Finite Group Databasebeta

← Group #11794351

Character table — Group #11794351

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666121212123666666612121212121212121212668812122424242424242424242424242424242488882424242424242424224466668812121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2222i−2i-2-22i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000000000000000000000000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222−2i2i-2-2−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i0000000000000000000000000000000000
χ112222222-12222-1-12-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1220000-1-1-1-10000
χ122222222-12222-1-12-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2001111-2-2000011110000
χ132222222-12222-1-12-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000002200-1-1-1-1-2-2000011110000
χ142222222-12222-1-12-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000-2-2001111220000-1-1-1-10000
χ152222222-1-2-2-2-2-1-12-122-2-2-2-2-122-1-1-1-1-1-2-211111111-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii0000000000000000−i3−i3i3i300000033−3−30000
χ162222222-1-2-2-2-2-1-12-122-2-2-2-2-122-1-1-1-1-1-2-211111111-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii0000000000000000i3i3−i3−i3000000−3−3330000
χ172222222-1-2-2-2-2-1-12-122-2-2-2-2-122-1-1-1-1-1-2-211111111-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i0000000000000000−i3−i3i3i3000000−3−3330000
χ182222222-1-2-2-2-2-1-12-122-2-2-2-2-122-1-1-1-1-1-2-211111111-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i0000000000000000i3i3−i3−i300000033−3−30000
χ19222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10022000000-1-1-1-100000000
χ20222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111111100-2-2000000111100000000
χ21222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-21111-2-211112222-1-1-1-1-1-1-1-100-2-2000000111100000000
χ22222222-12222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-2111111110022000000-1-1-1-100000000
χ23222222-12-2-2-2-222-12-1-11111-1-1-122-1-1-111-2-211-211-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii00003333−3−3−3−30000000000−i3−i3i3i300000000
χ24222222-12-2-2-2-222-12-1-11111-1-1-122-1-1-111-2-211-211-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii0000−3−3−3−333330000000000i3i3−i3−i300000000
χ25222222-12-2-2-2-222-12-1-11111-1-1-122-1-1-111-2-211-211-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i00003333−3−3−3−30000000000i3i3−i3−i300000000
χ26222222-12-2-2-2-222-12-1-11111-1-1-122-1-1-111-2-211-211-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000−3−3−3−333330000000000−i3−i3i3i300000000
χ272222-2-2222-22-222222222222-2-2-2-2222-2-22-222222-2-2-200-2-2000000000000000022-2-222-2-222-2-20000000000000000000000
χ282222-2-2222-22-222222222222-2-2-2-2222-2-22-222222-2-2-200-2-20000000000000000-2-222-2-222-2-2220000000000000000000000
χ292222-2-222-22-22222222-2-2-2-22-2-2-2-222222-22-2-2-2-2-22-2-200220000000000000000000000000000002-20000002-22-200000000
χ302222-2-222-22-22222222-2-2-2-22-2-2-2-222222-22-2-2-2-2-22-2-20022000000000000000000000000000000-22000000-22-2200000000
χ312222-2-2-122-22-222-12-1-1-1-1-1-1-111-2-2-1-1-1112-2-1-12-1-1-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i322-2-2-1-111-1-1110000000000−i3i3i3−i300000000
χ322222-2-2-122-22-222-12-1-1-1-1-1-1-111-2-2-1-1-1112-2-1-12-1-1-2110011−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-22211-1-111-1-10000000000i3−i3−i3i300000000
χ332222-2-2-122-22-222-12-1-1-1-1-1-1-111-2-2-1-1-1112-2-1-12-1-1-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i322-2-2-1-111-1-1110000000000i3−i3−i3i300000000
χ342222-2-2-122-22-222-12-1-1-1-1-1-1-111-2-2-1-1-1112-2-1-12-1-1-2110011i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-22211-1-111-1-10000000000−i3i3i3−i300000000
