Finite Group Databasebeta

← Group #13162030

Character table — Group #13162030

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222244444444444444444444444444448888888888888888888888888888888888888181836363636363636363672727272727272727272727272
order1223334466666333336666666666666666612121212121241212121212121212121212121212121212121212121212121212121212121212121212128824888242424244688121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-11111
χ511111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-11-1-1-1-111-1-1
χ611111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-111-1-1-111-1-111
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1111111-1-1
χ9222222-2-2222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000000002i−2i00000000000002i−2i00
χ10222222-2-2222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-20000000000000000000000000−2i2i0000000000000−2i2i00
χ1122222-122222-122-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000-120-100-1-10000
χ1222222-122222-122-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000001-20100110000
χ1322222-122222-122-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-2-2-211-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111002200000000-1-20-100110000
χ1422222-122222-122-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-2-2-211-2-222-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100-2-200000000120100-1-10000
χ152222-122222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-1222-1-12222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000220000000200000-1-1-1-1
χ162222-122222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-1222-1-12222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-20000000-2000001111
χ172222-122222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-122-211-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-211111111111100000220000000-200000-1-111
χ182222-122222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-122-211-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-211111111111100000-2-2000000020000011-1-1
χ192222-12-2-222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-20−i3i3000011-2-2111111−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000002i−2i0000000000000−ii3−3
χ202222-12-2-222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-20−i3i3000011-2-2111111−i3−i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i300000−2i2i0000000000000i−i−33
χ212222-12-2-222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-20i3−i3000011-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000002i−2i0000000000000−ii−33
χ222222-12-2-222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-20i3−i3000011-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i300000−2i2i0000000000000i−i3−3
χ23222-12222-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1222-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12200200-1-1-1-120000-1-1000000
χ24222-12222-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1222-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2001111-2000011000000
χ25222-12222-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1222-1-2-2-2-2-211-1-1-1-122-1-1-1-111111111-2-21111-2-211112200200-1-1-1-1-2000011000000
χ26222-12222-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1222-1-2-2-2-2-211-1-1-1-122-1-1-1-111111111-2-21111-2-21111-2-200-200111120000-1-1000000
χ2722-22222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-2000000000000000000002200-20022-2-20000000000000
χ2822-22222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-200000000000000000000-2-200200-2-2220000000000000
χ2922-2222-22-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-22200000000000000000000002-200000000200-200000000
χ3022-2222-22-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-2220000000000000000000000-2200000000-200200000000
χ3122-222-1-22-2-22-122-1-1-1-1-21-2-2111111112-1-1-1-112-22-1-2000−i3i300-221-11-111-1-10000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3002-200000000-100100−i3i30000
χ3222-222-1-22-2-22-122-1-1-1-1-21-2-2111111112-1-1-1-112-22-1-2000−i3i300-221-11-111-1-10000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i300-2200000000100-100i3−i30000
χ3322-222-1-22-2-22-122-1-1-1-1-21-2-2111111112-1-1-1-112-22-1-2000i3−i300-221-11-111-1-10000i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3002-200000000-100100i3−i30000
χ3422-222-1-22-2-22-122-1-1-1-1-21-2-2111111112-1-1-1-112-22-1-2000i3−i300-221-11-111-1-10000i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i300-2200000000100-100−i3i30000
χ3522-2-1222-21122-1-1-12-1-1-2-21111-2-21111-1-12-1-1212-2-2-100000−i3i3-11-112-2-1-111−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i32200-200-1-11100000−i3i3000000
χ3622-2-1222-21122-1-1-12-1-1-2-21111-2-21111-1-12-1-1212-2-2-100000−i3i3-11-112-2-1-111−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-2-20020011-1-100000i3−i3000000
χ3722-2-1222-21122-1-1-12-1-1-2-21111-2-21111-1-12-1-1212-2-2-100000i3−i3-11-112-2-1-111i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i32200-200-1-11100000i3−i3000000
χ3822-2-1222-21122-1-1-12-1-1-2-21111-2-21111-1-12-1-1212-2-2-100000i3−i3-11-112-2-1-111i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-2-20020011-1-100000−i3i3000000
χ3944444-2-4-4444-244-2-2-2-24-244-2-2-2-2-2-2-2-24-2-2-2-22-4-4-42-40000000-4-42222222200000000000000000000000000000000000000000000
χ404444-2-24444-2-24-2-2111-2-2-2-2-2-2111111-2-2111-24-2-2-244-2-2-2-244-2-2-2-2111111-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ414444-2-24444-2-24-2-2111-2-2-2-2-2-2111111-2-2111-24-2-2-24-42222-4-4-2-2-2-211111122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ424444-2-2-4-444-2-24-2-2111-2-2-2-2-2-2111111-2-21112-4222-40−2i32i300002222-1-1-1-1-1-1−2i3−2i32i32i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000000000000000
