Finite Group Databasebeta

← Group #11794313

Character table — Group #11794313

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444448888888888812121212181818182424242424242424242424242424484848487272727272
order12222233666666666646612121212121212124444222244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-111111-11-1-111-1-1
χ6111111111111111111-111-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-11111-11-11-1-1-111
χ7111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-1-1-11-11-1-1-1-111
χ8111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1-1-1-11-11-111-1-1
χ9222222222222222222222222222220000-2-2-2-2000000000000000000-20000
χ10222222222222222222-222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000020000
χ112222-2-222222-2-2-22-2220-2-20000000000002-22-2020-200000000000-20200000
χ122222-2-222222-2-2-22-2220-2-20000000000002-22-20-2020000000000020-200000
χ132222-2-222222-2-2-22-2220-2-2000000000000-22-2220-200000000000-202000000
χ142222-2-222222-2-2-22-2220-2-2000000000000-22-22-2020000000000020-2000000
χ1522-2-22-22222-222-2-2-2-2-202-20000000000002-2-2200000000000000000002-200
χ1622-2-22-22222-222-2-2-2-2-202-20000000000002-2-220000000000000000000-2200
χ1722-2-22-22222-222-2-2-2-2-202-2000000000000-222-20000000000000000000002-2
χ1822-2-22-22222-222-2-2-2-2-202-2000000000000-222-2000000000000000000000-22
χ1922-2-2-222222-2-2-22-22-2-20-2200000000000022-2-200002-222-2-20000000000000
χ2022-2-2-222222-2-2-22-22-2-20-2200000000000022-2-20000-22-2-2220000000000000
χ2122-2-2-222222-2-2-22-22-2-20-22000000002i2i−2i−2i-2-22200000000002i2i−2i−2i000000000
χ2222-2-2-222222-2-2-22-22-2-20-2200000000−2i−2i2i2i-2-2220000000000−2i−2i2i2i000000000
χ234444441-21-21111-211-24-2-21111-2-2-2-222220000000022-1-1-1-1-1-1-1-1000000000
χ244444441-21-21111-211-24-2-21111-2-2-2-2-2-2-2-200000000-2-211111111000000000
χ254444441-21-21111-211-2-4-2-2-1-1-1-12222222200000000-2-21111-1-1-1-1000000000
χ264444441-21-21111-211-2-4-2-2-1-1-1-12222-2-2-2-20000000022-1-1-1-11111000000000
χ27444444-21-21-2-2-2-21-2-21411-2-2-2-211110000000022220000000000-1-1-1-100000
χ28444444-21-21-2-2-2-21-2-21411-2-2-2-2111100000000-2-2-2-20000000000111100000
χ29444444-21-21-2-2-2-21-2-21-4112222-1-1-1-1000000002-22-20000000000-11-1100000
χ30444444-21-21-2-2-2-21-2-21-4112222-1-1-1-100000000-22-2200000000001-11-100000
χ314444-4-4-21-21-222212-210-1-1000033-3-30000000022-2-2000000000011-1-100000
χ324444-4-4-21-21-222212-210-1-1000033-3-300000000-2-2220000000000-1-11100000
χ334444-4-4-21-21-222212-210-1-10000-3-333000000002-2-2200000000001-1-1100000
χ344444-4-4-21-21-222212-210-1-10000-3-33300000000-222-20000000000-111-100000
χ3544-4-4-441-21-2-1-1-1121-1202-23i3i−3i−3i00002i2i−2i−2i000000002-2-1-111−i−iii000000000
χ3644-4-4-441-21-2-1-1-1121-1202-23i3i−3i−3i0000−2i−2i2i2i00000000-2211-1-1ii−i−i000000000
χ3744-4-4-441-21-2-1-1-1121-1202-2−3i−3i3i3i00002i2i−2i−2i00000000-2211-1-1−i−iii000000000
χ3844-4-4-441-21-2-1-1-1121-1202-2−3i−3i3i3i0000−2i−2i2i2i000000002-2-1-111ii−i−i000000000
χ394-44-4001-2-12-13-332-31-2000−i3i3−i3i300−2i32i32-22-20000000000−i3i3−i3i31-11-1000000000
χ404-44-4001-2-12-13-332-31-2000−i3i3−i3i300−2i32i3-22-220000000000i3−i3i3−i3-11-11000000000
χ414-44-4001-2-12-13-332-31-2000i3−i3i3−i3002i3−2i32-22-20000000000i3−i3i3−i31-11-1000000000
χ424-44-4001-2-12-13-332-31-2000i3−i3i3−i3002i3−2i3-22-220000000000−i3i3−i3i3-11-11000000000
χ434-44-40044-4-4-4000-4044000000000002-22-200000000000000-22-22000000000
χ444-44-40044-4-4-4000-404400000000000-22-22000000000000002-22-2000000000
χ454-4-44001-2-121-333-2-3-120003−3−3323−23002i−2i−2i2i0000000000i3−i3−i3i3i−i−ii000000000
χ464-4-44001-2-121-333-2-3-120003−3−3323−2300−2i2i2i−2i0000000000−i3i3i3−i3−iii−i000000000
χ474-4-44001-2-121-333-2-3-12000−333−3−2323002i−2i−2i2i0000000000−i3i3i3−i3i−i−ii000000000
χ484-4-44001-2-121-333-2-3-12000−333−3−232300−2i2i2i−2i0000000000i3−i3−i3i3−iii−i000000000
χ494-4-440044-4-4400040-4-4000000000002i−2i−2i2i00000000000000−2i2i2i−2i000000000
χ504-4-440044-4-4400040-4-400000000000−2i2i2i−2i000000000000002i−2i−2i2i000000000
χ518888-8-82-42-42-2-2-2-4-22-4044000000000000000000000000000000000000000
χ5288-8-88-82-42-4-222-24-2-240-44000000000000000000000000000000000000000
χ5388-8-88-8-42-424-4-44-244-202-2000000000000000000000000000000000000000
χ5488-8-8-88-42-42444-4-2-44-20-22000000000000000000000000000000000000000
χ558-88-8002-4-24-2-66-6462-4000000000000000000000000000000000000000000
χ568-88-800-424-24000-20-42000−2i32i3−2i32i3002i3−2i30000000000000000000000000000000
χ578-88-800-424-24000-20-420002i3−2i32i3−2i300−2i32i30000000000000000000000000000000
χ588-8-88002-4-2426-6-6-46-24000000000000000000000000000000000000000000
χ598-8-8800-424-2-4000204-200023−23−2323−2323000000000000000000000000000000000
χ608-8-8800-424-2-4000204-2000−232323−2323−23000000000000000000000000000000000

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