Finite Group Databasebeta

← Group #11864457

Character table — Group #11864457

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424242244444488882424242424242424446612121212121212121212224422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-11111-1-1
χ91111-1-111-1-11111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-11-11-111-1-11-111-1-111-1-11-1
χ101111-1-111-1-11111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-11-11-1-1-11111-1-11111-1-1-1-1-111-1-1-1111-1-1-111-1-111-11
χ111111-1-111-1-11111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-111111-1-1111-1-1-1111-1-1-1-111-11
χ121111-1-111-1-11111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-11-11-1-111-11-1-11111-1-11-1
χ131111-1-111-1-11111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-11111111-11-111-1-1-1-111-1-1-1-11111-111-1-1-1111-111-1-111-1-1-11
χ141111-1-111-1-11111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-11111111-11-1-1-111-1-111-1-1-1-111111-11-111-1-11-1-1-111-1-1111-1
χ151111-1-111-1-11111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-11-1111-1-111-1-11111-1-1-1-1-11-11-1-111-1111-1-1-1-1111-1
χ161111-1-111-1-11111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-11-11-1-11111-1-11111-1-1-1-11-1-1111-1-1-11-1-11111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-2-220000000000000000002-20000-220000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-222-2000000000000000000-2200002-20000000000
χ192222222-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002222-1-1-1-1-1-1-1-100-1-10000-1-10000000000
χ202222222-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2-2-21111111100110000110000000000
χ212222222-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122220000-2-2-2-21111111100-1-10000-1-10000000000
χ222222222-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-200002222-1-1-1-1-1-1-1-100110000110000000000
χ232222222-1-2-2-2-2-1-122-121111-122-1-1-1-1-111-2-2-211-211-1-100113−33−30033−3−30033−3−32-2-220000000033−3−333−3−300-1100001-10000000000
χ242222222-1-2-2-2-2-1-122-121111-122-1-1-1-1-111-2-2-211-211-1-100113−33−30033−3−30033−3−3-222-200000000−3−333−3−333001-10000-110000000000
χ252222222-1-2-2-2-2-1-122-121111-122-1-1-1-1-111-2-2-211-211-1-10011−33−3300−3−33300−3−3332-2-2200000000−3−333−3−33300-1100001-10000000000
χ262222222-1-2-2-2-2-1-122-121111-122-1-1-1-1-111-2-2-211-211-1-10011−33−3300−3−33300−3−333-222-20000000033−3−333−3−3001-10000-110000000000
χ27222222-12222222-1-12-12222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000002200-1-1-1-100-1-1-1-1000000
χ28222222-12222222-1-12-12222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2001111001111000000
χ29222222-12222222-1-12-12222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100002222000000000000-2-200111100-1-1-1-1000000
χ30222222-12222222-1-12-12222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20000000000002200-1-1-1-1001111000000
χ312222-2-22222-2-2222222-2-2-2-22-2-2-2-222222-222-2-2-2-2-2-2-20022000000000000000022-2-2000000000000000000220000-2-20000000000
χ322222-2-22222-2-2222222-2-2-2-22-2-2-2-222222-222-2-2-2-2-2-2-200220000000000000000-2-222000000000000000000-2-20000220000000000
χ332222-2-22-122-2-2-1-122-121111-1-2-211-1-1-1-1-1-22211-2111100-1-13−3−330033−3−300−3−33322-2-20000000033−3−3−3−33300-1-10000110000000000
χ342222-2-22-122-2-2-1-122-121111-1-2-211-1-1-1-1-1-22211-2111100-1-13−3−330033−3−300−3−333-2-22200000000−3−33333−3−300110000-1-10000000000
χ352222-2-22-122-2-2-1-122-121111-1-2-211-1-1-1-1-1-22211-2111100-1-1−333−300−3−3330033−3−322-2-200000000−3−33333−3−300-1-10000110000000000
χ362222-2-22-122-2-2-1-122-121111-1-2-211-1-1-1-1-1-22211-2111100-1-1−333−300−3−3330033−3−3-2-2220000000033−3−3−3−33300110000-1-10000000000
χ372222-2-22-1-2-222-1-122-12-1-1-1-1-1-2-211-1-1-1112-2-2-1-12-1-1112-211-1-11122-1-1-1-1-2-211112-22-2000022-2-2-1-1-1-1111100-110000-110000000000
χ382222-2-22-1-2-222-1-122-12-1-1-1-1-1-2-211-1-1-1112-2-2-1-12-1-1112-211-1-11122-1-1-1-1-2-21111-22-220000-2-2221111-1-1-1-1001-100001-10000000000
