Finite Group Databasebeta

← Group #11864610

Character table — Group #11864610

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122222334444666666121212122234466666661212121212121212121266666666661212121212121212121288882424242424242424244466881212121212122424242422222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-111-11-1-1-1-111-1-111-1-111-11-11
χ111111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-11-1-11-11111-1-111-1-1-1-111-11-11
χ121111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1111-1-111-1-11111-1-11-11-1
χ131111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11-11-1-1-111111-1-1-1-11111-1-1-11-11
χ141111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-11-111-1-11111-1-1-1-1111-11-1
χ151111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111111-1-111-11-1-111-1-1-1-111-1-1111-11-1
χ161111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111-11-1111-1-1-1-1-11111-1-111-1-1-11-11
χ1722222222-2-2-2-2222222-2-2-2-2002002222222-2-2-2-2-2-2-2-2-2-200002200000000-2-2000000000000000000000000000000000000002-2-22
χ1822222222-2-2-2-2222222-2-2-2-2002002222222-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000000000000000-222-2
χ192222222-122222-1-12-12-1-1-1-122-12222-1-1-1-1-1222-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12002-1-100-1-10000000000000000
χ202222222-122222-1-12-12-1-1-1-122-12222-1-1-1-1-1222-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-200-21100110000000000000000
χ212222222-122222-1-12-12-1-1-1-1-2-2-1-2-222-1-1-1-1-1222-1-1-1-1-12-1-2-211-1-11111-2-211-1-111112222-1-1-1-1-1-1-1-1-200-21100110000000000000000
χ222222222-122222-1-12-12-1-1-1-1-2-2-1-2-222-1-1-1-1-1222-1-1-1-1-12-1-2-211-1-11111-2-211-1-11111-2-2-2-2111111112002-1-100-1-10000000000000000
χ23222222-122222-122-12-1222222-122-1-122-1-1-1-1-1-12-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000220002200-1-1-1-1-1-1-1-100000000
χ24222222-122222-122-12-1222222-122-1-122-1-1-1-1-1-12-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000-2-2000-2-2001111111100000000
χ25222222-122222-122-12-12222-2-2-1-2-2-1-122-1-1-1-1-1-12-1-1-1-1-1211-2-2-1-1111111-2-2-1-11111000000000000022000-2-200-1-1-1-1111100000000
χ26222222-122222-122-12-12222-2-2-1-2-2-1-122-1-1-1-1-1-12-1-1-1-1-1211-2-2-1-1111111-2-2-1-111110000000000000-2-200022001111-1-1-1-100000000
χ272222-2-22222-2-2222222222200200-2-2-2-2222-222-22222-2-20000-2-200000000-2-20000000000000000000000000000000000000022-2-2
χ282222-2-22222-2-2222222222200200-2-2-2-2222-222-22222-2-20000-2-200000000-2-200000000000000000000000000000000000000-2-222
χ292222-2-22-1-2-2222-1-12-12111122-1-2-2-2-211-1-1-12-2-2-111112-122-1-111-1-1-1-1-2-211-1-1111122-2-2-1-1-1-11111200-2-1-100110000000000000000
χ302222-2-22-1-2-2222-1-12-12111122-1-2-2-2-211-1-1-12-2-2-111112-122-1-111-1-1-1-1-2-211-1-11111-2-2221111-1-1-1-1-20021100-1-10000000000000000
χ312222-2-22-1-2-2222-1-12-121111-2-2-122-2-211-1-1-12-2-2-111112-1-2-21111111122-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-20021100-1-10000000000000000
