Finite Group Databasebeta

← Group #11866292

Character table — Group #11866292

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444444448888242424242424242444121212121212121212121212222224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-111-11
χ111111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-11111-1-111-1-1-1-111-11
χ121111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-11-1-111-1-111-1-11111-1-11-1
χ131111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-11111-1-1-11
χ141111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111111-111-1-1-1-11111-1-1-1-1111-1
χ151111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1111-1
χ161111-1-1111-1-1111111111111-1-1-1-1111-1-11-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-11111-1-1-1-11-1-1-111-1-11111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-22-20000000000000000002-22-200000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-22000000000000000000-22-2200000000000000
χ192222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000220000-1-1-1-1-1-1-1-1000000
χ202222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000011111111000000
χ212222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100002222000000000000-2-20000-1-1-1-11111000000
χ222222222-12222222-1-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20000000000002200001111-1-1-1-1000000
χ23222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200002222-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ24222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-2-2-21111111100111100000000000000
χ25222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122220000-2-2-2-21111111100-1-1-1-100000000000000
χ26222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-21111-2-2-2-200002222-1-1-1-1-1-1-1-100111100000000000000
χ27222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-211-211-1-100113−33−30033−3−30033−3−32-22-20000000033−3−333−3−300-11-1100000000000000
χ28222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-211-211-1-100113−33−30033−3−30033−3−3-22-2200000000−3−333−3−333001-11-100000000000000
χ29222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-211-211-1-10011−33−3300−3−33300−3−3332-22-200000000−3−333−3−33300-11-1100000000000000
χ30222222-12-2-2-2-2-1-1-12221111-1-1-122-1-1-111-2-2-211-211-1-10011−33−3300−3−33300−3−333-22-220000000033−3−333−3−3001-11-100000000000000
χ312222-2-222-222-2222222-2-2-2-22-2-2-2-222222-222-2-2-2-2-2-2-2002200000000000000002-2-220000000000000000002-2-2200000000000000
χ322222-2-222-222-2222222-2-2-2-22-2-2-2-222222-222-2-2-2-2-2-2-200220000000000000000-222-2000000000000000000-222-200000000000000
χ332222-2-22-12-2-22222-1-1-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-1112-21122-2-2-1-1-1-1-1-1111111000022-2-20000000000002-20000-1-111-1-111000000
χ342222-2-22-12-2-22222-1-1-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-1112-21122-2-2-1-1-1-1-1-11111110000-2-222000000000000-22000011-1-111-1-1000000
χ352222-2-22-12-2-22222-1-1-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-111-2211-2-222111111-1-1-1-1-1-1000022-2-2000000000000-220000-1-11111-1-1000000
χ362222-2-22-12-2-22222-1-1-12222-1-2-211-1-1-1-2-2-111-1-1-1-1-111-2211-2-222111111-1-1-1-1-1-10000-2-2220000000000002-2000011-1-1-1-111000000
χ372222-2-2-122-2-22-1-1-1222-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-1112-211-1-11122-1-1-1-1-2-2111122-2-2000022-2-2-1-1-1-1111100-1-11100000000000000
χ382222-2-2-122-2-22-1-1-1222-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-1112-211-1-11122-1-1-1-1-2-21111-2-2220000-2-2221111-1-1-1-10011-1-100000000000000
χ392222-2-2-122-2-22-1-1-1222-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-111-221111-1-1-2-2111122-1-1-1-122-2-20000-2-2221111-1-1-1-100-1-11100000000000000
