Finite Group Databasebeta

← Group #11866341

Character table — Group #11866341

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order1222334466666634444446661212121212121212121212121212121212121212121222441212121212121212121212121212121212444444668812121212121212121212121212122482424242488612228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-11111-1-111-1-1-1-1-11-111-1-111-111-1-1
χ611111111111111111-1-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-111-1-1-1-11-11-1-111-1-11-1-111
χ711111111111111111-1-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1111111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111-1-11111-11-111-1-1-1-1-11-111
χ811111111111111111-1-1-1-1111-1-11111-1-11-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111-1-111111-11-1-111111-11-1-1
χ9111111111111111-1-111-1-111111-1-1-1-11111111-1-1-1-1111111111-1-11-1-111-1-1-1-111-1-1-1-11-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-11
χ10111111111111111-1-111-1-111111-1-1-1-11111111-1-1-1-1111111111-1-11-1-111-1-1-1-111-1-1-1-11-1-11-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1
χ11111111111111111-1-111-1-111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-111111-1-1-1-111-1
χ12111111111111111-1-111-1-111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-11
χ13111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-111-1-1111-1-11-1
χ14111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-111-11
χ15111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11-1-111-1-1-1-11-11-11
χ16111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-11111-11-11-1
χ17222222-2-22222222002-200222-2-2000022-2-2-2-2-20000-2-2-2-2-222-2-200200-2-20000220000-2002002200-2-2000022-2-2000000000000000000
χ18222222-2-22222222002-200222-2-2000022-2-2-2-2-20000-2-2-2-2-2-2-22200200-2-20000220000200-200-2-200220000-2-222000000000000000000
χ19222222-2-2222222200-2200222220000-2-2-222-2-200002222-222-2-200-200-2-20000-2-20000200-2002200220000-2-2-2-2000000000000000000
χ20222222-2-2222222200-2200222220000-2-2-222-2-200002222-2-2-22200-200-2-20000-2-20000-200200-2-200-2-200002222000000000000000000
χ2122222-122-1-12-122-1222222-1-1-1-1-1222222-122222222-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002200000000000000222-1-1-1-100-1-1000
χ2222222-122-1-12-122-1222222-1-1-1-1-1222222-122222222-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200000000000000-2-2-211110011000
χ2322222-122-1-12-122-122-2-2-2-2-1-1-1112222-2-2-1-2-222-2-2-2-21111-10000-1-1111-1-1-1-1-1-1111111000000002200000000000000-22-2-1-111001-1000
χ2422222-122-1-12-122-122-2-2-2-2-1-1-1112222-2-2-1-2-222-2-2-2-21111-10000-1-1111-1-1-1-1-1-111111100000000-2-2000000000000002-2211-1-100-11000
χ2522222-122-1-12-122-1-2-222-2-2-1-1-1-1-1-2-2-2-222-12222-2-2-2-2-1-1-1-1-1000011-111-1-11111-1-11111000000002200000000000000-2-22-1-1-1-10011000