χ322222-2-22-1-2-2222-1-12-121111-2-2-122-2-211-1-1-12-2-2-111112-1-2-21111111122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1200-2-1-100110000000000000000
χ332222-2-2-12-2-222-122-12-1-2-2-2-222-1-2-211-2-2-1-1-1-11121111-12-1-12211-1-1-1-111-2-2-1-1111100000000000002-20002-200-1-111-1-11100000000
χ342222-2-2-12-2-222-122-12-1-2-2-2-222-1-2-211-2-2-1-1-1-11121111-12-1-12211-1-1-1-111-2-2-1-111110000000000000-22000-220011-1-111-1-100000000
χ352222-2-2-12-2-222-122-12-1-2-2-2-2-2-2-12211-2-2-1-1-1-11121111-1211-2-2111111-1-122-1-1-1-1-1-100000000000002-2000-2200-1-11111-1-100000000
χ362222-2-2-12-2-222-122-12-1-2-2-2-2-2-2-12211-2-2-1-1-1-11121111-1211-2-2111111-1-122-1-1-1-1-1-10000000000000-220002-20011-1-1-1-11100000000
χ372-2-222-2222-22-2-2-2-222-222-2-2002002-22-2-2-22-22-2222-2-22-200002-2000000002-200000000000000000000000000000000002-22-20000
χ382-2-222-2222-22-2-2-2-222-222-2-2002002-22-2-2-22-22-2222-2-22-200002-2000000002-20000000000000000000000000000000000-22-220000
χ392-2-222-222-22-22-2-2-222-2-2-2222-222-22-22-2-2-222-22-2-2-222-222-22-22-222-2-22-22-2-2222-2-200000000000000000000000000000000000000
χ402-2-222-222-22-22-2-2-222-2-2-222-222-222-22-2-2-222-22-2-2-222-22-22-222-2-2-222-22-22-22-2-22200000000000000000000000000000000000000
χ412-2-222-22-1-22-22-2112-1-211-1-12-2-12-22-2-1111-12-22111-1-1-2-12-2-11-11-1-1112-2-111-1-1-1110000−i3−i3i3i3−i3−i3i3i30000−i3i300−i3i30000000000000000
χ422-2-222-22-1-22-22-2112-1-211-1-12-2-12-22-2-1111-12-22111-1-1-2-12-2-11-11-1-1112-2-111-1-1-1110000i3i3−i3−i3i3i3−i3−i30000i3−i300i3−i30000000000000000
χ432-2-222-22-1-22-22-2112-1-211-1-1-22-1-222-2-1111-12-22111-1-1-2-1-221-1-1111-1-1-221-11-111-1-10000−i3−i3i3i3−i3−i3i3i30000i3−i300i3−i30000000000000000
χ442-2-222-22-1-22-22-2112-1-211-1-1-22-1-222-2-1111-12-22111-1-1-2-1-221-1-1111-1-1-221-11-111-1-10000i3i3−i3−i3i3i3−i3−i30000−i3i300−i3i30000000000000000
χ452-2-222-2-12-22-221-2-2-121-2-2222-2-12-2-112-211-1-11-1-211-1-112-112-2-11-1-111-112-21-1-1-11100000000000000000000003−33−33−33−300000000
χ462-2-222-2-12-22-221-2-2-121-2-2222-2-12-2-112-211-1-11-1-211-1-112-112-2-11-1-111-112-21-1-1-1110000000000000000000000−33−33−33−3300000000
χ472-2-222-2-12-22-221-2-2-121-2-222-22-1-22-112-211-1-11-1-211-1-1121-1-22-1111-1-11-1-221-111-1-100000000000000000000003−33−3−33−3300000000
χ482-2-222-2-12-22-221-2-2-121-2-222-22-1-22-112-211-1-11-1-211-1-1121-1-22-1111-1-11-1-221-111-1-10000000000000000000000−33−333−33−300000000
χ492-2-22-22222-2-22-2-2-222-222-2-22-22-22-22-22-2-2222-2-222-2-2-222-22-2-2222-2-2-22-22-22-2-22200000000000000000000000000000000000000
χ502-2-22-22222-2-22-2-2-222-222-2-2-2222-2-22-22-2-2222-2-222-2-2-22-22-22-22-2-2222-22-2-2222-2-200000000000000000000000000000000000000
χ512-2-22-2222-222-2-2-2-222-2-2-22200200-22-22-2-22-2-222-2-2222-20000-22000000002-200000000000000000000000000000000002-2-220000
χ522-2-22-2222-222-2-2-2-222-2-2-22200200-22-22-2-22-2-222-2-2222-20000-22000000002-20000000000000000000000000000000000-222-20000
χ532-2-22-222-12-2-22-2112-1-2-1-1112-2-1-22-221-111-122-21-1-111-2-12-2-111-1-1-111-221-11-111-1-10000−i3−i3i3i3i3i3−i3−i30000−i3i300i3−i30000000000000000
