Finite Group Databasebeta

← Group #11808998

Character table — Group #11808998

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order1222222233666666666666662222366666666666666622222222466666666666612121212121212122222444466666666666666664412121212121212122244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-1-1-1-1
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
χ511111111111111111111111111-1-111111-1-1-1-1111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ611111111111111111111111111-1-111111-1-1-1-111111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1-1111
χ711111111111111111111111111-1-111111-1-1-1-11111111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111
χ811111111111111111111111111-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1
χ9111111111111111111111111-1-1111-1-1-1-11111111111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1
χ10111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-11
χ11111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-1-1-1-1-111-1-11
χ12111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-111-1
χ13111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11
χ14111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1
χ15111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-11111-1
χ16111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11
χ17222222222-12222-1-1-1-12-122-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1000022222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-1020000-1-1-1-10000000
χ18222222222-12222-1-1-1-12-122-1-12222-12222-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-22-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-200000000111111110-2000011110000000
χ19222222222-12222-1-1-1-12-122-1-122-2-2-122221111-1-1-1-1-1-1-100002222-2-1-1-2-2-1-1-1-11111-2-211111100-2-2002200000000-1-1-1-111110-20000-1-1110000000
χ20222222222-12222-1-1-1-12-122-1-122-2-2-122221111-1-1-1-1-1-1-10000-2-2-2-2-2-1-1-2-2-1-1-1-11111-2-2111111002200-2-2000000001111-1-1-1-102000011-1-10000000
χ21222222222-12222-1-1-1-12-122-1-1-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-100002222-211221111-1-1-1-1-2-2111111002200-2-200000000-1-1-1-1-1-1-1-10-2000011110000000
χ22222222222-12222-1-1-1-12-122-1-1-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-211221111-1-1-1-1-2-211111100-2-200220000000011111111020000-1-1-1-10000000
χ23222222222-12222-1-1-1-12-122-1-1-2-2-2-2-1-2-2-2-21111-1-1-1-1-1-1-100002222211-2-21111111122-1-1-1-1-1-100-2-200-2-200000000-1-1-1-1111102000011-1-10000000
χ24222222222-12222-1-1-1-12-122-1-1-2-2-2-2-1-2-2-2-21111-1-1-1-1-1-1-10000-2-2-2-2211-2-21111111122-1-1-1-1-1-100220022000000001111-1-1-1-10-20000-1-1110000000
χ2522222222-12-1-1-1-12222-12-1-1222222-1-1-1-1-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122002200-1-1-1-1-1-1-1-10000000020-1-1-1-100000000000
χ2622222222-12-1-1-1-12222-12-1-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-2001111111100000000-20111100000000000
χ2722222222-12-1-1-1-12222-12-1-12222-2-2-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122220000-22211-1-1-1-1111111-2-211112200-2-200-1-1-1-1-1-1-1-100000000-20111100000000000
