Finite Group Databasebeta

← Group #11872310

Character table — Group #11872310

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122233444444666666121212123666121212121212121212121212121224666666661212121212121212121212122224444488882424242424242424246666612121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-111-1111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-11-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1111-11-1-1-111-1-11111-1-1-1-1-11111-1-11-1-1-1-11111-1-11-1
χ10111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-111-11-1-1-1111-1-11111-1-1-1-11-111-111-11-1-11-1-1-1-111-11
χ11111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-11111-11-1-11-1-11-111-111-1-111-11
χ12111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111111-1-1-1-111-11111-1-111-1-11-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111111-11-1-1-1-1-111-1-1-1-111111-1111111-1-1-1-1-1-111-1-1-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-1111111-11-1-1-11-1-111-1-1-1-11111-1111-1-1-1-11-1-1111-1-1111-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-1-11-1111-111-1-11111-1-1-1-11-1-1-11111-111-1-1-1-1-1111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-11-111111-1-11111-1-1-1-1-11-1-1-1-1-1-111111111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-200000000000000-2-2220000002-2-20020000000000000000200-2200-200000000
χ1822222222-2-2-2-2222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-200000000000000-2-222000000-22200-20000000000000000-2002-200200000000
χ19222222-2-222-2-222222222222222-2-2-2-222-2-22222-2-200000000000000-2-2-2-200000022-200-20000000000000000200-2-200200000000
χ20222222-2-222-2-222222222222222-2-2-2-222-2-22222-2-200000000000000-2-2-2-2000000-2-220020000000000000000-2002200-200000000
χ2122222-122222222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002220020000000000002200-1-1-1-1-100-1-1-1000000
χ2222222-122222222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-200-2000000000000-2-2001111100111000000
χ2322222-122222222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111-2-2-1-1-1-1111100222002000000000000-2-200-111-1-100-111000000
χ2422222-122222222-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111-2-2-1-1-1-1111100-2-2-200-200000000000022001-1-111001-1-1000000
χ2522222-122-2-2-2-222-1-12-1-2-2-2-2-1-1-1-1221111-1-11111-2-20000−i3i3−i3−i3i3i3−i3i30011-1-1−i3−i3i3i3002-2-20020000000000000000-1−i3i31-1001−i3i3000000
χ2622222-122-2-2-2-222-1-12-1-2-2-2-2-1-1-1-1221111-1-11111-2-20000−i3i3−i3−i3i3i3−i3i30011-1-1−i3−i3i3i300-22200-200000000000000001i3−i3-1100-1i3−i3000000
χ2722222-122-2-2-2-222-1-12-1-2-2-2-2-1-1-1-1221111-1-11111-2-20000i3−i3i3i3−i3−i3i3−i30011-1-1i3i3−i3−i3002-2-20020000000000000000-1i3−i31-1001i3−i3000000
χ2822222-122-2-2-2-222-1-12-1-2-2-2-2-1-1-1-1221111-1-11111-2-20000i3−i3i3i3−i3−i3i3−i30011-1-1i3i3−i3−i300-22200-200000000000000001−i3i3-1100-1−i3i3000000
χ2922222-1-2-222-2-222-1-12-12222-1-1-1-1-2-211-1-111-1-1-1-1-2-20000−i3i3−i3−i3i3i3i3−i3001111i3i3−i3−i30022-200-20000000000000000-1i3−i31100-1−i3i3000000
χ3022222-1-2-222-2-222-1-12-12222-1-1-1-1-2-211-1-111-1-1-1-1-2-20000−i3i3−i3−i3i3i3i3−i3001111i3i3−i3−i300-2-2200200000000000000001−i3i3-1-1001i3−i3000000
χ3122222-1-2-222-2-222-1-12-12222-1-1-1-1-2-211-1-111-1-1-1-1-2-20000i3−i3i3i3−i3−i3−i3i3001111−i3−i3i3i30022-200-20000000000000000-1−i3i31100-1i3−i3000000
