Finite Group Databasebeta

← Group #11824572

Character table — Group #11824572

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order1222222233666666666666663444466666661212121212121212222244442666666661212121212121212121212124444444466661212121212121212121212124412121212121212122244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1
χ6111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-1-1-1-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1
χ101111111111111111111111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-11-1-1-1-1-1-11111-1-1-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1111111-1-1-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1111
χ17222222222-122-1-1-122-122-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122220000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122000022-1-1-1-10000-1-1-1-1000020-1-1-1-100000000000
χ18222222222-122-1-1-122-122-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-21111000011110000-20111100000000000
χ19222222222-122-1-1-122-122-1-1-12-122-2-2-1-1-1-1-1-1-12222111122220000-2-2-2111111-1-1-2-2-1-1-1-11111-2-2000022-1-1-1-1000011110000-20-1-11100000000000
χ20222222222-122-1-1-122-122-1-1-12-122-2-2-1-1-1-1-1-1-122221111-2-2-2-20000-2-2-2111111-1-1-2-2-1-1-1-11111220000-2-211110000-1-1-1-100002011-1-100000000000
χ21222222222-122-1-1-122-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122220000-2-2-211111111221111-1-1-1-1220000-2-2-1-1-1-10000-1-1-1-10000-20111100000000000
χ22222222222-122-1-1-122-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-20000-2-2-211111111221111-1-1-1-1-2-2000022111100001111000020-1-1-1-100000000000
χ23222222222-122-1-1-122-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000222-1-1-1-1-1-111-2-211111111-2-20000-2-2-1-1-1-10000111100002011-1-100000000000
χ24222222222-122-1-1-122-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000222-1-1-1-1-1-111-2-2111111112200002211110000-1-1-1-10000-20-1-11100000000000
χ2522222222-12-1-1222-1-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-12222000022222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-10000-1-1-1-1020000-1-1-1-10000000
χ2622222222-12-1-1222-1-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-22-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-2-2-20000001111000011110-2000011110000000
χ2722222222-12-1-1222-1-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-211-2-211112211-1-1-1-111110022-2-2000000-1-1-1-10000-1-1-1-10-2000011110000000
χ2822222222-12-1-1222-1-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-211-2-211112211-1-1-1-1111100-2-222000000111100001111020000-1-1-1-10000000
χ2922222222-12-1-1222-1-12-1-1222-1-1-2-222-1-1-1-1-1-1-11111222200002222-211-2-21111-2-2-1-11111-1-1-1-100-2-222000000-1-1-1-1000011110-20000-1-1110000000
χ3022222222-12-1-1222-1-12-1-1222-1-1-2-222-1-1-1-1-1-1-1111122220000-2-2-2-2-211-2-21111-2-2-1-11111-1-1-1-10022-2-200000011110000-1-1-1-102000011-1-10000000
χ3122222222-12-1-1222-1-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2000022222-1-122-1-1-1-1-2-2111111111100-2-2-2-2000000-1-1-1-10000111102000011-1-10000000
χ3222222222-12-1-1222-1-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-22-1-122-1-1-1-1-2-2111111111100222200000011110000-1-1-1-10-20000-1-1110000000
