Finite Group Databasebeta

← Group #11785597

Character table — Group #11785597

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666663666666688881212121212121212121212126612122424242424242424242424242424242488884444888812121212121212122424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ811111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ91-1-111-1111-1-11-1-111-1-1111-1-1-1-1111-1-111-1-1-1-11111-1-11-11-111111111-1-1-1-1-1-1-1-111-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ101-1-111-1111-1-11-1-111-1-1111-1-1-1-1111-1-111-1-1-1-11111-1-11-11-111111111-1-1-1-1-1-1-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ111-1-111-1111-1-11-1-111-1-1111-1-1-1-1111-1-111-1-1-1-11111-1-11-11-111111111-1-1-1-1-1-1-1-1-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-11-11
χ121-1-111-1111-1-11-1-111-1-1111-1-1-1-1111-1-111-1-1-1-11111-1-11-11-111111111-1-1-1-1-1-1-1-1-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-11-11
χ131-1-111-1111-1-11-1-111-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-11-11-1-1-1-1-1-1-1-1-11111111111-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-11-111-1
χ141-1-111-1111-1-11-1-111-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-11-11-1-1-1-1-1-1-1-1-11111111111-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-11-111-1
χ151-1-111-1111-1-11-1-111-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-11-11-1-1-1-1-1-1-1-1-111111111-1-111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1-11-1-11
χ161-1-111-1111-1-11-1-111-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-11-11-1-1-1-1-1-1-1-1-111111111-1-111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1-11-1-11
χ1722222222-2-2-2-2222222222222222i−2i2i−2i-2-2-2-2-2-2-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ1822222222-2-2-2-222222222222222−2i2i−2i2i-2-2-2-2-2-2-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ192222222-122222-12-12-1-12-12-1-1-1-122222-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ202222222-122222-12-12-1-12-12-1-1-1-122222-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000-2-200-2-20000111100001111000000
χ212222222-122222-12-12-1-12-12-1-1-1-1-2-2-2-22-12-1-1-12-1-1-12-1-1-1-1-1-2111-2111-2111-21110000002200-2-20000-1-1-1-100001111000000
χ222222222-122222-12-12-1-12-12-1-1-1-1-2-2-2-22-12-1-1-12-1-1-12-1-1-1-1-1-2111-2111-2111-2111000000-2-20022000011110000-1-1-1-1000000
χ232222222-1-2-2-2-22-12-12-1-12-12-1-1-1-12i−2i2i−2i-21-2111-2111-21-1-1112i−i−i−i−2iiii2i−i−i−i−2iiii0000000000000000−i3i3−i3i300003−33−3000000
χ242222222-1-2-2-2-22-12-12-1-12-12-1-1-1-12i−2i2i−2i-21-2111-2111-21-1-1112i−i−i−i−2iiii2i−i−i−i−2iiii0000000000000000i3−i3i3−i30000−33−33000000
χ252222222-1-2-2-2-22-12-12-1-12-12-1-1-1-1−2i2i−2i2i-21-2111-2111-21-1-111−2iiii2i−i−i−i−2iiii2i−i−i−i0000000000000000−i3i3−i3i30000−33−33000000
χ262222222-1-2-2-2-22-12-12-1-12-12-1-1-1-1−2i2i−2i2i-21-2111-2111-21-1-111−2iiii2i−i−i−i−2iiii2i−i−i−i0000000000000000i3−i3i3−i300003−33−3000000
χ27222222-122222-12-12-12-1-12-12-1-1-12222-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ28222222-122222-12-12-12-1-12-12-1-1-12222-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-10000-2-200-2-2001111000011110000000000
χ29222222-122222-12-12-12-1-12-12-1-1-1-2-2-2-2-12-12-1-1-12-1-1-12-1-1-1-11-2111-2111-2111-21100002200-2-200-1-1-1-1000011110000000000
χ30222222-122222-12-12-12-1-12-12-1-1-1-2-2-2-2-12-12-1-1-12-1-1-12-1-1-1-11-2111-2111-2111-2110000-2-200220011110000-1-1-1-10000000000
χ31222222-12-2-2-2-2-12-12-12-1-12-12-1-1-12i−2i2i−2i1-21-2111-2111-2-1-111−i2i−i−ii−2iii−i2i−i−ii−2iii000000000000−i3i3−i3i300003−33−30000000000
χ32222222-12-2-2-2-2-12-12-12-1-12-12-1-1-12i−2i2i−2i1-21-2111-2111-2-1-111−i2i−i−ii−2iii−i2i−i−ii−2iii000000000000i3−i3i3−i30000−33−330000000000
χ33222222-12-2-2-2-2-12-12-12-1-12-12-1-1-1−2i2i−2i2i1-21-2111-2111-2-1-111i−2iii−i2i−i−ii−2iii−i2i−i−i000000000000−i3i3−i3i30000−33−330000000000
