003i−3i000000i3−i3−330000000004-44-41-20-1-221-12003i−3i000000i3−i3−33000000000
χ304-44-41-20-1-221-1200−3i3i000000−i3i3−330000000004-44-41-20-1-221-1200−3i3i000000−i3i3−33000000000
χ314-44-41-20-1-221-1200−3i3i000000i3−i33−30000000004-44-41-20-1-221-1200−3i3i000000i3−i33−3000000000
χ324-44-4440-44-44-4-4000000000000000000000004-44-4440-44-44-4-400000000000000000000000
χ3388-8-82-40-24-4-2240000000000000000000000088-8-82-40-24-4-22400000000000000000000000
χ348-88-8-42042-2-44-2000000000000000000000008-88-8-42042-2-44-200000000000000000000000
χ358-8-882-40244-2-2-4000000000000000000000008-8-882-40244-2-2-400000000000000000000000
χ368-8-88-420-4-2-2442000000000000000000000008-8-88-420-4-2-244200000000000000000000000
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
χ41111111-1111111-1-1-1-1111-11-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-1111-1-1-1-1111-1-111
χ42111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-111-111-1-111-1-1111-1-1
χ43111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-1-11-1-111-1-111111-1-1
χ44111111-1111111-1-1-1-111-11-1111-1-1-1-111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-11-1-1-11111-1-11-1-111
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
χ472-2-222202-2-2-2-2200002-20000000000000002i−2i-222-2-2-20-22222-20000-22000000000000000−2i2i
χ482-2-222202-2-2-2-2200002-2000000000000000−2i2i-222-2-2-20-22222-20000-220000000000000002i−2i
χ492-2-222202-2-2-2-220000-2200000000000002i−2i00-222-2-2-20-22222-200002-20000000000000−2i2i00
χ502-2-222202-2-2-2-220000-220000000000000−2i2i00-222-2-2-20-22222-200002-200000000000002i−2i00
χ5144441-241-2-211-2-2-211002200-1-1-1-1000000000-4-4-4-4-12-4-122-1-1222-1-100-2-2001111000000000
χ5244441-241-2-211-2-2-21100-2-2001111000000000-4-4-4-4-12-4-122-1-1222-1-1002200-1-1-1-1000000000
χ5344441-2-41-2-211-222-1-1002-20011-1-1000000000-4-4-4-4-124-122-1-12-2-21100-2200-1-111000000000
χ5444441-2-41-2-211-222-1-100-2200-1-111000000000-4-4-4-4-124-122-1-12-2-211002-20011-1-1000000000
χ554444-214-211-2-2111-2-20000220000-1-1-1-100000-4-4-4-42-1-42-1-122-1-1-1220000-2-20000111100000
χ564444-214-211-2-2111-2-20000-2-20000111100000-4-4-4-42-1-42-1-122-1-1-1220000220000-1-1-1-100000
χ574444-21-4-211-2-21-1-12200002-20000-1-11100000-4-4-4-42-142-1-122-111-2-20000-22000011-1-100000
χ584444-21-4-211-2-21-1-1220000-22000011-1-100000-4-4-4-42-142-1-122-111-2-200002-20000-1-11100000
χ5944-4-4440-4-44-44-400000000000000000000000-4-444-4-4044-44-4400000000000000000000000
χ6044-4-4-2102-112-2-13-30000000000003−33−300000-4-4442-10-21-1-221-33000000000000−33−3300000
χ6144-4-4-2102-112-2-13-3000000000000−33−3300000-4-4442-10-21-1-221-330000000000003−33−300000
χ6244-4-4-2102-112-2-1-330000000000003−3−3300000-4-4442-10-21-1-2213-3000000000000−333−300000
χ6344-4-4-2102-112-2-1-33000000000000−333−300000-4-4442-10-21-1-2213-30000000000003−3−3300000
χ644-44-41-20-1-221-12003i−3i000000−i3i33−3000000000-44-44-12012-2-11-200−3i3i000000i3−i3−33000000000
χ654-44-41-20-1-221-12003i−3i000000i3−i3−33000000000-44-44-12012-2-11-200−3i3i000000−i3i33−3000000000
χ664-44-41-20-1-221-1200−3i3i000000−i3i3−33000000000-44-44-12012-2-11-2003i−3i000000i3−i33−3000000000
χ674-44-41-20-1-221-1200−3i3i000000i3−i33−3000000000-44-44-12012-2-11-2003i−3i000000−i3i3−33000000000
χ684-44-4440-44-44-4-400000000000000000000000-44-44-4-404-44-44400000000000000000000000
χ6988-8-82-40-24-4-22400000000000000000000000-8-888-2402-442-2-400000000000000000000000
χ708-88-8-42042-2-44-200000000000000000000000-88-884-20-4-224-4200000000000000000000000
χ718-8-882-40244-2-2-400000000000000000000000-888-8-240-2-4-422400000000000000000000000
χ728-8-88-420-4-2-244200000000000000000000000-888-84-20422-4-4-200000000000000000000000

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