Finite Group Databasebeta

← Group #11867017

Character table — Group #11867017

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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χ3111111111111111111111111111111111-1-1-1-111-1-11111-11-1-111-1-1-1111111111111111111111111111111111-1-1-1-111-1-11111-11-1-111-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
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χ561111111111111111111111111111111111111-1-111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111111
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χ591111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
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χ874444-2-244-2-2-2-2-2-21111-2-2-2-2-4222211-1-1-1-1000000000000000000000-4-4-4-422-4-4222222-1-1-1-122224-2-2-2-2-1-11111000000000000000000000
χ884444-2-2-4-4-2-2-2-2-2-2111122220−2i32i300-1-1i3i3−i3−i3000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-202i3−2i30011−i3−i3i3i3000000000000000000000
χ894444-2-2-4-4-2-2-2-2-2-21111222202i3−2i300-1-1−i3−i3i3i3000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20−2i32i30011i3i3−i3−i3000000000000000000000
χ9044-4-444004-4-4-44-444-4-4000000000000000000000000000000000000-4-444-4-400-4444-44-4-444000000000000000000000000000000000000
χ9144-4-44-2004-422-2-4-2-22200000000000000000000023−230000000000000-4-444-4200-44-2-22422-2-2000000000000000000000−23230000000000000
χ9244-4-44-2004-422-2-4-2-222000000000000000000000−23230000000000000-4-444-4200-44-2-22422-2-200000000000000000000023−230000000000000
χ9344-4-4-2400-22-4-442-2-22200000000000000000000000i6−i6i6−i6000000000-4-4442-4002-244-4-222-2-200000000000000000000000−i6i6−i6i6000000000
χ9444-4-4-2400-22-4-442-2-22200000000000000000000000−i6i6−i6i6000000000-4-4442-4002-244-4-222-2-200000000000000000000000i6−i6i6−i6000000000
χ954-44-44-24-4-4-42-224-222-2-224-400000-220000000000000000000000000-44-44-42-4444-22-2-42-2-222-2-44000002-20000000000000000000000000
χ964-44-44-2-44-4-42-224-222-22-2-44000002-20000000000000000000000000-44-44-424-444-22-2-42-2-22-224-400000-220000000000000000000000000
χ974-44-4-244-422-44-4-2-222-24-4-2200000-220000000000000000000000000-44-442-4-44-2-24-4422-2-22-442-2000002-20000000000000000000000000
χ984-44-4-2-24-4222-22-21-1-11-22-22000001-13-3-33000000000000000000000-44-4422-44-2-2-22-22-111-12-22-200000-11-333-3000000000000000000000
χ994-44-4-2-24-4222-22-21-1-11-22-22000001-1-333-3000000000000000000000-44-4422-44-2-2-22-22-111-12-22-200000-113-3-33000000000000000000000
χ1004-44-4-2-2-44222-22-21-1-112-22-2000−2i32i3-11i3−i3i3−i3000000000000000000000-44-44224-4-2-2-22-22-111-1-22-220002i3−2i31-1−i3i3−i3i3000000000000000000000
χ1014-44-4-2-2-44222-22-21-1-112-22-20002i3−2i3-11−i3i3−i3i3000000000000000000000-44-44224-4-2-2-22-22-111-1-22-22000−2i32i31-1i3−i3i3−i3000000000000000000000
χ1024-4-444400-444-4-4-44-44-4000000000000000000000000000000000000-444-4-4-4004-4-4444-44-44000000000000000000000000000000000000
χ1034-4-444-200-44-222-4-22-2200000000000000000−2i32i300000000000000000-444-4-42004-42-2-242-22-2000000000000000002i3−2i300000000000000000
χ1044-4-444-200-44-222-4-22-22000000000000000002i3−2i300000000000000000-444-4-42004-42-2-242-22-200000000000000000−2i32i300000000000000000
χ1054-4-44-24002-24-4-42-22-2200000000000000000000000i6−i6−i6i6000000000-444-42-400-22-444-22-22-200000000000000000000000−i6i6i6−i6000000000
χ1064-4-44-24002-24-4-42-22-2200000000000000000000000−i6i6i6−i6000000000-444-42-400-22-444-22-22-200000000000000000000000i6−i6−i6i6000000000
χ10788-8-8-4-400-4444-4422-2-2000000000000000000000000000000000000-8-88844004-4-4-44-4-2-222000000000000000000000000000000000000
χ1088-8-88-4-4004-4-44442-22-2000000000000000000000000000000000000-888-84400-444-4-4-4-22-22000000000000000000000000000000000000

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