χ3222222-1-2-222-2-222-1-12-12222-1-1-1-1-2-211-1-111-1-1-1-1-2-20000i3−i3i3i3−i3−i3−i3i3001111−i3−i3i3i300-2-2200200000000000000001i3−i3-1-1001−i3i3000000
χ3322222-1-2-2-2-22222-1-12-1-2-2-2-2-1-1-1-1-2-2-1-111111111222-222-1-1-1-1-1-111-2-2-1-1111111002-2200-2000000000000-2200-111-11001-1-1000000
χ3422222-1-2-2-2-22222-1-12-1-2-2-2-2-1-1-1-1-2-2-1-111111111222-222-1-1-1-1-1-111-2-2-1-111111100-22-20020000000000002-2001-1-11-100-111000000
χ3522222-1-2-2-2-22222-1-12-1-2-2-2-2-1-1-1-1-2-2-1-11111111122-22-2-2111111-1-122-1-111-1-1-1-1002-2200-20000000000002-200-1-1-1-1100111000000
χ3622222-1-2-2-2-22222-1-12-1-2-2-2-2-1-1-1-1-2-2-1-11111111122-22-2-2111111-1-122-1-111-1-1-1-100-22-2002000000000000-22001111-100-1-1-1000000
χ372222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1220002202222-1-1-1-1-1-1-1-100-1-100000-1-1000000000
χ382222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2000-2-20-2-2-2-21111111100110000011000000000
χ392222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-211-2-21111-2-211-1-1-1-1111122000220-2-2-2-21111111100-1-100000-1-1000000000
χ402222-12222222-1-122-12-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-211-2-21111-2-211-1-1-1-11111-2-2000-2-202222-1-1-1-1-1-1-1-100110000011000000000
χ412222-12-2-2-2-222-1-122-121111-1-1-1-11122-2-2-2-21111-1-12-2-1-122-1-1-1-1-2-211-1-111111122000-2-2022-2-2-1-1-1-1111100-1-10000011000000000
χ422222-12-2-2-2-222-1-122-121111-1-1-1-11122-2-2-2-21111-1-12-2-1-122-1-1-1-1-2-211-1-1111111-2-2000220-2-2221111-1-1-1-1001100000-1-1000000000
χ432222-12-2-2-2-222-1-122-121111-1-1-1-11122-2-2-2-21111-1-1-2211-2-2111122-1-1-1-111-1-1-1-122000-2-20-2-2221111-1-1-1-100-1-10000011000000000
χ442222-12-2-2-2-222-1-122-121111-1-1-1-11122-2-2-2-21111-1-1-2211-2-2111122-1-1-1-111-1-1-1-1-2-200022022-2-2-1-1-1-11111001100000-1-1000000000
χ452-22-2222i−2i2i−2i2-22-22-2-2-22i2i−2i−2i22-2-22i−2i2-22i−2i2i−2i2i2i−2i−2i2-2000000000000002-22i−2i000000000000000000000000000000000000002-22i−2i00
χ462-22-2222i−2i2i−2i2-22-22-2-2-22i2i−2i−2i22-2-22i−2i2-22i−2i2i−2i2i2i−2i−2i2-2000000000000002-22i−2i00000000000000000000000000000000000000-22−2i2i00
χ472-22-2222i−2i−2i2i-222-22-2-2-2−2i−2i2i2i22-2-22i−2i-22−2i2i2i−2i−2i−2i2i2i-2200000000000000-222i−2i00002-20002i−2i0000000000000002-2000002i−2i000000000
χ482-22-2222i−2i−2i2i-222-22-2-2-2−2i−2i2i2i22-2-22i−2i-22−2i2i2i−2i−2i−2i2i2i-2200000000000000-222i−2i0000-22000−2i2i000000000000000-2200000−2i2i000000000
χ492-22-222−2i2i2i−2i-222-22-2-2-22i2i−2i−2i22-2-2−2i2i-222i−2i−2i2i2i2i−2i−2i-2200000000000000-22−2i2i00002-2000−2i2i0000000000000002-200000−2i2i000000000
χ502-22-222−2i2i2i−2i-222-22-2-2-22i2i−2i−2i22-2-2−2i2i-222i−2i−2i2i2i2i−2i−2i-2200000000000000-22−2i2i0000-220002i−2i000000000000000-22000002i−2i000000000
χ512-22-222−2i2i−2i2i2-22-22-2-2-2−2i−2i2i2i22-2-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i2-2000000000000002-2−2i2i000000000000000000000000000000000000002-2−2i2i00
χ522-22-222−2i2i−2i2i2-22-22-2-2-2−2i−2i2i2i22-2-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i2-2000000000000002-2−2i2i00000000000000000000000000000000000000-222i−2i00
χ532-22-2-122i−2i−2i2i-22-112-21-2ii−i−i-1-111−ii-22−2i2i2i−2iii−i−i1-100−i3i300−i3i3−i3i3003−31-1−ii3−33−32-20002i−2i00000−i3−i3i3i333−3−300-1100000−ii000000000
