Finite Group Databasebeta

← Group #11866146

Character table — Group #11866146

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444666666666666668888888888888888812121212121212121212121212121212122424242424242424484872727272
order122233444466666612121212344444666121212121212121212121212121212121212121222444412121212121212121212121212121212121212121212121212224446666661212121212122488242424246122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11111-1-1111111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11111-1-11111-1-1111111-1-111-1-1
χ9111111-1-111111111-1-1-1-11-111-1-1111-1-111-1-11111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-11-111-1-1111-1-111-1-11111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-111-11-11-11
χ11111111-1-111111111-1-1-1-11-111-1-1111-1-111-1-11111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-11111-111-1-111-1-11111-1-1-1-1111-1-1-1-1111111-1-1-1-11-11-111-1-11-1-11-11
χ12111111-1-111111111-1-1-1-11-111-1-1111-1-111-1-11111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-11111-111-1-111-1-11111-1-1-1-1111-1-1-1-1111111-1-1-1-1-11-11-1-111-111-11-1
χ13111111-1-111111111-1-1-1-11-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-11-1-11-1-1111-11-1-11
χ14111111-1-111111111-1-1-1-11-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-111-111-1-1-11-111-1
χ15111111-1-111111111-1-1-1-11-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11111111-1-11-1-1111-1-111-1
χ16111111-1-111111111-1-1-1-11-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1111111-111-111-1-1-111-1-11
χ1722222222-2-222222222222-2000022222-2-2-2-200000000-22222-222-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2000000000020022000022000000000000000000
χ1822222222-2-222222222222-2000022222-2-2-2-200000000-22222-2-2-2222222222222-20000-2-2-2-20000000000-200-2-20000-2-2000000000000000000
χ19222222-2-2-2-2222222-2-2-2-2220000222-2-2-2-22200000000-2-2-2-2-2-22222-2-2-2-2-2-2222220000-2-2220000000000-200220000-2-2000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2220000222-2-2-2-22200000000-2-2-2-2-2-2-2-2-2-2222222-2-2-2-220000-2-2220000000000200-2-2000022000000000000000000
χ2122222-1222222-1-12-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222222-1-12-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12-2-2-2-2-2-21111111122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211111111111100000000000000
χ2322222-1222222-1-12-1-1-1-1-1-12-2-2-2-2-1-1-122-1-1-1-1111111112-1-1-1-12222222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111-2-22-2-2-1-11111-1-1111100000000000000
χ2422222-1222222-1-12-1-1-1-1-1-12-2-2-2-2-1-1-122-1-1-1-1111111112-1-1-1-12-2-2-2-2-2-2111111112-2-2-2-2-1-1-1-11111111122-22211-1-1-1-111-1-1-1-100000000000000
χ2522222-122-2-222-1-12-1-1-1-1-1-1-20000-1-1-1221111−i3−i3i3i3−i3−i3i3i3-2-1-1-1-1-222-2-2-2-211111111-200001111−i3−i3i3i3−i3−i3i3i300200-1-1−i3−i3i3i3-1-1−i3−i3i3i300000000000000
χ2622222-122-2-222-1-12-1-1-1-1-1-1-20000-1-1-1221111−i3−i3i3i3−i3−i3i3i3-2-1-1-1-1-2-2-22222-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i300-20011i3i3−i3−i311i3i3−i3−i300000000000000
χ2722222-122-2-222-1-12-1-1-1-1-1-1-20000-1-1-1221111i3i3−i3−i3i3i3−i3−i3-2-1-1-1-1-222-2-2-2-211111111-200001111i3i3−i3−i3i3i3−i3−i300200-1-1i3i3−i3−i3-1-1i3i3−i3−i300000000000000
χ2822222-122-2-222-1-12-1-1-1-1-1-1-20000-1-1-1221111i3i3−i3−i3i3i3−i3−i3-2-1-1-1-1-2-2-22222-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i300-20011−i3−i3i3i311−i3−i3i3i300000000000000
