Finite Group Databasebeta

← Group #11868757

Character table — Group #11868757

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212124444668812122424242424242424242424242424242444444412121212121212124488121212121212121224242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-11-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-11
χ111111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-11-11111-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-11
χ121111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1111-11111-1-1-1-11-1-1111-1-1-1-111-1-111-1-1111-1
χ131111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-111-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-111111-1-1111-1-111-1-1-1-111-1-111-11
χ141111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-11111-11-11-1-111-1-111-1-11111-1-11-1
χ151111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-111-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-11-1-1-1-11111-111-1-1-11111-1-111-1-1-1-1111-1
χ161111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-111-11-1-1-1-111111-11-111-1-1-1-11111-1-111-1-1-11
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
χ192222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000002200-1-1-1-1-1-1-1-10000000000
χ202222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200111111110000000000
χ212222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-2001111-1-1-1-10000000000
χ222222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-200000000002200-1-1-1-111110000000000
χ23222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1002200000000-1-1-1-1000000
χ24222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-12222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-100-2-2000000001111000000
χ25222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-21111111100-2-2000000001111000000
χ26222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-211111111002200000000-1-1-1-1000000
χ27222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-211-2112222-1-100113−33−30033−3−30033−3−30000-2-2-1-111-1-1110000000000003−33−3000000
χ28222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-211-2112222-1-10011−33−3300−3−33300−3−3330000-2-2-1-111-1-111000000000000−33−33000000
χ29222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-211-211-2-2-2-2-1-100113−33−30033−3−30033−3−300002211-1-111-1-1000000000000−33−33000000
χ30222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-211-211-2-2-2-2-1-10011−33−3300−3−33300−3−33300002211-1-111-1-10000000000003−33−3000000
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
χ332222-2-22-12-2-22222-1-1-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-10000112-21122-2-2-1-1-1-1-1-111111122-2-200000000002-200-1-111-1-1110000000000
χ342222-2-22-12-2-22222-1-1-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-10000112-21122-2-2-1-1-1-1-1-1111111-2-2220000000000-220011-1-111-1-10000000000
χ352222-2-22-12-2-22222-1-1-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-1000011-2211-2-222111111-1-1-1-1-1-122-2-20000000000-220011-1-1-1-1110000000000
χ362222-2-22-12-2-22222-1-1-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-1000011-2211-2-222111111-1-1-1-1-1-1-2-22200000000002-200-1-11111-1-10000000000
χ372222-2-2-122-2-22-1-1-1222-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-122-2-2112-211-1-11122-1-1-1-1-2-2111100002-2-1-1-1-11111002-200000000-1-111000000
χ382222-2-2-122-2-22-1-1-1222-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-122-2-211-221111-1-1-2-2111122-1-1-1-100002-2-1-1-1-1111100-220000000011-1-1000000
