Finite Group Databasebeta

← Group #11795343

Character table — Group #11795343

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666661212121236666666121212121212121212124466121212121212121212121212121212121212888824242424242424244488881212121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000000000000000002i−2i00002i2i−2i−2i00000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-2000000000000000000000000−2i2i0000−2i−2i2i2i00000000
χ112222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-10000-1-1-1-10000
χ122222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2001111000011110000
χ132222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111-1-11111111100000000000022-2-200-1-1-1-1000011110000
χ142222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111-1-111111111000000000000-2-2220011110000-1-1-1-10000
χ15222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220000-1-1-1-100000000
χ16222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-20000111100000000
χ17222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-12-2-2-1-11111-2-2-2-2-1-1111111112222-1-1-1-1-1-1-1-10000-2-20000111100000000
χ18222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-12-2-2-1-11111-2-2-2-2-1-111111111-2-2-2-2111111110000220000-1-1-1-100000000
χ19222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-21111-200-1-1−i3−i3i3i3000011−i3−i3−i3−i3i3i3i3i300003333−3−3−3−300002i−2i0000−i−iii00000000
χ20222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-21111-200-1-1−i3−i3i3i3000011−i3−i3−i3−i3i3i3i3i30000−3−3−3−333330000−2i2i0000ii−i−i00000000
χ21222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-21111-200-1-1i3i3−i3−i3000011i3i3i3i3−i3−i3−i3−i300003333−3−3−3−30000−2i2i0000ii−i−i00000000
χ22222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-21111-200-1-1i3i3−i3−i3000011i3i3i3i3−i3−i3−i3−i30000−3−3−3−3333300002i−2i0000−i−iii00000000
χ232222-2-2222-22-222222222222-2-2-2-2222-2-222-22222-200-2-200000000-2-20000000022-2-222-2-222-2-20000000000000000000000
χ242222-2-2222-22-222222222222-2-2-2-2222-2-222-22222-200-2-200000000-2-200000000-2-222-2-222-2-2220000000000000000000000
χ252222-2-222-22-22222222-2-2-2-22-2-2-2-222222-2-22-2-2-2-222-2-2-22-22-2-2-2222222-2-222-2-20000000000000000000000000000000000
χ262222-2-222-22-22222222-2-2-2-22-2-2-2-222222-2-22-2-2-2-22-22-2-2-22-2222-2-222-2-222-2-2220000000000000000000000000000000000
χ272222-2-22-1-22-22222-1-1-1-2-2-2-2-1-2-211-1-1-12211-11111-12-2112-22-211-1-1-1-1-1-111-1-111000000000000000000−i3−i3i3i30000−i3−i3i3i30000
χ282222-2-22-1-22-22222-1-1-1-2-2-2-2-1-2-211-1-1-12211-11111-12-2112-22-211-1-1-1-1-1-111-1-111000000000000000000i3i3−i3−i30000i3i3−i3−i30000
χ292222-2-22-1-22-22222-1-1-1-2-2-2-2-1-2-211-1-1-12211-11111-1-2211-22-22-1-111-1-111-1-111-1-1000000000000000000−i3−i3i3i30000i3i3−i3−i30000
χ302222-2-22-1-22-22222-1-1-1-2-2-2-2-1-2-211-1-1-12211-11111-1-2211-22-22-1-111-1-111-1-111-1-1000000000000000000i3i3−i3−i30000−i3−i3i3i30000
χ312222-2-2-122-22-2-1-1-1222-1-1-1-1-111-2-2-1-1-11122-2-1-1-1-1-20011−i3i3i3−i3000011−i3−i3i3i3i3i3−i3−i322-2-2-1-111-1-1110000000000−i3i3−i3i300000000
χ322222-2-2-122-22-2-1-1-1222-1-1-1-1-111-2-2-1-1-11122-2-1-1-1-1-20011−i3i3i3−i3000011−i3−i3i3i3i3i3−i3−i3-2-22211-1-111-1-10000000000i3−i3i3−i300000000
χ332222-2-2-122-22-2-1-1-1222-1-1-1-1-111-2-2-1-1-11122-2-1-1-1-1-20011i3−i3−i3i3000011i3i3−i3−i3−i3−i3i3i322-2-2-1-111-1-1110000000000i3−i3i3−i300000000
χ342222-2-2-122-22-2-1-1-1222-1-1-1-1-111-2-2-1-1-11122-2-1-1-1-1-20011i3−i3−i3i3000011i3i3−i3−i3−i3−i3i3i3-2-22211-1-111-1-10000000000−i3i3−i3i300000000
χ352222-2-2-12-22-22-1-1-12221111-111-2-2-1-1-1-1-1-2-22111122-211-11-11-2-222-1-1-1-111-1-111000033−3−3−3−33300000000003−3−3300000000
