Finite Group Databasebeta

← Group #72242521

Character table — Group #72242521

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111224444444444888888888888101010101010101016161616161616161616161616161616202020202525252525252525252525254040404040404040505050505050505050505050505080808080100100100100100100100100100100
order1222444455101010101010551010101010102020202088888888202020202020202020202020202020204444222244444444404040404040404044444488888888202020204444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1ii−i−i-1iiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1−i−iii-1−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii
χ51111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1ii−i−i-1−i−i−i−iiiii-1-111-1-1ii−i−iii−i−i
χ61111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1−i−iii-1iiii−i−i−i−i-1-111-1-1−i−iii−i−iii
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-111-1-11111-1-1
χ9111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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χ13111111-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1ii−i−i-1−i−i−i−iiiii11-1-111−i−iii−i−iii
χ14111111-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1−i−iii-1iiii−i−i−i−i11-1-111ii−i−iii−i−i
χ15111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ16111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111111-1-111-1-1-1-111
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χ201-11-1-11i−i1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111ii−i−i11-1-1iiii−i−i−i−ii−i−ii-1-111−i−iiiii−i−i11-1-1-1-1111−iii−i-1−i−iiiii−i−ii−i−ii−ii1-11-1-11-11
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χ251-11-1-11−ii1111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−ii11-1-111-1-111-1-111-1-111-1-1-11-11-1111-1-111-1-1−ii−ii−ii−ii−ii−ii−ii
χ261-11-1-11−ii1111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−ii11-1-1-1-111-1-11111-1-111-1-1-1-11-111-1-111-1-111−ii−ii−iii−ii−ii−ii−i
χ271-11-1-11−ii1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111−i−iii11-1-1−i−i−i−iiiii−iii−i-1-111ii−i−i−i−iii11-1-1-1-1111i−i−ii-1ii−i−i−i−iii−iii−ii−i1-11-1-11-11
χ281-11-1-11−ii1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111−i−iii11-1-1−i−i−i−iiiii−iii−i-1-111−i−iiiii−i−i11-1-1-1-1111−iii−i-1−i−iiiii−i−i−iii−ii−i-11-111-11-1
χ291-11-1-11−ii1111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1−i−iii11-1-1−i−i−i−iiiiii−i−ii-1-111ii−i−i−i−iii-1-11111-1-11i−i−ii-1−i−iiiii−i−ii−i−iii−i1-1-111-1-11
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χ898-88-88-800-2-2-2-222223-2-323-2-32-2-222000000000000-323-2i5−i52i5−2i5−i5i5−2i52i50000000000000000000000000000000000000000000000000000
χ908-88-88-800-2-2-2-222223-2-323-2-32-2-222000000000000-323-2−i5i5−2i52i5i5−i52i5−2i50000000000000000000000000000000000000000000000000000
χ918-88-88-800-2-2-2-22222-232-3-232-3-2-2220000000000002-3-232i5−2i5−i5i5−2i52i5i5−i50000000000000000000000000000000000000000000000000000
χ928-88-88-800-2-2-2-22222-232-3-232-3-2-2220000000000002-3-23−2i52i5i5−i52i5−2i5−i5i50000000000000000000000000000000000000000000000000000
χ938-88-8-888i−8i-2-2-2-222223-2-323-2-3222-2-200000000−2i−2i2i2i3-2-323i3i−2i−2i−3i−3i2i2i0000000000000000000000000000000000000000000000000000
χ948-88-8-888i−8i-2-2-2-22222-232-3-232-322-2-200000000−2i−2i2i2i-232-3−2i−2i3i3i2i2i−3i−3i0000000000000000000000000000000000000000000000000000
χ958-88-8-88−8i8i-2-2-2-222223-2-323-2-3222-2-2000000002i2i−2i−2i3-2-32−3i−3i2i2i3i3i−2i−2i0000000000000000000000000000000000000000000000000000
χ968-88-8-88−8i8i-2-2-2-22222-232-3-232-322-2-2000000002i2i−2i−2i-232-32i2i−3i−3i−2i−2i3i3i0000000000000000000000000000000000000000000000000000
χ978-8-8800008-2-828-2-82-2-22222-2-2000000004i2−4i2−4i24i2000000000000000000000000000000000000−i2i2i2−i20000000000000000000000000000
χ988-8-8800008-2-828-2-82-2-22222-2-200000000−4i24i24i2−4i2000000000000000000000000000000000000i2−i2−i2i20000000000000000000000000000
χ998-8-880000-282-8-282-8-2-22222-2-200004i2−4i2−4i24i2000000000000000000000000000000000000−i2i2i2−i200000000000000000000000000000000
χ1008-8-880000-282-8-282-8-2-22222-2-20000−4i24i24i2−4i2000000000000000000000000000000000000i2−i2−i2i200000000000000000000000000000000
χ1011616-16-160000-4-44444-4-46-46-4-64-6400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021616-16-160000-4-44444-4-4-46-464-64-600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16-16160000-4-444-4-4446-4-64-646-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16-16160000-4-444-4-444-464-64-6-4600000000000000000000000000000000000000000000000000000000000000000000000000000000

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