χ392222-2-2-122-2-22-1-1-1222-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-1-2-222112-211-1-11122-1-1-1-1-2-211110000-221111-1-1-1-100-220000000011-1-1000000
χ402222-2-2-122-2-22-1-1-1222-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-1-2-22211-221111-1-1-2-2111122-1-1-1-10000-221111-1-1-1-1002-200000000-1-111000000
χ412222-2-2-12-222-2-1-1-12221111-111-2-2-1-1-1-1-1-22211-21122-2-21100-1-13−3−330033−3−300−3−3330000-22-1-11111-1-10000000000003−3−33000000
χ422222-2-2-12-222-2-1-1-12221111-111-2-2-1-1-1-1-1-22211-21122-2-21100-1-1−333−300−3−3330033−3−30000-22-1-11111-1-1000000000000−333−3000000
χ432222-2-2-12-222-2-1-1-12221111-111-2-2-1-1-1-1-1-22211-211-2-2221100-1-13−3−330033−3−300−3−33300002-211-1-1-1-111000000000000−333−3000000
χ442222-2-2-12-222-2-1-1-12221111-111-2-2-1-1-1-1-1-22211-211-2-2221100-1-1−333−300−3−3330033−3−300002-211-1-1-1-1110000000000003−3−33000000
χ4522-2-22-22222-2-22-2-2-2-2222-2-222-22-2-2-222-222-222-2-2-200002-2002-200000000000000002-22-20000000000000000002-22-20000000000
χ4622-2-22-22222-2-22-2-2-2-2222-2-222-22-2-2-222-222-222-2-2-200002-2002-20000000000000000-22-22000000000000000000-22-220000000000
χ4722-2-22-222-2-2222-2-2-2-22-2-22222-22-2-2-22-22-2-22-2-222200002-200-2200000000000000000000000000000000000000000000002i−2i2i−2i00
χ4822-2-22-222-2-2222-2-2-2-22-2-22222-22-2-2-22-22-2-22-2-222200002-200-220000000000000000000000000000000000000000000000−2i2i−2i2i00
χ4922-2-22-22-122-2-22-2-211-122-2-2-12-2-1111-12-2-1-11-1-11110000-1100-1100003−33−33−33−33−33−32-22-2000000000000003−33−3-11-110000000000
χ5022-2-22-22-122-2-22-2-211-122-2-2-12-2-1111-12-2-1-11-1-11110000-1100-1100003−33−33−33−33−33−3-22-2200000000000000−33−331-11-10000000000
χ5122-2-22-22-122-2-22-2-211-122-2-2-12-2-1111-12-2-1-11-1-11110000-1100-110000−33−33−33−33−33−332-22-200000000000000−33−33-11-110000000000
χ5222-2-22-22-122-2-22-2-211-122-2-2-12-2-1111-12-2-1-11-1-11110000-1100-110000−33−33−33−33−33−33-22-22000000000000003−33−31-11-10000000000
χ5322-2-2-22222-22-22-2-2-2-2222-2-22-22-22-2-22-222-2222-2-2-20000-2200-2200000000000000002-2-220000000000000000002-2-220000000000
χ5422-2-2-22222-22-22-2-2-2-2222-2-22-22-22-2-22-222-2222-2-2-20000-2200-220000000000000000-222-2000000000000000000-222-20000000000
χ5522-2-2-2222-22-222-2-2-2-22-2-2222-22-22-2-222-2-22-2-2-22220000-22002-200000000000000000000000000000000000000000000002i−2i−2i2i00
χ5622-2-2-2222-22-222-2-2-2-22-2-2222-22-22-2-222-2-22-2-2-22220000-22002-20000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5722-2-2-222-12-22-22-2-211-122-2-2-1-221-111-1-22-11-1-1-111100001-1001-100003−33−33−3−33−33−332-2-22000000000000003−3−33-111-10000000000
χ5822-2-2-222-12-22-22-2-211-122-2-2-1-221-111-1-22-11-1-1-111100001-1001-100003−33−33−3−33−33−33-222-200000000000000−333−31-1-110000000000
χ5922-2-2-222-12-22-22-2-211-122-2-2-1-221-111-1-22-11-1-1-111100001-1001-10000−33−33−333−33−33−32-2-2200000000000000−333−3-111-10000000000
χ6022-2-2-222-12-22-22-2-211-122-2-2-1-221-111-1-22-11-1-1-111100001-1001-10000−33−33−333−33−33−3-222-2000000000000003−3−331-1-110000000000
χ614444444-2-4-4-4-4444-2-2-2-4-4-4-4-244-2-2-2-2-2-4-4222222220000-2-200220000000000000000000000000000000000000000000000000000
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
χ664444-4-44-2-444-4444-2-2-2-4-4-4-4-2-4-422-2-2-2442-2-22222200002200-2-20000000000000000000000000000000000000000000000000000
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
χ7144-4-44-44-2-4-4444-4-422-2-4-444-24-4-2222-2-4422-222-2-2-20000-22002-20000000000000000000000000000000000000000000000000000
χ7244-4-44-4-2444-4-4-222-4-44-2-222-2-224-422-2-2244-4-2-2-4220000-2200-220000000000000000000000000000000000000000000000000000