χ542-2-22-222-12-2-22-2112-1-2-1-1112-2-1-22-221-111-122-21-1-111-2-12-2-111-1-1-111-221-11-111-1-10000i3i3−i3−i3−i3−i3i3i30000i3−i300−i3i30000000000000000
χ552-2-22-222-12-2-22-2112-1-2-1-111-22-12-2-221-111-122-21-1-111-2-1-221-11-111-1-12-2-111-1-1-1110000−i3−i3i3i3i3i3−i3−i30000i3−i300−i3i30000000000000000
χ562-2-22-222-12-2-22-2112-1-2-1-111-22-12-2-221-111-122-21-1-111-2-1-221-11-111-1-12-2-111-1-1-1110000i3i3−i3−i3−i3−i3i3i30000−i3i300i3−i30000000000000000
χ572-2-22-22-122-2-221-2-2-12122-2-22-2-1-221-1-2211-1-1-11-2-1-11112-112-21-1-1-1111-1-221-111-1-100000000000000000000003−3−333−3−3300000000
χ582-2-22-22-122-2-221-2-2-12122-2-22-2-1-221-1-2211-1-1-11-2-1-11112-112-21-1-1-1111-1-221-111-1-10000000000000000000000−333−3−333−300000000
χ592-2-22-22-122-2-221-2-2-12122-2-2-22-12-21-1-2211-1-1-11-2-1-111121-1-221-111-1-1-112-21-1-1-11100000000000000000000003−3−33−333−300000000
χ602-2-22-22-122-2-221-2-2-12122-2-2-22-12-21-1-2211-1-1-11-2-1-111121-1-221-111-1-1-112-21-1-1-1110000000000000000000000−333−33−3−3300000000
χ614444444-2-4-4-4-44-2-24-24222200-20044-2-2-2-2-2-4-4-422222-420000-2-20000000022000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-244-24-2-4-4-4-400-200-2-244-2-2-2222-422222-40000-2-20000000022000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-244144-2-2-2-2111-2-2-2-21111-2-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-2-4-41-4-4-2-2-2-2111-2-2-2-21111-2-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2222200100-2-2-2-21112222-1-1-1-1220000113-33-30000-1-13-33-300000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-2222200100-2-2-2-21112222-1-1-1-122000011-33-330000-1-1-33-3300000000000000000000000000000000000000
χ674444-4-44-244-4-44-2-24-24-2-2-2-200-200-4-422-2-2-2-4442-2-2-2-2-420000220000000022000000000000000000000000000000000000000000
χ684444-4-4-2444-4-4-244-24-2444400-20022-4-4-2-2-22-2-2-4-2-2-2-22-40000220000000022000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-2-2-2-2-20010022221112-2-221111220000-1-13-33-30000-1-1-33-3300000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-2-2-2-2-20010022221112-2-221111220000-1-1-33-330000-1-13-33-300000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-22222441-4-42222111-222-2-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-22222-4-41442222111-222-2-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000000000
χ7344-4-40044000044-4-4-4-400000040000004-4-400000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000000000
χ7444-4-40044000044-4-4-4-400000040000004-4-4000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000000000
χ7544-4-4004-200004-22-42-423−2323−2300-2000000-222000023−2323−23000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i200000000000000000000000000
χ7644-4-4004-200004-22-42-423−2323−2300-2000000-222000023−2323−230000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i200000000000000000000000000
χ7744-4-4004-200004-22-42-4−2323−232300-2000000-2220000−2323−2323000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i200000000000000000000000000