χ2922222-1-2-22222-1-12-11111-1-222-2-2-1-1-1-2-2-1-111-1-1-1-1111121111222-2-222-1-1-1-11111-222-2-2-1-111-1-1-1-11111-2-2-222-1-1111111-1-1-1-100000000000000
χ3022222-1-2-22222-1-12-11111-1-222-2-2-1-1-1-2-2-1-111-1-1-1-11111211112-2-222-2-21111-1-1-1-1-222-2-2-1-111-1-1-1-11111222-2-211-1-1-1-1-1-1111100000000000000
χ3122222-1-2-22222-1-12-11111-1-2-2-222-1-1-1-2-2-1-1111111-1-1-1-121111222-2-222-1-1-1-11111-2-2-222-1-1111111-1-1-1-122-2-2-2-1-1-1-1-1-111111100000000000000
χ3222222-1-2-22222-1-12-11111-1-2-2-222-1-1-1-2-2-1-1111111-1-1-1-1211112-2-222-2-21111-1-1-1-1-2-2-222-1-1111111-1-1-1-1-2-2222111111-1-1-1-1-1-100000000000000
χ3322222-1-2-2-2-222-1-12-11111-120000-1-1-1-2-211-1-1−i3−i3i3i3i3i3−i3−i3-21111-22222-2-21111-1-1-1-12000011-1-1−i3−i3i3i3i3i3−i3−i300-200-1-1i3i3−i3−i311−i3−i3i3i300000000000000
χ3422222-1-2-2-2-222-1-12-11111-120000-1-1-1-2-211-1-1−i3−i3i3i3i3i3−i3−i3-21111-2-2-2-2-222-1-1-1-111112000011-1-1−i3−i3i3i3i3i3−i3−i30020011−i3−i3i3i3-1-1i3i3−i3−i300000000000000
χ3522222-1-2-2-2-222-1-12-11111-120000-1-1-1-2-211-1-1i3i3−i3−i3−i3−i3i3i3-21111-22222-2-21111-1-1-1-12000011-1-1i3i3−i3−i3−i3−i3i3i300-200-1-1−i3−i3i3i311i3i3−i3−i300000000000000
χ3622222-1-2-2-2-222-1-12-11111-120000-1-1-1-2-211-1-1i3i3−i3−i3−i3−i3i3i3-21111-2-2-2-2-222-1-1-1-111112000011-1-1i3i3−i3−i3−i3−i3i3i30020011i3i3−i3−i3-1-1−i3−i3i3i300000000000000
χ372222-122222-1-122-122222-122222-1-1-1-1-1222222222222-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002222-1-1-1-1-1-10000
χ382222-122222-1-122-122222-122222-1-1-1-1-1222222222222-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-2-2-2-21111110000
χ392222-122222-1-122-122222-12-2-2-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000000-11111-1-1-1-1111111110000000000000000022-2-21111-1-10000
χ402222-122222-1-122-122222-12-2-2-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000000000-11111-1-1-1-11111111100000000000000000-2-222-1-1-1-1110000
χ412222-12-2-222-1-122-12-2-2-2-2-1-222-2-2-1-1-11122-2-22222-2-2-2-2-11111-1000000000000001-1-111-1-111-1-1-1-11111000000000000000002-22-2-1-111-110000
χ422222-12-2-222-1-122-12-2-2-2-2-1-222-2-2-1-1-11122-2-22222-2-2-2-2-11111-1000000000000001-1-111-1-111-1-1-1-1111100000000000000000-22-2211-1-11-10000
χ432222-12-2-222-1-122-12-2-2-2-2-1-2-2-222-1-1-11122-2-2-2-2-2-22222-11111-100000000000000111-1-1-1-1111111-1-1-1-1000000000000000002-2-2211-1-1-110000
χ442222-12-2-222-1-122-12-2-2-2-2-1-2-2-222-1-1-11122-2-2-2-2-2-22222-11111-100000000000000111-1-1-1-1111111-1-1-1-100000000000000000-222-2-1-1111-10000
χ452-2-2222002-2-2-22-22-20000202i−2i00-22-2002-2002i−2i2i−2i000020000-22-2002-222-2-2000002i−2i002-2002i−2i2i−2i00000002i−2i2-20000002i−2i2i−2i00000000000000
χ462-2-2222002-2-2-22-22-20000202i−2i00-22-2002-2002i−2i2i−2i000020000-2-2200-22-2-222000002i−2i002-2002i−2i2i−2i0000000−2i2i-22000000−2i2i−2i2i00000000000000
χ472-2-2222002-2-2-22-22-2000020−2i2i00-22-2002-200−2i2i−2i2i000020000-22-2002-222-2-200000−2i2i002-200−2i2i−2i2i0000000−2i2i2-2000000−2i2i−2i2i00000000000000
χ482-2-2222002-2-2-22-22-2000020−2i2i00-22-2002-200−2i2i−2i2i000020000-2-2200-22-2-22200000−2i2i002-200−2i2i−2i2i00000002i−2i-220000002i−2i2i−2i00000000000000
χ492-2-222200-22-2-22-22-2000020002-2-22-200-220000002-22-2-2000022-200-22-2-22200000002-2-220000002-22-22-20002-22-22-200000000000000000000
χ502-2-222200-22-2-22-22-2000020002-2-22-200-220000002-22-2-200002-22002-222-2-200000002-2-220000002-22-2-22000-22-22-2200000000000000000000
