Finite Group Databasebeta

← Group #11878609

Character table — Group #11878609

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222222444444444444444444448888888888888888888888121212121212121212121212121224242424242424242424242424484872727272
order122233446666661212121223466688121212121212121224242424666681212122424242424242424242424242424224466881212242424242244666812121224246124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-111111111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-11-11-1-1-11-1-1-1-11111-1-1
χ6111111111111111111111111-1-111111111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11-11111-1111-1-1-1-1-1-111
χ7111111111111111111111111-1-111111111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-1-1-11-1-1-11111-1-111
χ8111111111111111111111111-1-111111111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-1111-11111-1-111-1-1
χ9111111111111111111-11-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111111111111-1-11-1-1-1-1-111-1-11-11-11-1
χ10111111111111111111-11-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11111111111-111-1-111-1-1-1-1-1-1-11-11-11
χ11111111111111111111-11-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-11-11
χ12111111111111111111-11-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111-111111-1-111-111-11-1
χ13111111111111111111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111111-11-111-1-111-1-1-1-111-1-1-1111-1-1-1111-11-1-11
χ14111111111111111111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111111-11-111-1-111-1-1-1-1-1-111-1-1-11-11111-11-111-1
χ15111111111111111111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-11-11-1-111-1-1111111-1-1111-11-1-1-1-11-1-111-1
χ16111111111111111111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-11-11-1-111-1-11111-1-1111-1-1-1111-1-1-111-1-11
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-2000022220-2-2-2000000000000002-2-222200-2-200000000-200020000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-2000022220-2-2-200000000000000-222-2-2-20022000000002000-20000000000
χ19222222-2-2222222-2-2-2-2-2222220022-2-2-2-2-2-20000-2-2-2-202220000000000000022-2-22200-2-2000000002000-20000000000
χ20222222-2-2222222-2-2-2-2-2222220022-2-2-2-2-2-20000-2-2-2-2022200000000000000-2-222-2-2002200000000-200020000000000
χ2122222-12222-1-12-122222-12-1-1-122-1-1-1-1-1-1-1-122222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220-1-100-1-100-1-10000
χ2222222-12222-1-12-122222-12-1-1-122-1-1-1-1-1-1-1-122222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-2011001100110000
χ2322222-12222-1-12-122222-12-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-22-1-1-2-2111111111111000000000000002-22-2011001100-1-10000
χ2422222-12222-1-12-122222-12-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-22-1-1-2-211111111111100000000000000-22-220-1-100-1-100110000
χ2522222-12222-1-12-12222-2-1-2-1-1-12211-1-1-1-1-1-12222-2111-2-211-2-2-1-1-1-1-1-1111111000000000000002-2-2201100-1-100-110000
χ2622222-12222-1-12-12222-2-1-2-1-1-12211-1-1-1-1-1-12222-2111-2-211-2-2-1-1-1-1-1-111111100000000000000-222-20-1-10011001-10000
χ2722222-12222-1-12-12222-2-1-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-2-21112-21122111111-1-1-1-1-1-10000000000000022-2-20-1-1001100-110000
χ2822222-12222-1-12-12222-2-1-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-2-21112-21122111111-1-1-1-1-1-100000000000000-2-22201100-1-1001-10000
χ292222-1222-1-122-12-1-1-1-12-12-1-1-1222222-1-1-1-1-1-1-1-1-12-1-12-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-10000-1002-100-1-1000000
χ302222-1222-1-122-12-1-1-1-12-12-1-1-1222222-1-1-1-1-1-1-1-1-12-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-211-2-21111110000100-210011000000
χ312222-1222-1-122-12-1-1-1-12-12-1-1-1-2-22222-1-1-1-11111-12-1-1-2-1-1-111-2-21111-2-211112222-1-1-2-2-1-111110000-100-2-10011000000
χ322222-1222-1-122-12-1-1-1-12-12-1-1-1-2-22222-1-1-1-11111-12-1-1-2-1-1-111-2-21111-2-21111-2-2-2-2112211-1-1-1-100001002100-1-1000000