χ34222222-12-2-2-2-2-12-12-12-1-12-12-1-1-1−2i2i−2i2i1-21-2111-2111-2-1-111i−2iii−i2i−i−ii−2iii−i2i−i−i000000000000i3−i3i3−i300003−33−30000000000
χ352222-2-2222-22-22222222-2-2-2-2222000022-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000000022-2-200
χ362222-2-2222-22-22222222-2-2-2-2222000022-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000000000000000-2-22200
χ372222-2-222-22-222222222-2-2-2-22220000-2-222222222-2-2-2-2-2-2000000000000000022220000000000000000000000000000-2-2
χ382222-2-222-22-222222222-2-2-2-22220000-2-222222222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000000022
χ392-2-222-222-222-2-2-222-2-2222-2-2-2-222i−2i−2i2i-2-22222-2-2-2-2222-2-222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ402-2-222-222-222-2-2-222-2-2222-2-2-2-22−2i2i2i−2i-2-22222-2-2-2-2222-2-22−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ412-2-222-22-12-2-22-212-1-21-12-1-2111-122-2-22-1-21112-1-1-1-21-11-112-1-1-12-1-1-1-2111-21110000002i−2i002i−2i0000−i−iii0000−i−iii000000
χ422-2-222-22-12-2-22-212-1-21-12-1-2111-122-2-22-1-21112-1-1-1-21-11-112-1-1-12-1-1-1-2111-2111000000−2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ432-2-222-22-12-2-22-212-1-21-12-1-2111-1-2-2222-1-21112-1-1-1-21-11-11-2111-21112-1-1-12-1-1-10000002i−2i00−2i2i0000−i−iii0000ii−i−i000000
χ442-2-222-22-12-2-22-212-1-21-12-1-2111-1-2-2222-1-21112-1-1-1-21-11-11-2111-21112-1-1-12-1-1-1000000−2i2i002i−2i0000ii−i−i0000−i−iii000000
χ452-2-222-22-1-222-2-212-1-21-12-1-2111-12i−2i−2i2i-212-1-1-1-21112-1-111-12i−i−i−i−2iiii−2iiii2i−i−i−i00000000000000003−3−330000i3−i3−i3i3000000
χ462-2-222-22-1-222-2-212-1-21-12-1-2111-12i−2i−2i2i-212-1-1-1-21112-1-111-12i−i−i−i−2iiii−2iiii2i−i−i−i0000000000000000−333−30000−i3i3i3−i3000000
χ472-2-222-22-1-222-2-212-1-21-12-1-2111-1−2i2i2i−2i-212-1-1-1-21112-1-111-1−2iiii2i−i−i−i2i−i−i−i−2iiii00000000000000003−3−330000−i3i3i3−i3000000
χ482-2-222-22-1-222-2-212-1-21-12-1-2111-1−2i2i2i−2i-212-1-1-1-21112-1-111-1−2iiii2i−i−i−i2i−i−i−i−2iiii0000000000000000−333−30000i3−i3−i3i3000000
χ492-2-222-2-122-2-221-2-121-2-1-121-211-122-2-2-121-211-12-1-11-2-11-11-12-1-1-12-1-11-2111-21100002i−2i002i−2i00−i−iii0000−i−iii0000000000
χ502-2-222-2-122-2-221-2-121-2-1-121-211-122-2-2-121-211-12-1-11-2-11-11-12-1-1-12-1-11-2111-2110000−2i2i00−2i2i00ii−i−i0000ii−i−i0000000000
χ512-2-222-2-122-2-221-2-121-2-1-121-211-1-2-222-121-211-12-1-11-2-11-111-2111-211-12-1-1-12-1-100002i−2i00−2i2i00−i−iii0000ii−i−i0000000000
χ522-2-222-2-122-2-221-2-121-2-1-121-211-1-2-222-121-211-12-1-11-2-11-111-2111-211-12-1-1-12-1-10000−2i2i002i−2i00ii−i−i0000−i−iii0000000000
χ532-2-222-2-12-222-21-2-121-2-1-121-211-12i−2i−2i2i1-2-12-1-11-211-12-111-1−i2i−i−ii−2iiii−2iii−i2i−i−i0000000000003−3−330000i3−i3−i3i30000000000
χ542-2-222-2-12-222-21-2-121-2-1-121-211-12i−2i−2i2i1-2-12-1-11-211-12-111-1−i2i−i−ii−2iiii−2iii−i2i−i−i000000000000−333−30000−i3i3i3−i30000000000
χ552-2-222-2-12-222-21-2-121-2-1-121-211-1−2i2i2i−2i1-2-12-1-11-211-12-111-1i−2iii−i2i−i−i−i2i−i−ii−2iii0000000000003−3−330000−i3i3i3−i30000000000
χ562-2-222-2-12-222-21-2-121-2-1-121-211-1−2i2i2i−2i1-2-12-1-11-211-12-111-1i−2iii−i2i−i−i−i2i−i−ii−2iii000000000000−333−30000i3−i3−i3i30000000000
χ572-2-22-222222-2-2-2-222-2-22-2-222-2-220000222222-2-2-2-2-2-2-222-2000000000000000000000000000000000000000000002-2-2200
χ582-2-22-222222-2-2-2-222-2-22-2-222-2-220000222222-2-2-2-2-2-2-222-200000000000000000000000000000000000000000000-222-200
χ592-2-22-2222-2-222-2-222-2-22-2-222-2-220000-2-2-2-2-2-2222222-22-22000000000000000022-2-20000000000000000000000000000-22
χ602-2-22-2222-2-222-2-222-2-22-2-222-2-220000-2-2-2-2-2-2222222-22-220000000000000000-2-22200000000000000000000000000002-2