χ392222-2-22-1-2-222-1-122-12-1-1-1-1-1-2-211-1-1-1112-2-2-1-12-1-111-221111-1-1-2-2111122-1-1-1-12-22-20000-2-2221111-1-1-1-100-110000-110000000000
χ402222-2-22-1-2-222-1-122-12-1-1-1-1-1-2-211-1-1-1112-2-2-1-12-1-111-221111-1-1-2-2111122-1-1-1-1-22-22000022-2-2-1-1-1-11111001-100001-10000000000
χ412222-2-2-12-2-22222-1-12-12222-111-2-2-1-1-1-2-2-111-1-1-1-1-1112-21122-2-2-1-1-1-1-1-1111111000022-2-20000000000002-200-1-11100-1-111000000
χ422222-2-2-12-2-22222-1-12-12222-111-2-2-1-1-1-2-2-111-1-1-1-1-1112-21122-2-2-1-1-1-1-1-11111110000-2-222000000000000-220011-1-10011-1-1000000
χ432222-2-2-12-2-22222-1-12-12222-111-2-2-1-1-1-2-2-111-1-1-1-1-111-2211-2-222111111-1-1-1-1-1-1000022-2-2000000000000-220011-1-100-1-111000000
χ442222-2-2-12-2-22222-1-12-12222-111-2-2-1-1-1-2-2-111-1-1-1-1-111-2211-2-222111111-1-1-1-1-1-10000-2-2220000000000002-200-1-1110011-1-1000000
χ452-2-222-2222-22-2-2-2-2-22222-2-222-22-2-2-222-2-22-2-2-22222-2002-2000000000000000000000000000000000000000000000000002-22-200
χ462-2-222-2222-22-2-2-2-2-22222-2-222-22-2-2-222-2-22-2-2-22222-2002-200000000000000000000000000000000000000000000000000-22-2200
χ472-2-222-222-22-22-2-2-2-222-2-22222-22-2-2-22-222-2222-2-2-22-200-22000000000000000000002-22-200000000000000000000002-22-2000000
χ482-2-222-222-22-22-2-2-2-222-2-22222-22-2-2-22-222-2222-2-2-22-200-2200000000000000000000-22-220000000000000000000000-22-22000000
χ492-2-222-2-12-22-22-2-2112-1-2-222-1-112-211-1-22-11-1-1-1111-11001-100003−33−33−33−33−33−300002-22-200000000000000003−33−300-11-11000000
χ502-2-222-2-12-22-22-2-2112-1-2-222-1-112-211-1-22-11-1-1-1111-11001-100003−33−33−33−33−33−30000-22-220000000000000000−33−33001-11-1000000
χ512-2-222-2-12-22-22-2-2112-1-2-222-1-112-211-1-22-11-1-1-1111-11001-10000−33−33−33−33−33−3300002-22-20000000000000000−33−3300-11-11000000
χ522-2-222-2-12-22-22-2-2112-1-2-222-1-112-211-1-22-11-1-1-1111-11001-10000−33−33−33−33−33−330000-22-2200000000000000003−33−3001-11-1000000
χ532-2-22-22222-2-22-2-2-2-222-2-2222-22-22-2-222-222-222-2-2-2-22002-2000000000000000000002-2-2200000000000000000000002-2-22000000
χ542-2-22-22222-2-22-2-2-2-222-2-2222-22-22-2-222-222-222-2-2-2-22002-200000000000000000000-222-20000000000000000000000-222-2000000
χ552-2-22-2222-222-2-2-2-2-22222-2-22-22-22-2-22-22-2-22-2-2222-2200-22000000000000000000000000000000000000000000000000002-2-2200
χ562-2-22-2222-222-2-2-2-2-22222-2-22-22-22-2-22-22-2-22-2-2222-2200-2200000000000000000000000000000000000000000000000000-222-200
χ572-2-22-22-122-2-22-2-2112-1-2-222-11-1-2211-12-2-1-11-1-11111-100-1100003−33−33−3−33−33−3300002-2-2200000000000000003−3−3300-111-1000000
χ582-2-22-22-122-2-22-2-2112-1-2-222-11-1-2211-12-2-1-11-1-11111-100-1100003−33−33−3−33−33−330000-222-20000000000000000−333−3001-1-11000000
χ592-2-22-22-122-2-22-2-2112-1-2-222-11-1-2211-12-2-1-11-1-11111-100-110000−33−33−333−33−33−300002-2-220000000000000000−333−300-111-1000000
χ602-2-22-22-122-2-22-2-2112-1-2-222-11-1-2211-12-2-1-11-1-11111-100-110000−33−33−333−33−33−30000-222-200000000000000003−3−33001-1-11000000
χ61444444-24-4-4-4-444-2-24-2-4-4-4-4-2-2-244-2-2-2-4-422222222-2-2002200000000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-211114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-21111-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-12-1-11100-1-123−2323−2300−3−33300−3−3330000000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-12-1-11100-1-1−2323−23230033−3−30033−3−30000000000000000000000000000000000000000
χ664444-4-4-2444-4-444-2-24-2-4-4-4-4-222-4-4-2-2-2442-2-2222222200-2-200000000000000000000000000000000000000000000000000000000
χ674444-4-4-2-244-4-4-2-2-2-2-2-2222212222111-2-22-2-2-1-12-1-1-1-1001123−23−232300−3−3330033−3−30000000000000000000000000000000000000000
χ684444-4-4-2-244-4-4-2-2-2-2-2-2222212222111-2-22-2-2-1-12-1-1-1-10011−232323−230033−3−300−3−3330000000000000000000000000000000000000000
χ694444-4-4-2-2-4-444-2-2-2-2-2-2-2-2-2-21222211122-22211-211-1-14-4-1-1-2-222-2-2111122-1-1-1-10000000000000000000000000000000000000000