χ332222-1222-1-122-12-1-1-1-1-2-1-2-1-1-122-2-222-1-1-1-1-1-1-1-11-211-21111122-1-1-1-1-2-211112-22-2-1-122-1-1-1-1-1-10000100-210011000000
χ342222-1222-1-122-12-1-1-1-1-2-1-2-1-1-122-2-222-1-1-1-1-1-1-1-11-211-21111122-1-1-1-1-2-21111-22-2211-2-21111110000-1002-100-1-1000000
χ352222-1222-1-122-12-1-1-1-1-2-1-2-1-1-1-2-2-2-222-1-1-1-111111-2112111-1-1-2-2111122-1-1-1-12-22-2-1-1-2-2-1-1111100001002100-1-1000000
χ362222-1222-1-122-12-1-1-1-1-2-1-2-1-1-1-2-2-2-222-1-1-1-111111-2112111-1-1-2-2111122-1-1-1-1-22-22112211-1-1-1-10000-100-2-10011000000
χ372222-12-2-2-1-122-1211112-1-2-1-1-100-2-2-2-2111133−3−3-12-1-101113−30033−3−30033−3−32-2-22-1-1001133−3−300001000-1003−3000000
χ382222-12-2-2-1-122-1211112-1-2-1-1-100-2-2-2-2111133−3−3-12-1-101113−30033−3−30033−3−3-222-21100-1-1−3−3330000-1000100−33000000
χ392222-12-2-2-1-122-1211112-1-2-1-1-100-2-2-2-21111−3−333-12-1-10111−3300−3−33300−3−3332-2-22-1-10011−3−33300001000-100−33000000
χ402222-12-2-2-1-122-1211112-1-2-1-1-100-2-2-2-21111−3−333-12-1-10111−3300−3−33300−3−333-222-21100-1-133−3−30000-10001003−3000000
χ412222-12-2-2-1-122-121111-2-12-1-1-10022-2-2111133−3−31-2110-1-1-1−330033−3−300−3−33322-2-2-1-1001133−3−30000-1000100−33000000
χ422222-12-2-2-1-122-121111-2-12-1-1-10022-2-2111133−3−31-2110-1-1-1−330033−3−300−3−333-2-2221100-1-1−3−33300001000-1003−3000000
χ432222-12-2-2-1-122-121111-2-12-1-1-10022-2-21111−3−3331-2110-1-1-13−300−3−3330033−3−322-2-2-1-10011−3−3330000-10001003−3000000
χ442222-12-2-2-1-122-121111-2-12-1-1-10022-2-21111−3−3331-2110-1-1-13−300−3−3330033−3−3-2-2221100-1-133−3−300001000-100−33000000
χ4544444-2-4-444-2-24-2-4-4-4-44-2-4-2-2-2002222222200004-2-2-20-42200000000000000000000000000000000000000000000000
χ4644444-2-4-444-2-24-2-4-4-4-4-4-24-2-2-200-2-22222220000-422204-2-200000000000000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-2-2-2-241411144-2-2-2-21111-2-2-2-2-2-2114-211-2-2-2-21111-2-21111000000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-2-2-2-2414111-4-4-2-2-2-211112222-2-211-4-2112222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-2-2-2-2-41-41114422-2-21111-2-2-2-222-1-1-42-1-122-2-2111122-1-1-1-1000000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-2-2-2-2-41-4111-4-422-2-21111222222-1-142-1-1-2-222-1-1-1-1-2-21111000000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-2222241-4111002222-1-1-1-12323−23−23-2-21102-1-123−2300−3−33300−3−333000000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2222241-4111002222-1-1-1-1−23−232323-2-21102-1-1−23230033−3−30033−3−3000000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-22222-41411100-2-222-1-1-1-12323−23−2322-1-10-211−232300−3−3330033−3−3000000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-22222-41411100-2-222-1-1-1-1−23−23232322-1-10-21123−230033−3−300−3−333000000000000000000000000000000000
χ5544-4-444004-4-44-4-400000404-4-4000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000
χ5644-4-444004-4-44-4-400000404-4-40000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000
χ5744-4-4-2400-22-442-42323−23−230-20-2220000002323−23−2300000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000
χ5844-4-4-2400-22-442-42323−23−230-20-2220000002323−23−23000000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000
χ5944-4-4-2400-22-442-4−23−2323230-20-222000000−23−23232300000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000
χ6044-4-4-2400-22-442-4−23−2323230-20-222000000−23−232323000000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000
χ614-44-4444-4-4-4-4-4444-44-4040-4-4400004-44-44-400000000000000000000000000000000000000000000000000000000000
χ624-44-444-44-4-4-4-444-44-44040-4-440000-44-44-4400000000000000000000000000000000000000000000000000000000000
χ634-44-44-24-4-4-4224-24-44-40-2022-20000-22-22-220000000000000000000000000000000000000000000000000−2i32i300000000
χ644-44-44-24-4-4-4224-24-44-40-2022-20000-22-22-2200000000000000000000000000000000000000000000000002i3−2i300000000