χ2622222-122-1-12-122-1-2-222-2-2-1-1-1-1-1-2-2-2-222-12222-2-2-2-2-1-1-1-1-1000011-111-1-11111-1-1111100000000-2-20000000000000022-2111100-1-1000
χ2722222-122-1-12-122-1-2-2-2-222-1-1-111-2-2-2-2-2-2-1-2-22222221111-10000111-1-1-1-1111111-1-1-1-10000000022000000000000002-2-2-1-11100-11000
χ2822222-122-1-12-122-1-2-2-2-222-1-1-111-2-2-2-2-2-2-1-2-22222221111-10000111-1-1-1-1111111-1-1-1-100000000-2-200000000000000-22211-1-1001-1000
χ292222-122222-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-122222-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211001111111111111100000000000000
χ312222-122222-12-1-1-122-2-2-2-2-1-1-1-2-2-1-1-1-111211-1-1111111112222222-2-2-2-1-1-1-1-1-1111111-222-2-2-2-1-10011-1-1-1-111-1-1111100000000000000
χ322222-122222-12-1-1-122-2-2-2-2-1-1-1-2-2-1-1-1-111211-1-1111111112-2-2-2-222-2-2-2-1-1-1-1-1-11111112-2-22221100-1-11111-1-111-1-1-1-100000000000000
χ332222-122222-12-1-1-1-2-222-2-2-1-1-1221111-1-12-1-1-1-11111-1-1-1-122222-2-22-2-2-1-11111-1-111112-2-22-2-2-1-100-1-11111-1-1-1-1111100000000000000
χ342222-122222-12-1-1-1-2-222-2-2-1-1-1221111-1-12-1-1-1-11111-1-1-1-12-2-2-2-2-2-22-2-2-1-11111-1-11111-222-222110011-1-1-1-11111-1-1-1-100000000000000
χ352222-122222-12-1-1-1-2-2-2-222-1-1-1-2-2111111211-1-1-1-1-1-1111122222-2-2-222-1-1111111-1-1-1-1-2-2-2-222-1-10011111111-1-1-1-1-1-100000000000000
χ362222-122222-12-1-1-1-2-2-2-222-1-1-1-2-2111111211-1-1-1-1-1-111112-2-2-2-2-2-2-222-1-1111111-1-1-1-12222-2-21100-1-1-1-1-1-1-1-111111100000000000000
χ372222-12-2-222-12-1-1-1002-200-1-1-1-2-2−i3−i3i3i3-1-1-21111−i3−i3i3i31111-222-2-20020011−i3−i3i3i3-1-1−i3−i3i3i3-200200-1-10011−i3−i3i3i3-1-111−i3−i3i3i300000000000000
χ382222-12-2-222-12-1-1-1002-200-1-1-1-2-2−i3−i3i3i3-1-1-21111−i3−i3i3i31111-2-2-2220020011−i3−i3i3i3-1-1−i3−i3i3i3200-2001100-1-1i3i3−i3−i311-1-1i3i3−i3−i300000000000000
χ392222-12-2-222-12-1-1-1002-200-1-1-1-2-2i3i3−i3−i3-1-1-21111i3i3−i3−i31111-222-2-20020011i3i3−i3−i3-1-1i3i3−i3−i3-200200-1-10011i3i3−i3−i3-1-111i3i3−i3−i300000000000000
χ402222-12-2-222-12-1-1-1002-200-1-1-1-2-2i3i3−i3−i3-1-1-21111i3i3−i3−i31111-2-2-2220020011i3i3−i3−i3-1-1i3i3−i3−i3200-2001100-1-1−i3−i3i3i311-1-1−i3−i3i3i300000000000000
χ412222-12-2-222-12-1-1-100-2200-1-1-122−i3−i3i3i311-2-1-111i3i3−i3−i3-1-1-1-1-222-2-200-20011−i3−i3i3i311i3i3−i3−i3200-200-1-100-1-1−i3−i3i3i31111i3i3−i3−i300000000000000
χ422222-12-2-222-12-1-1-100-2200-1-1-122−i3−i3i3i311-2-1-111i3i3−i3−i3-1-1-1-1-2-2-22200-20011−i3−i3i3i311i3i3−i3−i3-200200110011i3i3−i3−i3-1-1-1-1−i3−i3i3i300000000000000
χ432222-12-2-222-12-1-1-100-2200-1-1-122i3i3−i3−i311-2-1-111−i3−i3i3i3-1-1-1-1-222-2-200-20011i3i3−i3−i311−i3−i3i3i3200-200-1-100-1-1i3i3−i3−i31111−i3−i3i3i300000000000000
χ442222-12-2-222-12-1-1-100-2200-1-1-122i3i3−i3−i311-2-1-111−i3−i3i3i3-1-1-1-1-2-2-22200-20011i3i3−i3−i311−i3−i3i3i3-200200110011−i3−i3i3i3-1-1-1-1i3i3−i3−i300000000000000
