Finite Group Databasebeta

← Group #13161978

Character table — Group #13161978

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222244444444444444444444444444448888888888888888888888888888888888888181836363636363636363672727272727272727272727272
order122333446666633333666666666666666661212121212122666666666666666666666666661212121212121212121288248882424242426668812242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-11111
χ511111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-11-1-1-1-11-1-111-1-1
χ611111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-11111-1-1-1-111-111-1-111
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-11111-111-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11-1111-1-11111-1-1
χ9222222-2-2222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-2000002i−2i00000000000002i−2i00
χ10222222-2-2222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-200000−2i2i0000000000000−2i2i00
χ1122222-122-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1222-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200200-1-1-1-120-1-1000000000
χ1222222-122-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1222-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2001111-2011000000000
χ1322222-122-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-12200200-1-1-1-1-2011000000000
χ1422222-122-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1-2-200-200111120-1-1000000000
χ152222-12222222-1-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1002200000000-10020-1-1-10000
χ162222-12222222-1-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200000000100-201110000
χ172222-12222222-1-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-21111-2-2-2-2111111111111-1-122-1-1-1-1-1-1002200000000-100-20-1110000
χ182222-12222222-1-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-21111-2-2-2-2111111111111-1-122-1-1-1-1-1-100-2-200000000100201-1-10000
χ19222-1222222-122-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-122-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000220000000002000-1-1-1-1
χ20222-1222222-122-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-122-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000-2-2000000000-20001111
χ21222-1222222-122-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-122-1-122-211-2-2-2-211111111-2-2-2-211111111-1-1-1-122-1-1-1-10000022000000000-2000-1-111
χ22222-1222222-122-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-122-1-122-211-2-2-2-211111111-2-2-2-211111111-1-1-1-122-1-1-1-100000-2-2000000000200011-1-1
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χ25222-122-2-222-122-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-1-2-211-2-20i3−i30000i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i31111-2-21111000002i−2i0000000000000−ii−33
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χ2722-22222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-2002-20000000020000-2000000
χ2822-22222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-200-2200000000-200002000000
χ2922-2222-22-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-2222200-20022-2-20000000000000
χ3022-2222-22-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-222-2-200200-2-2220000000000000
χ3122-222-1-22112-122-1-1-1-1-2-2-2-2111111112-1-1-1-112-22-1-200000−i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-221-11-111-1-12200-200-1-11100−i3i3000000000
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χ3822-22-122-2-2-222-1-12-1-1-1-2111-2-2111111-12-1-1-1212-2-2-1000i3−i300i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-112-2-11-1-11100-220000000010000-1−i3i30000
χ3944444-2-4-4-2-24-244-2-2-2-24444-2-2-2-2-2-2-2-24-2-2-2-22-4-4-42-4000000000000000000000000000-4-422222222000000000000000000000000
χ404444-24-4-44444-2-24-2-2-24-2-2-244-2-2-2-2-2-2-24-2-2-2-42-4-4-4200000000000000000000000000022-4-4222222000000000000000000000000
χ414444-2-244-2-24-2-2-2-21114-2-2-2-2-2111111-2-2111-2-244-2-2444-2-2-2-2-2-2-2-2-2-2-2-2111111111111-2-2-2-2111111000000000000000000000000
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χ434444-2-2-4-4-2-24-2-2-2-21114-2-2-2-2-2111111-2-211122-4-4220000000000000003-3-333-3-333-3-332222-1-1-1-1-1-1000000000000000000000000
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χ45444-24-244-2-2-2-24-21-211-24-2-211-2-21111-21-211-24-2-2-244-2-244-2-2-2-2-2-21111-2-2-2-211111111-2-211-2-21111000000000000000000000000