χ33222-2-22-2-2222222-2-2-2-2-2-22-2-2222i−2i00222-2-2-2-22i2i−2i−2i000022-2-200000000000002i−2i002i2i−2i−2i00000000002i−2i22-2-2000000000000002i−2i0000000000000
χ34222-2-22-2-2222222-2-2-2-2-2-22-2-2222i−2i00222-2-2-2-22i2i−2i−2i0000-2-22200000000000002i−2i002i2i−2i−2i0000000000−2i2i-2-22200000000000000−2i2i0000000000000
χ35222-2-22-2-2222222-2-2-2-2-2-22-2-222−2i2i00222-2-2-2-2−2i−2i2i2i000022-2-20000000000000−2i2i00−2i−2i2i2i0000000000−2i2i22-2-200000000000000−2i2i0000000000000
χ36222-2-22-2-2222222-2-2-2-2-2-22-2-222−2i2i00222-2-2-2-2−2i−2i2i2i0000-2-2220000000000000−2i2i00−2i−2i2i2i00000000002i−2i-2-222000000000000002i−2i0000000000000
χ37222-2-22-2-22-122-1-11-2-21-2-2-1112-12i−2i00-1-1-111112i2i−2i−2i33−3−322-2-20000000−i3i3−i3−i3i3i3−ii00−i−iii33−3−30000002i−2i-1-111000033−3−3000000−ii−i3i300000000000
χ38222-2-22-2-22-122-1-11-2-21-2-2-1112-12i−2i00-1-1-111112i2i−2i−2i33−3−3-2-2220000000−i3i3−i3−i3i3i3−ii00−i−iii33−3−3000000−2i2i11-1-10000−3−333000000i−ii3−i300000000000
χ39222-2-22-2-22-122-1-11-2-21-2-2-1112-12i−2i00-1-1-111112i2i−2i−2i−3−33322-2-20000000i3−i3i3i3−i3−i3−ii00−i−iii−3−3330000002i−2i-1-1110000−3−333000000−iii3−i300000000000
χ40222-2-22-2-22-122-1-11-2-21-2-2-1112-12i−2i00-1-1-111112i2i−2i−2i−3−333-2-2220000000i3−i3i3i3−i3−i3−ii00−i−iii−3−333000000−2i2i11-1-1000033−3−3000000i−i−i3i300000000000
χ41222-2-22-2-22-122-1-11-2-21-2-2-1112-1−2i2i00-1-1-11111−2i−2i2i2i33−3−322-2-20000000i3−i3i3i3−i3−i3i−i00ii−i−i33−3−3000000−2i2i-1-111000033−3−3000000i−ii3−i300000000000
χ42222-2-22-2-22-122-1-11-2-21-2-2-1112-1−2i2i00-1-1-11111−2i−2i2i2i33−3−3-2-2220000000i3−i3i3i3−i3−i3i−i00ii−i−i33−3−30000002i−2i11-1-10000−3−333000000−ii−i3i300000000000
χ43222-2-22-2-22-122-1-11-2-21-2-2-1112-1−2i2i00-1-1-11111−2i−2i2i2i−3−33322-2-20000000−i3i3−i3−i3i3i3i−i00ii−i−i−3−333000000−2i2i-1-1110000−3−333000000i−i−i3i300000000000
χ44222-2-22-2-22-122-1-11-2-21-2-2-1112-1−2i2i00-1-1-11111−2i−2i2i2i−3−333-2-2220000000−i3i3−i3−i3i3i3i−i00ii−i−i−3−3330000002i−2i11-1-1000033−3−3000000−iii3−i300000000000
χ4522-222-2-2-2222-22-2-2222-2-2-2-22-22002-22-2-2-2-22200002-22-200002i2i−2i−2i000000000002-200002-22-200002i−2i0000002i2i−2i−2i000000000000002i−2i000000000
χ4622-222-2-2-2222-22-2-2222-2-2-2-22-22002-22-2-2-2-22200002-22-20000−2i−2i2i2i000000000002-200002-22-20000−2i2i000000−2i−2i2i2i00000000000000−2i2i000000000
χ4722-222-2-2-2222-22-2-2222-2-2-2-22-2200-222-2-2-2-2220000-22-2200002i2i−2i−2i00000000000-220000-22-220000−2i2i0000002i2i−2i−2i00000000000000−2i2i000000000
χ4822-222-2-2-2222-22-2-2222-2-2-2-22-2200-222-2-2-2-2220000-22-220000−2i−2i2i2i00000000000-220000-22-2200002i−2i000000−2i−2i2i2i000000000000002i−2i000000000
χ4922-222-2-2-2-12-112-2-2-1-1211-2-221-1002-2-11111-1-1−i3i3−i3i32-22-200002i2i−2i−2i0−i3i300−i3i3−i3i300-11−i3i3−i3i3-11-1100002i−2i000000−i−iii000033−3−3000000−ii3−30000000
χ5022-222-2-2-2-12-112-2-2-1-1211-2-221-1002-2-11111-1-1−i3i3−i3i32-22-20000−2i−2i2i2i0−i3i300−i3i3−i3i300-11−i3i3−i3i3-11-110000−2i2i000000ii−i−i0000−3−333000000i−i−330000000
χ5122-222-2-2-2-12-112-2-2-1-1211-2-221-1002-2-11111-1-1i3−i3i3−i32-22-200002i2i−2i−2i0i3−i300i3−i3i3−i300-11i3−i3i3−i3-11-1100002i−2i000000−i−iii0000−3−333000000−ii−330000000
χ5222-222-2-2-2-12-112-2-2-1-1211-2-221-1002-2-11111-1-1i3−i3i3−i32-22-20000−2i−2i2i2i0i3−i300i3−i3i3−i300-11i3−i3i3−i3-11-110000−2i2i000000ii−i−i000033−3−3000000i−i3−30000000
