Finite Group Databasebeta

← Group #11812848

Character table — Group #11812848

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666662234466666666666444426666666666666612121212121212124444444444121212121212121222224412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1111111-1-11
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1111111-1
χ17222222222-12222-1-1-122-1-1-1-1222-1222222-1-1-1-1-1-1-100002-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12200220022000000000000020000-1-1-1-1-1-1-1-100000
χ18222222222-12222-1-1-122-1-1-1-1222-1222222-1-1-1-1-1-1-100002-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-200-2-20000000000000-200001111111100000
χ19222222222-12222-1-1-122-1-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-2-211-1-1-1-1111111-2-211112200-2-200220000000000000-20000-1-11111-1-100000
χ20222222222-12222-1-1-122-1-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-2-211-1-1-1-1111111-2-21111-2-2002200-2-200000000000002000011-1-1-1-11100000
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χ23222222222-12222-1-1-122-1-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1000021122-1-11111-1-1-1-111-2-2111122002200-2-20000000000000-20000-1-111-1-11100000
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χ2522222222-12-1-1-1-1222-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
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χ2722222222-12-1-1-1-1222-1-12222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-2-1-1-1-11111-2-211111100-2-2002200-1-1-1-1-1-1-1-10000-2011110000000000000
χ2822222222-12-1-1-1-1222-1-12222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-2-1-1-1-11111-2-2111111002200-2-20011111111000020-1-1-1-10000000000000
χ2922222222-12-1-1-1-1222-1-12222-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-211-2-21111111122-1-1-1-1-1-1002200-2-200-1-1-1-111110000-20-1-1110000000000000
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χ964-4-44-4-444-2-2-222-2-2222222-2-2-24-4100-2-222-11-1-11-1100000-22000011-1-1-333-300003-3-3300000000000000000000000000000000000000000
χ974-4-44-4-444-2-2-222-2-2222222-2-2-2-4410022-2-2-11-1-11-11000002-20000-1-1113-3-3300003-3-3300000000000000000000000000000000000000000
χ984-4-44-4-444-2-2-222-2-2222222-2-2-2-4410022-2-2-11-1-11-11000002-20000-1-111-333-30000-333-300000000000000000000000000000000000000000
χ994-4-4-444-444-2-4-4-4-422-244-222-2400-24-40000-22222-2-20000000000000000000-224-4-2-22200000000000000000000000000000000000000000
χ1004-4-4-444-444-2-4-4-4-422-244-222-2400-2-440000-22222-2-200000000000000000002-2-4422-2-200000000000000000000000000000000000000000
χ1014-4-4-444-44-2-2222222-2-2-2-222-2-20014-4−2i32i3−2i32i31-1-1-1-1110000000−2i32i300i3−i3i3−i3i3i3−i3−i3-22-2211-1-100000000000000000000000000000000000000000
χ1024-4-4-444-44-2-2222222-2-2-2-222-2-20014-42i3−2i32i3−2i31-1-1-1-11100000002i3−2i300−i3i3−i3i3−i3−i3i3i3-22-2211-1-100000000000000000000000000000000000000000
χ1034-4-4-444-44-2-2222222-2-2-2-222-2-2001-44−2i32i3−2i32i31-1-1-1-11100000002i3−2i300i3−i3i3−i3−i3−i3i3i32-22-2-1-11100000000000000000000000000000000000000000
χ1044-4-4-444-44-2-2222222-2-2-2-222-2-2001-442i3−2i32i3−2i31-1-1-1-1110000000−2i32i300−i3i3−i3i3i3i3−i3−i32-22-2-1-11100000000000000000000000000000000000000000
χ10588-888-8-8-8-4-44-44-44-4-44-444-444002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-4-444-4-44-44-44444002000000222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-444-4-4444-44-4-4-4440020000002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-88-8-4-4-44-44-44-44-44-4444002000000-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000

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