Finite Group Databasebeta

← Group #11860405

Character table — Group #11860405

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11222224444444666688881212121212121212243636112222244444446666888812121212121212122436361122222444444466668888121212121212121224363611222224444444666688881212121212121212243636
order1233466346121212122412121212121224666824241248441212412121241212121212441212121212124412121282424124822664666461212121224121212121212246668242412484412124121212412121212124412121212121244121212824241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1111-1-1-1-1-1-111111111111111111111111-1111-1-1-1-1-1-111111111111111111111111-1111-1-1-1-1-1-111111111111111111111111-1111-1-1-1-1-1-1
χ311111111111111-1-1-1-11111-11-1-1-11111-1-111111111111111-1-1-1-11111-11-1-1-11111-1-111111111111111-1-1-1-11111-11-1-1-11111-1-111111111111111-1-1-1-11111-11-1-1-11111-1-1
χ411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ511111111-111-1-111111-11-1-1-111-1-1-1-1-111-111111111-111-1-111111-11-1-1-111-1-1-1-1-111-111111111-111-1-111111-11-1-1-111-1-1-1-1-111-111111111-111-1-111111-11-1-1-111-1-1-1-1-111-1
χ611111111-111-1-111111-11-1-1-1-11-1-1111-1-1111111111-111-1-111111-11-1-1-1-11-1-1111-1-1111111111-111-1-111111-11-1-1-1-11-1-1111-1-1111111111-111-1-111111-11-1-1-1-11-1-1111-1-11
χ711111111-111-1-11-1-1-1-1-11-1-111-111-1-1-11-1111111111-111-1-11-1-1-1-1-11-1-111-111-1-1-11-1111111111-111-1-11-1-1-1-1-11-1-111-111-1-1-11-1111111111-111-1-11-1-1-1-1-11-1-111-111-1-1-11-11
χ811111111-111-1-11-1-1-1-1-11-1-11-1-111111-11-111111111-111-1-11-1-1-1-1-11-1-11-1-111111-11-111111111-111-1-11-1-1-1-1-11-1-11-1-111111-11-111111111-111-1-11-1-1-1-1-11-1-11-1-111111-11-1
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χ102222-222202-200-2-22220-20000-2000000002222-222202-200-2-22220-20000-2000000002222-222202-200-2-22220-20000-2000000002222-222202-200-2-22220-20000-200000000
χ11222-12-12-12-1-1-1-1222-1-12-1-1-120-1-1-1000000222-12-12-12-1-1-1-1222-1-12-1-1-120-1-1-1000000222-12-12-12-1-1-1-1222-1-12-1-1-120-1-1-1000000222-12-12-12-1-1-1-1222-1-12-1-1-120-1-1-1000000
χ12222-12-12-12-1-1-1-12-2-2112-1-1-1-20111000000222-12-12-12-1-1-1-12-2-2112-1-1-1-20111000000222-12-12-12-1-1-1-12-2-2112-1-1-1-20111000000222-12-12-12-1-1-1-12-2-2112-1-1-1-20111000000
χ13222-12-12-1-2-1-111222-1-1-2-111-20-111000000222-12-12-1-2-1-111222-1-1-2-111-20-111000000222-12-12-1-2-1-111222-1-1-2-111-20-111000000222-12-12-1-2-1-111222-1-1-2-111-20-111000000
χ14222-12-12-1-2-1-1112-2-211-2-111201-1-1000000222-12-12-1-2-1-1112-2-211-2-111201-1-1000000222-12-12-1-2-1-1112-2-211-2-111201-1-1000000222-12-12-1-2-1-1112-2-211-2-111201-1-1000000
χ15222-1-2-12-10-11−i3i3-22-21101−i3i300-1−i3i3000000222-1-2-12-10-11−i3i3-22-21101−i3i300-1−i3i3000000222-1-2-12-10-11−i3i3-22-21101−i3i300-1−i3i3000000222-1-2-12-10-11−i3i3-22-21101−i3i300-1−i3i3000000
χ16222-1-2-12-10-11−i3i3-2-22-1-101−i3i3001i3−i3000000222-1-2-12-10-11−i3i3-2-22-1-101−i3i3001i3−i3000000222-1-2-12-10-11−i3i3-2-22-1-101−i3i3001i3−i3000000222-1-2-12-10-11−i3i3-2-22-1-101−i3i3001i3−i3000000