χ452-2-22222-2-2-2-22-2222i−2i0000-22-2002i−2i2i−2i002002-200000000-22-22-22i−2i0002-22i−2i2i−2i00000002i−2i0002-200002i−2i2i−2i002-2000000000000000000
χ462-2-22222-2-2-2-22-2222i−2i0000-22-2002i−2i2i−2i002002-200000000-2-22-222i−2i0002-22i−2i2i−2i0000000−2i2i000-220000−2i2i−2i2i00-22000000000000000000
χ472-2-22222-2-2-2-22-222−2i2i0000-22-200−2i2i−2i2i002002-200000000-22-22-2−2i2i0002-2−2i2i−2i2i0000000−2i2i0002-20000−2i2i−2i2i002-2000000000000000000
χ482-2-22222-2-2-2-22-222−2i2i0000-22-200−2i2i−2i2i002002-200000000-2-22-22−2i2i0002-2−2i2i−2i2i00000002i−2i000-2200002i−2i2i−2i00-22000000000000000000
χ492-2-2222-22-2-2-22-22200002-2-22-200000000-200-222-22-2000022-2-220002-2-220000002-22-200002-22-20000000000-222-22-200000000000000
χ502-2-2222-22-2-2-22-22200002-2-22-200000000-200-222-22-200002-222-20002-2-220000002-22-20000-22-2200000000002-2-22-2200000000000000
χ512-2-2222-22-2-2-22-2220000-22-22-200000000-200-22-22-22000022-2-22000-22-22000000-22-220000-222-20000000000-22-22-2200000000000000
χ522-2-2222-22-2-2-22-2220000-22-22-200000000-200-22-22-2200002-222-2000-22-22000000-22-2200002-2-2200000000002-22-22-200000000000000
χ532-2-22-122-2-2-2121-1-12i−2i00001-1100−ii−ii3−323−3-11−i3i3i3−i333−3−3-22-22-22i−2i000-11−ii−ii3−3−i3i3i3−i302i−2i000-11003−3−ii−ii3−3-11−i3i3i3−i300000000000000
χ542-2-22-122-2-2-2121-1-12i−2i00001-1100−ii−ii3−323−3-11−i3i3i3−i333−3−3-2-22-222i−2i000-11−ii−ii3−3−i3i3i3−i30−2i2i0001-100−33i−ii−i−331-1i3−i3−i3i300000000000000
χ552-2-22-122-2-2-2121-1-12i−2i00001-1100−ii−ii−332−33-11i3−i3−i3i3−3−333-22-22-22i−2i000-11−ii−ii−33i3−i3−i3i302i−2i000-1100−33−ii−ii−33-11i3−i3−i3i300000000000000
χ562-2-22-122-2-2-2121-1-12i−2i00001-1100−ii−ii−332−33-11i3−i3−i3i3−3−333-2-22-222i−2i000-11−ii−ii−33i3−i3−i3i30−2i2i0001-1003−3i−ii−i3−31-1−i3i3i3−i300000000000000
χ572-2-22-122-2-2-2121-1-1−2i2i00001-1100i−ii−i3−323−3-11i3−i3−i3i333−3−3-22-22-2−2i2i000-11i−ii−i3−3i3−i3−i3i30−2i2i000-11003−3i−ii−i3−3-11i3−i3−i3i300000000000000
χ582-2-22-122-2-2-2121-1-1−2i2i00001-1100i−ii−i3−323−3-11i3−i3−i3i333−3−3-2-22-22−2i2i000-11i−ii−i3−3i3−i3−i3i302i−2i0001-100−33−ii−ii−331-1−i3i3i3−i300000000000000
χ592-2-22-122-2-2-2121-1-1−2i2i00001-1100i−ii−i−332−33-11−i3i3i3−i3−3−333-22-22-2−2i2i000-11i−ii−i−33−i3i3i3−i30−2i2i000-1100−33i−ii−i−33-11−i3i3i3−i300000000000000
χ602-2-22-122-2-2-2121-1-1−2i2i00001-1100i−ii−i−332−33-11−i3i3i3−i3−3−333-2-22-22−2i2i000-11i−ii−i−33−i3i3i3−i302i−2i0001-1003−3−ii−ii3−31-1i3−i3−i3i300000000000000
χ612-2-22-12-22-2-2121-1-100002-21-11003−3−333−3-2−331-1-11-11−3−33322-2-220002-21-13−3−333−3-11-1100002-2-1100−333−3−333−31-1-11-1100000000000000
χ622-2-22-12-22-2-2121-1-100002-21-11003−3−333−3-2−331-1-11-11−3−3332-222-20002-21-13−3−333−3-11-110000-221-1003−3−333−3−33-111-11-100000000000000
χ632-2-22-12-22-2-2121-1-100002-21-1100−333−3−33-23−31-1-11-1133−3−322-2-220002-21-1−333−3−33-11-1100002-2-11003−3−333−3−331-1-11-1100000000000000
