Finite Group Databasebeta

← Group #11812850

Character table — Group #11812850

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order12222222336666666666666634444446666666121212121212121212121212222244446666666612121212121212121212121212121212121244444444121212121212121212121212441212121212121212224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-11
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-111-1-111-1-1-1-1111-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-111-1-11111-1-1-11
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1111111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-111-11
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-111-11
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-11-11111-1-1-1-111-1-11-1
χ17222222222-1222-1-1-1-1-122-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-1-1-1-122-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111111111110000000000000000
χ19222222222-1222-1-1-1-1-122-122-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111112200-2-200-1-1-1-1111111110000000000000000
χ20222222222-1222-1-1-1-1-122-122-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111111122-2-2-2-2-1-1-1-111111111-2-20022001111-1-1-1-1-1-1-1-10000000000000000
χ21222222222-1222-1-1-1-1-122-122-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-200-2-2001111-1-1-1-111110000000000000000
χ22222222222-1222-1-1-1-1-122-122-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-222-2-21111-1-1-1-1111122002200-1-1-1-11111-1-1-1-10000000000000000
χ23222222222-1222-1-1-1-1-122-122-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-200220011111111-1-1-1-10000000000000000
χ24222222222-1222-1-1-1-1-122-122-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2222211111111-2-2-2-22211111111-1-1-1-12200-2-200-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-1-122222-1-12-1-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-1-122222-1-12-1-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-211111111000000
χ2722222222-12-1-1-122222-1-12-1-12-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-111111111002200-2-20000000000002-2-1-111-1-111000000
χ2822222222-12-1-1-122222-1-12-1-12-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-11111111100-2-20022000000000000-2211-1-111-1-1000000
χ2922222222-12-1-1-122222-1-12-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-1111100220022000000000000-2-211-1-1-1-111000000
χ3022222222-12-1-1-122222-1-12-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-1111100-2-200-2-200000000000022-1-11111-1-1000000
χ3122222222-12-1-1-122222-1-12-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-1002200-2-2000000000000-221111-1-1-1-1000000
χ3222222222-12-1-1-122222-1-12-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-100-2-200220000000000002-2-1-1-1-11111000000
χ3322-222-2-2-2222-2-222-2-2-22-22-22-22002i−2i0022-2-2-22-200002i2i−2i−2i000022-2-22i2i−2i−2i2222-2-2-2-2002i−2i0000002i2i−2i−2i00000000000000002i2i−2i−2i00000000000000000000
χ3422-222-2-2-2222-2-222-2-2-22-22-22-22002i−2i0022-2-2-22-200002i2i−2i−2i0000-2-222−2i−2i2i2i-2-2-2-22222002i−2i0000002i2i−2i−2i0000000000000000−2i−2i2i2i00000000000000000000
