Finite Group Databasebeta

← Group #11884523

Character table — Group #11884523

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222222222224444444444444444444444444444444444444444444444444444444444444888816161616161616161616161616161616363636363636363672727272
order1222333344446666666666662666666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444412121212121212121212121212121212222444442488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111
χ5111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111111-1-11-11-1-1
χ6111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-111
χ7111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111
χ8111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-11111111-1-1-1
χ911111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-11111-1-1-11-1
χ1011111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-11
χ1111111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-11
χ1211111111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1111-1
χ1311111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-1111111-111-1-1-11-1-11
χ1411111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-11-1-1111-111-1
χ1511111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-111111111-1-1-1-1111-1-1-1-111-11-1
χ1611111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-11-11
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χ312222-12-1-12222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111112-22-2-12-1-11-211-12-1-11-211000000000000
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χ352222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-211-2-21111-2-222-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12-2-22-12-1-11-2111-211-12-1-1000000000000
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χ392222-1-12-12222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-211112-22-2-1-12-111-21-1-12-111-21000000000000
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χ412222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-21111-2-21122-2-2-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111122-2-2-1-12-1-1-12-111-2111-21000000000000
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χ432222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-21111-2-211-2-222-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-12-2-22-1-12-111-2111-21-1-12-1000000000000
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χ7644-4-4-2-24-20000-2-24-222-4222-420−2i32i32i3−2i300−2i32i300−22220000000000000000−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i622−2−222−2−2−22−22222222−2−200000000000000000000000000000000
χ7744-4-4-2-24-20000-2-24-222-4222-4202i3−2i3−2i32i3002i3−2i30022−220000000000000000−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i6−2−222−2−2222222−22−22−2−22200000000000000000000000000000000
χ7844-4-4-2-24-20000-2-24-222-4222-4202i3−2i3−2i32i3002i3−2i300−22220000000000000000i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i622−2−222−2−2−22−22222222−2−200000000000000000000000000000000
χ7944-4-4-2-2-240000-2-2-24222-4222-40−2i32i3−2i32i32i3−2i3000022−220000000000000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i60000−2−222−2−222−2−2222222−22−2200000000000000000000000000000000
χ8044-4-4-2-2-240000-2-2-24222-4222-40−2i32i3−2i32i32i3−2i30000−22220000000000000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i6000022−2−222−2−222−2−2−22−22222200000000000000000000000000000000
χ8144-4-4-2-2-240000-2-2-24222-4222-402i3−2i32i3−2i3−2i32i3000022−220000000000000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i60000−2−222−2−222−2−2222222−22−2200000000000000000000000000000000
χ8244-4-4-2-2-240000-2-2-24222-4222-402i3−2i32i3−2i3−2i32i30000−22220000000000000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i6000022−2−222−2−222−2−2−22−22222200000000000000000000000000000000
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χ844-44-44444−4i4i00-4-4-4-44444-4-4-4-400000000000000000−4i4i−4i4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