χ642-2-22-12-22-2-2121-1-100002-21-1100−333−3−33-23−31-1-11-1133−3−32-222-20002-21-1−333−3−33-11-110000-221-100−333−3−333−3-111-11-100000000000000
χ652-2-22-12-22-2-2121-1-10000-221-11003−3−33−33-23−31-11-11-133−3−322-2-22000-221-13−3−33−331-11-10000-22-11003−33−3−33−331-11-11-100000000000000
χ662-2-22-12-22-2-2121-1-10000-221-11003−3−33−33-23−31-11-11-133−3−32-222-2000-221-13−3−33−331-11-100002-21-100−33−333−33−3-11-11-1100000000000000
χ672-2-22-12-22-2-2121-1-10000-221-1100−333−33−3-2−331-11-11-1−3−33322-2-22000-221-1−333−33−31-11-10000-22-1100−33−333−33−31-11-11-100000000000000
χ682-2-22-12-22-2-2121-1-10000-221-1100−333−33−3-2−331-11-11-1−3−3332-222-2000-221-1−333−33−31-11-100002-21-1003−33−3−33−33-11-11-1100000000000000
χ6944444-2-4-4-2-24-244-2004-400-2-2-2220000442-4-4-4-4000022222000000-200220000-2-2000000000000000000000000000000000000000000
χ7044444-2-4-4-2-24-244-200-4400-2-2-2-2-20000-4-4244-4-40000-2-2-2-2200000020022000022000000000000000000000000000000000000000000
χ714444-2-244-2-2-2-2-2-21444444111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-20000-2-2-2-2-211111111111100000000000000000000000000000000000000
χ724444-2-244-2-2-2-2-2-2144-4-4-4-411122-2-2-2-222-222-2-22222-1-1-1-1-20000-2-2222111111-1-1-1-1-1-100000000000000000000000000000000000000
χ734444-2-244-2-2-2-2-2-21-4-444-4-4111-2-22222-2-2-2-2-2-2-222221111-2000022-22211-1-1-1-111-1-1-1-100000000000000000000000000000000000000
χ744444-2-244-2-2-2-2-2-21-4-4-4-44411122222222-222-2-2-2-2-2-2-1-1-1-1-20000222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000
χ754444-2-2-4-4-2-2-2-2-2-21004-40011122−2i3−2i32i32i3-2-222222−2i3−2i32i32i3-1-1-1-12000000-200-1-1i3i3−i3−i311i3i3−i3−i300000000000000000000000000000000000000
χ764444-2-2-4-4-2-2-2-2-2-21004-400111222i32i3−2i3−2i3-2-2222222i32i3−2i3−2i3-1-1-1-12000000-200-1-1−i3−i3i3i311−i3−i3i3i300000000000000000000000000000000000000
χ774444-2-2-4-4-2-2-2-2-2-2100-4400111-2-2−2i3−2i32i32i3222-2-2222i32i3−2i3−2i311112000000200-1-1i3i3−i3−i3-1-1−i3−i3i3i300000000000000000000000000000000000000
χ784444-2-2-4-4-2-2-2-2-2-2100-4400111-2-22i32i3−2i3−2i3222-2-222−2i3−2i32i32i311112000000200-1-1−i3−i3i3i3-1-1i3i3−i3−i300000000000000000000000000000000000000
χ7944-4-44400-444-4-4-44000000-4-44000000000000000000000000000000000000000000000000000−2i22i200000000000000000−2i22i2000000000
χ8044-4-44400-444-4-4-44000000-4-440000000000000000000000000000000000000000000000000002i2−2i2000000000000000002i2−2i2000000000
χ8144-4-44-2002-242-4-4-200000022-223−2300000000000000023−2323−23000000000000000000000000000000−2i22i200000000000000000i2−i2i6−i60000000
χ8244-4-44-2002-242-4-4-200000022-223−2300000000000000023−2323−230000000000000000000000000000002i2−2i200000000000000000−i2i2−i6i60000000