χ352222-2-2-12-22-2222-12-1-11111-111-2-2-1-1-1-1-1-2211-21121100-1-13−3−330033−3−300−3−333000033−3−3−3−333002-2000000-11-1100000000
χ362222-2-2-12-22-2222-12-1-11111-111-2-2-1-1-1-1-1-2211-21121100-1-13−3−330033−3−300−3−3330000−3−33333−3−300-220000001-11-100000000
χ372222-2-2-12-22-2222-12-1-11111-111-2-2-1-1-1-1-1-2211-21121100-1-1−333−300−3−3330033−3−3000033−3−3−3−33300-220000001-11-100000000
χ382222-2-2-12-22-2222-12-1-11111-111-2-2-1-1-1-1-1-2211-21121100-1-1−333−300−3−3330033−3−30000−3−33333−3−3002-2000000-11-1100000000
χ3922-2-22-22222-2-2-2-222-2-222-2-222-22-2-2-222-22222-2-2-2-22-2002-200000000000000000000000000002-2002-22-200000000000000
χ4022-2-22-22222-2-2-2-222-2-222-2-222-22-2-2-222-22222-2-2-2-22-2002-20000000000000000000000000000-2200-22-2200000000000000
χ4122-2-22-222-2-222-2-222-2-2-2-22222-22-2-2-22-22-2-2-2-222222-200-220000000000000000000000000000000000002-200002-22-20000
χ4222-2-22-222-2-222-2-222-2-2-2-22222-22-2-2-22-22-2-2-2-222222-200-22000000000000000000000000000000000000-220000-22-220000
χ4322-2-22-22-122-2-2112-1-2-222-2-2-12-2-1111-12-2-1-1-1-11111-1100-1100003−33−33−33−33−33−30000000000002-200-11-110000003−3−330000
χ4422-2-22-22-122-2-2112-1-2-222-2-2-12-2-1111-12-2-1-1-1-11111-1100-1100003−33−33−33−33−33−3000000000000-22001-11-1000000−333−30000
χ4522-2-22-22-122-2-2112-1-2-222-2-2-12-2-1111-12-2-1-1-1-11111-1100-110000−33−33−33−33−33−330000000000002-200-11-11000000−333−30000
χ4622-2-22-22-122-2-2112-1-2-222-2-2-12-2-1111-12-2-1-1-1-11111-1100-110000−33−33−33−33−33−33000000000000-22001-11-10000003−3−330000
χ4722-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-221111-1-1-1-1-11001-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i30000000000000000−i3i3i3−i32-20000-11-110000
χ4822-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-221111-1-1-1-1-11001-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i30000000000000000i3−i3−i3i3-2200001-11-10000
χ4922-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-221111-1-1-1-1-11001-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i30000000000000000−i3i3i3−i3-2200001-11-10000
χ5022-2-22-22-1-2-222112-1-2-2-2-222-12-2-1111-1-221111-1-1-1-1-11001-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i30000000000000000i3−i3−i3i32-20000-11-110000
χ5122-2-2-22222-2-22-2-222-2-222-2-22-22-22-2-22-222-222-2-2-22-2200-2200000000000000000000000000000000000000000000002i−2i00
χ5222-2-2-22222-2-22-2-222-2-222-2-22-22-22-2-22-222-222-2-2-22-2200-220000000000000000000000000000000000000000000000−2i2i00
χ5322-2-2-2222-222-2-2-222-2-2-2-2222-22-22-2-222-2-22-2-2222-2-22002-20000000000000000000000000000000000000000000000002i−2i
χ5422-2-2-2222-222-2-2-222-2-2-2-2222-22-22-2-222-2-22-2-2222-2-22002-2000000000000000000000000000000000000000000000000−2i2i
χ55444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-12114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-1211−4i4i-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000
χ594444-4-44-24-44-4-2-24-2444444-2-4-422-2-2-2-4-4-22-2-2-2-2-2222002200000000000000000000000000000000000000000000000000
χ604444-4-44-2-44-44-2-24-244-4-4-4-4-2-4-422-2-2-2442-222222-22200-2-200000000000000000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222211122-2211-2112-1-100-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222211122-2211-2112-1-100-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-2-22-2-1-12-1-1-2-1-1001123−23−232300−3−3330033−3−30000000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-2-22-2-1-12-1-1-2-1-10011−232323−230033−3−300−3−3330000000000000000000000000000000000
χ6544-4-44-4-2444-4-4-4-4-2422-2-222-2-224-422-2-2244-2-2-422-4-2200-2200000000000000000000000000000000000000000000000000
χ6644-4-44-4-24-4-444-4-4-242222-2-2-2-224-422-22-2-4-4224-2-24-22002-200000000000000000000000000000000000000000000000000
