Finite Group Databasebeta

← Group #13152089

Character table — Group #13152089

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
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χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-11111-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1
χ61111-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111
χ71111-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111111-1-11111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
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χ872-2-22-222-2-22-2-222-12-1-2-2112-11-1-2211-111-1-1000000000000000000003−3−33-222-22-2-222-222-2-21-2122-1-1-21-112-2-1-11-1-11100000000000000000000−333−3
χ882-2-22-222-2-22-2-222-12-1-2-2112-11-1-2211-111-1-100000000000000000000−333−3-222-22-2-222-222-2-21-2122-1-1-21-112-2-1-11-1-111000000000000000000003−3−33
χ8944444444444444-2-2-2-2-2-2-2-21-2-2-2-21111111000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4-422222222-12222-1-1-1-1-1-1-1000000000000000000000000
χ904444-4-44444-4-4-4-4-2-2-2-2-2-2-2-212222111-1-1-1-1000000000000000000000000-4-4-4-444-4-4-4-4444422222222-1-2-2-2-2-1-1-11111000000000000000000000000
χ9144-4-40044-4-400004-2-4-224-42-20000-2220000000000000000000000000000-4-44400-4-4440000-4242-2-44-2200002-2-20000000000000000000000000000
χ9244-4-40044-4-40000-2424-4-22-4-20000-2220000000000000000000000000000-4-44400-4-44400002-4-2-442-24200002-2-20000000000000000000000000000
χ9344-4-40044-4-40000-2-22-22-222100001-1-13-33-3000000000000000000000000-4-44400-4-444000022-22-22-2-2-10000-111-33-33000000000000000000000000
χ9444-4-40044-4-40000-2-22-22-222100001-1-1-33-33000000000000000000000000-4-44400-4-444000022-22-22-2-2-10000-1113-33-3000000000000000000000000
χ954-44-4004-44-400004-2-42-2-442-200002-220000000000000000000000000000-44-4400-44-440000-424-224-4-220000-22-20000000000000000000000000000
χ964-44-4004-44-40000-242-442-2-4-200002-220000000000000000000000000000-44-4400-44-4400002-4-24-4-22420000-22-20000000000000000000000000000
χ974-44-4004-44-40000-2-222-22-2210000-11-13-3-33000000000000000000000000-44-4400-44-44000022-2-22-22-2-100001-11-333-3000000000000000000000000
χ984-44-4004-44-40000-2-222-22-2210000-11-1-333-3000000000000000000000000-44-4400-44-44000022-2-22-22-2-100001-113-3-33000000000000000000000000
χ994-4-444-44-4-4444-4-4-2-2-22222-21-22-22-1-1111-1-1000000000000000000000000-444-4-44-444-4-4-444222-2-2-2-22-12-22-211-1-1-111000000000000000000000000
χ1004-4-44-444-4-44-4-444-2-2-22222-212-22-2-1-11-1-111000000000000000000000000-444-44-4-444-444-4-4222-2-2-2-22-1-22-2211-111-1-1000000000000000000000000
χ101666666-3-3-3-3-3-3-3-3000000000000000000002222-1-1-1-1-1-1-1-1000000000000-6-6-6-6-6-63333333300000000000000000000-2-2-2-211111111000000000000
χ102666666-3-3-3-3-3-3-3-300000000000000000000-2-2-2-211111111000000000000-6-6-6-6-6-633333333000000000000000000002222-1-1-1-1-1-1-1-1000000000000
χ1036666-6-6-3-3-3-333330000000000000000000022-2-2-1-1-1-11111000000000000-6-6-6-6663333-3-3-3-300000000000000000000-2-2221111-1-1-1-1000000000000
χ1046666-6-6-3-3-3-3333300000000000000000000-2-2221111-1-1-1-1000000000000-6-6-6-6663333-3-3-3-30000000000000000000022-2-2-1-1-1-11111000000000000
χ10566-6-600-3-333−3i33i3−3i33i300000000000000000000002-2−i3i3−i3i3-1-111000000000000-6-6660033-3-33i3−3i33i3−3i30000000000000000000000-22i3−i3i3−i311-1-1000000000000
χ10666-6-600-3-333−3i33i3−3i33i30000000000000000000000-22i3−i3i3−i311-1-1000000000000-6-6660033-3-33i3−3i33i3−3i300000000000000000000002-2−i3i3−i3i3-1-111000000000000
χ10766-6-600-3-3333i3−3i33i3−3i300000000000000000000002-2i3−i3i3−i3-1-111000000000000-6-6660033-3-3−3i33i3−3i33i30000000000000000000000-22−i3i3−i3i311-1-1000000000000
χ10866-6-600-3-3333i3−3i33i3−3i30000000000000000000000-22−i3i3−i3i311-1-1000000000000-6-6660033-3-3−3i33i3−3i33i300000000000000000000002-2i3−i3i3−i3-1-111000000000000
χ1096-66-600-33-33−3i33i33i3−3i3000000000000000000002-200-1-111−i3i3−i3i3000000000000-66-66003-33-33i3−3i3−3i33i300000000000000000000-220011-1-1i3−i3i3−i3000000000000
χ1106-66-600-33-33−3i33i33i3−3i300000000000000000000-220011-1-1i3−i3i3−i3000000000000-66-66003-33-33i3−3i3−3i33i3000000000000000000002-200-1-111−i3i3−i3i3000000000000
χ1116-66-600-33-333i3−3i3−3i33i3000000000000000000002-200-1-111i3−i3i3−i3000000000000-66-66003-33-3−3i33i33i3−3i300000000000000000000-220011-1-1−i3i3−i3i3000000000000
χ1126-66-600-33-333i3−3i3−3i33i300000000000000000000-220011-1-1−i3i3−i3i3000000000000-66-66003-33-3−3i33i33i3−3i3000000000000000000002-200-1-111i3−i3i3−i3000000000000
χ1136-6-666-6-333-3-3-333000000000000000000000000−i3i3i3−i3−i3i3i3−i3000000000000-666-6-663-3-3333-3-3000000000000000000000000i3−i3−i3i3i3−i3−i3i3000000000000
χ1146-6-666-6-333-3-3-333000000000000000000000000i3−i3−i3i3i3−i3−i3i3000000000000-666-6-663-3-3333-3-3000000000000000000000000−i3i3i3−i3−i3i3i3−i3000000000000
χ1156-6-66-66-333-333-3-3000000000000000000000000−i3i3i3−i3i3−i3−i3i3000000000000-666-66-63-3-33-3-333000000000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000
χ1166-6-66-66-333-333-3-3000000000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000-666-66-63-3-33-3-333000000000000000000000000−i3i3i3−i3i3−i3−i3i3000000000000

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