Finite Group Databasebeta

← Group #11864367

Character table — Group #11864367

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12222233444466666612121212223446666666121212121212121212126666666666121212121212121212128888242424242424242444448812121212121212122424242422222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-11111-1-1
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111
χ91111-1-111-1-11111111111111-111-1-1-1-1-1111-1-111-1-1111111-1-1-1-111-1-11-11-1-1-111-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ101111-1-111-1-11111111111111-111-1-1-1-1-1111-1-111-1-1111111-1-1-1-111-1-11-11-1-1-111-1-111-1-11111-1-1-1-1-11-111-1-1-111-1-11111-1-1-1-1-1-11111
χ111111-1-111-1-11111111111111-111-1-1-1-1-1111-1-111-1-1111111-1-1-1-111-1-11-11-1-1-111-1-1-1-111-1-1-1-111111-11-1-1111-1-111-1-1-1-111-1-1-1-11111
χ121111-1-111-1-11111111111111-111-1-1-1-1-1111-1-111-1-1111111-1-1-1-111-1-11-11-1-1-111-1-1-1-111-1-1-1-11111-11-11-11-1-111-1-111-1-1111111-1-1-1-1
χ131111-1-111-1-1111111111111-111-11-1-1-1-1111-1-111-1-11111-1-111-1-1-1-111-11-11-1-1-1-11111-1-11111-1-1-1-11-1-11-1111-1-1-1-111-1-11111-1-111-1-1
χ141111-1-111-1-1111111111111-111-11-1-1-1-1111-1-111-1-11111-1-111-1-1-1-111-11-11-1-1-1-11111-1-11111-1-1-1-1-111-1-11-1-11111-1-1-1-111-1-111-1-111
χ151111-1-111-1-1111111111111-111-11-1-1-1-1111-1-111-1-11111-1-111-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-111111-1-111-111-1-1-1-11111-1-1-1-111-1-111
χ161111-1-111-1-1111111111111-111-11-1-1-1-1111-1-111-1-11111-1-111-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-11111-111-11-1-1-11111-1-111-1-111-1-111-1-1
χ1722222222-2-2-2-2222222-2-2-2-22-22-222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-22-22-2-2-2-22200000000000000000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2-2222-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222-22-2-2-222-2-200000000000000000000000000000000000000
χ192222222-12222222-1-1-1222222-12222-1-1-1-1-122-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000222200-1-1-1-1-1-1-1-1000000000000
χ202222222-12222222-1-1-1222222-12222-1-1-1-1-122-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-20011111111000000000000
χ212222222-12222222-1-1-12222-2-2-1-2-222-1-1-1-1-122-1-1-1-1-1-1-1-1-21-21-1-11111-2-211-1-1111100000000000022-2-200-1-1-1-11111000000000000
χ222222222-12222222-1-1-12222-2-2-1-2-222-1-1-1-1-122-1-1-1-1-1-1-1-1-21-21-1-11111-2-211-1-11111000000000000-2-222001111-1-1-1-1000000000000
χ232222222-1-2-2-2-2222-1-1-1-2-2-2-22-2-1-2222-1-1-1-1-1-2-2111111112-1-21-1-1-1-111-221-11111-1-1000000000000000000−i3i3−i3i3−i3i3−i3i3000000000000
χ242222222-1-2-2-2-2222-1-1-1-2-2-2-22-2-1-2222-1-1-1-1-1-2-2111111112-1-21-1-1-1-111-221-11111-1-1000000000000000000i3−i3i3−i3i3−i3i3−i3000000000000
χ252222222-1-2-2-2-2222-1-1-1-2-2-2-2-22-12-222-1-1-1-1-1-2-211111111-212-1-1-111-1-12-2-1111-1-111000000000000000000−i3i3−i3i3i3−i3i3−i3000000000000
χ262222222-1-2-2-2-2222-1-1-1-2-2-2-2-22-12-222-1-1-1-1-1-2-211111111-212-1-1-111-1-12-2-1111-1-111000000000000000000i3−i3i3−i3−i3i3−i3i3000000000000
χ27222222-122222-1-1-1222-1-1-1-122-122-1-122-1-1-1-1-12222-1-1-1-1-12-12-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000000-1-1-1-100000000
