Finite Group Databasebeta

← Group #11888587

Character table — Group #11888587

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222222222444444444444444444488888888888888888888888888888888888888888161616161616161636363636363636363636727272
order12223333444466666666666622212121212121212121212121212121212244666666666666881212121212121212242424242424242424242424242424246666121212122444448888444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1
χ41111111111111111111111111111111111111111111-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111111-1-1111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11
χ61111111111111111111111111-1-1111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1
χ71111111111111111111111111-1-11111111111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1
χ81111111111111111111111111-1-11111111111111111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ911111111-1-111111111111111-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11-111-1-11-11
χ1011111111-1-111111111111111-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-11-1-111-11-1
χ1111111111-1-111111111111111-111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1111-1-1-1111-1-1
χ1211111111-1-111111111111111-111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1-1-1111-1-1-111
χ1311111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1-11-1-1-111-111
χ1411111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1111-1111-1-11-1-1
χ1511111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-111-1-1-11-1
χ1611111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-11-1-1111-11
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χ2022222222-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20002222000000000000000000000000000000000000000000-22002-20000000
χ2122222-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000000
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χ2422222-1-1-122222-1-1-12-1-1-12-1-1-12-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-22-1-1-1-2-211111122-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-21110000000000000
χ2522222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-222-2-211111122-1-1-1-1-1-12-2-2-211122-1-1-1-1-1-12-2-2-211111122-1-1-1-1-1-1-2-21111112-1-1-1-21110000000000000
χ2622222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-222-2-211111122-1-1-1-1-1-1-22-2-211122-1-1-1-1-1-1-22-2-2111111-2-211111122-1-1-1-1-1-1-21112-1-1-10000000000000
χ2722222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-2-2-2-2-211111122-1-1-1-1-1-12-22-2111-2-2111111-2222-1-1-1-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-21110000000000000
χ2822222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-2-2-2-2-211111122-1-1-1-1-1-1-222-2111-2-21111112-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-21112-1-1-10000000000000
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χ302222-12-1-12222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-2-22-12-1-1-1-122-1-1-1-1-2-2-1-122-1-1-1-111-2-2111111-2-211111-2111-2110000000000000
χ312222-12-1-12222-12-1-1-12-1-1-12-1-12-2-2-1-122-1-1-1-1-1-122-1-1-1-122-2-12-1-111-2-21111-2-211-2-2111111-2-2111111-2-21111-12-1-1-12-1-10000000000000
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χ342222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-22211-2-21111-1-122-1-1-1-1-22-21-211-1-122-1-1-1-1-2211-2-2111111-2-21111-1-122-1-1-1-11-211-12-1-10000000000000
χ352222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-2-2-211-2-21111-1-122-1-1-1-12-221-21111-2-21111-22-1-122-1-1-1-111-2-21111-1-122-1-1-1-1-12-1-11-2110000000000000
χ362222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-2-2-211-2-21111-1-122-1-1-1-1-2221-21111-2-211112-2-1-122-1-1-1-1-1-122-1-1-1-111-2-211111-211-12-1-10000000000000
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χ382222-1-12-12222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-1-2-22-1-12-1-1-1-1-122-1-1-2-2-1-1-1-122-1-11111-2-2111111-2-21111-2111-210000000000000
χ392222-1-12-12222-1-12-1-1-12-1-1-12-12-2-2-1-1-1-122-1-1-1-1-1-122-1-122-2-1-12-11111-2-211-2-21111-2-2111111-2-2111111-2-211-1-12-1-1-12-10000000000000
χ402222-1-12-12222-1-12-1-1-12-1-1-12-12-2-2-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-1-12-11111-2-211221111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000
χ412222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-2221111-2-211-1-1-1-122-1-12-2-211-21-1-1-1-122-1-12-21111-2-211-1-1-1-122-1-11111-2-211-1-12-111-210000000000000
χ422222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-2221111-2-211-1-1-1-122-1-1-22-211-21-1-1-1-122-1-1-221111-2-2111111-2-211-1-1-1-122-1-111-21-1-12-10000000000000
χ432222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-2-2-21111-2-211-1-1-1-122-1-12-2211-211111-2-211-22-1-1-1-122-1-11111-2-211-1-1-1-122-1-1-1-12-111-210000000000000
χ442222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-2-2-21111-2-211-1-1-1-122-1-1-22211-211111-2-2112-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-21111-21-1-12-10000000000000
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χ462222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-2-22-1-1-12-1-1-1-1-1-122-2-2-1-1-1-1-1-122111111-2-2111111-2-2111-2111-20000000000000
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χ482222-1-1-122222-1-1-12-1-1-12-1-1-122-2-2-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-1-1-12111111-2-222111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-20000000000000
χ492222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-222111111-2-2-1-1-1-1-1-1222-2-2111-2-1-1-1-1-1-1222-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-12111-20000000000000
χ502222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-222111111-2-2-1-1-1-1-1-122-22-2111-2-1-1-1-1-1-122-22111111-2-2111111-2-2-1-1-1-1-1-122111-2-1-1-120000000000000
χ512222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-2-2-2111111-2-2-1-1-1-1-1-1222-22111-2111111-2-2-22-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122-1-1-12111-20000000000000
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χ934-4-44-24-2-2−4i4i00-24-2-22-4222-4220002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000000−i6i600−i6i6i6−i66−6006−6−66000000000000000000000
χ944-4-44-2-24-24i−4i00-2-24-222-4222-42000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000i6−i6−i6i600i6−i66−6−66006−6000000000000000000000
χ954-4-44-2-24-24i−4i00-2-24-222-4222-42000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000−i6i6i6−i600−i6i6−666−600−66000000000000000000000
χ964-4-44-2-24-2−4i4i00-2-24-222-4222-420002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000i6−i6−i6i600i6−i6−666−600−66000000000000000000000
χ974-4-44-2-24-2−4i4i00-2-24-222-4222-420002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000−i6i6i6−i600−i6i66−6−66006−6000000000000000000000
χ984-4-44-2-2-244i−4i00-2-2-24222-4222-4000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000000i6−i6i6−i6−i6i6006−66−6−6600000000000000000000000
χ994-4-44-2-2-244i−4i00-2-2-24222-4222-4000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000000−i6i6−i6i6i6−i600−66−666−600000000000000000000000
χ1004-4-44-2-2-24−4i4i00-2-2-24222-4222-40002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000000i6−i6i6−i6−i6i600−66−666−600000000000000000000000
χ1014-4-44-2-2-24−4i4i00-2-2-24222-4222-40002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000000−i6i6−i6i6i6−i6006−66−6−6600000000000000000000000
χ10288-8-88-4-4-40000-84448-4-4-4-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-4-400004-844-48-4-44-844000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48-4000044-84-4-48-444-84000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-480000444-8-4-4-48444-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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