χ3522-222-2-2-2222-2-222-2-2-22-22-22-2200−2i2i0022-2-2-22-20000−2i−2i2i2i000022-2-2−2i−2i2i2i2222-2-2-2-200−2i2i000000−2i−2i2i2i0000000000000000−2i−2i2i2i00000000000000000000
χ3622-222-2-2-2222-2-222-2-2-22-22-22-2200−2i2i0022-2-2-22-20000−2i−2i2i2i0000-2-2222i2i−2i−2i-2-2-2-2222200−2i2i000000−2i−2i2i2i00000000000000002i2i−2i−2i00000000000000000000
χ3722-222-2-2-22-12-2-2-1-11112-2-1-221-1002i−2i00-1-1111-11−i3−i3i3i3−i−iii33−3−322-2-22i2i−2i−2i-1-1-1-11111002i−2i00−i3−i3i3i3−i−iii33−3−300000000−i3−i3i3i3−i−iii33−3−30000000000000000
χ3822-222-2-2-22-12-2-2-1-11112-2-1-221-1002i−2i00-1-1111-11−i3−i3i3i3−i−iii33−3−3-2-222−2i−2i2i2i1111-1-1-1-1002i−2i00−i3−i3i3i3−i−iii33−3−300000000i3i3−i3−i3ii−i−i−3−3330000000000000000
χ3922-222-2-2-22-12-2-2-1-11112-2-1-221-1002i−2i00-1-1111-11i3i3−i3−i3−i−iii−3−33322-2-22i2i−2i−2i-1-1-1-11111002i−2i00i3i3−i3−i3−i−iii−3−33300000000i3i3−i3−i3−i−iii−3−3330000000000000000
χ4022-222-2-2-22-12-2-2-1-11112-2-1-221-1002i−2i00-1-1111-11i3i3−i3−i3−i−iii−3−333-2-222−2i−2i2i2i1111-1-1-1-1002i−2i00i3i3−i3−i3−i−iii−3−33300000000−i3−i3i3i3ii−i−i33−3−30000000000000000
χ4122-222-2-2-22-12-2-2-1-11112-2-1-221-100−2i2i00-1-1111-11−i3−i3i3i3ii−i−i−3−33322-2-2−2i−2i2i2i-1-1-1-1111100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000−i3−i3i3i3ii−i−i−3−3330000000000000000
χ4222-222-2-2-22-12-2-2-1-11112-2-1-221-100−2i2i00-1-1111-11−i3−i3i3i3ii−i−i−3−333-2-2222i2i−2i−2i1111-1-1-1-100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000i3i3−i3−i3−i−iii33−3−30000000000000000
χ4322-222-2-2-22-12-2-2-1-11112-2-1-221-100−2i2i00-1-1111-11i3i3−i3−i3ii−i−i33−3−322-2-2−2i−2i2i2i-1-1-1-1111100−2i2i00i3i3−i3−i3ii−i−i33−3−300000000i3i3−i3−i3ii−i−i33−3−30000000000000000
χ4422-222-2-2-22-12-2-2-1-11112-2-1-221-100−2i2i00-1-1111-11i3i3−i3−i3ii−i−i33−3−3-2-2222i2i−2i−2i1111-1-1-1-100−2i2i00i3i3−i3−i3ii−i−i33−3−300000000−i3−i3i3i3−i−iii−3−3330000000000000000
χ452-222-2-2-2222-2-2-2-2-22-2-22222-22200002-2-2-22-2-222000000002-22-200002-22-20000000000002-2000000002-22-22-20000002-22-22-22-200000000000000000000
χ462-222-2-2-2222-2-2-2-2-22-2-22222-22200002-2-2-22-2-222000000002-22-20000-22-220000000000002-2000000002-22-2-22000000-22-22-22-2200000000000000000000
χ472-222-2-2-2222-2-2-2-2-22-2-22222-2220000-22-2-22-2-22200000000-22-2200002-22-2000000000000-2200000000-22-22-22000000-22-222-22-200000000000000000000
χ482-222-2-2-2222-2-2-2-2-22-2-22222-2220000-22-2-22-2-22200000000-22-220000-22-22000000000000-2200000000-22-222-20000002-22-2-22-2200000000000000000000
χ492-222-2-2-222-1-2-2-211-11122-12-2-1-100002-211-111-1-1−i3i3−i3i3−i3i3−i3i3-11-1100002-22-2−i3−i3i3i3−i3−i3i3i300002-2−i3i3−i3i3−i3i3−i3i3-11-112-2000000-11-11-11-11−i3i3−i3i30000000000000000
χ502-222-2-2-222-1-2-2-211-11122-12-2-1-100002-211-111-1-1−i3i3−i3i3−i3i3−i3i3-11-110000-22-22i3i3−i3−i3i3i3−i3−i300002-2−i3i3−i3i3−i3i3−i3i3-11-11-220000001-11-11-11-1i3−i3i3−i30000000000000000
χ512-222-2-2-222-1-2-2-211-11122-12-2-1-100002-211-111-1-1i3−i3i3−i3i3−i3i3−i3-11-1100002-22-2i3i3−i3−i3i3i3−i3−i300002-2i3−i3i3−i3i3−i3i3−i3-11-112-2000000-11-11-11-11i3−i3i3−i30000000000000000