χ5322-222-2-2-2-12-112-2-2-1-1211-2-221-100-22-11111-1-1−i3i3−i3i3-22-2200002i2i−2i−2i0i3−i300i3−i3i3−i3001-1−i3i3−i3i31-11-10000−2i2i000000−i−iii000033−3−3000000i−i−330000000
χ5422-222-2-2-2-12-112-2-2-1-1211-2-221-100-22-11111-1-1−i3i3−i3i3-22-220000−2i−2i2i2i0i3−i300i3−i3i3−i3001-1−i3i3−i3i31-11-100002i−2i000000ii−i−i0000−3−333000000−ii3−30000000
χ5522-222-2-2-2-12-112-2-2-1-1211-2-221-100-22-11111-1-1i3−i3i3−i3-22-2200002i2i−2i−2i0−i3i300−i3i3−i3i3001-1i3−i3i3−i31-11-10000−2i2i000000−i−iii0000−3−333000000i−i3−30000000
χ5622-222-2-2-2-12-112-2-2-1-1211-2-221-100-22-11111-1-1i3−i3i3−i3-22-220000−2i−2i2i2i0−i3i300−i3i3−i3i3001-1i3−i3i3−i31-11-100002i−2i000000ii−i−i000033−3−3000000−ii−330000000
χ572-222-2-22-222-22-2222-222-2-2-2-2-220000-22-22-22-20000000000002i−2i2i−2i0000000000000000000002i−2i00000000002i−2i2i−2i2i−2i2i−2i00000000000000002-2000
χ582-222-2-22-222-22-2222-222-2-2-2-2-220000-22-22-22-20000000000002i−2i2i−2i000000000000000000000−2i2i00000000002i−2i2i−2i−2i2i−2i2i0000000000000000-22000
χ592-222-2-22-222-22-2222-222-2-2-2-2-220000-22-22-22-2000000000000−2i2i−2i2i0000000000000000000002i−2i0000000000−2i2i−2i2i2i−2i2i−2i0000000000000000-22000
χ602-222-2-22-222-22-2222-222-2-2-2-2-220000-22-22-22-2000000000000−2i2i−2i2i000000000000000000000−2i2i0000000000−2i2i−2i2i−2i2i−2i2i00000000000000002-2000
χ612-2-22-22-2222-2-2-2-2-22-22-2222-2220000-2-22-222-2000000002-22-22-2-22000000000000000000000000000002-22-22-2-2200000000000000000000002-20
χ622-2-22-22-2222-2-2-2-2-22-22-2222-2220000-2-22-222-2000000002-22-2-222-2000000000000000000000000000002-22-2-222-20000000000000000000000-220
χ632-2-22-22-2222-2-2-2-2-22-22-2222-2220000-2-22-222-200000000-22-222-2-2200000000000000000000000000000-22-222-2-220000000000000000000000-220
χ642-2-22-22-2222-2-2-2-2-22-22-2222-2220000-2-22-222-200000000-22-22-222-200000000000000000000000000000-22-22-222-200000000000000000000002-20
χ652-2-2-2222-222-2-2-2-22-22-22-22-22220000-2-222-2-22000000002-2-220000000000000000000000000002-200002-2-22000000002-22-200000000002-200000
χ662-2-2-2222-222-2-2-2-22-22-22-22-22220000-2-222-2-22000000002-2-22000000000000000000000000000-2200002-2-2200000000-22-220000000000-2200000
χ672-2-2-2222-222-2-2-2-22-22-22-22-22220000-2-222-2-2200000000-222-20000000000000000000000000002-20000-222-2000000002-22-20000000000-2200000
χ682-2-2-2222-222-2-2-2-22-22-22-22-22220000-2-222-2-2200000000-222-2000000000000000000000000000-220000-222-200000000-22-2200000000002-200000
χ6944444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-2000000004-2-2-2-21111-2-2-2-21111111100000000000000000000000000000000000000000
χ7044444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-2222200000000-42222-1-1-1-1-2-2221111-1-1-1-100000000000000000000000000000000000000000
χ7144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-44411111112222-2-2-2-200000000-42222-1-1-1-122-2-2-1-1-1-1111100000000000000000000000000000000000000000
χ7244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4111111122222222000000004-2-2-2-211112222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ73444-4-44-4-4-24-2-244-422-4224-4-4-2-24i−4i00-2-2-22222−2i−2i2i2i0000000000000000000004i−4i00−2i−2i2i2i000000000000000000000000000000000000000000000
χ74444-4-44-4-4-24-2-244-422-4224-4-4-2-2−4i4i00-2-2-222222i2i−2i−2i000000000000000000000−4i4i002i2i−2i−2i000000000000000000000000000000000000000000000
