Finite Group Databasebeta

← Group #13161980

Character table — Group #13161980

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222244444444444444444444444444448888888888888888888888888888888888888181836363636363636363672727272727272727272727272
order12233344666663333366666666666666666121212121212266666666666666666666666666121212121212121212128824888242424244688121212242424242424
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
χ511111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-11-1-11-1-1-1-111-1-1
χ611111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-11111-1-111-1-1-111-1-111
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-11111-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11-11-1-1111111-1-1
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
χ1122222-122222-122-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200000000-120-100-1-10000
χ1222222-122222-122-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2000000001-20100110000
χ1322222-122222-122-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1002200000000-1-20-100110000
χ1422222-122222-122-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-1-1222-12-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-100-2-200000000120100-1-10000
χ152222-122222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-122222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000220000000200000-1-1-1-1
χ162222-122222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-122222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000-2-20000000-2000001111
χ172222-122222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-122-2-2-211-2-21111-2-2-2-2111111111111-1-122-1-1-1-1-1-100000220000000-200000-1-111
χ182222-122222-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-122-1-122-2-2-211-2-21111-2-2-2-2111111111111-1-122-1-1-1-1-1-100000-2-2000000020000011-1-1
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χ23222-12222-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1222-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12200200-1-1-1-120000-1-1000000
χ24222-12222-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1222-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2001111-2000011000000
χ25222-12222-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1222-1-211-2-2-2-211111111-2-21111-2-21111-1-1-1-122-1-1-1-12200200-1-1-1-1-2000011000000
χ26222-12222-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12-1222-1-211-2-2-2-211111111-2-21111-2-21111-1-1-1-122-1-1-1-1-2-200-200111120000-1-1000000
χ2722-22222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-22200-20022-2-20000000000000
χ2822-22222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-2-2-200200-2-2220000000000000
χ2922-2222-22-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-222002-200000000200-200000000
χ3022-2222-22-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-22200-2200000000-200200000000
χ3122-222-1-22-2-22-122-1-1-1-1-21-2-2111111112-1-1-1-112-22-1-200000−i3i30000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-221-11-111-1-1002-200000000-100100−i3i30000
χ3222-222-1-22-2-22-122-1-1-1-1-21-2-2111111112-1-1-1-112-22-1-200000−i3i30000−i3−i3i3i3−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-221-11-111-1-100-2200000000100-100i3−i30000
χ3322-222-1-22-2-22-122-1-1-1-1-21-2-2111111112-1-1-1-112-22-1-200000i3−i30000i3i3−i3−i3i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-221-11-111-1-1002-200000000-100100i3−i30000
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χ3622-2-1222-21122-1-1-12-1-1-2-21111-2-21111-1-12-1-1212-2-2-10−i3i30000−i3i3−i3i3−i3i3−i3i300−i3i3−i3i300−i3i3−i3i3-11-112-2-1-111-2-20020011-1-100000i3−i3000000
χ3722-2-1222-21122-1-1-12-1-1-2-21111-2-21111-1-12-1-1212-2-2-10i3−i30000i3−i3i3−i3i3−i3i3−i300i3−i3i3−i300i3−i3i3−i3-11-112-2-1-1112200-200-1-11100000i3−i3000000
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χ3944444-2-4-4444-244-2-2-2-24-244-2-2-2-2-2-2-2-24-2-2-2-22-4-4-42-4000000000000000000000000000-4-422222222000000000000000000000000
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χ47444-24-2-4-4-2-24-2-2-21-2114-2-2-211-2-21111-21-21122-4-422000000000003-3-33003-3-33003-3-3322-1-122-1-1-1-1000000000000000000000000
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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+3i32-2-2-2-2-2-24-2-2-2-2-2-21111111111−1−3i32−1+3i32−1+3i32−1−3i3211−1+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+3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-11−3i321+3i321+3i321−3i32111111−1−3i32−1+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+3i32222222000−2i32i300i3i3−i3−i33-3-33i3i3−3−i323−i323−i32−3−i32−i3−i3−3+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+3i32−1−3i32222222000−2i32i300i3i3−i3−i3-333-3i3i33−i32−3−i32−3−i323−i32−i3−i33+i32−3+i32−3+i323+i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000
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χ7244-4-24-2-44224-2-2-21-211-4222-1-122-1-1-1-1-21-2112-2-44-22000002i3−2i30000−i3−i3i3i32i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i32-2-112-2-1-111000000000000000000000000
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χ854-404440000-4-4-444444000000000000-4-4-4-4-40000000000000000000000000000000000000000000−2i22i200000−2i22i2000000000000000
χ864-404440000-4-4-444444000000000000-4-4-4-4-400000000000000000000000000000000000000000002i2−2i2000002i2−2i2000000000000000
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χ928-808-4800004-8-8-48-4-4-40000000000004-84440000000000000000000000000000000000000000000000000000000000000000000
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χ958-80-48-400−4i34i3-844-42-42200−4i34i32i3−2i3002i3−2i32i3−2i34-24-2-20000000000000000000000000000000000000000000000000000000000000000000
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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
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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).