χ7344-4-44-4-24-4-444-222-4-4422-2-2-2-224-422-22-2-4-44224-2-20000-22002-20000000000000000000000000000000000000000000000000000
χ7444-4-44-4-2-244-4-4-22222-2-2-2221-22-22-1-11-22-2-22112-1-100001-1001-1000023−23−33−3323−23−33−33000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4-22222-2-2-2221-22-22-1-11-22-2-22112-1-100001-1001-10000−23233−33−3−23233−33−3000000000000000000000000000000000000
χ7644-4-44-4-2-2-4-444-22222-222-2-21-22-22-1-112-222-2-1-1-21100001-100-110000003-3-33003-3-33000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444-22222-222-2-21-22-22-1-112-222-2-1-1-21100001-100-11000000-333-300-333-3000000000000000000000000000000000000
χ7844-4-4-444-2-44-444-4-422-2-4-444-2-442-222-24-42-2222-2-2-200002-200-220000000000000000000000000000000000000000000000000000
χ7944-4-4-44-244-44-4-222-4-44-2-222-22-2-4422-22-24-44-2-2-42200002-2002-20000000000000000000000000000000000000000000000000000
χ8044-4-4-44-24-44-44-222-4-4422-2-2-22-2-4422-2-22-44-4224-2-200002-200-220000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-22222-2-2-22212-22-2-1-112-2-22-2112-1-10000-1100-11000023−23−33−33−23233−33−3000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-22222-2-2-22212-22-2-1-112-2-22-2112-1-10000-1100-110000−23233−33−323−23−33−33000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-22222-222-2-212-22-2-1-11-222-22-1-1-2110000-11001-10000003-3-3300-333-3000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-22222-222-2-212-22-2-1-11-222-22-1-1-2110000-11001-1000000-333-3003-3-33000000000000000000000000000000000000
χ854-44-400440000-44-44-4-40000400004-4-400000000004-40000000000000000000000000000004-40000000000000000000000000000
χ864-44-400440000-44-44-4-40000400004-4-40000000000-44000000000000000000000000000000-440000000000000000000000000000
χ874-44-400-2400002-224-4-423−2323−23-20000-2220000023−23023−234-4000000000000000000000000000000-2223−2300000000000000000000000000
χ884-44-400-2400002-224-4-423−2323−23-20000-2220000023−23023−23-440000000000000000000000000000002-2−232300000000000000000000000000
χ894-44-400-2400002-224-4-4−2323−2323-20000-22200000−23230−23234-4000000000000000000000000000000-22−232300000000000000000000000000
χ904-44-400-2400002-224-4-4−2323−2323-20000-22200000−23230−2323-440000000000000000000000000000002-223−2300000000000000000000000000
χ914-4-4400440000-4-44-44-4000040000-44-40000000000004i−4i000000000000000000000000000000004i−4i000000000000000000000000
χ924-4-4400440000-4-44-44-4000040000-44-4000000000000−4i4i00000000000000000000000000000000−4i4i000000000000000000000000
χ934-4-4400-24000022-2-44-423−23−2323-200002-220000023−230−2323004i−4i00000000000000000000000000000000−2i2i−2i32i30000000000000000000000
χ944-4-4400-24000022-2-44-423−23−2323-200002-220000023−230−232300−4i4i000000000000000000000000000000002i−2i2i3−2i30000000000000000000000
χ954-4-4400-24000022-2-44-4−232323−23-200002-2200000−2323023−23004i−4i00000000000000000000000000000000−2i2i2i3−2i30000000000000000000000
χ964-4-4400-24000022-2-44-4−232323−23-200002-2200000−2323023−2300−4i4i000000000000000000000000000000002i−2i−2i32i30000000000000000000000
χ978-88-8008-40000-88-8-4440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-400004-44-44443−4343−43200002-2-200000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004-44-444−4343−4343200002-2-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-8-884-440000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-4000044-44-4443−43−434320000-22-200000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044-44-44−434343−4320000-22-20000023−230−232300000000000000000000000000000000000000000000000000000000000000

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