χ704444-4-4-2-2-4-444-2-2-2-2-2-2-2-2-2-21222211122-22211-211-1-1-44-1-122-2-222-1-1-1-1-2-211110000000000000000000000000000000000000000
χ7144-4-4004400004-44-4-4-40000400004-4-4000000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000
χ7244-4-4004400004-44-4-4-40000400004-4-40000000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000
χ7344-4-4004-20000-224-42-423−2323−23-20000-2220000023−23023−2300000000000000000000000000000000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000
χ7444-4-4004-20000-224-42-423−2323−23-20000-2220000023−23023−23000000000000000000000000000000002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000
χ7544-4-4004-20000-224-42-4−2323−2323-20000-22200000−23230−232300000000000000000000000000000000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000
χ7644-4-4004-20000-224-42-4−2323−2323-20000-22200000−23230−2323000000000000000000000000000000002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000
χ774-44-400440000-44-44-4-4000040000-44-40000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ784-44-400440000-44-44-4-4000040000-44-400000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ794-44-4004-200002-2-442-423−23−2323-200002-2200000−2323023−23000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000
χ804-44-4004-200002-2-442-423−23−2323-200002-2200000−2323023−230000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000
χ814-44-4004-200002-2-442-4−232323−23-200002-220000023−230−2323000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000
χ824-44-4004-200002-2-442-4−232323−23-200002-220000023−230−23230000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000
χ834-4-444-44-24-44-422-4-4-24-2-222-24-4-2222-2-22-44-4224-2-2-2200-2200000000000000000000000000000000000000000000000000000000
χ844-4-444-44-2-44-4422-4-4-2422-2-2-24-4-2222-22-24-44-2-2-422-22002-200000000000000000000000000000000000000000000000000000000
χ854-4-444-4-244-44-4-4-4224-244-4-4-2-224-422-24-42-2222-2-2-2-2200-2200000000000000000000000000000000000000000000000000000000
χ864-4-444-4-2-24-44-42222-2-2-2-2221-22-22-1-11-222-22-1-1-2111-1001-10000003-3-33003-3-330000000000000000000000000000000000000000
χ874-4-444-4-2-24-44-42222-2-2-2-2221-22-22-1-11-222-22-1-1-2111-1001-1000000-333-300-333-30000000000000000000000000000000000000000
χ884-4-444-4-2-2-44-442222-2-222-2-21-22-22-1-112-2-22-2112-1-11-100-11000023−23−33−3323−23−33−330000000000000000000000000000000000000000
χ894-4-444-4-2-2-44-442222-2-222-2-21-22-22-1-112-2-22-2112-1-11-100-110000−23233−33−3−23233−33−30000000000000000000000000000000000000000
χ904-4-44-444-24-4-4422-4-4-2422-2-2-2-442-222-2-2244-4-2-2-4222-200-2200000000000000000000000000000000000000000000000000000000
χ914-4-44-444-2-444-422-4-4-24-2-222-2-442-222-22-2-4-44224-2-22-2002-200000000000000000000000000000000000000000000000000000000
χ924-4-44-44-24-444-4-4-4224-244-4-4-22-2-4422-2-4422-222-2-2-22-2002-200000000000000000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-442222-2-222-2-212-22-2-1-11-22-2-22112-1-1-11001-1000023−23−33−33−23233−33−30000000000000000000000000000000000000000
χ944-4-44-44-2-24-4-442222-2-222-2-212-22-2-1-11-22-2-22112-1-1-11001-10000−23233−33−323−23−33−330000000000000000000000000000000000000000
χ954-4-44-44-2-2-444-42222-2-2-2-22212-22-2-1-112-222-2-1-1-211-1100-110000003-3-3300-333-30000000000000000000000000000000000000000
χ964-4-44-44-2-2-444-42222-2-2-2-22212-22-2-1-112-222-2-1-1-211-1100-11000000-333-3003-3-330000000000000000000000000000000000000000
χ9788-8-800-4800008-8-44-840000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−43200002-2-200000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−4343200002-2-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-480000-884-4-840000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-44-44443−43−434320000-22-20000023−230−232300000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-44-444−434343−4320000-22-200000−2323023−2300000000000000000000000000000000000000000000000000000000000000

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