χ542-22-2-122i−2i−2i2i-22-112-21-2ii−i−i-1-111−ii-22−2i2i2i−2iii−i−i1-100−i3i300−i3i3−i3i3003−31-1−ii3−33−3-22000−2i2i00000i3i3−i3−i3−3−333001-100000i−i000000000
χ552-22-2-122i−2i−2i2i-22-112-21-2ii−i−i-1-111−ii-22−2i2i2i−2iii−i−i1-100i3−i300i3−i3i3−i300−331-1−ii−33−332-20002i−2i00000i3i3−i3−i3−3−33300-1100000−ii000000000
χ562-22-2-122i−2i−2i2i-22-112-21-2ii−i−i-1-111−ii-22−2i2i2i−2iii−i−i1-100i3−i300i3−i3i3−i300−331-1−ii−33−33-22000−2i2i00000−i3−i3i3i333−3−3001-100000i−i000000000
χ572-22-2-12−2i2i2i−2i-22-112-21-2−i−iii-1-111i−i-222i−2i−2i2i−i−iii1-100−i3i300−i3i3−i3i300−331-1i−i−33−332-2000−2i2i00000−i3−i3i3i3−3−33300-1100000i−i000000000
χ582-22-2-12−2i2i2i−2i-22-112-21-2−i−iii-1-111i−i-222i−2i−2i2i−i−iii1-100−i3i300−i3i3−i3i300−331-1i−i−33−33-220002i−2i00000i3i3−i3−i333−3−3001-100000−ii000000000
χ592-22-2-12−2i2i2i−2i-22-112-21-2−i−iii-1-111i−i-222i−2i−2i2i−i−iii1-100i3−i300i3−i3i3−i3003−31-1i−i3−33−32-2000−2i2i00000i3i3−i3−i333−3−300-1100000i−i000000000
χ602-22-2-12−2i2i2i−2i-22-112-21-2−i−iii-1-111i−i-222i−2i−2i2i−i−iii1-100i3−i300i3−i3i3−i3003−31-1i−i3−33−3-220002i−2i00000−i3−i3i3i3−3−333001-100000−ii000000000
χ614444-2444-4-4-4-4-2-244-242222-2-2-2-2-2-2-4-4-4-4442222220000000000000022-2-200000000000000000000000000000000000000000000
χ624444-24-4-444-4-4-2-244-24-2-2-2-2-2-2-2-222-4-444-4-4-2-2-2-22200000000000000222200000000000000000000000000000000000000000000
χ634444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-244-2-2-2-21111-2-2-2-2111111110000000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-4-42222-1-1-1-122221111-1-1-1-10000000000000000000000000000000000000000
χ654444-2-244-4-4-4-4-2-2-2-2-2-222221111-2-22222-2-2-1-1-1-1220000−2i32i3i3i3−i3−i3−2i32i300-1-111i3i3−i3−i30000000000000000000000000000000000000000
χ664444-2-244-4-4-4-4-2-2-2-2-2-222221111-2-22222-2-2-1-1-1-12200002i3−2i3−i3−i3i3i32i3−2i300-1-111−i3−i3i3i30000000000000000000000000000000000000000
χ674444-2-2-4-444-4-4-2-2-2-2-2-2-2-2-2-211112222-2-2221111220000−2i32i3i3i3−i3−i32i3−2i300-1-1-1-1−i3−i3i3i30000000000000000000000000000000000000000
χ684444-2-2-4-444-4-4-2-2-2-2-2-2-2-2-2-211112222-2-22211112200002i3−2i3−i3−i3i3i3−2i32i300-1-1-1-1i3i3−i3−i30000000000000000000000000000000000000000
χ694444-2-2-4-4-4-444-2-2-2-2-2-22222111122-2-22222-1-1-1-1-2-24-4-2-2-2-21111222211-1-1-1-1-1-10000000000000000000000000000000000000000
χ704444-2-2-4-4-4-444-2-2-2-2-2-22222111122-2-22222-1-1-1-1-2-2-442222-1-1-1-1-2-2-2-211-1-111110000000000000000000000000000000000000000
χ7144-4-444000000-44-4-4-4400004-44-40000000000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000
χ7244-4-444000000-44-4-4-4400004-44-400000000000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000
χ7344-4-4-240000002-2-4-42423−2323−23-22-220000000023−2323−230000000000000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i200000000000000000000
χ7444-4-4-240000002-2-4-42423−2323−23-22-220000000023−2323−2300000000000000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i200000000000000000000
χ7544-4-4-240000002-2-4-424−2323−2323-22-2200000000−2323−23230000000000000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i200000000000000000000
χ7644-4-4-240000002-2-4-424−2323−2323-22-2200000000−2323−232300000000000000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i200000000000000000000
χ774-44-44-24i−4i4i−4i4-44-4-22-424i4i−4i−4i-2-2224i−4i-22−2i2i−2i2i−2i−2i2i2i4-400000000000000-22−2i2i00000000000000000000000000000000000000000000
