Finite Group Databasebeta

← Group #11792174

Character table — Group #11792174

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444448888888888812121212181818182424242424242424242424242424484848487272727272
order12222233666666666626666666666444444442444441212121212121212612121228888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-111-111111111-1-1-1-11-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-1-1-1-1-111-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-111-1-1
χ6111111111111111111-1-1-1-1-111-1-1-1-111111111-111-1-1-11111-1-1-1-1-1-111-1-1-111
χ7111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-1-111
χ8111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-11111-1-111-111-1-1
χ9222222222222222222222222222220000-2-2-2-2000000000000000000-20000
χ10222222222222222222-2-2-2-2-222-2-2-2-20000-2-2-2-200000000000000000020000
χ112222-2-22222-2-2-22222-200000-2-2000000002-22-202-200000000000002-200000
χ122222-2-22222-2-2-22222-200000-2-2000000002-22-20-220000000000000-2200000
χ132222-2-22222-2-2-22222-200000-2-200000000-22-2220000-2000000002-20000000
χ142222-2-22222-2-2-22222-200000-2-200000000-22-22-20000200000000-220000000
χ152-2-222-222-2-222-22-2-22-2000002-20000000022-2-200000000000000000002i−2i00
χ162-2-222-222-2-222-22-2-22-2000002-20000000022-2-20000000000000000000−2i2i00
χ172-2-222-222-2-222-22-2-22-2000002-200000000-2-2220000000000000000000002-2
χ182-2-222-222-2-222-22-2-22-2000002-200000000-2-222000000000000000000000-22
χ192-2-22-2222-2-2-2-222-2-22200000-22000000002-2-220002-20000022-2-2000000000
χ202-2-22-2222-2-2-2-222-2-22200000-22000000002-2-22000-2200000-2-222000000000
χ212-2-22-2222-2-2-2-222-2-22200000-22000022-2-2-222-200000022-2-20000000000000
χ222-2-22-2222-2-2-2-222-2-22200000-220000-2-222-222-2000000-2-2220000000000000
χ234444441-211111-2-2-21141111-2-2-2-2-2-222220000000220-1-1-1-1-1-1-1-1000000000
χ244444441-211111-2-2-21141111-2-2-2-2-2-2-2-2-2-20000000-2-2011111111000000000
χ254444441-211111-2-2-211-4-1-1-1-1-2-2222222220000000-2-20-1-1-1-11111000000000
χ264444441-211111-2-2-211-4-1-1-1-1-2-22222-2-2-2-200000002201111-1-1-1-1000000000
χ27444444-21-2-2-2-2-2111-2-24-2-2-2-21111110000000022200200000000-1-1-1-100000
χ28444444-21-2-2-2-2-2111-2-24-2-2-2-211111100000000-2-2-200-200000000111100000
χ29444444-21-2-2-2-2-2111-2-2-4222211-1-1-1-1000000002-2-200200000000-1-11100000
χ30444444-21-2-2-2-2-2111-2-2-4222211-1-1-1-100000000-22200-20000000011-1-100000
χ314444-4-4-21-2-2222111-2200000-1-133-3-30000000022-200-200000000-11-1100000
χ324444-4-4-21-2-2222111-2200000-1-133-3-300000000-2-22002000000001-11-100000
χ334444-4-4-21-2-2222111-2200000-1-1-3-333000000002-2200-200000000-111-100000
χ344444-4-4-21-2-2222111-2200000-1-1-3-33300000000-22-2002000000001-1-1100000
χ3544-4-4001-21-13-3-322-2-130−i3−i3i3i30000−2i32i32i−2i2i−2i0000000000i−ii−i3−33−3000000000
χ3644-4-4001-21-13-3-322-2-130−i3−i3i3i30000−2i32i3−2i2i−2i2i0000000000−ii−ii−33−33000000000
χ3744-4-4001-21-13-3-322-2-130i3i3−i3−i300002i3−2i32i−2i2i−2i0000000000i−ii−i−33−33000000000
χ3844-4-4001-21-13-3-322-2-130i3i3−i3−i300002i3−2i3−2i2i−2i2i0000000000−ii−ii3−33−3000000000
χ3944-4-400444-4000-4-44-40000000000002i−2i2i−2i0000000000−2i2i−2i2i0000000000000
χ4044-4-400444-4000-4-44-4000000000000−2i2i−2i2i00000000002i−2i2i−2i0000000000000
χ414-44-4001-2-11-33-32-22-130−i3i3−i3i300−2i32i3002i−2i−2i2i0000000000i−i−ii3−3−33000000000
χ424-44-4001-2-11-33-32-22-130−i3i3−i3i300−2i32i300−2i2i2i−2i0000000000−iii−i−333−3000000000
χ434-44-4001-2-11-33-32-22-130i3−i3i3−i3002i3−2i3002i−2i−2i2i0000000000i−i−ii−333−3000000000
χ444-44-4001-2-11-33-32-22-130i3−i3i3−i3002i3−2i300−2i2i2i−2i0000000000−iii−i3−3−33000000000
χ454-44-40044-44000-44-4-40000000000002i−2i−2i2i0000000000−2i2i2i−2i0000000000000
χ464-44-40044-44000-44-4-4000000000000−2i2i2i−2i00000000002i−2i−2i2i0000000000000
χ474-4-44-441-2-1-1-1-11-2221103-3-332-2000022-2-20000000-220-1-11111-1-1000000000
χ484-4-44-441-2-1-1-1-11-2221103-3-332-20000-2-22200000002-2011-1-1-1-111000000000
χ494-4-44-441-2-1-1-1-11-222110-333-32-2000022-2-200000002-20-1-111-1-111000000000
χ504-4-44-441-2-1-1-1-11-222110-333-32-20000-2-2220000000-22011-1-111-1-1000000000
χ518888-8-82-422-2-2-2-4-4-42-2000004400000000000000000000000000000000000
χ5288-8-8002-42-2-66644-4-2-6000000000000000000000000000000000000000000
χ5388-8-800-42-44000-2-22400−2i3−2i32i32i300002i3−2i30000000000000000000000000000000
χ5488-8-800-42-44000-2-224002i32i3−2i3−2i30000−2i32i30000000000000000000000000000000
χ558-88-8002-4-226-664-44-2-6000000000000000000000000000000000000000000
χ568-88-800-424-4000-22-2400−2i32i3−2i32i3002i3−2i3000000000000000000000000000000000
χ578-88-800-424-4000-22-24002i3−2i32i3−2i300−2i32i3000000000000000000000000000000000
χ588-8-888-82-4-2-222-2-4442-200000-4400000000000000000000000000000000000
χ598-8-888-8-4244-4-442-2-2-44000002-200000000000000000000000000000000000
χ608-8-88-88-424444-42-2-2-4-400000-2200000000000000000000000000000000000

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