χ28222222-122222-1-1-1222-1-1-1-122-122-1-122-1-1-1-1-12222-1-1-1-1-12-12-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111110000-2-200000000111100000000
χ29222222-122222-1-1-1222-1-1-1-1-2-2-1-2-2-1-122-1-1-1-1-12222-1-1-1-11-21-2-1-1111111-2-2-1-111112222-1-1-1-1-1-1-1-10000-2-200000000111100000000
χ30222222-122222-1-1-1222-1-1-1-1-2-2-1-2-2-1-122-1-1-1-1-12222-1-1-1-11-21-2-1-1111111-2-2-1-11111-2-2-2-21111111100002200000000-1-1-1-100000000
χ31222222-12-2-2-2-2-1-1-122211112-2-1-22-1-122-1-1-111-2-2-2-21111-121-2-1-1-1-1111-1-221111-1-1000033−3−333−3−3000000000000003−33−300000000
χ32222222-12-2-2-2-2-1-1-122211112-2-1-22-1-122-1-1-111-2-2-2-21111-121-2-1-1-1-1111-1-221111-1-10000−3−333−3−33300000000000000−33−3300000000
χ33222222-12-2-2-2-2-1-1-12221111-22-12-2-1-122-1-1-111-2-2-2-211111-2-12-1-111-1-1-112-211-1-111000033−3−333−3−300000000000000−33−3300000000
χ34222222-12-2-2-2-2-1-1-12221111-22-12-2-1-122-1-1-111-2-2-2-211111-2-12-1-111-1-1-112-211-1-1110000−3−333−3−333000000000000003−33−300000000
χ352222-2-22222-2-2222222-2-2-2-2222-2-2-2-2-2-222222-2-222-2-2-2-22222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000000000
χ362222-2-22222-2-2222222-2-2-2-2-2-2222-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000000000
χ372222-2-22-122-2-2222-1-1-1-2-2-2-222-1-2-2-2-211-1-1-12211-1-111112-12-111-1-1-1-1-2-211-1-11111000000000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ382222-2-22-122-2-2222-1-1-1-2-2-2-222-1-2-2-2-211-1-1-12211-1-111112-12-111-1-1-1-1-2-211-1-11111000000000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ392222-2-22-122-2-2222-1-1-1-2-2-2-2-2-2-122-2-211-1-1-12211-1-11111-21-2111111122-1-1-1-1-1-1-1-1000000000000000000−i3i3i3−i3i3−i3−i3i3000000000000
χ402222-2-22-122-2-2222-1-1-1-2-2-2-2-2-2-122-2-211-1-1-12211-1-11111-21-2111111122-1-1-1-1-1-1-1-1000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000
χ412222-2-22-1-2-222222-1-1-122222-2-12-2-2-211-1-1-1-2-2-1-111-1-1-1-12-1-2111-1-1112-2-1111-1-1110000000000002-22-200-1-111-1-111000000000000
χ422222-2-22-1-2-222222-1-1-122222-2-12-2-2-211-1-1-1-2-2-1-111-1-1-1-12-1-2111-1-1112-2-1111-1-111000000000000-22-220011-1-111-1-1000000000000
χ432222-2-22-1-2-222222-1-1-12222-22-1-22-2-211-1-1-1-2-2-1-111-1-1-1-1-212-11111-1-1-221-11111-1-10000000000002-2-2200-1-11111-1-1000000000000
χ442222-2-22-1-2-222222-1-1-12222-22-1-22-2-211-1-1-1-2-2-1-111-1-1-1-1-212-11111-1-1-221-11111-1-1000000000000-222-20011-1-1-1-111000000000000
χ452222-2-2-1222-2-2-1-1-1222111122-1-2-211-2-2-1-1-1-1-1-2-2221111-12-1211-1-1-1-111-2-2-1-11111000033−3−3−3−333000000000000003−3−3300000000
χ462222-2-2-1222-2-2-1-1-1222111122-1-2-211-2-2-1-1-1-1-1-2-2221111-12-1211-1-1-1-111-2-2-1-111110000−3−33333−3−300000000000000−333−300000000
χ472222-2-2-1222-2-2-1-1-12221111-2-2-12211-2-2-1-1-1-1-1-2-22211111-21-2111111-1-122-1-1-1-1-1-1000033−3−3−3−33300000000000000−333−300000000
χ482222-2-2-1222-2-2-1-1-12221111-2-2-12211-2-2-1-1-1-1-1-2-22211111-21-2111111-1-122-1-1-1-1-1-10000−3−33333−3−3000000000000003−3−3300000000
χ492222-2-2-12-2-222-1-1-1222-1-1-1-12-2-12-211-2-2-1-1-11122-2-2-1-1-1-1-121-211-1-111-112-211-1-11122-2-2-1-1-1-1111100002-200000000-1-11100000000
χ502222-2-2-12-2-222-1-1-1222-1-1-1-12-2-12-211-2-2-1-1-11122-2-2-1-1-1-1-121-211-1-111-112-211-1-111-2-2221111-1-1-1-10000-220000000011-1-100000000