χ512-2-222200-22-2-22-22-200002000-22-22-200-22000000-22-22-2000022-200-22-2-2220000000-22-22000000-22-22-220002-2-22-2200000000000000000000
χ522-2-222200-22-2-22-22-200002000-22-22-200-22000000-22-22-200002-22002-222-2-20000000-22-22000000-22-222-2000-222-22-200000000000000000000
χ532-2-222-1002-2-2-2-112133−3−3-102i−2i001-1100-113−3−ii−ii−i3i3i3−i3233−3−3-22-2002-2-1-11133−3−302i−2i00-113−3−ii−ii−i3i3i3−i30002i−2i-11−i3i3i3−i33−3−ii−ii00000000000000
χ542-2-222-1002-2-2-2-112133−3−3-102i−2i001-1100-113−3−ii−ii−i3i3i3−i3233−3−3-2-2200-2211-1-1−3−33302i−2i00-113−3−ii−ii−i3i3i3−i3000−2i2i1-1i3−i3−i3i3−33i−ii−i00000000000000
χ552-2-222-1002-2-2-2-112133−3−3-10−2i2i001-1100-113−3i−ii−ii3−i3−i3i3233−3−3-22-2002-2-1-11133−3−30−2i2i00-113−3i−ii−ii3−i3−i3i3000−2i2i-11i3−i3−i3i33−3i−ii−i00000000000000
χ562-2-222-1002-2-2-2-112133−3−3-10−2i2i001-1100-113−3i−ii−ii3−i3−i3i3233−3−3-2-2200-2211-1-1−3−3330−2i2i00-113−3i−ii−ii3−i3−i3i30002i−2i1-1−i3i3i3−i3−33−ii−ii00000000000000
χ572-2-222-1002-2-2-2-1121−3−333-102i−2i001-1100-11−33−ii−iii3−i3−i3i32−3−333-22-2002-2-1-111−3−33302i−2i00-11−33−ii−iii3−i3−i3i30002i−2i-11i3−i3−i3i3−33−ii−ii00000000000000
χ582-2-222-1002-2-2-2-1121−3−333-102i−2i001-1100-11−33−ii−iii3−i3−i3i32−3−333-2-2200-2211-1-133−3−302i−2i00-11−33−ii−iii3−i3−i3i3000−2i2i1-1−i3i3i3−i33−3i−ii−i00000000000000
χ592-2-222-1002-2-2-2-1121−3−333-10−2i2i001-1100-11−33i−ii−i−i3i3i3−i32−3−333-22-2002-2-1-111−3−3330−2i2i00-11−33i−ii−i−i3i3i3−i3000−2i2i-11−i3i3i3−i3−33i−ii−i00000000000000
χ602-2-222-1002-2-2-2-1121−3−333-10−2i2i001-1100-11−33i−ii−i−i3i3i3−i32−3−333-2-2200-2211-1-133−3−30−2i2i00-11−33i−ii−i−i3i3i3−i30002i−2i1-1i3−i3−i3i33−3−ii−ii00000000000000
χ612-2-222-100-22-2-2-112133−3−3-10002-21-11001-1−333−3−33-11-11-233−3−322-200-2211-1-1−3−3330002-21-1−333−3−33-11-112-2000-11-11-113−33−3−3300000000000000
χ622-2-222-100-22-2-2-112133−3−3-10002-21-11001-1−333−3−33-11-11-233−3−32-22002-2-1-11133−3−30002-21-1−333−3−33-11-11-220001-11-11-1−33−333−300000000000000
χ632-2-222-100-22-2-2-112133−3−3-1000-221-11001-1−33−333−31-11-1-233−3−322-200-2211-1-1−3−333000-221-1−33−333−31-11-1-22000-111-11-13−3−333−300000000000000
χ642-2-222-100-22-2-2-112133−3−3-1000-221-11001-1−33−333−31-11-1-233−3−32-22002-2-1-11133−3−3000-221-1−33−333−31-11-12-20001-1-11-11−333−3−3300000000000000
χ652-2-222-100-22-2-2-1121−3−333-10002-21-11001-13−3−333−3-11-11-2−3−33322-200-2211-1-133−3−30002-21-13−3−333−3-11-112-2000-11-11-11−33−333−300000000000000
χ662-2-222-100-22-2-2-1121−3−333-10002-21-11001-13−3−333−3-11-11-2−3−3332-22002-2-1-111−3−3330002-21-13−3−333−3-11-11-220001-11-11-13−33−3−3300000000000000
χ672-2-222-100-22-2-2-1121−3−333-1000-221-11001-13−33−3−331-11-1-2−3−33322-200-2211-1-133−3−3000-221-13−33−3−331-11-1-22000-111-11-1−333−3−3300000000000000
χ682-2-222-100-22-2-2-1121−3−333-1000-221-11001-13−33−3−331-11-1-2−3−3332-22002-2-1-111−3−333000-221-13−33−3−331-11-12-20001-1-11-113−3−333−300000000000000
χ694444-2444-4-4-2-244-244444-2-40000-2-2-2-2-2-4-4-4-4000000002-2-2-2-2200000000000000200002222000000000000000000000000000000000000000
χ704444-24-4-4-4-4-2-244-24-4-4-4-4-240000-2-2-222-4-4440000000022222200000000000000-2000022-2-2000000000000000000000000000000000000000
χ714444-2-24444-2-2-2-2-2-2-2-2-2-2144444111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-200000000000000-2-2-2-2-21111111111110000000000000000000000000000000
