Finite Group Databasebeta

← Group #13156601

Character table — Group #13156601

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1-111
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χ944-4-44-2-244-42222-4-4-24-2-2-2122-1-1-2122-224-4-22-2-222-200001-1-111-1-2211-1-100000000000000000000002i3−2i300−i3i3−i3i30000000000000000000000
χ954-4-44-2-24-442222-4-4-24-2-2-2122-1-1-2122-2-2-442-222-2-2200001-1-11-112-2-1-111000000000000000000000000003-3-330000000000000000000000
χ964-4-44-2-24-442222-4-4-24-2-2-2122-1-1-2122-2-2-442-222-2-2200001-1-11-112-2-1-11100000000000000000000000000-333-30000000000000000000000
χ978888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-40000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000
χ988888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-240000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000
χ9988-8-8-48-400-448-8-4444-82-4-42-2-4444-44-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4800-44-448-84-84-4-42-442-24-2-4440000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-400-44-44-444442222-22-2-2-22-2-2000006i−6i6i−6i00000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-400-44-44-444442222-22-2-2-22-2-200000−6i6i−6i6i00000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4004-4-884-444-82-4-4-224-4444-4-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48004-44-4-884-84-4-424-4-224-24-44000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4004-44-44-4444222-22-22-2-2-22-2000006i−6i−6i6i00000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4004-44-44-4444222-22-22-2-2-22-200000−6i6i6i−6i00000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-48-8444444-4-4-4222-2-2-2-222-2-224-44-4422-2-2-40000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4-88444444-4-4-4222-2-2-2-222-2-22-44-44-4-2-22240000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000

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