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χ47444-24-2-4-4-2-2-2-24-21-211-24-2-211-2-21111-21-2112-4222-40−2i32i30000−2i3−2i32i32i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i322-1-122-1-1-1-1000000000000000000000000
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χ49444-2-244444-24-21-2-211-2-211-2-2-2-211111-2-2114-2-2-24-24-2-2-2-2441111-2-2-2-2-2-2-2-21111111111-2-2-2-21111000000000000000000000000
χ50444-2-244444-24-21-2-211-2-211-2-2-2-211111-2-2114-2-2-24-2-42222-4-4-1-1-1-122222222-1-1-1-1-1-1-1-111-2-2-2-21111000000000000000000000000
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χ52444-2-24-4-444-24-21-2-211-2-211-2-2-2-211111-2-211-4222-4202i3−2i30000−i3−i3i3i32i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3-1-12222-1-1-1-1000000000000000000000000
χ53444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111111111−1−3i32−1+3i32−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000
χ54444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i321−3i321+3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000
χ55444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111111111−1+3i32−1−3i32−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000
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χ57444-2-2-2-4-4-2-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i322222220−2i32i30000i3i3−i3−i3i3i3−i3−i33-3-33−3−i323−i323−i32−3−i32−3+i323+i323+i32−3+i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000
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χ59444-2-2-2-4-4-2-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i322222220−2i32i30000i3i3−i3−i3i3i3−i3−i3-333-33−i32−3−i32−3−i323−i323+i32−3+i32−3+i323+i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000
χ60444-2-2-2-4-4-2-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i3222222202i3−2i30000−i3−i3i3i3−i3−i3i3i33-3-33−3+i323+i323+i32−3+i32−3−i323−i323−i32−3−i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000
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χ7444-4-2-244-4-4-4-24-21-2-21122-1-12222-1-1-1-11-2-21142-22-4-20002i3−2i300−i3i3−i3i300002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i31-1-22-2211-1-1000000000000000000000000
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χ854-404440000-4-4-444444000000000000-4-4-4-4-4000000000000000000000000000000000000000000022−220000022−22000000000000000
χ864-404440000-4-4-444444000000000000-4-4-4-4-40000000000000000000000000000000000000000000−222200000−2222000000000000000
χ874-4044-200−2i32i3-42-44-2-2-2-20000−2i32i3−2i32i3−2i32i3−2i32i3-42222000000000000000000000000000000000000000000022−2200000−22i6−i60000000000000
χ884-4044-200−2i32i3-42-44-2-2-2-20000−2i32i3−2i32i3−2i32i3−2i32i3-422220000000000000000000000000000000000000000000−2222000002−2−i6i60000000000000
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χ904-4044-2002i3−2i3-42-44-2-2-2-200002i3−2i32i3−2i32i3−2i32i3−2i3-422220000000000000000000000000000000000000000000−2222000002−2i6−i60000000000000
χ918-808-480000-8-84-48-4-4-40000000000004-84440000000000000000000000000000000000000000000000000000000000000000000
χ928-808-4-400−4i34i3-844-4-42220000−4i34i32i3−2i32i3−2i32i3−2i344-2-2-20000000000000000000000000000000000000000000000000000000000000000000
χ938-808-4-4004i3−4i3-844-4-422200004i3−4i3−2i32i3−2i32i3−2i32i344-2-2-20000000000000000000000000000000000000000000000000000000000000000000
χ948-80-48800004-8-8-4-48-4-400000000000044-8440000000000000000000000000000000000000000000000000000000000000000000
χ958-80-48-400−4i34i344-8-42-42200002i3−2i3−4i34i32i3−2i32i3−2i34-24-2-20000000000000000000000000000000000000000000000000000000000000000000
χ968-80-48-4004i3−4i344-8-42-4220000−2i32i34i3−4i3−2i32i3−2i32i34-24-2-20000000000000000000000000000000000000000000000000000000000000000000
χ978-80-4-4800004-842-4-422006-600006-6-66-244-2-20000000000000000000000000000000000000000000000000000000000000000000
χ988-80-4-4800004-842-4-42200-660000-666-6-244-2-20000000000000000000000000000000000000000000000000000000000000000000
χ998-80-4-4-400−4i34i3444222−1−3i3−1+3i3006-62i3−2i32i3−2i3−3−i33+i33−i3−3+i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000
χ1008-80-4-4-400−4i34i3444222−1+3i3−1−3i300-662i3−2i32i3−2i33−i3−3+i3−3−i33+i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000
χ1018-80-4-4-4004i3−4i3444222−1−3i3−1+3i300-66−2i32i3−2i32i33+i3−3−i3−3+i33−i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-4004i3−4i3444222−1+3i3−1−3i3006-6−2i32i3−2i32i3−3+i33−i33+i3−3−i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000

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