Finite Group Databasebeta

← Group #11824571

Character table — Group #11824571

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order12222222336666666666666634444446666666121212121212121212121212222244446666666612121212121212121212121212121212121222444444121212121212121212121212226666661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1111-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111-11111-1-1-1-111-1-1-11
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-11-1-1-1-11111-1-1111-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-111-11
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-11-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1111-1-111-1-111-1-11-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-1-111-1-111-1-111-11
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-11111-1-11111-1-1
χ17222222222-12222-1-1-1-1-1-1-1222-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-12222-1-1-1-1-1-1-1222-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-211111111000000
χ19222222222-12222-1-1-1-1-1-1-1222-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-11111111122-2-200000000000000002-2-1-1-1-11111000000
χ20222222222-12222-1-1-1-1-1-1-1222-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-111111111-2-2220000000000000000-221111-1-1-1-1000000
χ21222222222-12222-1-1-1-1-1-1-1222-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-1111122-2-20000000000000000-22-1-111-1-111000000
χ22222222222-12222-1-1-1-1-1-1-1222-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-11111-2-22200000000000000002-211-1-111-1-1000000
χ23222222222-12222-1-1-1-1-1-1-1222-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-122220000000000000000-2-2-1-11111-1-1000000
χ24222222222-12222-1-1-1-1-1-1-1222-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-1-2-2-2-200000000000000002211-1-1-1-111000000
χ2522222222-12-1-1-1-12222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-12222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-21111111111110000000000000000
χ2722222222-12-1-1-1-12222222-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000022-2-2-1-1-1-1111111110000000000000000
χ2822222222-12-1-1-1-12222222-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111111122-2-2-2-2-1-1-1-1111111110000-2-2221111-1-1-1-1-1-1-1-10000000000000000
χ2922222222-12-1-1-1-12222222-1-1-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000-2-2221111-1-1-1-111110000000000000000
χ3022222222-12-1-1-1-12222222-1-1-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2222211111111-2-222-2-21111-1-1-1-11111000022-2-2-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1-1-12222222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000-2-2-2-211111111-1-1-1-10000000000000000
χ3222222222-12-1-1-1-12222222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-22211111111-1-1-1-100002222-1-1-1-1-1-1-1-111110000000000000000
χ33222-2-2-2-2222222-2222-2-2-2-2-2-2-22000000222-2-2-2-200000000000022-2-200002222-2-2-2-2000000000000000000002i−2i0000000000000000000000002i−2i2i−2i0000
χ34222-2-2-2-2222222-2222-2-2-2-2-2-2-22000000222-2-2-2-200000000000022-2-200002222-2-2-2-200000000000000000000−2i2i000000000000000000000000−2i2i−2i2i0000
χ35222-2-2-2-2222222-2222-2-2-2-2-2-2-22000000222-2-2-2-2000000000000-2-2220000-2-2-2-22222000000000000000000002i−2i0000000000000000000000002i−2i−2i2i0000
χ36222-2-2-2-2222222-2222-2-2-2-2-2-2-22000000222-2-2-2-2000000000000-2-2220000-2-2-2-2222200000000000000000000−2i2i000000000000000000000000−2i2i2i−2i0000