χ7844-4-4004-200004-22-42-4−2323−232300-2000000-2220000−2323−23230000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i200000000000000000000000000
χ794-44-400440000-4-44-4-440000004000000-44-400000000000000000000000000000022−220022−22−2222000000000000000000000000000000
χ804-44-400440000-4-44-4-440000004000000-44-4000000000000000000000000000000−222200−222222−22000000000000000000000000000000
χ814-44-4004-20000-42-2-42423−23−232300-20000002-22000023−23−2323000000000000000000000022−2200−222−2−666−600000000000000000000000000
χ824-44-4004-20000-42-2-42423−23−232300-20000002-22000023−23−23230000000000000000000000−2222002−2−226−6−6600000000000000000000000000
χ834-44-4004-20000-42-2-424−232323−2300-20000002-220000−232323−23000000000000000000000022−2200−222−26−6−6600000000000000000000000000
χ844-44-4004-20000-42-2-424−232323−2300-20000002-220000−232323−230000000000000000000000−2222002−2−22−666−600000000000000000000000000
χ854-4-444-44-24-44-4-4224-2-4-2-22200-2004-4-2222-2-44-4-2-2-222420000-2200000000-22000000000000000000000000000000000000000000
χ864-4-444-4-244-44-42-4-4-24244-4-400-200-224-422-22-224-2-222-2-40000-2200000000-22000000000000000000000000000000000000000000
χ874-4-444-4-2-24-44-4222-2-22-2-22200100-22-22-1-112-22-211-1-1-2200001-13-3-3300001-13-3-3300000000000000000000000000000000000000
χ884-4-444-4-2-24-44-4222-2-22-2-22200100-22-22-1-112-22-211-1-1-2200001-1-333-300001-1-333-300000000000000000000000000000000000000
χ894-4-444-4-2-2-44-44222-2-2222-2-24-414-4-22-22-1-11-22-22-1-1112-2-22-221-111-1-1-22-22-1111-1-100000000000000000000000000000000000000
χ904-4-444-4-2-2-44-44222-2-2222-2-2-441-44-22-22-1-11-22-22-1-1112-22-22-21-1-1-1112-22-2-11-1-11100000000000000000000000000000000000000
χ914-4-44-444-2-444-4-4224-2-422-2-200-200-442-222-2-4-44-222-2-24200002-200000000-22000000000000000000000000000000000000000000
χ924-4-44-44-24-444-42-4-4-242-4-44400-2002-2-4422-222-2422-2-2-2-400002-200000000-22000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-44222-2-22-2-2224-41-442-22-2-1-11-2-22211-1-12-2-22-22-1111-1-12-22-2-11-1-11100000000000000000000000000000000000000
χ944-4-44-44-2-24-4-44222-2-22-2-222-4414-42-22-2-1-11-2-22211-1-12-22-22-2-11-1-111-22-22-1111-1-100000000000000000000000000000000000000
χ954-4-44-44-2-2-444-4222-2-2222-2-2001002-22-2-1-1122-2-2-1-111-220000-113-3-3300001-1-333-300000000000000000000000000000000000000
χ964-4-44-44-2-2-444-4222-2-2222-2-2001002-22-2-1-1122-2-2-1-111-220000-11-333-300001-13-3-3300000000000000000000000000000000000000
χ9788-8-800-480000-48-84-84000000-4000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4-4444443−4343−430020000002-2-20000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-4-44444−4343−43430020000002-2-2000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-4800004-884-8-4000000-40000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-4000044-444-443−43−4343002000000-22-20000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4000044-444-4−434343−43002000000-22-2000023−23−2323000000000000000000000000000000000000000000000000000000000000

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