Finite Group Databasebeta

← Group #11792257

Character table — Group #11792257

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444448888888888812121212181818182424242424242424242424242424484848487272727272
order12222233666666666646612121212121212124444444422224466661212121266121248888
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-111-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-1-111111-11-1-111-1-1
χ6111111111111111111-111-1-1-1-1-1-1-1-111111111-1-1-11-11-1-1-1-11111-11-11-1-1-111
χ7111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-11-11-1-1-1-111
χ8111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111111-1-1-1-1-11-11-111-1-1
χ9222222222222222222222222222220000-2-2-2-2000000000000000000-20000
χ10222222222222222222-222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000020000
χ112222-2-222222-2-2-2222-20-2-20000000000002-22-200020-200000000020-200000
χ122222-2-222222-2-2-2222-20-2-20000000000002-22-2000-202000000000-20200000
χ132222-2-222222-2-2-2222-20-2-2000000000000-22-220020-200000000020-2000000
χ142222-2-222222-2-2-2222-20-2-2000000000000-22-2200-202000000000-202000000
χ152-2-222-2222-2-222-2-2-22-202-2000000000000-2-2222-2000022-2-20000000000000
χ162-2-222-2222-2-222-2-2-22-202-2000000000000-2-222-220000-2-2220000000000000
χ172-2-222-2222-2-222-2-2-22-202-2000000002i2i−2i−2i22-2-200000000002i2i−2i−2i000000000
χ182-2-222-2222-2-222-2-2-22-202-200000000−2i−2i2i2i22-2-20000000000−2i−2i2i2i000000000
χ192-2-22-22222-2-2-2-22-2-2220-220000000000002-2-220000000000000000000002-2
χ202-2-22-22222-2-2-2-22-2-2220-220000000000002-2-22000000000000000000000-22
χ212-2-22-22222-2-2-2-22-2-2220-22000000000000-222-200000000000000000002-200
χ222-2-22-22222-2-2-2-22-2-2220-22000000000000-222-20000000000000000000-2200
χ234444441-211-21111-2-214-2-21111-2-2-2-222220000220000-1-1-1-1-1-1-1-1000000000
χ244444441-211-21111-2-214-2-21111-2-2-2-2-2-2-2-20000-2-2000011111111000000000
χ254444441-211-21111-2-21-4-2-2-1-1-1-1222222220000-2-200001111-1-1-1-1000000000
χ264444441-211-21111-2-21-4-2-2-1-1-1-12222-2-2-2-20000220000-1-1-1-11111000000000
χ27444444-21-2-21-2-2-2-211-2411-2-2-2-211110000000000222200000000-1-1-1-100000
χ28444444-21-2-21-2-2-2-211-2411-2-2-2-211110000000000-2-2-2-200000000111100000
χ29444444-21-2-21-2-2-2-211-2-4112222-1-1-1-100000000002-22-200000000-11-1100000
χ30444444-21-2-21-2-2-2-211-2-4112222-1-1-1-10000000000-22-22000000001-11-100000
χ314444-4-4-21-2-21222-21120-1-1000033-3-3000000000022-2-200000000-1-11100000
χ324444-4-4-21-2-21222-21120-1-1000033-3-30000000000-2-2220000000011-1-100000
χ334444-4-4-21-2-21222-21120-1-10000-3-33300000000002-2-2200000000-111-100000
χ344444-4-4-21-2-21222-21120-1-10000-3-3330000000000-222-2000000001-1-1100000
χ3544-4-4001-2-11-23-3-3-122300033−3−323−23002i−2i2i−2i0000000000−i3i3−i3i3i−ii−i000000000
χ3644-4-4001-2-11-23-3-3-122300033−3−323−2300−2i2i−2i2i0000000000i3−i3i3−i3−ii−ii000000000
χ3744-4-4001-2-11-23-3-3-1223000−3−333−2323002i−2i2i−2i0000000000i3−i3i3−i3i−ii−i000000000
χ3844-4-4001-2-11-23-3-3-1223000−3−333−232300−2i2i−2i2i0000000000−i3i3−i3i3−ii−ii000000000
χ3944-4-40044-444000-4-4-40000000000002i−2i2i−2i00000000000000−2i2i−2i2i000000000
χ4044-4-40044-444000-4-4-4000000000000−2i2i−2i2i000000000000002i−2i2i−2i000000000
χ414-44-4001-2-1-123-331-22-3000−i3i3−i3i300−2i32i32-2-220000000000−i3i3i3−i31-1-11000000000
χ424-44-4001-2-1-123-331-22-3000−i3i3−i3i300−2i32i3-222-20000000000i3−i3−i3i3-111-1000000000
χ434-44-4001-2-1-123-331-22-3000i3−i3i3−i3002i3−2i32-2-220000000000i3−i3−i3i31-1-11000000000
χ444-44-4001-2-1-123-331-22-3000i3−i3i3−i3002i3−2i3-222-20000000000−i3i3i3−i3-111-1000000000
χ454-44-40044-4-4-400044-40000000000002-2-2200000000000000-222-2000000000
χ464-44-40044-4-4-400044-4000000000000-222-2000000000000002-2-22000000000
χ474-4-444-41-21-1211-1-12-2-10-223i−3i−3i3i00002i2i−2i−2i0000-22000011-1-1−i−iii000000000
χ484-4-444-41-21-1211-1-12-2-10-223i−3i−3i3i0000−2i−2i2i2i00002-20000-1-111ii−i−i000000000
χ494-4-444-41-21-1211-1-12-2-10-22−3i3i3i−3i00002i2i−2i−2i00002-20000-1-111−i−iii000000000
χ504-4-444-41-21-1211-1-12-2-10-22−3i3i3i−3i0000−2i−2i2i2i0000-22000011-1-1ii−i−i000000000
χ518888-8-82-422-4-2-2-22-4-4-2044000000000000000000000000000000000000000
χ5288-8-8002-4-22-4-666-244-6000000000000000000000000000000000000000000
χ5388-8-800-424-420004-2-200002323−23−23−2323000000000000000000000000000000000
χ5488-8-800-424-420004-2-20000−23−23232323−23000000000000000000000000000000000
χ558-88-8002-4-2-24-66-62-446000000000000000000000000000000000000000000
χ568-88-800-4244-2000-42-20000−2i32i3−2i32i3002i3−2i30000000000000000000000000000000
χ578-88-800-4244-2000-42-200002i3−2i32i3−2i300−2i32i30000000000000000000000000000000
χ588-8-888-8-42-44-2-4-444-22402-2000000000000000000000000000000000000000
χ598-8-88-882-42-24-2-22-24-4204-4000000000000000000000000000000000000000
χ608-8-88-88-42-44-244-44-22-40-22000000000000000000000000000000000000000

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