χ3722-222-2-2-2222-2-222-2-22-2-222-2-22002-2002-2-222-2-2000022-2-2000000002i2i−2i−2i00000000002-200000022-2-2000000002i−2i002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ3822-222-2-2-2222-2-222-2-22-2-222-2-22002-2002-2-222-2-2000022-2-200000000−2i−2i2i2i00000000002-200000022-2-200000000−2i2i00−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ3922-222-2-2-2222-2-222-2-22-2-222-2-2200-22002-2-222-2-20000-2-222000000002i2i−2i−2i0000000000-22000000-2-22200000000−2i2i00−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ4022-222-2-2-2222-2-222-2-22-2-222-2-2200-22002-2-222-2-20000-2-22200000000−2i−2i2i2i0000000000-22000000-2-222000000002i−2i002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ4122-222-2-2-2-12-111-12-2-22-2-22-111-1002-200-111-1-11133−3−3-1-11133−3−300002i2i−2i−2i−i3−i3i3i3−i3−i3i3i3002-20033−3−3-1-11133−3−300002i−2i00−i−iii−i3−i3i3i3−i−iii0000000000000000
χ4222-222-2-2-2-12-111-12-2-22-2-22-111-1002-200-111-1-11133−3−3-1-11133−3−30000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i3002-20033−3−3-1-11133−3−30000−2i2i00ii−i−ii3i3−i3−i3ii−i−i0000000000000000
χ4322-222-2-2-2-12-111-12-2-22-2-22-111-1002-200-111-1-111−3−333-1-111−3−33300002i2i−2i−2ii3i3−i3−i3i3i3−i3−i3002-200−3−333-1-111−3−33300002i−2i00−i−iiii3i3−i3−i3−i−iii0000000000000000
χ4422-222-2-2-2-12-111-12-2-22-2-22-111-1002-200-111-1-111−3−333-1-111−3−3330000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i3002-200−3−333-1-111−3−3330000−2i2i00ii−i−i−i3−i3i3i3ii−i−i0000000000000000
χ4522-222-2-2-2-12-111-12-2-22-2-22-111-100-2200-111-1-11133−3−311-1-1−3−33300002i2i−2i−2ii3i3−i3−i3i3i3−i3−i300-220033−3−311-1-1−3−3330000−2i2i00ii−i−i−i3−i3i3i3−i−iii0000000000000000
χ4622-222-2-2-2-12-111-12-2-22-2-22-111-100-2200-111-1-11133−3−311-1-1−3−3330000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i300-220033−3−311-1-1−3−33300002i−2i00−i−iiii3i3−i3−i3ii−i−i0000000000000000
χ4722-222-2-2-2-12-111-12-2-22-2-22-111-100-2200-111-1-111−3−33311-1-133−3−300002i2i−2i−2i−i3−i3i3i3−i3−i3i3i300-2200−3−33311-1-133−3−30000−2i2i00ii−i−ii3i3−i3−i3−i−iii0000000000000000
χ4822-222-2-2-2-12-111-12-2-22-2-22-111-100-2200-111-1-111−3−33311-1-133−3−30000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i300-2200−3−33311-1-133−3−300002i−2i00−i−iii−i3−i3i3i3ii−i−i0000000000000000
χ492-222-22-2-222-22-22-22-2-22-22-22-222-20000-22-22-22-22-22-20000000000002i−2i2i−2i000000002-200002-22-2000000000000002i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000000
χ502-222-22-2-222-22-22-22-2-22-22-22-222-20000-22-22-22-22-22-2000000000000−2i2i−2i2i000000002-200002-22-200000000000000−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ512-222-22-2-222-22-22-22-2-22-22-22-22-220000-22-22-22-2-22-220000000000002i−2i2i−2i00000000-220000-22-2200000000000000−2i2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ522-222-22-2-222-22-22-22-2-22-22-22-22-220000-22-22-22-2-22-22000000000000−2i2i−2i2i00000000-220000-22-22000000000000002i−2i00002i−2i2i−2i−2i2i−2i2i0000000000000000
χ532-222-22-2-2-121-11-1-22-2-22-221-11-12-200001-11-11-11-11-113−33−33−33−300002i−2i2i−2i−i3i3−i3i3−i3i3−i3i32-20000-11-113−33−33−33−30000002i−2i−i3i3−i3i3−ii−ii−ii−ii0000000000000000
χ542-222-22-2-2-121-11-1-22-2-22-221-11-12-200001-11-11-11-11-113−33−33−33−30000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i32-20000-11-113−33−33−33−3000000−2i2ii3−i3i3−i3i−ii−ii−ii−i0000000000000000
