Finite Group Databasebeta

← Group #11864453

Character table — Group #11864453

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222223344446666661212121222344666666612121212121212121212666666666612121212121212121212888824242424242424242244666688121212122424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1
χ91111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-111-1-11-111-1-111-1-11-111-1-11-1
χ101111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-111-1-1-111-1111-1-1-1-111-11-1-111-11
χ111111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-11-1-1-11111-1-1-11-1-111-11
χ121111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-11-1-111-1-1111-111-1-11-1
χ131111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11-1-1111-1-1-11-1-111-1-111-1111-1-1-11
χ141111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11-11-1-1111-1-1-11111-1-11-1-1-1111-1
χ151111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111-11-111-1-1-1111-1-1-1-1111-1-1-1111-1
χ161111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-111-1-1-1111-111-1-111-1-1-1111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-2002002222222-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000000000002-20000-22
χ1822222222-2-2-2-2222222-2-2-2-2002002222222-2-2-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000000000-2200002-2
χ192222222-12222-1-12-122222222-12222-1-1-1-1-12-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002200-1-1-1-1220000-1-1-1-100000000
χ202222222-12222-1-12-122222222-12222-1-1-1-1-12-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-2001111-2-20000111100000000
χ212222222-12222-1-12-1222222-2-2-1-2-222-1-1-1-1-12-1-1-1-1-1-1-12-1-2-211-1-11111-2-211-1-111110000000000002200-1-1-1-1-2-20000111100000000
χ222222222-12222-1-12-1222222-2-2-1-2-222-1-1-1-1-12-1-1-1-1-1-1-12-1-2-211-1-11111-2-211-1-11111000000000000-2-2001111220000-1-1-1-100000000
χ23222222-12222222-12-1-1-1-1-1-122-122-1-122-1-1-1-1222-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000000-1-1-1-1000000000000
χ24222222-12222222-12-1-1-1-1-1-122-122-1-122-1-1-1-1222-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111111100-2-20000001111000000000000
χ25222222-12222222-12-1-1-1-1-1-1-2-2-1-2-2-1-122-1-1-1-1222-1-1-1-1-1211-2-2-1-1111111-2-2-1-111112222-1-1-1-1-1-1-1-100-2-20000001111000000000000
χ26222222-12222222-12-1-1-1-1-1-1-2-2-1-2-2-1-122-1-1-1-1222-1-1-1-1-1211-2-2-1-1111111-2-2-1-11111-2-2-2-2111111110022000000-1-1-1-1000000000000
χ272222-2-22222-2-2222222222200200-2-2-2-2222-2-2222222-2-20000-2-200000000-2-20000000000000000000000000000000000220000-2-2
χ282222-2-22222-2-2222222222200200-2-2-2-2222-2-2222222-2-20000-2-200000000-2-20000000000000000000000000000000000-2-2000022
χ292222-2-22-1-2-222-1-12-122-2-2-2-222-1-2-2-2-211-1-1-12-11111112-122-1-111-1-1-1-1-2-211-1-111110000000000002-200-1-1112-20000-1-11100000000
χ302222-2-22-1-2-222-1-12-122-2-2-2-222-1-2-2-2-211-1-1-12-11111112-122-1-111-1-1-1-1-2-211-1-11111000000000000-220011-1-1-22000011-1-100000000
χ312222-2-22-1-2-222-1-12-122-2-2-2-2-2-2-122-2-211-1-1-12-11111112-1-2-21111111122-1-1-1-1-1-1-1-10000000000002-200-1-111-22000011-1-100000000
χ322222-2-22-1-2-222-1-12-122-2-2-2-2-2-2-122-2-211-1-1-12-11111112-1-2-21111111122-1-1-1-1-1-1-1-1000000000000-220011-1-12-20000-1-11100000000
χ332222-2-2-12-2-22222-12-1-1111122-1-2-211-2-2-1-1-1-12-2-21111-12-1-12211-1-1-1-111-2-2-1-1111122-2-2-1-1-1-11111002-2000000-1-111000000000000
χ342222-2-2-12-2-22222-12-1-1111122-1-2-211-2-2-1-1-1-12-2-21111-12-1-12211-1-1-1-111-2-2-1-11111-2-2221111-1-1-1-100-2200000011-1-1000000000000
χ352222-2-2-12-2-22222-12-1-11111-2-2-12211-2-2-1-1-1-12-2-21111-1211-2-2111111-1-122-1-1-1-1-1-122-2-2-1-1-1-1111100-2200000011-1-1000000000000
χ362222-2-2-12-2-22222-12-1-11111-2-2-12211-2-2-1-1-1-12-2-21111-1211-2-2111111-1-122-1-1-1-1-1-1-2-2221111-1-1-1-1002-2000000-1-111000000000000
χ372-2-222-2222-22-2-2-222-2-222-2-2002002-22-2-2-22-222-222-2-22-200002-2000000002-20000000000000000000000000000000000002-22-200