χ362222-2-2-12-22-22-1-1-12221111-111-2-2-1-1-1-1-1-2-22111122-211-11-11-2-222-1-1-1-111-1-1110000−3−33333−3−30000000000−333−300000000
χ372222-2-2-12-22-22-1-1-12221111-111-2-2-1-1-1-1-1-2-2211112-22111-11-122-2-2-1-111-1-111-1-1000033−3−3−3−3330000000000−333−300000000
χ382222-2-2-12-22-22-1-1-12221111-111-2-2-1-1-1-1-1-2-2211112-22111-11-122-2-2-1-111-1-111-1-10000−3−33333−3−300000000003−3−3300000000
χ3922-2-22-22222-2-22-2-22-2-222-2-222-22-22-2-22-22-2-222-2-22002-2000000002-200000000000000000000002-200000000002-22-20000
χ4022-2-22-22222-2-22-2-22-2-222-2-222-22-22-2-22-22-2-222-2-22002-2000000002-20000000000000000000000-220000000000-22-220000
χ4122-2-22-222-2-2222-2-22-2-2-2-22222-22-22-2-2-22-222-2-222-2002-200000000-22000000000000000000000000000000000000002i−2i00
χ4222-2-22-222-2-2222-2-22-2-2-2-22222-22-22-2-2-22-222-2-222-2002-200000000-2200000000000000000000000000000000000000−2i2i00
χ4322-2-22-22-122-2-22-2-2-11122-2-2-12-2-11-1112-2-111-1-111-100-1100003−33−3-113−33−33−33−3000000000000002-2003−33−30000-11-110000
χ4422-2-22-22-122-2-22-2-2-11122-2-2-12-2-11-1112-2-111-1-111-100-1100003−33−3-113−33−33−33−300000000000000-2200−33−3300001-11-10000
χ4522-2-22-22-122-2-22-2-2-11122-2-2-12-2-11-1112-2-111-1-111-100-110000−33−33-11−33−33−33−33000000000000002-200−33−330000-11-110000
χ4622-2-22-22-122-2-22-2-2-11122-2-2-12-2-11-1112-2-111-1-111-100-110000−33−33-11−33−33−33−3300000000000000-22003−33−300001-11-10000
χ4722-2-2-22222-2-222-2-22-2-222-2-22-22-222-2-2-222-2222-2-2-200-2200000000-2200000000000000000000000000000000000000002-2
χ4822-2-2-22222-2-222-2-22-2-222-2-22-22-222-2-2-222-2222-2-2-200-2200000000-220000000000000000000000000000000000000000-22
χ4922-2-2-2222-222-22-2-22-2-2-2-2222-22-222-2-22-2-22-2-2-222200-22000000002-2000000000000000000002i−2i00002i−2i−2i2i000000000000
χ5022-2-2-2222-222-22-2-22-2-2-2-2222-22-222-2-22-2-22-2-2-222200-22000000002-200000000000000000000−2i2i0000−2i2i2i−2i000000000000
χ5122-2-2-222-1-222-22-2-2-111-2-222-1-221-1-1112-21-1111-1-1-1001-100003−3−33-11−333−3−333−30000000000002i−2i0000−iii−i0000i3−i3−i3i30000
χ5222-2-2-222-1-222-22-2-2-111-2-222-1-221-1-1112-21-1111-1-1-1001-100003−3−33-11−333−3−333−3000000000000−2i2i0000i−i−ii0000−i3i3i3−i30000
χ5322-2-2-222-1-222-22-2-2-111-2-222-1-221-1-1112-21-1111-1-1-1001-10000−333−3-113−3−333−3−330000000000002i−2i0000−iii−i0000−i3i3i3−i30000
χ5422-2-2-222-1-222-22-2-2-111-2-222-1-221-1-1112-21-1111-1-1-1001-10000−333−3-113−3−333−3−33000000000000−2i2i0000i−i−ii0000i3−i3−i3i30000
χ554444444-2-4-4-4-4444-2-2-2-4-4-4-4-244-2-2-2-2-2-4-42222222200-2-20000000022000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-24411-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-2-4-4112222222211-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-1-1-120011−2i3−2i32i32i30000-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-1-1-1200112i32i3−2i3−2i30000-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-4-44-24-44-4444-2-2-24444-2-4-422-2-2-2-4-4-2-22-2-2-2-2200220000000022000000000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222211122-2-221111200-1-1−2i32i32i3−2i30000-1-1i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222211122-2-221111200-1-12i3−2i3−2i32i30000-1-1−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-2-222-2-1-1-1-1-24-4-1-1-22-2222-2-21111-1-111-1-10000000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-2-222-2-1-1-1-1-2-44-1-12-22-2-2-22211-1-111-1-1110000000000000000000000000000000000
χ6544-4-44-44-2-4-4444-4-4-222-4-444-24-4-22-222-442-2-222-2-2200-22000000002-2000000000000000000000000000000000000000000
χ6644-4-44-4-2444-4-4-2224-4-4-2-222-2-224-4-222-224-4-4-2-222400-2200000000-22000000000000000000000000000000000000000000