χ512222-2-2-12-2-222-1-1-1222-1-1-1-1-22-1-2211-2-2-1-1-11122-2-2-1-1-1-11-2-121111-1-11-1-221111-1-122-2-2-1-1-1-111110000-220000000011-1-100000000
χ522222-2-2-12-2-222-1-1-1222-1-1-1-1-22-1-2211-2-2-1-1-11122-2-2-1-1-1-11-2-121111-1-11-1-221111-1-1-2-2221111-1-1-1-100002-200000000-1-11100000000
χ532-2-222-2222-22-2-2-22-2-2222-2-2002002-22-2-2-222-22-22-222-2-200002-2000000002-20000000000000000000000000000000000002-22-200
χ542-2-222-2222-22-2-2-22-2-2222-2-2002002-22-2-2-222-22-22-222-2-200002-2000000002-2000000000000000000000000000000000000-22-2200
χ552-2-222-222-22-22-2-22-2-22-2-222002002-22-2-2-22-22-22-22-2-22200002-200000000-2200000000000000000000000000000000002-200002-2
χ562-2-222-222-22-22-2-22-2-22-2-222002002-22-2-2-22-22-22-22-2-22200002-200000000-220000000000000000000000000000000000-220000-22
χ572-2-22-22222-2-22-2-22-2-22-2-22200200-22-22-2-222-2-222-2-2-2220000-22000000002-200000000000000000000000000000000002-20000-22
χ582-2-22-22222-2-22-2-22-2-22-2-22200200-22-22-2-222-2-222-2-2-2220000-22000000002-20000000000000000000000000000000000-2200002-2
χ592-2-22-2222-222-2-2-22-2-2222-2-200200-22-22-2-22-222-2-2222-2-20000-2200000000-220000000000000000000000000000000000002-2-2200
χ602-2-22-2222-222-2-2-22-2-2222-2-200200-22-22-2-22-222-2-2222-2-20000-2200000000-22000000000000000000000000000000000000-222-200
χ61444444-2-24444-2-2-2-2-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-21111-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-2-4-41-4-4-2-2-2-2111-2-2-2-2-2-21111222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-222224-41-44-2-2-2-2111222222-1-1-1-1-2-2221111-1-12-22-2-1-1-1-11100000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-22222-4414-4-2-2-2-2111222222-1-1-1-122-2-211-1-111-22-22-1-111-1-100000000000000000000000000000000000000
χ654444-4-4-2-244-4-4-2-2-2-2-2-22222441-4-42222111-2-222-2-2-1-1-1-1-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000000000
χ664444-4-4-2-244-4-4-2-2-2-2-2-22222-4-41442222111-2-222-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000000000
χ674444-4-4-2-2-4-444-2-2-2-2-2-2-2-2-2-24-414-4222211122-2-2221111-2-222-1-111-1-1-22-22-1-111-1-100000000000000000000000000000000000000
χ684444-4-4-2-2-4-444-2-2-2-2-2-2-2-2-2-2-441-44222211122-2-222111122-2-2-1-1-1-1112-22-2-1-1-1-11100000000000000000000000000000000000000
χ6944-4-4004400004-4-44-4-400000040000004-4-400000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000000000
χ7044-4-4004400004-4-44-4-400000040000004-4-4000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000000000
χ7144-4-400-240000-2224-4-423−2323−2300-2000000-22200000023−2323−230000000000000000000000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000
χ7244-4-400-240000-2224-4-423−2323−2300-2000000-22200000023−2323−2300000000000000000000002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000
χ7344-4-400-240000-2224-4-4−2323−232300-2000000-222000000−2323−23230000000000000000000000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000
χ7444-4-400-240000-2224-4-4−2323−232300-2000000-222000000−2323−232300000000000000000000002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000
χ754-44-400440000-44-4-44-40000004000000-44-4000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000000000
