Finite Group Databasebeta

← Group #11865880

Character table — Group #11865880

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212124444668812122424242424242424242424242424242422224412121212121212122466666688121224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1
χ91111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-11-11111-1-1-1-11-111-1-1111-1-1-111-1-111-1-11-1
χ101111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-11-1-111-1-11-11111-1-1-1-111-11
χ111111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-11-11111-1-1-1-1-1111-1-1-1-1-1111-1-11111-1-1-11
χ121111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1111-11111-1-1-1-11-1-1-11111-11-1-1-1-111-1-1111-1
χ131111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-111-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-111111-111-1-111-11-1-1-1-111-1-111-11
χ141111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-11111-11-1-111-1-1-1111-1-11111-1-11-1
χ151111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-111-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-11-1-1-1-11111-1111-1-1-1-11-11111-1-1-1-1111-1
χ161111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-111-11-1-1-1-111111-1-1-111111-1-1-111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222222200-2-200000000000000000000-2-222-2-222-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000022-2-222-2-2220000000000000000000000
χ192222222-12222-1-1222-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000022-1-1-1-1-1-100-1-10000000000
χ202222222-12222-1-1222-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-211111100110000000000
χ212222222-12222-1-1222-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-2-1-1-1-11100110000000000
χ222222222-12222-1-1222-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-20000000000221111-1-100-1-10000000000
χ23222222-12222222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1000000002200-1-1-1-1000000
χ24222222-12222222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-12222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-100000000-2-2001111000000
χ25222222-12222222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-21111111100000000-2-2001111000000
χ26222222-12222222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-211111111000000002200-1-1-1-1000000
χ27222222-12-2-2-2-222-1-1-121111-1-1-122-1-1-111-2-2-211-2112222-1-100113−33−30033−3−30033−3−30000-2-2-1-111-1-1110000000000003−33−3000000
χ28222222-12-2-2-2-222-1-1-121111-1-1-122-1-1-111-2-2-211-2112222-1-10011−33−3300−3−33300−3−3330000-2-2-1-111-1-111000000000000−33−33000000
χ29222222-12-2-2-2-222-1-1-121111-1-1-122-1-1-111-2-2-211-211-2-2-2-2-1-100113−33−30033−3−30033−3−300002211-1-111-1-1000000000000−33−33000000
χ30222222-12-2-2-2-222-1-1-121111-1-1-122-1-1-111-2-2-211-211-2-2-2-2-1-10011−33−3300−3−33300−3−33300002211-1-111-1-10000000000003−33−3000000
χ312222-2-222-222-2222222-2-2-2-22-2-2-2-222222-222-2-2-2-2-222-2-2-2-2002200000000000000000000-2222-2-2-2-2220000000000000000000000
χ322222-2-222-222-2222222-2-2-2-22-2-2-2-222222-222-2-2-2-2-2-2-222-2-20022000000000000000000002-2-2-22222-2-20000000000000000000000
χ332222-2-22-12-2-22-1-1222-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-10000112-21122-2-2-1-1-1-1-1-111111122-2-200000000002-2-1-111-1-100110000000000
χ342222-2-22-12-2-22-1-1222-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-10000112-21122-2-2-1-1-1-1-1-1111111-2-2220000000000-2211-1-11100-1-10000000000
χ352222-2-22-12-2-22-1-1222-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-1000011-2211-2-222111111-1-1-1-1-1-122-2-20000000000-22-1-1111100-1-10000000000
χ362222-2-22-12-2-22-1-1222-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-1000011-2211-2-222111111-1-1-1-1-1-1-2-22200000000002-211-1-1-1-100110000000000
χ372222-2-2-122-2-2222-1-1-12-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-122-2-2112-211-1-11122-1-1-1-1-2-2111100002-2-1-1-1-11111000000002-200-1-111000000
χ382222-2-2-122-2-2222-1-1-12-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-122-2-211-221111-1-1-2-2111122-1-1-1-100002-2-1-1-1-1111100000000-220011-1-1000000
