Finite Group Databasebeta

← Group #11785437

Character table — Group #11785437

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122244442233446666661212121212121212366666661212121212121212222244448888888866881212242424242424242424242424242424246666121212122424242424242424888888888888242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−ii−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-1-1-111111111-1-1-1-1−ii−ii−i−iii−i−iiii−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-1-1-111111111-1-1-1-1i−ii−iii−i−iii−i−i−ii
χ1722222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-122222222200000000-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ1822222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-122222222200000000-1-1-2-2-1-1-2-211-2-21111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ1922222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-12-2-2-2-2-2-2-2-200000000-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ2022222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-12-2-2-2-2-2-2-2-200000000-1-1-2-2-1-1-2-211-2-211111111111111111100000000000000002200-1-1-1-1000000
χ212222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-10000000022222222-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ222222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-10000000022222222-1-1-2-2-1-111-2-211-2-21111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ232222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ242222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-2-2-1-111-2-211-2-21111111100000000111111110000000000220000-1-1-1-100
χ2522222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-222-2-2-2-22200000000-2-200-2-2000000000000000022-2-2-2-222000000000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2-2-22222-2-200000000-2-200-2-20000000000000000-2-22222-2-2000000000000000000000000000000
χ2722222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-222-2-2-2-2220000000011001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-1-11111-1-100000000000000000000−i3i3−i3i3000000
χ2822222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-222-2-2-2-2220000000011001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-1-11111-1-100000000000000000000i3−i3i3−i3000000
χ2922222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-2-2-22222-2-20000000011001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i311-1-1-1-11100000000000000000000i3−i3i3−i3000000
χ3022222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-2-2-22222-2-20000000011001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i311-1-1-1-11100000000000000000000−i3i3−i3i3000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000002200-2-200000000000000002222-2-2-2-2000000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000002200-2-20000000000000000-2-2-2-22222000000000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-22222-2-2-2-200000000-1-10011003−300−3333−3−3−3−333-1-1-1-11111000000000000000000003−3−33000000
χ342222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-22222-2-2-2-200000000-1-1001100−33003−3−3−33333−3−3-1-1-1-1111100000000000000000000−333−3000000
χ352222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-2-2-2-2-2222200000000-1-10011003−300−3333−3−3−3−3331111-1-1-1-100000000000000000000−333−3000000
χ362222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-2-2-2-2-2222200000000-1-1001100−33003−3−3−33333−3−31111-1-1-1-1000000000000000000003−3−33000000
χ372222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-11111222-2-222-2-200000000112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii-1-111-1-11100000000000000002i−2i00−i−iii000000
χ382222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-11111222-2-222-2-20000000011−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i-1-111-1-1110000000000000000−2i2i00ii−i−i000000
χ392222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-111112-2-222-2-22200000000112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii11-1-111-1-10000000000000000−2i2i00ii−i−i000000
χ402222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-111112-2-222-2-2220000000011−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i11-1-111-1-100000000000000002i−2i00−i−iii000000
χ412222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-1000000002222-2-2-2-2112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00000000-1-1-1-1111100000000002i−2i0000−i−iii00
χ422222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-1000000002222-2-2-2-211−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00000000-1-1-1-111110000000000−2i2i0000ii−i−i00
χ432222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-100000000-2-2-2-22222112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii000000001111-1-1-1-10000000000−2i2i0000ii−i−i00
χ442222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-100000000-2-2-2-2222211−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i000000001111-1-1-1-100000000002i−2i0000−i−iii00
χ4522-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-20002i−2i2i−2i0002-22i−2i0022−2−2−i2−i2i2i20000000000000000000000002-22i−2i0022−2−2−i2−i2i2i2−i2−i2i2i222−2−200000000000000
χ4622-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-20002i−2i2i−2i0002-22i−2i00−2−222i2i2−i2−i20000000000000000000000002-22i−2i00−2−222i2i2−i2−i2i2i2−i2−i2−2−22200000000000000
