Finite Group Databasebeta

← Group #13170643

Character table — Group #13170643

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444666666666666888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636363636363636363636363636363636108108
order124423334666121212121212333666666661212121212121212121212224466661212121236666612121212121222446666666666121212121212121212126666661212121212122244666688121212122424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-11-11111-1-111111111-1-111111-111-1-11-111-1-11-11-111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-11-1111-1-111111111-1-1111111-11-1-111-11-1-111-11-11-1-111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-11-111-1-1-11-11-1-111-1-1-1-111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-11-1-1111-11-111-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ911-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-111-11-111-1-111-1-11-1-1-1-111111-1-111-1-11-1111111-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1111-1-11-1-1-11111-1-11-1
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-111-11-111-1-111-1-11-1-1-1-111111-1-11-1-111-111-1-111-1-11-1-1-11111-1-11-111-1-1-11-1-11111-1-11111-11-1-1-1-1-1-111-11
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-111-11-111-1-111-1-11-1-1-1-111111-1-1-111-11-1-1-11111-1-11-111-1-111-1-1-11-1-1111-111-1-1-1-111-1-1-1-1-111111-1-111-11
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-111-11-111-1-111-1-11-1-1-1-111111-1-1-1-1111-1-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1-1111111-111-1-1-1111-111-1-111-1-11-1
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χ1511-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-11-11-11-1-111-1-1111-1-1-1-111111-1-1-111-1-11-1-111-1-111-1111-1-1-1-111-11-1-1111-111-1-111-1-11111-11-1-1-1-1-1-1111-1
χ1611-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-11-11-11-1-111-1-1111-1-1-1-111111-1-1-1-111-11-1-1-1-1-1-111-111111-1-111-1-1-1-1-1-11111111-1-1111-1-11-1-1-11111-1-1-11
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χ202222222-1222-12222-1-12-1-122-1-1-12-1-12-1-1-122-1-1-1-12-2-2-2-2-2-21111-2-2-12-1-1-1-12-1-1-1-1-10-20-21-200111111-21001111110-200110-20011020200-1-10000-1-1000000
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χ22222222-1222-1222-1-122-12-12-12-1-1-12-1-12-1-1-1-122-1-122222-1-12222-1-1-1-12-1-1-1-12-1-1-1-1-20-202-11100-1-1-1-1-121100-1-1-1-1-201100-201100-20-201100001100000000
χ23222222-1222-1222-1-122-12-12-12-1-1-12-1-12-1-1-1-122-1-12-2-2-2-211-2-2-2-211-1-12-1-1-1-12-1-1-1-12020-21-1-10011111-2-1-100111120-1-10020-1-100-20-201100001100000000
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χ2522222-1222-122-1-12222-1-12-12222-1-122222-1-1-1-122-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1222200222200000022220000-1-1-1-1-1-1-1-1-1-1-1-100000000220000-1-1-1-100
χ2622222-1222-122-1-12222-1-12-12222-1-122222-1-1-1-122-1000000000000-1-1-1-1-1-1-1-1-1-1-1-12-22-20022-2-200000022-2-20000-11-1-111-11-1-11100000000-2-20000111100
χ2722222-1222-122-1-12222-1-12-12222-1-122222-1-1-1-122-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-22-2200-2-222000000-2-22200001-111-1-11-111-1-100000000-2-20000111100
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χ292222-2222-2222222222222-2-2-2-2-2222-2-2-2-2222222-22-2-2222-2-2-2-2222-2-2-2-22-2-2-2-22200002-2000022-2-2-220000-2-22200000000000000000000000000000000
χ302222-2222-2222222222222-2-2-2-2-2222-2-2-2-2222222-2-222-2-2-22222-2-22-2-2-2-22-2-2-2-2220000-220000-2-2222-2000022-2-200000000000000000000000000000000
χ312222-222-1-222-12222-1-12-1-1-2-21112-1-1-211122-1-1-1-1-22-2-2222111122-1-2111-1-2111-1-10000-1-200−i3i3-1-111-2-100−i3i311-1-10000−i3i30000−i3i3000000−i3i30000−i3i3000000
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χ332222-222-1-222-12222-1-12-1-1-2-21112-1-1-211122-1-1-1-1-2-222-2-2-2-1-1-1-1-2-2-1-2111-1-2111-1-100001200−i3i311-1-12100−i3i3-1-1110000−i3i30000−i3i3000000i3−i30000i3−i3000000
χ342222-222-1-222-12222-1-12-1-1-2-21112-1-1-211122-1-1-1-1-2-222-2-2-2-1-1-1-1-2-2-1-2111-1-2111-1-100001200i3−i311-1-12100i3−i3-1-1110000i3−i30000i3−i3000000−i3i30000−i3i3000000
χ352222-22-12-22-1222-1-122-12-1-21-211-12-11-211-1-122-1-1-22-2-22-1-1-2-2-2-2-1-1-11-211-11-211-1-1000021−i3i300-1-11112−i3i30011-1-100−i3i30000−i3i3000000−i3i30000−i3i300000000
χ362222-22-12-22-1222-1-122-12-1-21-211-12-11-211-1-122-1-1-22-2-22-1-1-2-2-2-2-1-1-11-211-11-211-1-1000021i3−i300-1-11112i3−i30011-1-100i3−i30000i3−i3000000i3−i30000i3−i300000000
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χ3922-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2222222-2-2-2-2-2-200002200002222-2-20000-2-2-2-200000000000000000000000000000000
χ4022-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-20000-2-20000-2-2-2-2220000222200000000000000000000000000000000
χ4122-2-2222-1-222-1-2-2-2-2112-1-122-1-1-12-1-1-2111-2-21111-222-2-222-1-111-2-2-12-1-1-1-1-2111110000-1200−i3i3-1-1-1-1-2100i3−i311110000−i3i30000i3−i3000000i3−i30000−i3i3000000
χ4222-2-2222-1-222-1-2-2-2-2112-1-122-1-1-12-1-1-2111-2-21111-222-2-222-1-111-2-2-12-1-1-1-1-2111110000-1200i3−i3-1-1-1-1-2100−i3i311110000i3−i30000−i3i3000000−i3i30000i3−i3000000
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χ5422-2-2-22-1222-12-2-211-2-2-12-1-21-211-12-1-12-1-111-2-21122-22-2-1-1-2-22211-11-211-1-12-1-111-2020211100-1-111-1-2-1-100-1-111-20110020-1-100-2020110000-1-100000000
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χ984-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i44400000-4-4-40000−4i4i−4i4i−4i4i000000000000040000-40000−4i4i00000000000000000000000000000000000000000000000000000000
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χ1208-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-66-2-2-2006i−6i−2i2i−2i2i−2i2i0000000000000-1003-3100−3i3ii−i00000000000000000000000000000000000000000000000000000000

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