Finite Group Databasebeta

← Group #11878875

Character table — Group #11878875

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222222224444444444444444444444444444444444444444444444444444444444448888161616161616161616161616161616161818181836363636363672727272
order122233334444446666666666668888121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444441212121212121212121212121212121222444488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ911111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-11-11-1
χ1011111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-11-11
χ1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-1111-1-1-11-11
χ1211111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1111-1-1-1111-11-1
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χ1411111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1111-111-1-1-111-1
χ1511111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-111111111-1-1-1-111-1-1-11-1-111-111-1
χ1611111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-111111111-1-1-1-1-1-1111-111-1-11-1-11
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χ362222-12-1-1-2-2-2-222-1-122-1-1-1-1-12-1-1-2-22211-2-2111111-2-21111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-222-21-211-12-1-1-12-1-11-21100000000000000
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χ392222-1-12-1222222-1-1-1-122-1-1-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-2111122-2-2-1-12-1-1-12-111-2111-2100000000000000
χ402222-1-12-1222222-1-1-1-122-1-1-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-2-22211-2111-21-1-12-1-1-12-100000000000000
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χ7644-4-4-24-2-2-440000-224-4-22-222-422−222222−222-2-442-22-2000000000000000022−2−2−22−22222222−2−222−2−2−2−2222222−22−22−2−222−2−2220000000000000000000000000000000000
χ7744-4-4-2-24-24-40000-22-224-4-2222-4222−2222−22-22-224-4-220000000000000000−2−222−2−2222222−22−22−2−222−2−222−2−2222222−22−22−2−2220000000000000000000000000000000000
χ7844-4-4-2-24-24-40000-22-224-4-2222-42−2222−2222-22-224-4-22000000000000000022−2−222−2−2−22−22222222−2−222−2−222−2−2−22−22222222−2−20000000000000000000000000000000000
χ7944-4-4-2-24-2-440000-22-224-4-2222-4222−22−22222-22-2-442-20000000000000000−2−222−2−2222222−22−22−2−22222−2−222−2−2−22−22222222−2−20000000000000000000000000000000000
χ8044-4-4-2-24-2-440000-22-224-4-2222-42−222222−222-22-2-442-2000000000000000022−2−222−2−2−22−22222222−2−2−2−222−2−2222222−22−22−2−2220000000000000000000000000000000000
χ8144-4-4-2-2-244-40000-22-22-224-4222-422−2222−22-22-22-224-40000000000000000−2−222−2−222−2−2222222−22−22−2−222−2−222−2−2222222−22−220000000000000000000000000000000000
χ8244-4-4-2-2-244-40000-22-22-224-4222-4−2222−2222-22-22-224-4000000000000000022−2−222−2−222−2−2−22−22222222−2−222−2−222−2−2−22−2222220000000000000000000000000000000000
χ8344-4-4-2-2-24-440000-22-22-224-4222-422−22−22222-22-22-2-440000000000000000−2−222−2−222−2−2222222−22−2222−2−222−2−222−2−2−22−2222220000000000000000000000000000000000
χ8444-4-4-2-2-24-440000-22-22-224-4222-4−222222−222-22-22-2-44000000000000000022−2−222−2−222−2−2−22−222222−2−222−2−222−2−2222222−22−220000000000000000000000000000000000
χ854-44-44444004-400-44-44-44-44-4-4-4-40000000000004-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ864-44-4444400-4400-44-44-44-44-4-4-4-4000000000000-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
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χ944-44-4-24-2-200-44002-2-442-22-22-4220000000000002-2-442-22-200000000−i6i6−i6i60000−i6i6−i6i6i6−i6i6−i6i6−i6i6−i60000i6−i6i6−i6−i6i6−i6i60000000000000000000000000000000000
χ954-44-4-2-24-2004-4002-22-2-442-222-42000000000000-22-224-4-2200000000i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i60000000000000000000000000000000000
χ964-44-4-2-24-2004-4002-22-2-442-222-42000000000000-22-224-4-2200000000−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i60000000000000000000000000000000000
χ974-44-4-2-24-200-44002-22-2-442-222-420000000000002-22-2-442-200000000i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i60000000000000000000000000000000000
χ984-44-4-2-24-200-44002-22-2-442-222-420000000000002-22-2-442-200000000−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i60000000000000000000000000000000000
χ994-44-4-2-2-24004-4002-22-22-2-44222-4000000000000-22-22-224-400000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i60000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1004-44-4-2-2-24004-4002-22-22-2-44222-4000000000000-22-22-224-400000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i60000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1014-44-4-2-2-2400-44002-22-22-2-44222-40000000000002-22-22-2-4400000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i60000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1024-44-4-2-2-2400-44002-22-22-2-44222-40000000000002-22-22-2-4400000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i60000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1034-4-44444400004-4-4-4-4-4-4-4-4-44444000000000000000000004-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4444440000-44-4-4-4-4-4-4-4-4444400000000000000000000-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-444-2-2-200004-4-4-42222224-2-2-2000000000000000000004-4-22-22-220000−2i32i32i3−2i3−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ1064-4-444-2-2-200004-4-4-42222224-2-2-2000000000000000000004-4-22-22-2200002i3−2i3−2i32i32i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
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χ1084-4-444-2-2-20000-44-4-42222224-2-2-200000000000000000000-442-22-22-2000000000000000000002i3−2i3−2i32i32i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000
χ1094-4-44-24-2-200004-422-4-42222-24-2-200000000000000000000-224-4-22-22−2i32i32i3−2i30000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ1104-4-44-24-2-200004-422-4-42222-24-2-200000000000000000000-224-4-22-222i3−2i3−2i32i300002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ1114-4-44-24-2-20000-4422-4-42222-24-2-2000000000000000000002-2-442-22-20000000000000000−2i32i32i3−2i30000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000
χ1124-4-44-24-2-20000-4422-4-42222-24-2-2000000000000000000002-2-442-22-200000000000000002i3−2i3−2i32i300002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000
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χ1144-4-44-2-24-200004-42222-4-422-2-24-200000000000000000000-22-224-4-222i3−2i3−2i32i3−2i32i32i3−2i300002i3−2i3−2i32i300000000000000000000000000000000000000000000000000
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χ1164-4-44-2-24-20000-442222-4-422-2-24-2000000000000000000002-22-2-442-200000000000000002i3−2i3−2i32i3−2i32i32i3−2i300002i3−2i3−2i32i30000000000000000000000000000000000
χ1174-4-44-2-2-2400004-4222222-4-4-2-2-2400000000000000000000-22-22-224-4−2i32i32i3−2i3−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000
χ1184-4-44-2-2-2400004-4222222-4-4-2-2-2400000000000000000000-22-22-224-42i3−2i3−2i32i32i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000
χ1194-4-44-2-2-240000-44222222-4-4-2-2-24000000000000000000002-22-22-2-440000000000000000−2i32i32i3−2i3−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000
χ1204-4-44-2-2-240000-44222222-4-4-2-2-24000000000000000000002-22-22-2-4400000000000000002i3−2i3−2i32i32i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000

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