χ2822222222-12-1-1-1-12222-12-1-12222-2-2-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000-22211-1-1-1-1111111-2-21111-2-2002200111111110000000020-1-1-1-100000000000
χ2922222222-12-1-1-1-12222-12-1-122-2-222-111112222-1-1-1-1-1-1-122220000-2-2-2-1-11111-1-1-1-111-2-21111-2-2002200-1-1-1-1111100000000-20-1-11100000000000
χ3022222222-12-1-1-1-12222-12-1-122-2-222-111112222-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-1-11111-1-1-1-111-2-211112200-2-2001111-1-1-1-1000000002011-1-100000000000
χ3122222222-12-1-1-1-12222-12-1-122-2-2-2-2-11111-2-2-2-2-1-1-1-1-1-1-1222200002-2-21111111111-1-122-1-1-1-1-2-200-2-200-1-1-1-11111000000002011-1-100000000000
χ3222222222-12-1-1-1-12222-12-1-122-2-2-2-2-11111-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21111111111-1-122-1-1-1-1220022001111-1-1-1-100000000-20-1-11100000000000
χ3322-2-2-2-2222222-2-222-2-2-2-22-22-20000200000000222-2-2-2-222-2-222-2-20000000000000000000000000000022-2-2000022-2-2000000000000002-200000
χ3422-2-2-2-2222222-2-222-2-2-2-22-22-20000200000000222-2-2-2-222-2-2-2-2220000000000000000000000000000022-2-20000-2-22200000000000000-2200000
χ3522-2-2-2-2222222-2-222-2-2-2-22-22-20000200000000222-2-2-2-2-2-22222-2-200000000000000000000000000000-2-222000022-2-200000000000000-2200000
χ3622-2-2-2-2222222-2-222-2-2-2-22-22-20000200000000222-2-2-2-2-2-222-2-22200000000000000000000000000000-2-2220000-2-222000000000000002-200000
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χ382-222-2-22-2222-22-2-2-2-2-222-2-2222-200222-2-200002-2-22-2-220000-22-2202-20022-2-2000000000000000000-2200000000-22-220000000000-22000000000
χ392-222-2-22-2222-22-2-2-2-2-222-2-222-22002-2-22200002-2-22-2-2200002-22-20-2200-2-222000000000000000000-22000000002-22-20000000000-22000000000
χ402-222-2-22-2222-22-2-2-2-2-222-2-222-22002-2-22200002-2-22-2-220000-22-220-2200-2-2220000000000000000002-200000000-22-2200000000002-2000000000
χ412-222-2-22-22-12-22-211112-1-2-2-1-12-200-122-2-2i3i3−i3−i3-111-111-100002-22-20-1100-1-111i3i3−i3−i300i3−i3i3i3−i3−i30000002-200000000-11-11i3i3−i3−i3000000-11i3−i30000000
χ422-222-2-22-22-12-22-211112-1-2-2-1-12-200-122-2-2i3i3−i3−i3-111-111-10000-22-220-1100-1-111i3i3−i3−i300i3−i3i3i3−i3−i3000000-22000000001-11-1−i3−i3i3i30000001-1−i3i30000000
χ432-222-2-22-22-12-22-211112-1-2-2-1-12-200-122-2-2−i3−i3i3i3-111-111-100002-22-20-1100-1-111−i3−i3i3i300−i3i3−i3−i3i3i30000002-200000000-11-11−i3−i3i3i3000000-11−i3i30000000
χ442-222-2-22-22-12-22-211112-1-2-2-1-12-200-122-2-2−i3−i3i3i3-111-111-10000-22-220-1100-1-111−i3−i3i3i300−i3i3−i3−i3i3i3000000-22000000001-11-1i3i3−i3−i30000001-1i3−i30000000
χ452-222-2-22-22-12-22-211112-1-2-2-1-1-2200-1-2-222i3i3−i3−i3-111-111-100002-22-201-10011-1-1i3i3−i3−i300−i3i3−i3−i3i3i3000000-2200000000-11-11i3i3−i3−i30000001-1−i3i30000000
χ462-222-2-22-22-12-22-211112-1-2-2-1-1-2200-1-2-222i3i3−i3−i3-111-111-10000-22-2201-10011-1-1i3i3−i3−i300−i3i3−i3−i3i3i30000002-2000000001-11-1−i3−i3i3i3000000-11i3−i30000000
χ472-222-2-22-22-12-22-211112-1-2-2-1-1-2200-1-2-222−i3−i3i3i3-111-111-100002-22-201-10011-1-1−i3−i3i3i300i3−i3i3i3−i3−i3000000-2200000000-11-11−i3−i3i3i30000001-1i3−i30000000
χ482-222-2-22-22-12-22-211112-1-2-2-1-1-2200-1-2-222−i3−i3i3i3-111-111-10000-22-2201-10011-1-1−i3−i3i3i300i3−i3i3i3−i3−i30000002-2000000001-11-1i3i3−i3−i3000000-11−i3i30000000
