Finite Group Databasebeta

← Group #72229143

Character table — Group #72229143

Order 5832.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
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order123366363333333366666666333333336666666633663333333333333336666666666666662244446666666612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ51-111-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i11-1-111-1-1i−ii−iiii−i−i−iiii−i−i−i
χ61-111-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii11-1-111-1-1−ii−ii−i−i−iiii−i−i−iiii
χ71-111-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-1-111-1-111i−i−iiiii−i−i−i−i−i−iiii
χ81-111-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-1-111-1-111−iii−i−i−i−iiiiiii−i−i−i
χ9222222222222222-12-12222222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12200002-12-1-1-1-1-10000000000000000
χ10222222222222222-12-12222222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-20000-21-2111110000000000000000
χ1122222222222222-12-12222222-1-1-1-12222-1-1-1-12222-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1220000-12-12-1-1-1-10000000000000000
χ1222222222222222-12-12222222-1-1-1-12222-1-1-1-12222-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-2-200001-21-211110000000000000000
χ1322222222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-12222-1-1-1-1220000-1-1-1-12-12-10000000000000000
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χ1522222222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-12-120000000000000000
χ1622222222222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-12222-2-2000011111-21-20000000000000000
χ1722222222222-1-1-12222222-1-1-122222-1-1-122222-1-1-12222-1-1-1-12-1-12-1-1-12-1-1-1-1-1-1-12-1-12-1-1-12-1-1-1000022000000000022000000-1-1-1-1-1-1
χ1822222222222-1-1-12222222-1-1-122222-1-1-122222-1-1-12222-1-1-1-12-1-12-1-1-12-1-1-1-1-1-1-12-1-12-1-1-12-1-1-10000-2-20000000000-2-2000000111111
χ1922222222-1-1-12222222-1-1-12222-1-1-122222-1-1-122222222-12-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1002200000000002200-1-1-1-1-1-1000000
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χ212-222-2-22-22222222-1-21-2-2-2-2-2-22222-1-1-1-1-2-2-2-21111-1-1112222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111112-200002-1-21-1-1110000000000000000
χ222-222-2-22-22222222-1-21-2-2-2-2-2-22222-1-1-1-1-2-2-2-21111-1-1112222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111-220000-212-111-1-10000000000000000
χ232-222-2-22-2222222-121-2-2-2-2-2-2-2-1-1-1-122221111-2-2-2-2-1-1112-1-1-1222-1-1-1-1-1-1-1-1-2111-2-2-2111111112-20000-121-2-1-1110000000000000000
χ242-222-2-22-2222222-121-2-2-2-2-2-2-2-1-1-1-122221111-2-2-2-2-1-1112-1-1-1222-1-1-1-1-1-1-1-1-2111-2-2-211111111-2200001-2-1211-1-10000000000000000
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χ272-222-2-22-2222222-1-111-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-121-22-1-1-1-1-1-1-1-1-1-12222-21111111111-2-2-2-22-20000-1-111-121-20000000000000000
χ282-222-2-22-2222222-1-111-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-121-22-1-1-1-1-1-1-1-1-1-12222-21111111111-2-2-2-2-22000011-1-11-2-120000000000000000
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χ3544444444444-2-2-2-2-2-2-2444-2-2-2-2-2-2-2-2111-2-2-2-2-21114-24-2-2111-2114-2-2-2-2111-2111-2114-2-2-2-2111000000000000000000000000000000
χ3644444444444-2-2-2-2-2-2-2444-2-2-2-2-2-2-2-2111-2-2-2-2-2111-24-24-2111-211-21114-2-2-2-2111-211-21114-2-2-2000000000000000000000000000000
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χ4644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2111-2111-21114-24-211−1−3i32−1+3i321−1+3i32−1−3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i321−1+3i32−1−3i32-2-21111−1−3i32−1+3i32000000000000000000000000000000
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χ4844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2111-2111-2111-24-2411−1−3i32−1+3i321−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i321−1−3i32−1+3i3211−1+3i32−1−3i32-2-211000000000000000000000000000000
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χ826-66-3-63-33000-36-3060-60003-630000-3-36-3000033-6300000000000000000000000000000000000000−2i2i0000000000i−i000000i−2ii−i2i−i
χ836-66-3-63-33000-3-36060-600033-60000-3-3-360000333-6000000000000000000000000000000000000002i−2i0000000000−ii000000−i−i2iii−2i
χ846-66-3-63-33000-3-36060-600033-60000-3-3-360000333-600000000000000000000000000000000000000−2i2i0000000000i−i000000ii−2i−i−i2i
χ856-6-363-6-336-3-300060-60-633000-36-3-300003-63300000000000000000000000000000000000000002i−2i0000000000−ii002i−i−i−2iii000000
χ866-6-363-6-336-3-300060-60-633000-36-3-300003-6330000000000000000000000000000000000000000−2i2i0000000000i−i00−2iii2i−i−i000000
χ876-6-363-6-33-36-300060-603-63000-3-36-3000033-6300000000000000000000000000000000000000002i−2i0000000000−ii00−i2i−ii−2ii000000
χ886-6-363-6-33-36-300060-603-63000-3-36-3000033-630000000000000000000000000000000000000000−2i2i0000000000i−i00i−2ii−i2i−i000000
χ896-6-363-6-33-3-3600060-6033-6000-3-3-360000333-600000000000000000000000000000000000000002i−2i0000000000−ii00−i−i2iii−2i000000
χ906-6-363-6-33-3-3600060-6033-6000-3-3-360000333-60000000000000000000000000000000000000000−2i2i0000000000i−i00ii−2i−i−i2i000000
χ91121212-612-6-6-600012-6-60-60-600012-6-600003-63300003-6330000000000000000000000000000000000000000000000000000000000000000
χ92121212-612-6-6-6000-612-60-60-6000-612-6000033-63000033-630000000000000000000000000000000000000000000000000000000000000000
χ93121212-612-6-6-6000-6-6120-60-6000-6-6120000333-60000333-60000000000000000000000000000000000000000000000000000000000000000
χ941212-612-612-6-612-6-6000-60-6012-6-60003-63300003-63300000000000000000000000000000000000000000000000000000000000000000000
χ951212-612-612-6-6-612-6000-60-60-612-600033-63000033-6300000000000000000000000000000000000000000000000000000000000000000000
χ961212-612-612-6-6-6-612000-60-60-6-612000333-60000333-600000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-6-126-6600012-6-60-606000-126600003-6330000-36-3-30000000000000000000000000000000000000000000000000000000000000000
χ9812-1212-6-126-66000-612-60-6060006-126000033-630000-3-36-30000000000000000000000000000000000000000000000000000000000000000
χ9912-1212-6-126-66000-6-6120-60600066-120000333-60000-3-3-360000000000000000000000000000000000000000000000000000000000000000
χ10012-12-6126-12-6612-6-6000-6060-12660003-6330000-36-3-300000000000000000000000000000000000000000000000000000000000000000000
χ10112-12-6126-12-66-612-6000-60606-12600033-630000-3-36-300000000000000000000000000000000000000000000000000000000000000000000
χ10212-12-6126-12-66-6-612000-606066-12000333-60000-3-3-3600000000000000000000000000000000000000000000000000000000000000000000
χ1033636-18-18-18-1899000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10436-36-18-1818189-9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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