χ402222-2-2-122-2-22-1-1-1222-1-1-1-1-111-2-2-1-1-1112-2-2-1-12-1-111-221111-1-1-2-2111122-1-1-1-1-2-222000022-2-2-1-1-1-111110011-1-100000000000000
χ412222-2-2-12-222-2-1-1-12221111-111-2-2-1-1-1-1-1-22211-2111100-1-13−3−330033−3−300−3−3332-2-220000000033−3−3−3−33300-111-100000000000000
χ422222-2-2-12-222-2-1-1-12221111-111-2-2-1-1-1-1-1-22211-2111100-1-13−3−330033−3−300−3−333-222-200000000−3−33333−3−3001-1-1100000000000000
χ432222-2-2-12-222-2-1-1-12221111-111-2-2-1-1-1-1-1-22211-2111100-1-1−333−300−3−3330033−3−32-2-2200000000−3−33333−3−300-111-100000000000000
χ442222-2-2-12-222-2-1-1-12221111-111-2-2-1-1-1-1-1-22211-2111100-1-1−333−300−3−3330033−3−3-222-20000000033−3−3−3−333001-1-1100000000000000
χ452-2-222-22222-2-22-2-2-2-2222-2-222-22-2-2-222-222-222-2-2-22-2002-2000000000000000000002i−2i2i−2i0000000000000000002i−2i2i−2i0000000000
χ462-2-222-22222-2-22-2-2-2-2222-2-222-22-2-2-222-222-222-2-2-22-2002-200000000000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000
χ472-2-222-222-2-2222-2-2-2-22-2-22222-22-2-2-22-22-2-22-2-22222-200-22000000000000000000000000000000000000000000000000002-22-200
χ482-2-222-222-2-2222-2-2-2-22-2-22222-22-2-2-22-22-2-22-2-22222-200-2200000000000000000000000000000000000000000000000000-22-2200
χ492-2-222-22-122-2-22-2-211-122-2-2-12-2-1111-12-2-1-11-1-1111-1100-1100003−33−33−33−33−33−300002i−2i2i−2i000000000000000000−ii−ii−i3i3−i3i3000000
χ502-2-222-22-122-2-22-2-211-122-2-2-12-2-1111-12-2-1-11-1-1111-1100-1100003−33−33−33−33−33−30000−2i2i−2i2i000000000000000000i−ii−ii3−i3i3−i3000000
χ512-2-222-22-122-2-22-2-211-122-2-2-12-2-1111-12-2-1-11-1-1111-1100-110000−33−33−33−33−33−3300002i−2i2i−2i000000000000000000−ii−iii3−i3i3−i3000000
χ522-2-222-22-122-2-22-2-211-122-2-2-12-2-1111-12-2-1-11-1-1111-1100-110000−33−33−33−33−33−330000−2i2i−2i2i000000000000000000i−ii−i−i3i3−i3i3000000
χ532-2-22-22222-22-22-2-2-2-2222-2-22-22-22-2-22-222-2222-2-2-2-2200-22000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000
χ542-2-22-22222-22-22-2-2-2-2222-2-22-22-22-2-22-222-2222-2-2-2-2200-2200000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
χ552-2-22-2222-22-222-2-2-2-22-2-2222-22-22-2-222-2-22-2-2-2222-22002-2000000000000000000000000000000000000000000000000002-2-2200
χ562-2-22-2222-22-222-2-2-2-22-2-2222-22-22-2-222-2-22-2-2-2222-22002-200000000000000000000000000000000000000000000000000-222-200
χ572-2-22-222-12-22-22-2-211-122-2-2-1-221-111-1-22-11-1-1-11111-1001-100003−33−33−3−33−33−3300002i−2i−2i2i000000000000000000−iii−i−i3i3i3−i3000000
χ582-2-22-222-12-22-22-2-211-122-2-2-1-221-111-1-22-11-1-1-11111-1001-100003−33−33−3−33−33−330000−2i2i2i−2i000000000000000000i−i−iii3−i3−i3i3000000
χ592-2-22-222-12-22-22-2-211-122-2-2-1-221-111-1-22-11-1-1-11111-1001-10000−33−33−333−33−33−300002i−2i−2i2i000000000000000000−iii−ii3−i3−i3i3000000
χ602-2-22-222-12-22-22-2-211-122-2-2-1-221-111-1-22-11-1-1-11111-1001-10000−33−33−333−33−33−30000−2i2i2i−2i000000000000000000i−i−ii−i3i3i3−i3000000
χ614444444-2-4-4-4-4444-2-2-2-4-4-4-4-244-2-2-2-2-2-4-422222222-2-2002200000000000000000000000000000000000000000000000000000000
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
χ664444-4-44-2-444-4444-2-2-2-4-4-4-4-2-4-422-2-2-2442-2-2222222200-2-200000000000000000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-2-2-2-2-21222211122-22211-211-1-14-4-1-1-2-222-2-2111122-1-1-1-10000000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-2-2-2-2-21222211122-22211-211-1-1-44-1-122-2-222-1-1-1-1-2-211110000000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-2222212222111-2-22-2-2-1-12-1-1-1-1001123−23−232300−3−3330033−3−30000000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-2222212222111-2-22-2-2-1-12-1-1-1-10011−232323−230033−3−300−3−3330000000000000000000000000000000000000000
χ7144-4-400440000-44-44-4-40000400004-4-4000000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000