χ75444-4-44-4-4-2-2-2-2-2-2222222-222-214i−4i00111-1-1-1-1−2i−2i2i2i2323−23−2300000000000−2i32i3i3i3−i3−i3−2i2i00ii−i−i−3−33300000000000000000000000000000000000000000
χ76444-4-44-4-4-2-2-2-2-2-2222222-222-214i−4i00111-1-1-1-1−2i−2i2i2i−23−232323000000000002i3−2i3−i3−i3i3i3−2i2i00ii−i−i33−3−300000000000000000000000000000000000000000
χ77444-4-44-4-4-2-2-2-2-2-2222222-222-21−4i4i00111-1-1-1-12i2i−2i−2i2323−23−23000000000002i3−2i3−i3−i3i3i32i−2i00−i−iii−3−33300000000000000000000000000000000000000000
χ78444-4-44-4-4-2-2-2-2-2-2222222-222-21−4i4i00111-1-1-1-12i2i−2i−2i−23−23232300000000000−2i32i3i3i3−i3−i32i−2i00−i−iii33−3−300000000000000000000000000000000000000000
χ7944-444-4-4-44-24-4-22244-2-4-422-2-4-2004-4-22222-2-20000-22-2200000000000000000004-40000-22-2200000000000000000000000000000000000000000
χ8044-444-4-4-44-24-4-22244-2-4-422-2-4-200-44-22222-2-200002-22-20000000000000000000-4400002-22-200000000000000000000000000000000000000000
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χ944-444-4-44-44-2-442-2-24-4-24-4222-4-200002-22-22-2200000000000000000000000000000000000004i−4i00000000000000−2i2i−2i2i000000000000000000000
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χ974-444-4-44-4-242-2-444-224-22-4-4-42-200002-22-22-22000000000000−4i4i−4i4i0000000000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ984-44-44-4-4444-44-44-4-44-4-44-444-440000-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-44-4-444-2-442-22-442-442-2-2-4-200002-222-22-200000000000000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000
χ1004-44-44-4-444-2-442-22-442-442-2-2-4-200002-222-22-2000000000000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000
χ1014-44-44-4-44-242-2-44-42-2-42-2-4442-200002-222-22-200000000000000000000000000000000000000000000000000000000023−23−232300000000000000000
χ1024-44-44-4-44-242-2-44-42-2-42-2-4442-200002-222-22-2000000000000000000000000000000000000000000000000000000000−232323−2300000000000000000
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χ1044-4-44-44-444-2-4-42224-4-2-44-2-224-2000022-22-2-2200000000-44-440000000000000000000000000000000002-22-200000000000000000000000000000
χ1054-4-44-44-44-2422-4-4-4-2242-244-4-2-2000022-22-2-220000000000004-4-44000000000000000000000000000000000-222-20000000000000000000000000
χ1064-4-44-44-44-2422-4-4-4-2242-244-4-2-2000022-22-2-22000000000000-444-40000000000000000000000000000000002-2-220000000000000000000000000
χ1074-4-4-4444-44-2-4-422-2-4424-4-22-24-2000022-2-222-2000000004-4-44000000000000000000000000000000000-222-200000000000000000000000000000
χ1084-4-4-4444-44-2-4-422-2-4424-4-22-24-2000022-2-222-200000000-444-40000000000000000000000000000000002-2-2200000000000000000000000000000
χ1094-4-4-4444-4-2422-4-442-2-4-224-44-2-2000022-2-222-20000000000000000000000000000000000000004-40000000000000000-22-2200000000000000000
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χ1118-888-8-88-8-4-44-44-4-4-44-4-44444420000-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-88-8-88-4-44-44-444-444-44-4-4420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-88-88-4-444444-44-44-4-4-44-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-8888-8-4-44444-44-44-44-44-4-420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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