χ654-44-44-2-44-4-4224-2-44-440-2022-200002-22-22-2000000000000000000000000000000000000000000000−2i32i3000000000000
χ664-44-44-2-44-4-4224-2-44-440-2022-200002-22-22-20000000000000000000000000000000000000000000002i3−2i3000000000000
χ674-44-4-244-422-4-4-24-22-220-2022-200004-4-22-22000000000000000000000000000000−2i32i300−2i32i300000000000000000000000
χ684-44-4-244-422-4-4-24-22-220-2022-200004-4-22-220000000000000000000000000000002i3−2i3002i3−2i300000000000000000000000
χ694-44-4-24-4422-4-4-242-22-20-2022-20000-442-22-2000000000000000000000000000000−2i32i3002i3−2i300000000000000000000000
χ704-44-4-24-4422-4-4-242-22-20-2022-20000-442-22-20000000000000000000000000000002i3−2i300−2i32i300000000000000000000000
χ714-4-444400-444-4-4-40000040-44-4−2i22i200000000−2i22i2−2i22i20000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ724-4-444400-444-4-4-40000040-44-42i2−2i2000000002i2−2i22i2−2i200000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ734-4-444-200-44-22-4200000-202-22−2i22i223−23000000−2i22i2−2i22i200000023−2300i2−i2i2−i2i2−i2i6−i6i6−i6i6−i6000000000000000000000000000000000
χ744-4-444-200-44-22-4200000-202-22−2i22i2−2323000000−2i22i2−2i22i2000000−232300i2−i2i2−i2i2−i2−i6i6−i6i6−i6i6000000000000000000000000000000000
χ754-4-444-200-44-22-4200000-202-222i2−2i223−230000002i2−2i22i2−2i200000023−2300−i2i2−i2i2−i2i2−i6i6−i6i6−i6i6000000000000000000000000000000000
χ764-4-444-200-44-22-4200000-202-222i2−2i2−23230000002i2−2i22i2−2i2000000−232300−i2i2−i2i2−i2i2i6−i6i6−i6i6−i6000000000000000000000000000000000
χ774-4-44-24002-24-42-423−23−23230-202-22−2i22i2000023−23−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000000
χ784-4-44-24002-24-42-423−23−23230-202-222i2−2i2000023−23−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000000
χ794-4-44-24002-24-42-4−232323−230-202-22−2i22i20000−232323−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000000
χ804-4-44-24002-24-42-4−232323−230-202-222i2−2i20000−232323−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000000
χ814-4-44-2-2002-2-222223−23−2323010-11-1−2i22i223−2300−333−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7003-300−3300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000
χ824-4-44-2-2002-2-222223−23−2323010-11-1−2i22i2−232300−333−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700-33003−300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
χ834-4-44-2-2002-2-222223−23−2323010-11-12i2−2i223−2300−333−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7003-300−3300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
χ844-4-44-2-2002-2-222223−23−2323010-11-12i2−2i2−232300−333−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700-33003−300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000
χ854-4-44-2-2002-2-2222−232323−23010-11-1−2i22i223−23003−3−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300-3300−3300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000
χ864-4-44-2-2002-2-2222−232323−23010-11-1−2i22i2−2323003−3−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23003-3003−300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000
χ874-4-44-2-2002-2-2222−232323−23010-11-12i2−2i223−23003−3−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300-3300−3300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000
χ884-4-44-2-2002-2-2222−232323−23010-11-12i2−2i2−2323003−3−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23003-3003−300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000
χ8988-8-88-4008-84-4-8400000-40-444000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-444-4444343−43−430202-2-2000000−23−23232300000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-444-444−43−4343430202-2-20000002323−23−2300000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-48-84444-4-4-44-44020-2-220000-442-22-200000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4-884444-4-44-44-4020-2-2200004-4-22-2200000000000000000000000000000000000000000000000000000000000

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