χ382-2-222-2222-22-2-2-222-2-222-2-2002002-22-2-2-22-222-222-2-22-200002-2000000002-2000000000000000000000000000000000000-22-2200
χ392-2-222-222-22-22-2-222-2-2-2-2222-222-22-22-2-2-222-2-22-2-222-222-22-22-222-2-22-22-2-2222-2-200000000000000000000000000000000000000
χ402-2-222-222-22-22-2-222-2-2-2-222-222-222-22-2-2-222-2-22-2-222-22-22-222-2-2-222-22-22-22-2-22200000000000000000000000000000000000000
χ412-2-222-22-1-22-22112-1-2-2-2-2222-2-12-22-2-1111-1211-111-1-1-2-12-2-11-11-1-1112-2-111-1-1-1110000000000000000−i3i3−i3i3000000−i3i3−i3i300000000
χ422-2-222-22-1-22-22112-1-2-2-2-2222-2-12-22-2-1111-1211-111-1-1-2-12-2-11-11-1-1112-2-111-1-1-1110000000000000000i3−i3i3−i3000000i3−i3i3−i300000000
χ432-2-222-22-1-22-22112-1-2-2-2-222-22-1-222-2-1111-1211-111-1-1-2-1-221-1-1111-1-1-221-11-111-1-10000000000000000−i3i3−i3i3000000i3−i3i3−i300000000
χ442-2-222-22-1-22-22112-1-2-2-2-222-22-1-222-2-1111-1211-111-1-1-2-1-221-1-1111-1-1-221-11-111-1-10000000000000000i3−i3i3−i3000000−i3i3−i3i300000000
χ452-2-222-2-12-22-22-2-2-121111-1-12-2-12-2-112-211-1-1-2-2211-1-112-112-2-11-1-111-112-21-1-1-111000033−3−333−3−300000000003−33−3000000000000
χ462-2-222-2-12-22-22-2-2-121111-1-12-2-12-2-112-211-1-1-2-2211-1-112-112-2-11-1-111-112-21-1-1-1110000−3−333−3−3330000000000−33−33000000000000
χ472-2-222-2-12-22-22-2-2-121111-1-1-22-1-22-112-211-1-1-2-2211-1-1121-1-22-1111-1-11-1-221-111-1-1000033−3−333−3−30000000000−33−33000000000000
χ482-2-222-2-12-22-22-2-2-121111-1-1-22-1-22-112-211-1-1-2-2211-1-1121-1-22-1111-1-11-1-221-111-1-10000−3−333−3−33300000000003−33−3000000000000
χ492-2-22-22222-2-22-2-222-2-222-2-22-22-22-22-22-2-222-22-222-2-2-222-22-2-2222-2-2-22-22-22-2-22200000000000000000000000000000000000000
χ502-2-22-22222-2-22-2-222-2-222-2-2-2222-2-22-22-2-222-22-222-2-2-22-22-22-22-2-2222-22-2-2222-2-200000000000000000000000000000000000000
χ512-2-22-2222-222-2-2-222-2-2-2-22200200-22-22-2-22-22-22-2-2222-20000-22000000002-20000000000000000000000000000000000002-2-2200
χ522-2-22-2222-222-2-2-222-2-2-2-22200200-22-22-2-22-22-22-2-2222-20000-22000000002-2000000000000000000000000000000000000-222-200
χ532-2-22-222-12-2-22112-1-2-222-2-22-2-1-22-221-111-121-11-1-111-2-12-2-111-1-1-111-221-11-111-1-10000000000000000−i3i3i3−i3000000−i3i3i3−i300000000
χ542-2-22-222-12-2-22112-1-2-222-2-22-2-1-22-221-111-121-11-1-111-2-12-2-111-1-1-111-221-11-111-1-10000000000000000i3−i3−i3i3000000i3−i3−i3i300000000
χ552-2-22-222-12-2-22112-1-2-222-2-2-22-12-2-221-111-121-11-1-111-2-1-221-11-111-1-12-2-111-1-1-1110000000000000000−i3i3i3−i3000000i3−i3−i3i300000000
χ562-2-22-222-12-2-22112-1-2-222-2-2-22-12-2-221-111-121-11-1-111-2-1-221-11-111-1-12-2-111-1-1-1110000000000000000i3−i3−i3i3000000−i3i3i3−i300000000
χ572-2-22-22-122-2-22-2-2-1211-1-1112-2-1-221-1-2211-1-1-22-2-1-11112-112-21-1-1-1111-1-221-111-1-1000033−3−3−3−33300000000003−3−33000000000000
χ582-2-22-22-122-2-22-2-2-1211-1-1112-2-1-221-1-2211-1-1-22-2-1-11112-112-21-1-1-1111-1-221-111-1-10000−3−33333−3−30000000000−333−3000000000000
χ592-2-22-22-122-2-22-2-2-1211-1-111-22-12-21-1-2211-1-1-22-2-1-111121-1-221-111-1-1-112-21-1-1-111000033−3−3−3−3330000000000−333−3000000000000
χ602-2-22-22-122-2-22-2-2-1211-1-111-22-12-21-1-2211-1-1-22-2-1-111121-1-221-111-1-1-112-21-1-1-1110000−3−33333−3−300000000003−3−33000000000000
χ614444444-2-4-4-4-4-2-24-244-4-4-4-400-20044-2-2-2-2-2-42222222-420000-2-20000000022000000000000000000000000000000000000000000
χ62444444-24-4-4-4-444-24-2-2222200-200-2-244-2-2-22-4-4-422222-40000-2-20000000022000000000000000000000000000000000000000000
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
χ674444-4-44-244-4-4-2-24-244444400-200-4-422-2-2-2-42-2-2-2-2-2-2-420000220000000022000000000000000000000000000000000000000000
χ684444-4-4-2444-4-444-24-2-2-2-2-2-200-20022-4-4-2-2-22-444-2-2-2-22-40000220000000022000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-2-2-2-2-200100222211122-2-21111220000-1-13-33-30000-1-1-33-3300000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-2-2-2-2-200100222211122-2-21111220000-1-1-33-330000-1-13-33-300000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-22222441-4-42222111-2-222-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-22222-4-41442222111-2-222-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000000000
