Finite Group Databasebeta

← Group #11812912

Character table — Group #11812912

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666622344666666612121212222246666666612121212121212121212121212124444444444666612121212444424661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1111
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-11111-1
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111111111-1
χ17222222222-122-1-1-1-1-122222-1-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-1000020-1-1000000-1-10000000
χ18222222222-122-1-1-1-1-122222-1-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-200-2-200111111110000-2011000000110000000
χ19222222222-122-1-1-1-1-122222-1-122-1-2-2-1-1-1-1-1-1-111112222-222-1-1-1-1-1-1-2-2-2-21111111111002200-2-200-1-1-1-111110000-2011000000-1-10000000
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χ22222222222-122-1-1-1-1-122222-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2111111-2-22211-1-1-1-11111002200-2-20011111111000020-1-1000000-1-10000000
χ23222222222-122-1-1-1-1-122222-1-1-2-2-1-2-2-1-1-1-1-1-1-1111122222-2-211111122-2-2-1-11111-1-1-1-100-2-200-2-200-1-1-1-11111000020-1-1000000110000000
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χ2822222222-12-1-122222-1-1-1-1-12222-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-11111-2-211111111-2-2002200-2-2000000000000020011-1-1-1-1001100000
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χ974-4-44-444-44-2-44-222-2-2-44-44-42200-24i−4i-222-2-222−2i2i−2i2i0000000000000004i−4i00−2i2i−2i2i000000000000000000000000000000000000000000000
χ984-4-44-444-44-2-44-222-2-2-44-44-42200-2−4i4i-222-2-2222i−2i2i−2i000000000000000−4i4i002i−2i2i−2i000000000000000000000000000000000000000000000
χ994-4-44-444-4-242-24-4-4442-22-22-4-400-24i−4i-222-2-2224i−4i4i−4i000000000000000−2i2i00−2i2i−2i2i000000000000000000000000000000000000000000000
χ1004-4-44-444-4-242-24-4-4442-22-22-4-400-2−4i4i-222-2-222−4i4i−4i4i0000000000000002i−2i002i−2i2i−2i000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-22-2-222-2-22-22-22220014i−4i1-1-111-1-1−2i2i−2i2i0000000003-3-3300−2i2i00i−ii−i−3i3i3i−3i00000000000000000000000000000000000000000
χ1024-4-44-444-4-2-22-2-222-2-22-22-22220014i−4i1-1-111-1-1−2i2i−2i2i000000000-333-300−2i2i00i−ii−i3i−3i−3i3i00000000000000000000000000000000000000000
χ1034-4-44-444-4-2-22-2-222-2-22-22-2222001−4i4i1-1-111-1-12i−2i2i−2i0000000003-3-33002i−2i00−ii−ii3i−3i−3i3i00000000000000000000000000000000000000000
χ1044-4-44-444-4-2-22-2-222-2-22-22-2222001−4i4i1-1-111-1-12i−2i2i−2i000000000-333-3002i−2i00−ii−ii−3i3i3i−3i00000000000000000000000000000000000000000
χ10588-8-88-88-8-4-4-44-4-4444-4-4444-440020022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-4-44-44-444444-44-400200-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-888-8-8-4-44-444-4-44-44-444-4400200-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-8-888-4-444-44-4444-4-44-44-4002002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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