Finite Group Databasebeta

← Group #11788185

Character table — Group #11788185

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order1222224444336666666666121212121212121244444444444444446612121212444412121212121212121212121212121212222244244461212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-111-1-11-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1-111-111-1-1
χ91111-1-111-1-11111-1-11111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-111-1-1i−ii−i
χ101111-1-111-1-11111-1-11111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111−ii−ii
χ111111-1-111-1-11111-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-111-1-1−ii−ii
χ121111-1-111-1-11111-1-11111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111i−ii−i
χ131111-1-1-1-1111111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111111-11-11-11-1i−i−ii
χ141111-1-1-1-1111111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-11-11-11-11−iii−i
χ151111-1-1-1-1111111-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111111-11-11-11-1−iii−i
χ161111-1-1-1-1111111-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-11-11-11-11i−i−ii
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χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-200000000000000002222-2-2000000000000
χ192222-2-222-2-22222-2-22222-2-22222-2-2-2-20000000000000000-2-222-2-222220000000000000000-2-222-2-2000000000000
χ202222-2-2-2-2222222-2-22222-2-2-2-2-2-222220000000000000000-2-2-2-2222222000000000000000022-2-2-2-2000000000000
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χ342-22-200−2i2i0022-2200-2-22-200−2i−2i2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2i2i00−2i2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002-200000000000000
χ352-22-200−2i2i0022-2200-2-22-200−2i−2i2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2i2i00−2i2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002-200000000000000
χ362-22-200−2i2i0022-2200-2-22-200−2i−2i2i2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i002i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00-2200000000000000
χ372-2-222-2000022-2-2222-2-22-2-200000000000000002i−2i−2i2i−2i2i2i−2i2-200002-2-22000000002i−2i−2i2i−2i2i2i−2i00002-2000000000000
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χ412-2-22-22000022-2-2-2-22-2-222200000000000000002-2-222-2-22-220000-222-2000000002-2-222-2-2200002-2000000000000
χ422-2-22-22000022-2-2-2-22-2-22220000000000000000-222-2-222-2-220000-222-200000000-222-2-222-200002-2000000000000
χ432-2-22-22000022-2-2-2-22-2-2222000000002-2-222-2-2200000000-2200002-2-222-2-222-2-22000000000000-22000000000000
χ442-2-22-22000022-2-2-2-22-2-222200000000-222-2-222-200000000-2200002-2-22-222-2-222-2000000000000-22000000000000
χ4544444444441-211111-2-2-211111111112222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-211111-2-2-21111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ474444444444-21-2-2-2-2-2111-2-2-2-2-2-2-2-2-2-20000000000000000111111000000000000000000000000002222-1-1-1-10000
χ484444444444-21-2-2-2-2-2111-2-2-2-2-2-2-2-2-2-2000000000000000011111100000000000000000000000000-2-2-2-211110000
χ49444444-4-4-4-41-211111-2-2-211-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-222220000-1-1-1-1-1-1-1-111111111000000000000000000
χ50444444-4-4-4-41-211111-2-2-211-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-22222000011111111-1-1-1-1-1-1-1-1000000000000000000
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χ784-4-444-400001-2-1-111122-2-1-13-3-333-3-33−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i-2200000000i−i−ii−iii−i−iii−ii−i−ii000000000000000000
χ794-4-444-400001-2-1-111122-2-1-1-333-3-333-32i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i-2200000000−iii−ii−i−ii−iii−ii−i−ii000000000000000000
χ804-4-444-400001-2-1-111122-2-1-1-333-3-333-3−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i-2200000000i−i−ii−iii−ii−i−ii−iii−i000000000000000000
χ814-4-44-4400001-2-1-1-1-1122-2113-3-33-333-32-2-222-2-22-222-2-222-22-200000000-111-1-111-11-1-111-1-11000000000000000000
χ824-4-44-4400001-2-1-1-1-1122-2113-3-33-333-3-222-2-222-22-2-222-2-222-2000000001-1-111-1-11-111-1-111-1000000000000000000
χ834-4-44-4400001-2-1-1-1-1122-211-333-33-3-332-2-222-2-222-2-222-2-222-200000000-111-1-111-1-111-1-111-1000000000000000000
χ844-4-44-4400001-2-1-1-1-1122-211-333-33-3-33-222-2-222-2-222-2-222-22-2000000001-1-111-1-111-1-111-1-11000000000000000000
χ8588-8-800008i−8i-42-440042-2-2000000−4i−4i4i4i000000000000000000002i−2i00000000000000000000000000000000000000
χ8688-8-80000−8i8i-42-440042-2-20000004i4i−4i−4i00000000000000000000−2i2i00000000000000000000000000000000000000
χ878-88-8008i−8i00-424-4004-22-200−4i−4i4i4i00000000000000000000002i−2i0000000000000000000000000000000000000000
χ888-88-800−8i8i00-424-4004-22-2004i4i−4i−4i0000000000000000000000−2i2i0000000000000000000000000000000000000000
χ898-8-888-80000-4244-4-4-4-2-22440000000000000000000000002-2000000000000000000000000000000000000000000
χ908-8-88-880000-424444-4-2-22-4-4000000000000000000000000-22000000000000000000000000000000000000000000

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