χ7344-4-4004400004-4-4-44-400000040000004-4-400000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000000000
χ7444-4-4004400004-4-4-44-400000040000004-4-4000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000000000
χ7544-4-400-2400004-42-4-2223−2323−2300-2000000-222000023−2323−23000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i200000000000000000000000000
χ7644-4-400-2400004-42-4-2223−2323−2300-2000000-222000023−2323−230000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i200000000000000000000000000
χ7744-4-400-2400004-42-4-22−2323−232300-2000000-2220000−2323−2323000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i200000000000000000000000000
χ7844-4-400-2400004-42-4-22−2323−232300-2000000-2220000−2323−23230000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i200000000000000000000000000
χ794-44-400440000-44-4-4-440000004000000-44-4000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000000000
χ804-44-400440000-44-4-4-440000004000000-44-40000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000000000
χ814-44-400-240000-442-42-223−23−232300-20000002-22000023−23−23230000000000000000000000−2i22i200i2−i2−i2i2i6−i6−i6i600000000000000000000000000
χ824-44-400-240000-442-42-223−23−232300-20000002-22000023−23−232300000000000000000000002i2−2i200−i2i2i2−i2−i6i6i6−i600000000000000000000000000
χ834-44-400-240000-442-42-2−232323−2300-20000002-220000−232323−230000000000000000000000−2i22i200i2−i2−i2i2−i6i6i6−i600000000000000000000000000
χ844-44-400-240000-442-42-2−232323−2300-20000002-220000−232323−2300000000000000000000002i2−2i200−i2i2i2−i2i6−i6−i6i600000000000000000000000000
χ854-4-444-44-24-44-4224-2-4-444-4-400-2004-4-2222-2-4-2-22-2-222420000-2200000000-22000000000000000000000000000000000000000000
χ864-4-444-4-244-44-4-4-4-2422-2-22200-200-224-422-2244-4-2-222-2-40000-2200000000-22000000000000000000000000000000000000000000
χ874-4-444-4-2-24-44-422-2-222-2-22200100-22-22-1-112-2-2211-1-1-2200001-13-3-3300001-13-3-3300000000000000000000000000000000000000
χ884-4-444-4-2-24-44-422-2-222-2-22200100-22-22-1-112-2-2211-1-1-2200001-1-333-300001-1-333-300000000000000000000000000000000000000
χ894-4-444-4-2-2-44-4422-2-22222-2-24-414-4-22-22-1-11-222-2-1-1112-2-22-221-111-1-1-22-22-1111-1-100000000000000000000000000000000000000
χ904-4-444-4-2-2-44-4422-2-22222-2-2-441-44-22-22-1-11-222-2-1-1112-22-22-21-1-1-1112-22-2-11-1-11100000000000000000000000000000000000000
χ914-4-44-444-2-444-4224-2-4-4-4-44400-200-442-222-2-4-22-222-2-24200002-200000000-22000000000000000000000000000000000000000000
χ924-4-44-44-24-444-4-4-4-242222-2-200-2002-2-4422-224-4422-2-2-2-400002-200000000-22000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-4422-2-222-2-2224-41-442-22-2-1-11-22-2211-1-12-2-22-22-1111-1-12-22-2-11-1-11100000000000000000000000000000000000000
χ944-4-44-44-2-24-4-4422-2-222-2-222-4414-42-22-2-1-11-22-2211-1-12-22-22-2-11-1-111-22-22-1111-1-100000000000000000000000000000000000000
χ954-4-44-44-2-2-444-422-2-22222-2-2001002-22-2-1-112-22-2-1-111-220000-113-3-3300001-1-333-300000000000000000000000000000000000000
χ964-4-44-44-2-2-444-422-2-22222-2-2001002-22-2-1-112-22-2-1-111-220000-11-333-300001-13-3-3300000000000000000000000000000000000000
χ9788-8-8008-40000-44-848-8000000-4000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4444-4443−4343−430020000002-2-20000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-4444-44−4343−43430020000002-2-2000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-400004-4-84-88000000-40000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-4444-443−43−4343002000000-22-20000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-4444-4−434343−43002000000-22-2000023−23−2323000000000000000000000000000000000000000000000000000000000000

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