χ392222-2-2-122-2-2222-1-1-12-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-1-2-222112-211-1-11122-1-1-1-1-2-211110000-221111-1-1-1-100000000-220011-1-1000000
χ402222-2-2-122-2-2222-1-1-12-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-1-2-22211-221111-1-1-2-2111122-1-1-1-10000-221111-1-1-1-1000000002-200-1-111000000
χ412222-2-2-12-222-222-1-1-121111-111-2-2-1-1-1-1-1-22211-21122-2-21100-1-13−3−330033−3−300−3−3330000-22-1-11111-1-10000000000003−3−33000000
χ422222-2-2-12-222-222-1-1-121111-111-2-2-1-1-1-1-1-22211-21122-2-21100-1-1−333−300−3−3330033−3−30000-22-1-11111-1-1000000000000−333−3000000
χ432222-2-2-12-222-222-1-1-121111-111-2-2-1-1-1-1-1-22211-211-2-2221100-1-13−3−330033−3−300−3−33300002-211-1-1-1-111000000000000−333−3000000
χ442222-2-2-12-222-222-1-1-121111-111-2-2-1-1-1-1-1-22211-211-2-2221100-1-1−333−300−3−3330033−3−300002-211-1-1-1-1110000000000003−3−33000000
χ452-22-22-22222-2-2-2-22-2-2222-2-222-22-2-2-222-222-222-2-2-200002-2002-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ462-22-22-22222-2-2-2-22-2-2222-2-222-22-2-2-222-222-222-2-2-200002-2002-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ472-22-22-222-2-222-2-22-2-22-2-22222-22-2-2-22-22-2-22-2-222200002-200-2200000000000000002-22-20000000000002-22-20000000000000000
χ482-22-22-222-2-222-2-22-2-22-2-22222-22-2-2-22-22-2-22-2-222200002-200-220000000000000000-22-22000000000000-22-220000000000000000
χ492-22-22-22-1-2-222112-2-2-1-2-222-12-2-1111-1-2211-111-1-1-10000-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-22-2000000000000-11-11−i3i300−i3i30000000000
χ502-22-22-22-1-2-222112-2-2-1-2-222-12-2-1111-1-2211-111-1-1-10000-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-22-220000000000001-11-1i3−i300i3−i30000000000
χ512-22-22-22-1-2-222112-2-2-1-2-222-12-2-1111-1-2211-111-1-1-10000-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-22-2000000000000-11-11i3−i300i3−i30000000000
χ522-22-22-22-1-2-222112-2-2-1-2-222-12-2-1111-1-2211-111-1-1-10000-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-22-220000000000001-11-1−i3i300−i3i30000000000
χ532-22-2-22222-22-2-2-22-2-2222-2-22-22-22-2-22-222-2222-2-2-20000-2200-2200000000000000000000000000000000000000000000002i−2i−2i2i00
χ542-22-2-22222-22-2-2-22-2-2222-2-22-22-22-2-22-222-2222-2-2-20000-2200-220000000000000000000000000000000000000000000000−2i2i2i−2i00
χ552-22-2-2222-22-22-2-22-2-22-2-2222-22-22-2-222-2-22-2-2-22220000-22002-200000000000000002-2-220000000000002-2-220000000000000000
χ562-22-2-2222-22-22-2-22-2-22-2-2222-22-22-2-222-2-22-2-2-22220000-22002-20000000000000000-222-2000000000000-222-20000000000000000
χ572-22-2-222-1-22-22112-2-2-1-2-222-1-221-111-12-21-1111-1-1-100001-100-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i32-2-22000000000000-111-1−i3i300i3−i30000000000
χ582-22-2-222-1-22-22112-2-2-1-2-222-1-221-111-12-21-1111-1-1-100001-100-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3-222-20000000000001-1-11i3−i300−i3i30000000000
χ592-22-2-222-1-22-22112-2-2-1-2-222-1-221-111-12-21-1111-1-1-100001-100-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i32-2-22000000000000-111-1i3−i300−i3i30000000000
χ602-22-2-222-1-22-22112-2-2-1-2-222-1-221-111-12-21-1111-1-1-100001-100-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3-222-20000000000001-1-11−i3i300i3−i30000000000
χ614444444-2-4-4-4-4-2-2444-2-4-4-4-4-244-2-2-2-2-2-4-4222222220000-2-200220000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2110000114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-211000011-4-411222222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-12-1-100001100-1-123−2323−2300−3−33300−3−333000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-12-1-100001100-1-1−2323−23230033−3−30033−3−3000000000000000000000000000000000000
χ664444-4-44-2-444-4-2-2444-2-4-4-4-4-2-4-422-2-2-2442-2-22222200002200-2-20000000000000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-2-2-2-2-21222211122-22211-2110000-1-14-4-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-2-2-2-2-21222211122-22211-2110000-1-1-44-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-2222212222111-2-22-2-2-1-12-1-10000-1-1001123−23−232300−3−3330033−3−3000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-2222212222111-2-22-2-2-1-12-1-10000-1-10011−232323−230033−3−300−3−333000000000000000000000000000000000000