χ6744-4-44-4-2-244-4-422-2-222-2-2221-22-22-1-11-22-2-2112-1-121-1001-1000023−23−33−3323−23−33−330000000000000000000000000000000000
χ6844-4-44-4-2-244-4-422-2-222-2-2221-22-22-1-11-22-2-2112-1-121-1001-10000−23233−33−3−23233−33−30000000000000000000000000000000000
χ6944-4-44-4-2-2-4-44422-2-22222-2-21-22-22-1-112-222-1-1-211-21-100-110000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ7044-4-44-4-2-2-4-44422-2-22222-2-21-22-22-1-112-222-1-1-211-21-100-1100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ7144-4-4-444-24-4-44224-2-4-444-4-4-2-442-222-2-44-22-2-2222-22-2002-200000000000000000000000000000000000000000000000000
χ7244-4-4-444-2-444-4224-2-4-4-4-444-2-442-222-24-42-222-2-2-222-200-2200000000000000000000000000000000000000000000000000
χ7344-4-4-44-244-4-44-4-4-2422-2-222-22-2-4422-22-24-4-2-2-42242-2002-200000000000000000000000000000000000000000000000000
χ7444-4-4-44-24-444-4-4-4-242222-2-2-22-2-4422-2-22-44224-2-2-42-200-2200000000000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-4-4422-2-222-2-22212-22-2-1-112-2-22112-1-1-2-1100-110000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000
χ7644-4-4-44-2-24-4-4422-2-222-2-22212-22-2-1-112-2-22112-1-1-2-1100-11000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000
χ7744-4-4-44-2-2-444-422-2-22222-2-212-22-2-1-11-222-2-1-1-2112-11001-10000003-3-3300-333-30000000000000000000000000000000000
χ7844-4-4-44-2-2-444-422-2-22222-2-212-22-2-1-11-222-2-1-1-2112-11001-1000000-333-3003-3-330000000000000000000000000000000000
χ794-44-4004400004-4-4-44-40000400004-4-40000000000000000000000000000000000−2i22i200−2i22i200−2i22i20000000000000000000000
χ804-44-4004400004-4-4-44-40000400004-4-400000000000000000000000000000000002i2−2i2002i2−2i2002i2−2i20000000000000000000000
χ814-44-400-2400004-42-4-2223−2323−23-20000-222000023−23023−230000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ230000000000000000000000
χ824-44-400-2400004-42-4-2223−2323−23-20000-222000023−23023−2300000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ230000000000000000000000
χ834-44-400-2400004-42-4-22−2323−2323-20000-2220000−23230−23230000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ70000000000000000000000
χ844-44-400-2400004-42-4-22−2323−2323-20000-2220000−23230−232300000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ70000000000000000000000
χ854-4-4400440000-44-4-4-44000040000-44-40000000000000000000000000000000022−220022−220022−22000000000000000000000000
χ864-4-4400440000-44-4-4-44000040000-44-400000000000000000000000000000000−222200−222200−2222000000000000000000000000
χ874-4-4400-240000-442-42-223−23−2323-200002-22000023−230−23230000000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ23002ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000
χ884-4-4400-240000-442-42-223−23−2323-200002-22000023−230−232300000000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ2300−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000
χ894-4-4400-240000-442-42-2−232323−23-200002-220000−2323023−230000000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ7002ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000
χ904-4-4400-240000-442-42-2−232323−23-200002-220000−2323023−2300000000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ700−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000
χ918-88-8008-40000-44-848-80000-40000-444000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4444-4443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-40000-4444-44−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000
χ948-8-88008-400004-4-84-880000-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-4444-443−43−434320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-4444-4−434343−4320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.