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χ904-44-4-24-2-24i−4i002-422-24-2-22-42200000000000000000−2i2i4i−4i−2i2i−2i2i0000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6−66−660000−66−666−66−600000000000000000000000000000000
χ914-44-4-24-2-2−4i4i002-422-24-2-22-422000000000000000002i−2i−4i4i2i−2i2i−2i0000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6−66−660000−66−666−66−600000000000000000000000000000000
χ924-44-4-24-2-2−4i4i002-422-24-2-22-422000000000000000002i−2i−4i4i2i−2i2i−2i0000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i66−66−600006−66−6−66−6600000000000000000000000000000000
χ934-44-4-2-24-24i−4i0022-42-2-24-222-4200000000000000000−2i2i−2i2i4i−4i−2i2i0000i6−i6−i6i6−i6i6i6−i60000i6−i6−i6i66−66−6−66−6600006−66−600000000000000000000000000000000
χ944-44-4-2-24-24i−4i0022-42-2-24-222-4200000000000000000−2i2i−2i2i4i−4i−2i2i0000−i6i6i6−i6i6−i6−i6i60000−i6i6i6−i6−66−666−66−60000−66−6600000000000000000000000000000000
χ954-44-4-2-24-2−4i4i0022-42-2-24-222-42000000000000000002i−2i2i−2i−4i4i2i−2i0000i6−i6−i6i6−i6i6i6−i60000i6−i6−i6i6−66−666−66−60000−66−6600000000000000000000000000000000
χ964-44-4-2-24-2−4i4i0022-42-2-24-222-42000000000000000002i−2i2i−2i−4i4i2i−2i0000−i6i6i6−i6i6−i6−i6i60000−i6i6i6−i66−66−6−66−6600006−66−600000000000000000000000000000000
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χ994-44-4-2-2-24−4i4i00222-4-2-2-24222-4000000000000000002i−2i2i−2i2i−2i−4i4i0000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000−66−66−66−666−66−6000000000000000000000000000000000000
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χ1014-4-444444004-4-4-4-4-4-4-4-4-444440000000000000444400000000-4-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-2-2-2004-4-4222-42224-2-2-200000000000004-2-2-200000000-42220000000000000000000023−23−232323−23−232323−23−232300000000000000000000000000000000
χ1034-4-444-2-2-2004-4-4222-42224-2-2-200000000000004-2-2-200000000-422200000000000000000000−232323−23−232323−23−232323−2300000000000000000000000000000000
χ1044-4-444-2-2-200-44-4222-42224-2-2-20000000004-400-4222000000004-2-2-244-4-4-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ1054-4-444-2-2-200-44-4222-42224-2-2-2000000000-4400-4222000000004-2-2-2-4-44422-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ1064-4-44-24-2-2004-42-4222-422-24-2-20000000000000-24-2-2000000002-422000000000000000023−23−2323000023−23−2323−232323−2300000000000000000000000000000000
χ1074-4-44-24-2-2004-42-4222-422-24-2-20000000000000-24-2-2000000002-4220000000000000000−232323−230000−232323−2323−23−232300000000000000000000000000000000
χ1084-4-44-24-2-200-442-4222-422-24-2-20000000004-4002-42200000000-24-2-2-2-22244-4-4-2-222-2-222000000000000000000000000000000000000000000000000
χ1094-4-44-24-2-200-442-4222-422-24-2-2000000000-44002-42200000000-24-2-222-2-2-4-44422-2-222-2-2000000000000000000000000000000000000000000000000
χ1104-4-44-2-24-2004-422-4222-42-2-24-20000000000000-2-24-20000000022-42000000000000000023−23−2323−232323−23000023−23−232300000000000000000000000000000000
χ1114-4-44-2-24-2004-422-4222-42-2-24-20000000000000-2-24-20000000022-420000000000000000−232323−2323−23−23230000−232323−2300000000000000000000000000000000
χ1124-4-44-2-24-200-4422-4222-42-2-24-20000000004-40022-4200000000-2-24-2-2-222-2-22244-4-4-2-222000000000000000000000000000000000000000000000000
χ1134-4-44-2-24-200-4422-4222-42-2-24-2000000000-440022-4200000000-2-24-222-2-222-2-2-4-44422-2-2000000000000000000000000000000000000000000000000
χ1144-4-44-2-2-24004-4222-4222-4-2-2-240000000000000-2-2-2400000000222-4000000000000000023−23−232323−23−2323−232323−23000000000000000000000000000000000000
χ1154-4-44-2-2-24004-4222-4222-4-2-2-240000000000000-2-2-2400000000222-40000000000000000−232323−23−232323−2323−23−2323000000000000000000000000000000000000
χ1164-4-44-2-2-2400-44222-4222-4-2-2-240000000004-400222-400000000-2-2-24-2-222-2-222-2-22244-4-4000000000000000000000000000000000000000000000000
χ1174-4-44-2-2-2400-44222-4222-4-2-2-24000000000-4400222-400000000-2-2-2422-2-222-2-222-2-2-4-444000000000000000000000000000000000000000000000000

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