χ492-22-22-2-2222-2-2-2-22-22-22222-2-2002-2200002-22-2-22-2-22-222-22-200000002-200002-22-20000000000002-2002-22-2000000000000002-20000000000000
χ502-22-22-2-2222-2-2-2-22-22-22222-2-2002-2200002-22-2-22-2-22-22-22-2200000002-200002-22-2000000000000-2200-22-2200000000000000-220000000000000
χ512-22-22-2-2222-2-2-2-22-22-22222-2-200-2220000-22-22-22-2-22-222-22-20000000-220000-22-22000000000000-22002-22-200000000000000-220000000000000
χ522-22-22-2-2222-2-2-2-22-22-22222-2-200-2220000-22-22-22-2-22-22-22-220000000-220000-22-220000000000002-200-22-22000000000000002-20000000000000
χ532-22-22-2-22-1211112-22-2-12-1-1-2-2002-2-1i3−i3i3−i32-22-21-111-11-12-22-20000000-11i3−i3i3−i3-11-11i3−i300i3−i3i3−i300002-200-11-11i3i3−i3−i30000000000-11i3−i300000000000
χ542-22-22-2-22-1211112-22-2-12-1-1-2-2002-2-1i3−i3i3−i32-22-21-111-11-1-22-220000000-11i3−i3i3−i3-11-11i3−i300i3−i3i3−i30000-22001-11-1−i3−i3i3i300000000001-1−i3i300000000000
χ552-22-22-2-22-1211112-22-2-12-1-1-2-2002-2-1−i3i3−i3i32-22-21-111-11-12-22-20000000-11−i3i3−i3i3-11-11−i3i300−i3i3−i3i300002-200-11-11−i3−i3i3i30000000000-11−i3i300000000000
χ562-22-22-2-22-1211112-22-2-12-1-1-2-2002-2-1−i3i3−i3i32-22-21-111-11-1-22-220000000-11−i3i3−i3i3-11-11−i3i300−i3i3−i3i30000-22001-11-1i3i3−i3−i300000000001-1i3−i300000000000
χ572-22-22-2-22-1211112-22-2-12-1-1-2-200-22-1i3−i3i3−i3-22-221-111-11-12-22-200000001-1i3−i3i3−i31-11-1−i3i300−i3i3−i3i30000-2200-11-11i3i3−i3−i300000000001-1−i3i300000000000
χ582-22-22-2-22-1211112-22-2-12-1-1-2-200-22-1i3−i3i3−i3-22-221-111-11-1-22-2200000001-1i3−i3i3−i31-11-1−i3i300−i3i3−i3i300002-2001-11-1−i3−i3i3i30000000000-11i3−i300000000000
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χ602-22-22-2-22-1211112-22-2-12-1-1-2-200-22-1−i3i3−i3i3-22-221-111-11-1-22-2200000001-1−i3i3−i3i31-11-1i3−i300i3−i3i3−i300002-2001-11-1i3i3−i3−i30000000000-11−i3i300000000000
χ612-2-22-22-2222-2-2222-2-22-2-22-2-220000200000000-22-22-22-22-2-220000000000000000000000000002-200002-2-22000000002-22-2000000000000002-20
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χ8544-444-4-4-4-242-2-22-444-42-42-2-440000-20000000022-2-2-222000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ8644-444-4-4-4-242-2-22-444-42-42-2-440000-20000000022-2-2-22200000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ8744-4-4-4-4444-244-4-4-2-222-424-4-220000-200000000-2-2-22222000044-4-40000000000000000000000000000000000000-2-222000000000000000000000
χ8844-4-4-4-4444-244-4-4-2-222-424-4-220000-200000000-2-2-222220000-4-444000000000000000000000000000000000000022-2-2000000000000000000000
χ8944-4-4-4-444-24-2-22244-4-42-4-224-40000-200000000-2-2-2222244-4-4000000000000000000000000000000000-2-22200000000000000000000000000000
χ9044-4-4-4-444-24-2-22244-4-42-4-224-40000-200000000-2-2-22222-4-44400000000000000000000000000000000022-2-200000000000000000000000000000
χ914-444-4-44-4-24-22-22-4-4-4-4-2422444-400-2-2-2220000-222-222-20000000004-400-2-22200000000000000000000000000000000000000000000000000000
χ924-444-4-44-4-24-22-22-4-4-4-4-242244-4400-222-2-20000-222-222-2000000000-440022-2-200000000000000000000000000000000000000000000000000000