χ7244-4-400440000-44-44-4-40000400004-4-40000000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000
χ7344-4-400-2400002-224-4-423−2323−23-20000-2220000023−23023−2300000000000000000000000000000000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000
χ7444-4-400-2400002-224-4-423−2323−23-20000-2220000023−23023−23000000000000000000000000000000002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000
χ7544-4-400-2400002-224-4-4−2323−2323-20000-22200000−23230−232300000000000000000000000000000000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000
χ7644-4-400-2400002-224-4-4−2323−2323-20000-22200000−23230−2323000000000000000000000000000000002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000
χ774-44-400440000-4-44-44-4000040000-44-40000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ784-44-400440000-4-44-44-4000040000-44-400000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ794-44-400-24000022-2-44-423−23−2323-200002-220000023−230−2323000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000
χ804-44-400-24000022-2-44-423−23−2323-200002-220000023−230−23230000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000
χ814-44-400-24000022-2-44-4−232323−23-200002-2200000−2323023−23000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000
χ824-44-400-24000022-2-44-4−232323−23-200002-2200000−2323023−230000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000
χ834-4-444-44-2-4-4444-4-422-2-4-444-24-4-2222-2-4422-222-2-2-2-22002-200000000000000000000000000000000000000000000000000000000
χ844-4-444-4-2444-4-4-222-4-44-2-222-2-224-422-2-2244-4-2-2-422-2200-2200000000000000000000000000000000000000000000000000000000
χ854-4-444-4-24-4-444-222-4-4422-2-2-2-224-422-22-2-4-44224-2-2-22002-200000000000000000000000000000000000000000000000000000000
χ864-4-444-4-2-244-4-4-22222-2-2-2221-22-22-1-11-22-2-22112-1-11-1001-1000023−23−33−3323−23−33−330000000000000000000000000000000000000000
χ874-4-444-4-2-244-4-4-22222-2-2-2221-22-22-1-11-22-2-22112-1-11-1001-10000−23233−33−3−23233−33−30000000000000000000000000000000000000000
χ884-4-444-4-2-2-4-444-22222-222-2-21-22-22-1-112-222-2-1-1-2111-100-110000003-3-33003-3-330000000000000000000000000000000000000000
χ894-4-444-4-2-2-4-444-22222-222-2-21-22-22-1-112-222-2-1-1-2111-100-11000000-333-300-333-30000000000000000000000000000000000000000
χ904-4-44-444-2-44-444-4-422-2-4-444-2-442-222-24-42-2222-2-2-22-200-2200000000000000000000000000000000000000000000000000000000
χ914-4-44-44-244-44-4-222-4-44-2-222-22-2-4422-22-24-44-2-2-4222-2002-200000000000000000000000000000000000000000000000000000000
χ924-4-44-44-24-44-44-222-4-4422-2-2-22-2-4422-2-22-44-4224-2-22-200-2200000000000000000000000000000000000000000000000000000000
χ934-4-44-44-2-24-44-4-22222-2-2-22212-22-2-1-112-2-22-2112-1-1-1100-11000023−23−33−33−23233−33−30000000000000000000000000000000000000000
χ944-4-44-44-2-24-44-4-22222-2-2-22212-22-2-1-112-2-22-2112-1-1-1100-110000−23233−33−323−23−33−330000000000000000000000000000000000000000
χ954-4-44-44-2-2-44-44-22222-222-2-212-22-2-1-11-222-22-1-1-211-11001-10000003-3-3300-333-30000000000000000000000000000000000000000
χ964-4-44-44-2-2-44-44-22222-222-2-212-22-2-1-11-222-22-1-1-211-11001-1000000-333-3003-3-330000000000000000000000000000000000000000
χ9788-8-8008-40000-88-8-4440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-400004-44-44443−4343−43200002-2-200000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004-44-444−4343−4343200002-2-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-8-884-440000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-4000044-44-4443−43−434320000-22-200000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4000044-44-44−434343−4320000-22-20000023−230−232300000000000000000000000000000000000000000000000000000000000000

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