χ4722-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-20002i−2i2i−2i000-22−2i2i0022−2−2−i2−i2i2i2000000000000000000000000-22−2i2i0022−2−2−i2−i2i2i2i2i2−i2−i2−2−22200000000000000
χ4822-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-20002i−2i2i−2i000-22−2i2i00−2−222i2i2−i2−i2000000000000000000000000-22−2i2i00−2−222i2i2−i2−i2−i2−i2i2i222−2−200000000000000
χ4922-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-2000−2i2i−2i2i0002-2−2i2i0022−2−2i2i2−i2−i20000000000000000000000002-2−2i2i0022−2−2i2i2−i2−i2i2i2−i2−i222−2−200000000000000
χ5022-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-2000−2i2i−2i2i0002-2−2i2i00−2−222−i2−i2i2i20000000000000000000000002-2−2i2i00−2−222−i2−i2i2i2−i2−i2i2i2−2−22200000000000000
χ5122-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-2000−2i2i−2i2i000-222i−2i0022−2−2i2i2−i2−i2000000000000000000000000-222i−2i0022−2−2i2i2−i2−i2−i2−i2i2i2−2−22200000000000000
χ5222-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-2000−2i2i−2i2i000-222i−2i00−2−222−i2−i2i2i2000000000000000000000000-222i−2i00−2−222−i2−i2i2i2i2i2−i2−i222−2−200000000000000
χ532-22-22i−2i−2i2i002200-22-22-2-2−2i2i−2i2i2i−2i2i−2i20000-22-20002i−2i−2i2i02-200002i−2i−i2i2−i2i22−22−200000000000000000000002-200002i−2i−i2i2−i2i22−22−2−i2i2−i2i22−22−200000000000000
χ542-22-22i−2i−2i2i002200-22-22-2-2−2i2i−2i2i2i−2i2i−2i20000-22-20002i−2i−2i2i02-200002i−2ii2−i2i2−i2−22−2200000000000000000000002-200002i−2ii2−i2i2−i2−22−22i2−i2i2−i2−22−2200000000000000
χ552-22-22i−2i−2i2i002200-22-22-2-2−2i2i−2i2i2i−2i2i−2i20000-22-20002i−2i−2i2i0-220000−2i2i−i2i2−i2i22−22−20000000000000000000000-220000−2i2i−i2i2−i2i22−22−2i2−i2i2−i2−22−2200000000000000
χ562-22-22i−2i−2i2i002200-22-22-2-2−2i2i−2i2i2i−2i2i−2i20000-22-20002i−2i−2i2i0-220000−2i2ii2−i2i2−i2−22−220000000000000000000000-220000−2i2ii2−i2i2−i2−22−22−i2i2−i2i22−22−200000000000000
χ572-22-2−2i2i2i−2i002200-22-22-2-22i−2i2i−2i−2i2i−2i2i20000-22-2000−2i2i2i−2i02-20000−2i2i−i2i2−i2i2−22−2200000000000000000000002-20000−2i2i−i2i2−i2i2−22−22−i2i2−i2i2−22−2200000000000000
χ582-22-2−2i2i2i−2i002200-22-22-2-22i−2i2i−2i−2i2i−2i2i20000-22-2000−2i2i2i−2i02-20000−2i2ii2−i2i2−i22−22−200000000000000000000002-20000−2i2ii2−i2i2−i22−22−2i2−i2i2−i22−22−200000000000000
χ592-22-2−2i2i2i−2i002200-22-22-2-22i−2i2i−2i−2i2i−2i2i20000-22-2000−2i2i2i−2i0-2200002i−2i−i2i2−i2i2−22−220000000000000000000000-2200002i−2i−i2i2−i2i2−22−22i2−i2i2−i22−22−200000000000000
χ602-22-2−2i2i2i−2i002200-22-22-2-22i−2i2i−2i−2i2i−2i2i20000-22-2000−2i2i2i−2i0-2200002i−2ii2−i2i2−i22−22−20000000000000000000000-2200002i−2ii2−i2i2−i22−22−2−i2i2−i2i2−22−2200000000000000
χ612-2-2222-2-22-2222-2-2-2-2-222-2-2-2-2222222-22-2-2-2222-222-2-2-2000000002i−2i−2i2i−2i2i2i−2i2-2002-20000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ622-2-2222-2-22-2222-2-2-2-2-222-2-2-2-2222222-22-2-2-2222-222-2-2-200000000−2i2i2i−2i2i−2i−2i2i2-2002-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ632-2-2222-2-22-2-122-211-2-2-1211-2-2-1-122-1-112-211-1-12-2-1-1111000000002i−2i−2i2i−2i2i2i−2i-1100-113−3003−3003−33−33−33−300000000−iii−ii−i−ii0000000000000000−i3i3−i3i300
χ642-2-2222-2-22-2-122-211-2-2-1211-2-2-1-122-1-112-211-1-12-2-1-1111000000002i−2i−2i2i−2i2i2i−2i-1100-11−3300−3300−33−33−33−3300000000−iii−ii−i−ii0000000000000000i3−i3i3−i300
χ652-2-2222-2-22-2-122-211-2-2-1211-2-2-1-122-1-112-211-1-12-2-1-111100000000−2i2i2i−2i2i−2i−2i2i-1100-113−3003−3003−33−33−33−300000000i−i−ii−iii−i0000000000000000i3−i3i3−i300
χ662-2-2222-2-22-2-122-211-2-2-1211-2-2-1-122-1-112-211-1-12-2-1-111100000000−2i2i2i−2i2i−2i−2i2i-1100-11−3300−3300−33−33−33−3300000000i−i−ii−iii−i0000000000000000−i3i3−i3i300
χ672-2-2222-2-2-2222-22-2-2-2-222-2-2-2-222222-22-22-2-22-2-2222-2-220000000000000000-2200-22000000000000000000000000000000002-2-222-2-2200000000000000
χ682-2-2222-2-2-2222-22-2-2-2-222-2-2-2-222222-22-22-2-22-2-2222-2-220000000000000000-2200-2200000000000000000000000000000000-222-2-222-200000000000000
χ692-2-22-2-2222-222-22-2-2-2-2222222-2-2-2-222-22-2-2-22-2-22-2-222200000000000000002-200-22000000000000000000000000000000002-2-22-222-200000000000000
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χ712-2-22-2-222-22222-2-2-2-2-2222222-2-2-2-22-22-22-2-2222-2-2-222-2000000002i−2i−2i2i2i−2i−2i2i-22002-20000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
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χ1074-4-4444-4-4-44-24-4422-4-4-2422-4-4-2-244-22-2-4422-22-44-2-222-200000000000000002-2002-2000000000000000000000000000000000000000000000000000000
χ1084-4-4444-4-4-44-2-2-442222-2-22222-2-2-2-212-22-2-1-1122-211-1-1-20000000000000000-1100-11000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000
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χ1164-4-44-4-444-44-2-24-42222-2-2-2-2-2-2222212-22-2-1-11-2-22-1-11120000000000000000-11001-12i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000
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χ11888-8-8−8i8i−8i8i00-4-400-44-44444i−4i4i−4i4i−4i4i−4i200002-2-2000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1208-88-8−8i8i8i−8i00-4-4004-44-444−4i4i−4i4i4i−4i4i−4i20000-22-2000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000

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