χ764-44-400440000-44-4-44-40000004000000-44-40000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000000000
χ774-44-400-2400002-22-44-423−23−232300-20000002-2200000023−23−232300000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000
χ784-44-400-2400002-22-44-423−23−232300-20000002-2200000023−23−2323000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000
χ794-44-400-2400002-22-44-4−232323−2300-20000002-22000000−232323−2300000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000
χ804-44-400-2400002-22-44-4−232323−2300-20000002-22000000−232323−23000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000
χ814-4-444-44-24-44-4-4-4422-244-4-400-2004-4-2222-24-4-22-22-2-2220000-2200000000-22000000000000000000000000000000000000000000
χ824-4-444-44-2-44-44-4-4422-2-4-44400-2004-4-2222-2-442-22-222-2-20000-22000000002-2000000000000000000000000000000000000000000
χ834-4-444-4-244-44-422-2-4-44-2-22200-200-224-422-2-224-44-4-2-2220000-2200000000-22000000000000000000000000000000000000000000
χ844-4-444-4-24-44-4422-2-4-4422-2-200-200-224-422-22-2-44-4422-2-20000-22000000002-2000000000000000000000000000000000000000000
χ854-4-444-4-2-24-44-422-222-2-2-22200100-22-22-1-11-22-22-2211-1-100001-13-33-300001-13-33-300000000000000000000000000000000000000
χ864-4-444-4-2-24-44-422-222-2-2-22200100-22-22-1-11-22-22-2211-1-100001-1-33-3300001-1-33-3300000000000000000000000000000000000000
χ874-4-444-4-2-2-44-4422-222-222-2-200100-22-22-1-112-22-22-2-1-11100001-13-3-330000-11-333-300000000000000000000000000000000000000
χ884-4-444-4-2-2-44-4422-222-222-2-200100-22-22-1-112-22-22-2-1-11100001-1-333-30000-113-3-3300000000000000000000000000000000000000
χ894-4-44-444-24-4-44-4-4422-2-4-44400-200-442-222-24-42-2-2222-2-200002-200000000-22000000000000000000000000000000000000000000
χ904-4-44-444-2-444-4-4-4422-244-4-400-200-442-222-2-44-222-2-2-22200002-2000000002-2000000000000000000000000000000000000000000
χ914-4-44-44-244-4-4422-2-4-4422-2-200-2002-2-4422-2-22-444-422-2-200002-200000000-22000000000000000000000000000000000000000000
χ924-4-44-44-24-444-422-2-4-44-2-22200-2002-2-4422-22-24-4-44-2-22200002-2000000002-2000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-4422-222-222-2-2001002-22-2-1-11-222-2-22-1-1110000-113-33-300001-1-33-3300000000000000000000000000000000000000
χ944-4-44-44-2-24-4-4422-222-222-2-2001002-22-2-1-11-222-2-22-1-1110000-11-33-3300001-13-33-300000000000000000000000000000000000000
χ954-4-44-44-2-2-444-422-222-2-2-222001002-22-2-1-112-2-222-211-1-10000-113-3-330000-113-3-3300000000000000000000000000000000000000
χ964-4-44-44-2-2-444-422-222-2-2-222001002-22-2-1-112-2-222-211-1-10000-11-333-30000-11-333-300000000000000000000000000000000000000
χ9788-8-8008-400008-8-8-444000000-4000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−430020000002-2-2000000−2323−23230000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−43430020000002-2-200000023−2323−230000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-88-84-44000000-40000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-444-4443−43−4343002000000-22-2000000−232323−230000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-444-44−434343−43002000000-22-200000023−23−23230000000000000000000000000000000000000000000000000000000000

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