χ934-444-4-44-4-2-2-22-222222-2-222-2-24-4001-2-2222i32i3−2i3−2i31-1-11-1-11000000000-220011-1-1−i3−i3i3i3002i3−2i3−i3−i3i3i300000000000000000000000000000000000000000
χ944-444-4-44-4-2-2-22-222222-2-222-2-24-4001-2-222−2i3−2i32i32i31-1-11-1-11000000000-220011-1-1i3i3−i3−i300−2i32i3i3i3−i3−i300000000000000000000000000000000000000000
χ954-444-4-44-4-2-2-22-222222-2-222-2-2-4400122-2-22i32i3−2i3−2i31-1-11-1-110000000002-200-1-111−i3−i3i3i300−2i32i3i3i3−i3−i300000000000000000000000000000000000000000
χ964-444-4-44-4-2-2-22-222222-2-222-2-2-4400122-2-2−2i3−2i32i32i31-1-11-1-110000000002-200-1-111i3i3−i3−i3002i3−2i3−i3−i3i3i300000000000000000000000000000000000000000
χ974-44-44-4-444-2-4-4-4-4-22-224-24422004-4-20000-22-222-222-22-2000000000004-40000-22-220000000000000000000000000000000000000000000000000
χ984-44-44-4-444-2-4-4-4-4-22-224-2442200-44-200002-22-22-222-22-200000000000-4400002-22-20000000000000000000000000000000000000000000000000
χ994-44-44-4-44-2-22222-22-22-2-2-2-222004-412i3−2i32i3−2i3-22-22-11-1-11-1100000000000-22−i3i3−i3i31-11-12i3−2i300−i3i3−i3i300000000000000000000000000000000000000000
χ1004-44-44-4-44-2-22222-22-22-2-2-2-222004-41−2i32i3−2i32i3-22-22-11-1-11-1100000000000-22i3−i3i3−i31-11-1−2i32i300i3−i3i3−i300000000000000000000000000000000000000000
χ1014-44-44-4-44-2-22222-22-22-2-2-2-22200-4412i3−2i32i3−2i32-22-2-11-1-11-11000000000002-2−i3i3−i3i3-11-11−2i32i300i3−i3i3−i300000000000000000000000000000000000000000
χ1024-44-44-4-44-2-22222-22-22-2-2-2-22200-441−2i32i3−2i32i32-22-2-11-1-11-11000000000002-2i3−i3i3−i3-11-112i3−2i300−i3i3−i3i300000000000000000000000000000000000000000
χ1034-4-44-44-444-2-4-444-222-2-424-42-20000-2000000002-22-22-2200000000000000000000000000000004-40000000000000000-22-2200000000000000000
χ1044-4-44-44-444-2-4-444-222-2-424-42-20000-2000000002-22-22-220000000000000000000000000000000-4400000000000000002-22-200000000000000000
χ1054-4-44-44-44-2422-2-24-4-442-4-22-440000-2000000002-22-22-224-4-44000000000000000000000000000000000-222-200000000000000000000000000000
χ1064-4-44-44-44-2422-2-24-4-442-4-22-440000-2000000002-22-22-22-444-40000000000000000000000000000000002-2-2200000000000000000000000000000
χ1074-4-4-4444-44-24-4-4422-2-2-42-44-220000-200000000-2222-2-2200004-4-440000000000000000000000000000000000000-222-2000000000000000000000
χ1084-4-4-4444-44-24-4-4422-2-2-42-44-220000-200000000-2222-2-220000-444-400000000000000000000000000000000000002-2-22000000000000000000000
χ1094-4-4-4444-4-24-222-2-4-4442-42-24-40000-200000000-2222-2-22000000000000000000000000000004-40000000000-22-220000000000000000000000000
χ1104-4-4-4444-4-24-222-2-4-4442-42-24-40000-200000000-2222-2-2200000000000000000000000000000-4400000000002-22-20000000000000000000000000
χ11188-888-8-8-8-4-44-4-444-4-44444-44-40000200000000-2-2222-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-4-4-444-4-44444-44-440000200000000222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-88-88-4-444-4-4-444-444-444-40000200000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-8888-8-4-4-444-444-4-4444-4-4400002000000002-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000

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