χ522-222-2-2-222-1-2-2-211-11122-12-2-1-100002-211-111-1-1i3−i3i3−i3i3−i3i3−i3-11-110000-22-22−i3−i3i3i3−i3−i3i3i300002-2i3−i3i3−i3i3−i3i3−i3-11-11-220000001-11-11-11-1−i3i3−i3i30000000000000000
χ532-222-2-2-222-1-2-2-211-11122-12-2-1-10000-2211-111-1-1−i3i3−i3i3i3−i3i3−i31-11-100002-22-2i3i3−i3−i3i3i3−i3−i30000-22−i3i3−i3i3i3−i3i3−i31-11-1-220000001-11-1-11-11−i3i3−i3i30000000000000000
χ542-222-2-2-222-1-2-2-211-11122-12-2-1-10000-2211-111-1-1−i3i3−i3i3i3−i3i3−i31-11-10000-22-22−i3−i3i3i3−i3−i3i3i30000-22−i3i3−i3i3i3−i3i3−i31-11-12-2000000-11-111-11-1i3−i3i3−i30000000000000000
χ552-222-2-2-222-1-2-2-211-11122-12-2-1-10000-2211-111-1-1i3−i3i3−i3−i3i3−i3i31-11-100002-22-2−i3−i3i3i3−i3−i3i3i30000-22i3−i3i3−i3−i3i3−i3i31-11-1-220000001-11-1-11-11i3−i3i3−i30000000000000000
χ562-222-2-2-222-1-2-2-211-11122-12-2-1-10000-2211-111-1-1i3−i3i3−i3−i3i3−i3i31-11-10000-22-22i3i3−i3−i3i3i3−i3−i30000-22i3−i3i3−i3−i3i3−i3i31-11-12-2000000-11-111-11-1−i3i3−i3i30000000000000000
χ572-22-222-2-222-22-22-222-2-22-2-22-220000002-222-2-2-20000000000002-22-200002-22-22-22-20000000000000000000000002i−2i00000000000000002i−2i0000002i−2i00
χ582-22-222-2-222-22-22-222-2-22-2-22-220000002-222-2-2-20000000000002-22-200002-22-22-22-2000000000000000000000000−2i2i0000000000000000−2i2i000000−2i2i00
χ592-22-222-2-222-22-22-222-2-22-2-22-220000002-222-2-2-2000000000000-22-220000-22-22-22-220000000000000000000000002i−2i00000000000000002i−2i000000−2i2i00
χ602-22-222-2-222-22-22-222-2-22-2-22-220000002-222-2-2-2000000000000-22-220000-22-22-22-22000000000000000000000000−2i2i0000000000000000−2i2i0000002i−2i00
χ612-2-22-222-222-222-2-2-2222-22-2-2-222-20000-2-2-2222-22-2-220000000000002i−2i−2i2i000000002-200002-2-220000000000002i−2i0000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ622-2-22-222-222-222-2-2-2222-22-2-2-222-20000-2-2-2222-22-2-22000000000000−2i2i2i−2i000000002-200002-2-22000000000000−2i2i000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ632-2-22-222-222-222-2-2-2222-22-2-2-22-220000-2-2-2222-2-222-20000000000002i−2i−2i2i00000000-220000-222-2000000000000−2i2i0000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ642-2-22-222-222-222-2-2-2222-22-2-2-22-220000-2-2-2222-2-222-2000000000000−2i2i2i−2i00000000-220000-222-20000000000002i−2i000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ652-2-22-222-22-1-222111-1-12-2-1-2-21-12-20000111-1-1-11-111-13−3−333−3−3300002i−2i−2i2i−i3−i3i3i3i3i3−i3−i32-20000-111-13−3−333−3−3300002i−2i00−i3i3i3−i3−iii−i−iii−i0000000000000000
χ662-2-22-222-22-1-222111-1-12-2-1-2-21-12-20000111-1-1-11-111-13−3−333−3−330000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i32-20000-111-13−3−333−3−330000−2i2i00i3−i3−i3i3i−i−iii−i−ii0000000000000000
χ672-2-22-222-22-1-222111-1-12-2-1-2-21-12-20000111-1-1-11-111-1−333−3−333−300002i−2i−2i2ii3i3−i3−i3−i3−i3i3i32-20000-111-1−333−3−333−300002i−2i00i3−i3−i3i3−iii−i−iii−i0000000000000000
χ682-2-22-222-22-1-222111-1-12-2-1-2-21-12-20000111-1-1-11-111-1−333−3−333−30000−2i2i2i−2i−i3−i3i3i3i3i3−i3−i32-20000-111-1−333−3−333−30000−2i2i00−i3i3i3−i3i−i−iii−i−ii0000000000000000
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Here i is the imaginary unit (i² = −1).