χ17222-1-2-12-10-11i3−i3-22-21101i3−i300-1i3−i3000000222-1-2-12-10-11i3−i3-22-21101i3−i300-1i3−i3000000222-1-2-12-10-11i3−i3-22-21101i3−i300-1i3−i3000000222-1-2-12-10-11i3−i3-22-21101i3−i300-1i3−i3000000
χ18222-1-2-12-10-11i3−i3-2-22-1-101i3−i3001−i3i3000000222-1-2-12-10-11i3−i3-2-22-1-101i3−i3001−i3i3000000222-1-2-12-10-11i3−i3-2-22-1-101i3−i3001−i3i3000000222-1-2-12-10-11i3−i3-2-22-1-101i3−i3001−i3i3000000
χ1922-1222-1-12-1222-10000-1-1-1-1020002-1-1-10022-1222-1-12-1222-10000-1-1-1-1020002-1-1-10022-1222-1-12-1222-10000-1-1-1-1020002-1-1-10022-1222-1-12-1222-10000-1-1-1-1020002-1-1-100
χ2022-1222-1-12-1222-10000-1-1-1-10-2000-21110022-1222-1-12-1222-10000-1-1-1-10-2000-21110022-1222-1-12-1222-10000-1-1-1-10-2000-21110022-1222-1-12-1222-10000-1-1-1-10-2000-211100
χ2122-1222-1-1-2-12-2-2-100001-11102000-211-10022-1222-1-1-2-12-2-2-100001-11102000-211-10022-1222-1-1-2-12-2-2-100001-11102000-211-10022-1222-1-1-2-12-2-2-100001-11102000-211-100
χ2222-1222-1-1-2-12-2-2-100001-1110-20002-1-110022-1222-1-1-2-12-2-2-100001-1110-20002-1-110022-1222-1-1-2-12-2-2-100001-1110-20002-1-110022-1222-1-1-2-12-2-2-100001-1110-20002-1-1100
χ2344-24-44-2-20-2-4002000002000000000000044-24-44-2-20-2-4002000002000000000000044-24-44-2-20-2-4002000002000000000000044-24-44-2-20-2-40020000020000000000000
χ2444-2-24-2-2141-2-2-2-20000-21110000000000044-2-24-2-2141-2-2-2-20000-21110000000000044-2-24-2-2141-2-2-2-20000-21110000000000044-2-24-2-2141-2-2-2-20000-211100000000000
χ2544-2-24-2-21-41-222-2000021-1-10000000000044-2-24-2-21-41-222-2000021-1-10000000000044-2-24-2-21-41-222-2000021-1-10000000000044-2-24-2-21-41-222-2000021-1-100000000000
χ2644-2-2-4-2-21012−2i32i3200000-1i3−i30000000000044-2-2-4-2-21012−2i32i3200000-1i3−i30000000000044-2-2-4-2-21012−2i32i3200000-1i3−i30000000000044-2-2-4-2-21012−2i32i3200000-1i3−i300000000000
χ2744-2-2-4-2-210122i3−2i3200000-1−i3i30000000000044-2-2-4-2-210122i3−2i3200000-1−i3i30000000000044-2-2-4-2-210122i3−2i3200000-1−i3i30000000000044-2-2-4-2-210122i3−2i3200000-1−i3i300000000000
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χ324-4-240-42-202000000000000000000−i6i60004-4-240-42-202000000000000000000−i6i60004-4-240-42-202000000000000000000−i6i60004-4-240-42-202000000000000000000−i6i6000
χ338-8-4-404420-2000000000000000000000008-8-4-404420-2000000000000000000000008-8-4-404420-2000000000000000000000008-8-4-404420-200000000000000000000000
χ34111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3511111111111111111111111-1111-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiii−iiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i−i−iiiiiii
χ3611111111111111-1-1-1-11111-11-1-1-11111-1-1iiiiiiiiiiiiii−i−i−i−iiiii−ii−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−ii−iiii−i−i−i−iii
χ3711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111iiiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiiii−i−i
χ3811111111-111-1-111111-11-1-1-111-1-1-1-1-111-1iiiiiiii−iii−i−iiiiii−ii−i−i−iii−i−i−i−i−iii−i-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1111-1-111111-1-11−i−i−i−i−i−i−i−ii−i−iii−i−i−i−i−ii−iiii−i−iiiiii−i−ii