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-21114444-2-2-2-211-2-211-2-21111-2-211-2-211-2-211-2-2110000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-4-4-4-4-2-2-2-211-2-211-2-2111122-1-122-1-122-1-122-1-10000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21114i−4i4i−4i2222-1-122-1-12211-1-1−2i−2iii2i2i−i−i−2i−2iii2i2i−i−i0000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111−4i4i−4i4i2222-1-122-1-12211-1-12i2i−i−i−2i−2iii2i2i−i−i−2i−2iii0000000000000000000000000000000000
χ654444-4-44-24-44-44-24-24-2-2-42-42-2-2-200004-2-4222-42224-222-2-200000000000000000000000000000000000000000000000000
χ664444-4-44-2-44-444-24-24-2-2-42-42-2-2-20000-424-2-2-24-2-2-2-42222200000000000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-24-24-24-22-42-4-2-2-20000-242-4222-422-2422-2-200000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-24-24-24-22-42-4-2-2-200002-4-24-2-2-24-2-22-4222200000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2122221110000-2-222-1-122-1-1-2-2-1-111003i−3i003i−3i003i−3i003i−3i0000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2122221110000-2-222-1-122-1-1-2-2-1-11100−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-212222111000022-2-211-2-21122-1-1-1-1003-300-33003-300-330000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-212222111000022-2-211-2-21122-1-1-1-100-33003-300-33003-30000000000000000000000000000000000
χ7344-4-4004400004-4-4-4-44400004-4-4000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000000000
χ7444-4-4004400004-4-4-4-44400004-4-40000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000000000
χ754-44-400440000-44-4-44-440000-44-4000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000
χ764-44-400440000-44-4-44-440000-44-40000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000
χ774-4-444-4-2-24-4-4422-2-2221-2-222-1-1144-4-4-2-222-1-1-2-211221-11-1-2-211-2-21122-1-122-1-10000000000000000000000000000000000
χ784-4-444-4-2-24-4-4422-2-2221-2-222-1-11-4-444-2-222-1-1-2-211221-11-122-1-122-1-1-2-211-2-2110000000000000000000000000000000000
χ794-4-444-4-2-2-444-422-2-2221-2-222-1-114i−4i−4i4i22-2-21122-1-1-2-21-1-11−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii0000000000000000000000000000000000
χ804-4-444-4-2-2-444-422-2-2221-2-222-1-11−4i4i4i−4i22-2-21122-1-1-2-21-1-112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i0000000000000000000000000000000000
χ814-4-44-444-244-4-4-424-2-42-2-424-222-200004-24-2-2-2-4222-422-2-2200000000000000000000000000000000000000000000000000
χ824-4-44-444-2-4-444-424-2-42-2-424-222-20000-42-42224-2-2-24-22-22-200000000000000000000000000000000000000000000000000
χ834-4-44-44-2444-4-42-4-242-4-22-4-2422-20000-24-24-2-22-4222-42-2-2200000000000000000000000000000000000000000000000000
χ844-4-44-44-24-4-4442-4-242-4-22-4-2422-200002-42-422-24-2-2-242-22-200000000000000000000000000000000000000000000000000
χ854-4-44-44-2-244-4-422-2-222122-2-2-1-110000-2-2-2-21122-1-122-111-1003i−3i003i−3i00−3i3i00−3i3i0000000000000000000000000000000000
χ864-4-44-44-2-244-4-422-2-222122-2-2-1-110000-2-2-2-21122-1-122-111-100−3i3i00−3i3i003i−3i003i−3i0000000000000000000000000000000000
χ874-4-44-44-2-2-4-44422-2-222122-2-2-1-1100002222-1-1-2-211-2-2-11-11003-300-3300-33003-30000000000000000000000000000000000
χ884-4-44-44-2-2-4-44422-2-222122-2-2-1-1100002222-1-1-2-211-2-2-11-1100-33003-3003-300-330000000000000000000000000000000000
χ8988-8-8008-4000084-84-8-4-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-4-84-848-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44444-4200002-2-2000000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44444-4200002-2-200000000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-8-4-8484-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-480000484-8-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-444-4420000-22-2000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-444-4420000-22-200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000

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