χ552-222-22-2-2-121-11-1-22-2-22-221-11-12-200001-11-11-11-11-11−33−33−33−3300002i−2i2i−2ii3−i3i3−i3i3−i3i3−i32-20000-11-11−33−33−33−330000002i−2ii3−i3i3−i3−ii−ii−ii−ii0000000000000000
χ562-222-22-2-2-121-11-1-22-2-22-221-11-12-200001-11-11-11-11-11−33−33−33−330000−2i2i−2i2i−i3i3−i3i3−i3i3−i3i32-20000-11-11−33−33−33−33000000−2i2i−i3i3−i3i3i−ii−ii−ii−i0000000000000000
χ572-222-22-2-2-121-11-1-22-2-22-221-11-1-2200001-11-11-111-11-13−33−3−33−3300002i−2i2i−2ii3−i3i3−i3i3−i3i3−i3-2200001-11-13−33−3−33−33000000−2i2i−i3i3−i3i3i−ii−i−ii−ii0000000000000000
χ582-222-22-2-2-121-11-1-22-2-22-221-11-1-2200001-11-11-111-11-13−33−3−33−330000−2i2i−2i2i−i3i3−i3i3−i3i3−i3i3-2200001-11-13−33−3−33−330000002i−2ii3−i3i3−i3−ii−iii−ii−i0000000000000000
χ592-222-22-2-2-121-11-1-22-2-22-221-11-1-2200001-11-11-111-11-1−33−333−33−300002i−2i2i−2i−i3i3−i3i3−i3i3−i3i3-2200001-11-1−33−333−33−3000000−2i2ii3−i3i3−i3i−ii−i−ii−ii0000000000000000
χ602-222-22-2-2-121-11-1-22-2-22-221-11-1-2200001-11-11-111-11-1−33−333−33−30000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i3-2200001-11-1−33−333−33−30000002i−2i−i3i3−i3i3−ii−iii−ii−i0000000000000000
χ612-2-22-2-22222-2-222-2-22-2-222-2-22200002-2-2-222-2-22000000002-2-222-22-22-2-222-2-222-2-2200002-2000000002-2-2200000000000000002-2-220000000000000000
χ622-2-22-2-22222-2-222-2-22-2-222-2-22200002-2-2-222-2-22000000002-2-22-22-22-222-2-222-2-222-200002-2000000002-2-220000000000000000-222-20000000000000000
χ632-2-22-2-22222-2-222-2-22-2-222-2-2220000-22-2-222-2-2200000000-222-22-22-2-222-22-2-222-2-220000-2200000000-222-20000000000000000-222-20000000000000000
χ642-2-22-2-22222-2-222-2-22-2-222-2-2220000-22-2-222-2-2200000000-222-2-22-222-2-22-222-2-222-20000-2200000000-222-200000000000000002-2-220000000000000000
χ652-2-22-2-222-1211-1-1-2-22-2-22211-1-100002-211-1-111-13−3−33−333−3-111-12-22-22-2-22-111-1-111-100002-23−3−33−333−3-111-1000000003−3−33−333−3-111-10000000000000000
χ662-2-22-2-222-1211-1-1-2-22-2-22211-1-100002-211-1-111-13−3−33−333−3-111-1-22-22-222-21-1-111-1-1100002-23−3−33−333−3-111-100000000−333−33−3−331-1-110000000000000000
χ672-2-22-2-222-1211-1-1-2-22-2-22211-1-100002-211-1-111-1−333−33−3−33-111-12-22-22-2-22-111-1-111-100002-2−333−33−3−33-111-100000000−333−33−3−33-111-10000000000000000
χ682-2-22-2-222-1211-1-1-2-22-2-22211-1-100002-211-1-111-1−333−33−3−33-111-1-22-22-222-21-1-111-1-1100002-2−333−33−3−33-111-1000000003−3−33−333−31-1-110000000000000000
χ692-2-22-2-222-1211-1-1-2-22-2-22211-1-10000-2211-1-111-13−3−333−3−331-1-112-22-2-222-2-111-1-111-10000-223−3−333−3−331-1-11000000003−3−333−3−331-1-110000000000000000
χ702-2-22-2-222-1211-1-1-2-22-2-22211-1-10000-2211-1-111-13−3−333−3−331-1-11-22-222-2-221-1-111-1-110000-223−3−333−3−331-1-1100000000−333−3−333−3-111-10000000000000000
χ712-2-22-2-222-1211-1-1-2-22-2-22211-1-10000-2211-1-111-1−333−3−333−31-1-112-22-2-222-2-111-1-111-10000-22−333−3−333−31-1-1100000000−333−3−333−31-1-110000000000000000
χ722-2-22-2-222-1211-1-1-2-22-2-22211-1-10000-2211-1-111-1−333−3−333−31-1-11-22-222-2-221-1-111-1-110000-22−333−3−333−31-1-11000000003−3−333−3−33-111-10000000000000000
χ732-2-2-222-2222-2-22-2-2-2222-2-222-22000000-2-22-222-20000000000002-2-2200002-2-22-222-20000000000000000002-2000000000000000000002-2000000002-200
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χ752-2-2-222-2222-2-22-2-2-2222-2-222-22000000-2-22-222-2000000000000-222-20000-222-22-2-220000000000000000002-2000000000000000000002-200000000-2200
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Here i is the imaginary unit (i² = −1).