χ434444-2-2-4-444-2-24-2-2111-2-2-2-2-2-2111111-2-21112-4222-402i3−2i300002222-1-1-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000000000000000
χ44444-244-4-4-2-244-2-2-24-2-244-2-2-2-244-2-2-2-2-2-24-2-2-42-4-4-4200000002222-4-4222200000000000000000000000000000000000000000000
χ45444-24-244-2-24-2-2-21-2114-2-2-211-2-21111-21-211-2-244-2-2444-2-2-2-2-2-211-2-21111-2-2-2-21111-2-21111-2-21111000000000000000000000000
χ46444-24-244-2-24-2-2-21-2114-2-2-211-2-21111-21-211-2-244-2-2-4-4-42222-2-211-2-211112222-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000000000
χ47444-24-2-4-4-2-24-2-2-21-2114-2-2-211-2-21111-21-21122-4-422000000022-1-122-1-1-1-100003-3-33003-3-33003-3-33000000000000000000000000
χ48444-24-2-4-4-2-24-2-2-21-2114-2-2-211-2-21111-21-21122-4-422000000022-1-122-1-1-1-10000-333-300-333-300-333-3000000000000000000000000
χ49444-2-2444-2-2-24-21-2-211-2411-2-2-2-211111-2-2114-2-2-24-24-2-244-2-211-2-2-2-211111111-2-2-2-2-2-21111-2-21111000000000000000000000000
χ50444-2-2444-2-2-24-21-2-211-2411-2-2-2-211111-2-2114-2-2-24-2-422-4-42211-2-2-2-21111-1-1-1-1222222-1-1-1-122-1-1-1-1000000000000000000000000
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χ52444-2-24-4-4-2-2-24-21-2-211-2411-2-2-2-211111-2-211-4222-4202i3−2i30000-1-12222-1-1-1-1−i3−i3i3i300002i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3000000000000000000000000
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+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i321111111111−1−3i32−1+3i32−1+3i32−1−3i3211−1+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+3i32-2-2-2-2-2-2-4222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-11−3i321+3i321+3i321−3i32000000000000000000000000
χ55444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i321111111111−1+3i32−1−3i32−1−3i32−1+3i3211−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000
χ56444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-11+3i321−3i321−3i321+3i32000000000000000000000000
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+3i322222220−2i32i30000-1-1-1-1-1-11+3i321−3i321+3i321−3i32i3i3−i3−i33-3-33i3i3−3−i323−i323−i32−3−i32−i3−i3−3+i323+i323+i32−3+i32000000000000000000000000
χ58444-2-2-2-4-4-2-2-2-2-2111−1−3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i3222222202i3−2i30000-1-1-1-1-1-11+3i321−3i321+3i321−3i32−i3−i3i3i3-333-3−i3−i33+i32−3+i32−3+i323+i32i3i33−i32−3−i32−3−i323−i32000000000000000000000000
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+3i32−1−3i322222220−2i32i30000-1-1-1-1-1-11−3i321+3i321−3i321+3i32i3i3−i3−i3-333-3i3i33−i32−3−i32−3−i323−i32−i3−i33+i32−3+i32−3+i323+i32000000000000000000000000
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+3i32−1−3i3222222202i3−2i30000-1-1-1-1-1-11−3i321+3i321−3i321+3i32−i3−i3i3i33-3-33−i3−i3−3+i323+i323+i32−3+i32i3i3−3−i323−i323−i32−3−i32000000000000000000000000
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χ8044-4-2-2-24-422-2-2-2111−1+3i32−1−3i3222-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-2000002i3−2i31-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32-333+i323−i32−3+i32−3−i32000000000000000000000000
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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
χ874-40-24400−2i32i3-4-42-2-24-2-200−2i32i3−2i32i300−2i32i3−2i32i322-422000000000000000000000000000000000000000000022−2200000−22i6−i60000000000000
χ884-40-24400−2i32i3-4-42-2-24-2-200−2i32i3−2i32i300−2i32i3−2i32i322-4220000000000000000000000000000000000000000000−2222000002−2−i6i60000000000000
χ894-40-244002i3−2i3-4-42-2-24-2-2002i3−2i32i3−2i3002i3−2i32i3−2i322-422000000000000000000000000000000000000000000022−2200000−22−i6i60000000000000
χ904-40-244002i3−2i3-4-42-2-24-2-2002i3−2i32i3−2i3002i3−2i32i3−2i322-4220000000000000000000000000000000000000000000−2222000002−2i6−i60000000000000
χ918-8088-40000-84-88-4-4-4-4000000000000-844440000000000000000000000000000000000000000000000000000000000000000000
χ928-808-4800004-8-8-48-4-4-40000000000004-84440000000000000000000000000000000000000000000000000000000000000000000
χ938-808-4-4000044-8-4-42220000006-66-6-6644-2-2-20000000000000000000000000000000000000000000000000000000000000000000
χ948-808-4-4000044-8-4-4222000000-66-666-644-2-2-20000000000000000000000000000000000000000000000000000000000000000000
χ958-80-48-400−4i34i3-844-42-42200−4i34i32i3−2i3002i3−2i32i3−2i34-24-2-20000000000000000000000000000000000000000000000000000000000000000000
χ968-80-48-4004i3−4i3-844-42-422004i3−4i3−2i32i300−2i32i3−2i32i34-24-2-20000000000000000000000000000000000000000000000000000000000000000000
χ978-80-4-4800−4i34i34-842-4-422002i3−2i3−4i34i3002i3−2i32i3−2i3-244-2-20000000000000000000000000000000000000000000000000000000000000000000
χ988-80-4-48004i3−4i34-842-4-42200−2i32i34i3−4i300−2i32i3−2i32i3-244-2-20000000000000000000000000000000000000000000000000000000000000000000
χ998-80-4-4-400−4i34i3444222−1−3i3−1+3i3002i3−2i32i3−2i36-6−3−i33+i33−i3−3+i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000
χ1008-80-4-4-400−4i34i3444222−1+3i3−1−3i3002i3−2i32i3−2i3-663−i3−3+i3−3−i33+i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000
χ1018-80-4-4-4004i3−4i3444222−1−3i3−1+3i300−2i32i3−2i32i3-663+i3−3−i3−3+i33−i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-4004i3−4i3444222−1+3i3−1−3i300−2i32i3−2i32i36-6−3+i33−i33+i3−3−i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000

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