χ8344-4-44-2002-242-4-4-200000022-2−2323000000000000000−2323−2323000000000000000000000000000000−2i22i200000000000000000i2−i2−i6i60000000
χ8444-4-44-2002-242-4-4-200000022-2−2323000000000000000−2323−23230000000000000000000000000000002i2−2i200000000000000000−i2i2i6−i60000000
χ854-44-444004-4-4-44-440000004-4-400000000000000000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ864-44-444004-4-4-44-440000004-4-4000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ874-4-444-24-422-4-2-44-24i−4i00002-22004i−4i4i−4i00-2004-40000000020000−2i2i000-22−2i2i−2i2i00000000000000000000000000000000000000000000
χ884-4-444-24-422-4-2-44-2−4i4i00002-2200−4i4i−4i4i00-2004-400000000200002i−2i000-222i−2i2i−2i00000000000000000000000000000000000000000000
χ894-4-444-2-4422-4-2-44-200004-42-2200000000200-444-44-40000-20000000-222-2000000-22-2200000000000000000000000000000000000000
χ904-4-444-2-4422-4-2-44-20000-442-2200000000200-44-44-440000-200000002-22-20000002-22-200000000000000000000000000000000000000
χ914-4-44-2-24-4222-22-214i−4i0000-11-100−2i2i−2i2i23−23-223−23-22−2i32i32i3−2i3−3−33320000−2i2i0001-1i−ii−i−33i3−i3−i3i300000000000000000000000000000000000000
χ924-4-44-2-24-4222-22-214i−4i0000-11-100−2i2i−2i2i−2323-2−2323-222i3−2i3−2i32i333−3−320000−2i2i0001-1i−ii−i3−3−i3i3i3−i300000000000000000000000000000000000000
χ934-4-44-2-24-4222-22-21−4i4i0000-11-1002i−2i2i−2i23−23-223−23-222i3−2i3−2i32i3−3−333200002i−2i0001-1−ii−ii−33−i3i3i3−i300000000000000000000000000000000000000
χ944-4-44-2-24-4222-22-21−4i4i0000-11-1002i−2i2i−2i−2323-2−2323-22−2i32i32i3−2i333−3−3200002i−2i0001-1−ii−ii3−3i3−i3−i3i300000000000000000000000000000000000000
χ954-4-44-2-2-44222-22-2100004-4-11-10023−23−232323−232−23232-2-22-2233−3−3-20000000-22-11−333−3−331-11-100000000000000000000000000000000000000
χ964-4-44-2-2-44222-22-2100004-4-11-100−232323−23−2323223−232-2-22-22−3−333-20000000-22-113−3−333−31-11-100000000000000000000000000000000000000
χ974-4-44-2-2-44222-22-210000-44-11-10023−23−2323−2323223−232-22-22-2−3−333-200000002-2-11−333−33−3-11-1100000000000000000000000000000000000000
χ984-4-44-2-2-44222-22-210000-44-11-100−232323−2323−232−23232-22-22-233−3−3-200000002-2-113−3−33−33-11-1100000000000000000000000000000000000000
χ9988-8-8-4800-88-4-844-400000044-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4004-4-44442000000-2-2243−43000000000000000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4004-4-44442000000-2-22−434300000000000000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ1028-88-88-400-44-848-8-4000000-444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48008-84-8-44-4000000-444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-400-4444-4420000002-2-2000000000000000006-6-66000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-400-4444-4420000002-2-200000000000000000-666-6000000000000000000000000000000000000000000000000000000000000

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