χ7144-4-4004400004-4-44-4-40000400004-4-40000000000004i−4i000000000000000000000000000000004i−4i000000000000000000000000
χ7244-4-4004400004-4-44-4-40000400004-4-4000000000000−4i4i00000000000000000000000000000000−4i4i000000000000000000000000
χ7344-4-400-2400004-42-22-423−2323−23-20000-2220000023−23023−23004i−4i00000000000000000000000000000000−2i2i−2i32i30000000000000000000000
χ7444-4-400-2400004-42-22-423−2323−23-20000-2220000023−23023−2300−4i4i000000000000000000000000000000002i−2i2i3−2i30000000000000000000000
χ7544-4-400-2400004-42-22-4−2323−2323-20000-22200000−23230−2323004i−4i00000000000000000000000000000000−2i2i2i3−2i30000000000000000000000
χ7644-4-400-2400004-42-22-4−2323−2323-20000-22200000−23230−232300−4i4i000000000000000000000000000000002i−2i−2i32i30000000000000000000000
χ774-44-44-44-244-4-4224-4-4-244-4-4-24-4-2222-24-4-2-22-2-22220000-2200-220000000000000000000000000000000000000000000000000000
χ784-44-44-4-2444-4-4-4-4-2224-2-222-2-224-422-2-2244-4-2-2-4220000-2200-220000000000000000000000000000000000000000000000000000
χ794-44-44-4-24-4-444-4-4-222422-2-2-2-224-422-22-2-4-44224-2-20000-22002-20000000000000000000000000000000000000000000000000000
χ804-44-44-4-2-244-4-422-222-2-2-2221-22-22-1-11-22-2-22112-1-100001-1001-10000003i−3i−3i3i003i−3i−3i3i000000000000000000000000000000000000
χ814-44-44-4-2-244-4-422-222-2-2-2221-22-22-1-11-22-2-22112-1-100001-1001-1000000−3i3i3i−3i00−3i3i3i−3i000000000000000000000000000000000000
χ824-44-44-4-2-2-4-44422-222-222-2-21-22-22-1-112-222-2-1-1-21100001-100-110000−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ834-44-44-4-2-2-4-44422-222-222-2-21-22-22-1-112-222-2-1-1-21100001-100-1100002i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ844-44-4-444-24-44-4224-4-4-244-4-4-2-442-222-2-44-22-2-2-222200002-2002-20000000000000000000000000000000000000000000000000000
χ854-44-4-44-244-44-4-4-4-2224-2-222-22-2-4422-22-24-44-2-2-42200002-2002-20000000000000000000000000000000000000000000000000000
χ864-44-4-44-24-44-44-4-4-222422-2-2-22-2-4422-2-22-44-4224-2-200002-200-220000000000000000000000000000000000000000000000000000
χ874-44-4-44-2-24-44-422-222-2-2-22212-22-2-1-112-2-22-2112-1-10000-1100-110000003i−3i−3i3i00−3i3i3i−3i000000000000000000000000000000000000
χ884-44-4-44-2-24-44-422-222-2-2-22212-22-2-1-112-2-22-2112-1-10000-1100-11000000−3i3i3i−3i003i−3i−3i3i000000000000000000000000000000000000
χ894-44-4-44-2-2-44-4422-222-222-2-212-22-2-1-11-222-22-1-1-2110000-11001-10000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ904-44-4-44-2-2-44-4422-222-222-2-212-22-2-1-11-222-22-1-1-2110000-11001-100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ914-4-4400440000-44-4-44-4000040000-44-400000000004-40000000000000000000000000000004-40000000000000000000000000000
χ924-4-4400440000-44-4-44-4000040000-44-40000000000-44000000000000000000000000000000-440000000000000000000000000000
χ934-4-4400-240000-4422-2-423−23−2323-200002-220000023−230−23234-4000000000000000000000000000000-2223−2300000000000000000000000000
χ944-4-4400-240000-4422-2-423−23−2323-200002-220000023−230−2323-440000000000000000000000000000002-2−232300000000000000000000000000
χ954-4-4400-240000-4422-2-4−232323−23-200002-2200000−2323023−234-4000000000000000000000000000000-22−232300000000000000000000000000
χ964-4-4400-240000-4422-2-4−232323−23-200002-2200000−2323023−23-440000000000000000000000000000002-223−2300000000000000000000000000
χ9788-8-8008-40000-44-88-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−43200002-2-200000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−4343200002-2-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-400004-4-8-8840000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-444-4443−43−434320000-22-200000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444-44−434343−4320000-22-20000023−230−232300000000000000000000000000000000000000000000000000000000000000

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