χ784-44-44-24i−4i−4i4i-444-4-22-42−4i−4i4i4i-2-2224i−4i2-22i−2i−2i2i2i2i−2i−2i-44000000000000002-2−2i2i00000000000000000000000000000000000000000000
χ794-44-44-2−4i4i4i−4i-444-4-22-424i4i−4i−4i-2-222−4i4i2-2−2i2i2i−2i−2i−2i2i2i-44000000000000002-22i−2i00000000000000000000000000000000000000000000
χ804-44-44-2−4i4i−4i4i4-44-4-22-42−4i−4i4i4i-2-222−4i4i-222i−2i2i−2i2i2i−2i−2i4-400000000000000-222i−2i00000000000000000000000000000000000000000000
χ814-44-4-244i−4i4i−4i4-4-224-42-4−2i−2i2i2i-2-222−2i2i4-44i−4i4i−4i−2i−2i2i2i-2200000000000000-22−2i2i00000000000000000000000000000000000000000000
χ824-44-4-24−4i4i−4i4i4-4-224-42-42i2i−2i−2i-2-2222i−2i4-4−4i4i−4i4i2i2i−2i−2i-2200000000000000-222i−2i00000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-4-22-2222−2i−2i2i2i11-1-1−2i2i-22−2i2i−2i2iii−i−i-220000003-3-3300001-1i−i3i−3i−3i3i0000000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-4-22-2222−2i−2i2i2i11-1-1−2i2i-22−2i2i−2i2iii−i−i-22000000-333-300001-1i−i−3i3i3i−3i0000000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-44-22-22222i2i−2i−2i11-1-1−2i2i2-22i−2i−2i2i−i−iii2-200−2i32i300i3−i3i3−i30023−23-11i−i−33−330000000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-44-22-22222i2i−2i−2i11-1-1−2i2i2-22i−2i−2i2i−i−iii2-2002i3−2i300−i3i3−i3i300−2323-11i−i3−33−30000000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-44-22-2222−2i−2i2i2i11-1-12i−2i2-2−2i2i2i−2iii−i−i2-200−2i32i300i3−i3i3−i300−2323-11−ii3−33−30000000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-44-22-2222−2i−2i2i2i11-1-12i−2i2-2−2i2i2i−2iii−i−i2-2002i3−2i300−i3i3−i3i30023−23-11−ii−33−330000000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-4-22-22222i2i−2i−2i11-1-12i−2i-222i−2i2i−2i−i−iii-220000003-3-3300001-1−ii−3i3i3i−3i0000000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-4-22-22222i2i−2i−2i11-1-12i−2i-222i−2i2i−2i−i−iii-22000000-333-300001-1−ii3i−3i−3i3i0000000000000000000000000000000000000000
χ914-4-4444000000-4-4-444-400004-4-440000000000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ924-4-4444000000-4-4-444-400004-4-4400000000000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ934-4-44-2400000022-44-2-4−2i32i32i3−2i3-222-200000000−2i32i32i3−2i30000000000000000000000000000000022−2200−222−2i6−i6−i6i600000000000000000000
χ944-4-44-2400000022-44-2-4−2i32i32i3−2i3-222-200000000−2i32i32i3−2i300000000000000000000000000000000−2222002−2−22−i6i6i6−i600000000000000000000
χ954-4-44-2400000022-44-2-42i3−2i3−2i32i3-222-2000000002i3−2i3−2i32i30000000000000000000000000000000022−2200−222−2−i6i6i6−i600000000000000000000
χ964-4-44-2400000022-44-2-42i3−2i3−2i32i3-222-2000000002i3−2i3−2i32i300000000000000000000000000000000−2222002−2−22i6−i6−i6i600000000000000000000
χ9788-8-88-4000000-8844-8-40000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000004-4444-443−4343−432-22-200000000−2323−23230000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000004-4444-4−4343−43432-22-20000000023−2323−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-4000000-8-84-4840000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000444-4-44−4i34i34i3−4i32-2-22000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000444-4-444i3−4i3−4i34i32-2-2200000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000

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