χ6744-4-44-4-24-4-444-2224-4-422-2-2-2-224-4-2222-2-44422-2-2-400-22000000002-2000000000000000000000000000000000000000000
χ6844-4-44-4-2-244-4-4-222-222-2-2221-22-221-1-1-22-22211-1-1-2001-1000023−2323−231-1−33−33−33−330000000000000000000000000000000000
χ6944-4-44-4-2-244-4-4-222-222-2-2221-22-221-1-1-22-22211-1-1-2001-10000−2323−23231-13−33−33−33−30000000000000000000000000000000000
χ7044-4-44-4-2-2-4-444-222-22222-2-21-22-221-1-12-22-2-2-1-1112001-100000000-113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7144-4-44-4-2-2-4-444-222-22222-2-21-22-221-1-12-22-2-2-1-1112001-100000000-11−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7244-4-4-444-24-4-444-4-4-22244-4-4-2-442-2-222-44-22-2-2-2222002-2000000002-2000000000000000000000000000000000000000000
χ7344-4-4-44-244-4-44-2224-4-4-2-222-22-2-44-2222-24-44-2-222-4002-2000000002-2000000000000000000000000000000000000000000
χ7444-4-4-44-24-444-4-2224-4-422-2-2-22-2-44-222-22-44-422-2-24002-200000000-22000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-4-44-222-222-2-22212-22-21-1-12-2-22-211-1-1200-1100000000-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7644-4-4-44-2-24-4-44-222-222-2-22212-22-21-1-12-2-22-211-1-1200-1100000000-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ7744-4-4-44-2-2-444-4-222-22222-2-212-22-21-1-1-222-22-1-111-200-11000023−23−23231-13−3−333−3−330000000000000000000000000000000000
χ7844-4-4-44-2-2-444-4-222-22222-2-212-22-21-1-1-222-22-1-111-200-110000−232323−231-1−333−3−333−30000000000000000000000000000000000
χ794-44-400440000-44-4-4-44000040000-44-40000000000000000000000000000000000−2i22i200−2i22i200−2i22i20000000000000000000000
χ804-44-400440000-44-4-4-44000040000-44-400000000000000000000000000000000002i2−2i2002i2−2i2002i2−2i20000000000000000000000
χ814-44-400-2400002-22-4-4423−2323−23-200002-220000023−2323−230000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ70000000000000000000000
χ824-44-400-2400002-22-4-4423−2323−23-200002-220000023−2323−2300000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ70000000000000000000000
χ834-44-400-2400002-22-4-44−2323−2323-200002-2200000−2323−23230000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ230000000000000000000000
χ844-44-400-2400002-22-4-44−2323−2323-200002-2200000−2323−232300000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ230000000000000000000000
χ854-4-4400440000-4-44-44-4000040000-4-4400000000000000000000000000000000−2i22i200−2i22i200−2i22i2000000000000000000000000
χ864-4-4400440000-4-44-44-4000040000-4-44000000000000000000000000000000002i2−2i2002i2−2i2002i2−2i2000000000000000000000000
χ874-4-4400-24000022-2-44-423−23−2323-2000022-20000023−23−232300000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000
χ884-4-4400-24000022-2-44-423−23−2323-2000022-20000023−23−2323000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000
χ894-4-4400-24000022-2-44-4−232323−23-2000022-200000−232323−2300000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000
χ904-4-4400-24000022-2-44-4−232323−23-2000022-200000−232323−23000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000
χ918-88-8008-40000-88-844-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-400004-4444-443−4343−4320000-22-200000−2323−2323000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-400004-4444-4−4343−434320000-22-20000023−2323−23000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-8-884-440000-4000044-4000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-44-4443−43−434320000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-44-44−434343−4320000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000

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