χ724444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-222222222-21111-200000000000000-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000
χ734444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-40000111-2-22222−2i3−2i32i32i3−2i3−2i32i32i32111120000000000000020000-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000
χ744444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-40000111-2-222222i32i3−2i3−2i32i32i3−2i3−2i32111120000000000000020000-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000
χ754444-2-2-4-444-2-2-2-2-2-222221-444-4-411122-2-222-2-2-2-22222-2-1-1-1-1-2000000000000002-2-22211-1-11111-1-1-1-10000000000000000000000000000000
χ764444-2-2-4-444-2-2-2-2-2-222221-4-4-44411122-2-2222222-2-2-2-2-2-1-1-1-1-200000000000000222-2-211-1-1-1-1-1-111110000000000000000000000000000000
χ774444-2-2-4-4-4-4-2-2-2-2-2-222221400001112222-2-2−2i3−2i32i32i32i32i3−2i3−2i32-1-1-1-1200000000000000-20000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000
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χ894-44-44400004-4-4-4-4400004000004-4-400000000000000000000004i−4i0000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ904-44-44400004-4-4-4-4400004000004-4-40000000000000000000000−4i4i000000−4i4i4i−4i000000000000000000000000000000000000000000000000
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χ964-4-44-24004-4224-4-2-40000-20−4i4i002-22004-400−4i4i−4i4i0000-2000020000000000000002i−2i00-22002i−2i2i−2i00000000000000000000000000000000000
χ974-4-44-2400-44224-4-2-40000-20004-42-2200-440000004-44-420000-200000000000000000-222-2000000-22-220000000000000000000000000000000
χ984-4-44-2400-44224-4-2-40000-2000-442-2200-44000000-44-4420000-2000000000000000002-22-20000002-22-20000000000000000000000000000000
χ994-4-44-2-2004-422-22-222323−23−23104i−4i00-11-100-2223−23−2i2i−2i2i−2i32i32i3−2i3-2−3−3332000000000000000−2i2i001-1−33i−ii−ii3−i3−i3i30000000000000000000000000000000
χ1004-4-44-2-2004-422-22-222323−23−2310−4i4i00-11-100-2223−232i−2i2i−2i2i3−2i3−2i32i3-2−3−33320000000000000002i−2i001-1−33−ii−ii−i3i3i3−i30000000000000000000000000000000
χ1014-4-44-2-2004-422-22-22−23−232323104i−4i00-11-100-22−2323−2i2i−2i2i2i3−2i3−2i32i3-233−3−32000000000000000−2i2i001-13−3i−ii−i−i3i3i3−i30000000000000000000000000000000
χ1024-4-44-2-2004-422-22-22−23−23232310−4i4i00-11-100-22−23232i−2i2i−2i−2i32i32i3−2i3-233−3−320000000000000002i−2i001-13−3−ii−iii3−i3−i3i30000000000000000000000000000000
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χ1044-4-44-2-200-4422-22-222323−23−231000-44-11-1002-2−2323−232323−232-22-22−3−333-2000000000000000002-2-113−33−3−33-11-110000000000000000000000000000000
χ1054-4-44-2-200-4422-22-22−23−23232310004-4-11-1002-223−23−232323−23-22-22233−3−3-200000000000000000-22-11−333−3−331-11-10000000000000000000000000000000
χ1064-4-44-2-200-4422-22-22−23−2323231000-44-11-1002-223−2323−23−23232-22-2233−3−3-2000000000000000002-2-11−33−333−3-11-110000000000000000000000000000000
χ10788-8-8-4-48i−8i004-44-444−4i4i−4i4i200000-2-22−4i4i00000000000002i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4−8i8i004-44-4444i−4i4i−4i200000-2-224i−4i0000000000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-480000-44-8-8480000-400000-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-40000-44444-4−4i34i34i3−4i32000002-2-20000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-40000-44444-44i3−4i3−4i34i32000002-2-2000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000

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