χ3911111111-111-1-111111-11-1-1-1-11-1-1111-1-11iiiiiiii−iii−i−iiiiii−ii−i−i−i−ii−i−iiii−i−ii-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-11111-111-1-1-111-1−i−i−i−i−i−i−i−ii−i−iii−i−i−i−i−ii−iiiii−iii−i−i−iii−i
χ4011111111-111-1-11-1-1-1-1-11-1-111-111-1-1-11-11iiiiiiii−iii−i−ii−i−i−i−i−ii−i−iii−iii−i−i−ii−ii-1-1-1-1-1-1-1-11-1-111-111111-111-1-11-1-1111-11-1−i−i−i−i−i−i−i−ii−i−iii−iiiiii−iii−i−ii−i−iiii−ii−i
χ4111111111-111-1-11-1-1-1-1-11-1-11-1-111111-11-1iiiiiiii−iii−i−ii−i−i−i−i−ii−i−ii−i−iiiiii−ii−i-1-1-1-1-1-1-1-11-1-111-111111-111-111-1-1-1-1-11-11−i−i−i−i−i−i−i−ii−i−iii−iiiiii−iii−iii−i−i−i−i−ii−ii
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χ432222-222202-200-2-22220-20000-2000000002i2i2i2i−2i2i2i2i02i−2i00−2i−2i2i2i2i0−2i0000−2i00000000-2-2-2-22-2-2-20-220022-2-2-2020000200000000−2i−2i−2i−2i2i−2i−2i−2i0−2i2i002i2i−2i−2i−2i02i00002i00000000
χ44222-12-12-12-1-1-1-1222-1-12-1-1-120-1-1-10000002i2i2i−i2i−i2i−i2i−i−i−i−i2i2i2i−i−i2i−i−i−i2i0−i−i−i000000-2-2-21-21-21-21111-2-2-211-2111-20111000000−2i−2i−2ii−2ii−2ii−2iiiii−2i−2i−2iii−2iiii−2i0iii000000
χ45222-12-12-12-1-1-1-12-2-2112-1-1-1-201110000002i2i2i−i2i−i2i−i2i−i−i−i−i2i−2i−2iii2i−i−i−i−2i0iii000000-2-2-21-21-21-21111-222-1-1-211120-1-1-1000000−2i−2i−2ii−2ii−2ii−2iiiii−2i2i2i−i−i−2iiii2i0−i−i−i000000
χ46222-12-12-1-2-1-111222-1-1-2-111-20-1110000002i2i2i−i2i−i2i−i−2i−i−iii2i2i2i−i−i−2i−iii−2i0−iii000000-2-2-21-21-21211-1-1-2-2-21121-1-1201-1-1000000−2i−2i−2ii−2ii−2ii2iii−i−i−2i−2i−2iii2ii−i−i2i0i−i−i000000
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χ5322-1222-1-12-1222-10000-1-1-1-10-2000-2111002i2i−i2i2i2i−i−i2i−i2i2i2i−i0000−i−i−i−i0−2i000−2iiii00-2-21-2-2-211-21-2-2-2100001111020002-1-1-100−2i−2ii−2i−2i−2iii−2ii−2i−2i−2ii0000iiii02i0002i−i−i−i00
χ5422-1222-1-1-2-12-2-2-100001-11102000-211-1002i2i−i2i2i2i−i−i−2i−i2i−2i−2i−i0000i−iii02i000−2iii−i00-2-21-2-2-21121-22210000-11-1-10-20002-1-1100−2i−2ii−2i−2i−2iii2ii−2i2i2ii0000−ii−i−i0−2i0002i−i−ii00
χ5522-1222-1-1-2-12-2-2-100001-1110-20002-1-11002i2i−i2i2i2i−i−i−2i−i2i−2i−2i−i0000i−iii0−2i0002i−i−ii00-2-21-2-2-21121-22210000-11-1-102000-211-100−2i−2ii−2i−2i−2iii2ii−2i2i2ii0000−ii−i−i02i000−2iii−i00
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χ1284-44-202-4-20200000023−23000000000000000−4i4i−4i2i0−2i4i2i0−2i000000−2i32i3000000000000000-44-420-2420-2000000−23230000000000000004i−4i4i−2i02i−4i−2i02i0000002i3−2i3000000000000000
χ1294-44-202-4-202000000−2323000000000000000−4i4i−4i2i0−2i4i2i0−2i0000002i3−2i3000000000000000-44-420-2420-200000023−230000000000000004i−4i4i−2i02i−4i−2i02i000000−2i32i3000000000000000
χ1304-4-240-42-202000000000000000000i6−i6000−4i4i2i−4i04i−2i2i0−2i0000000000000000006−6000-442-404-220-2000000000000000000−i6i60004i−4i−2i4i0−4i2i−2i02i000000000000000000−66000
χ1314-4-240-42-202000000000000000000−i6i6000−4i4i2i−4i04i−2i2i0−2i000000000000000000−66000-442-404-220-2000000000000000000i6−i60004i−4i−2i4i0−4i2i−2i02i0000000000000000006−6000
χ1328-8-4-404420-200000000000000000000000−8i8i4i4i0−4i−4i−2i02i00000000000000000000000-88440-4-4-202000000000000000000000008i−8i−4i−4i04i4i2i0−2i00000000000000000000000

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