Finite Group Databasebeta

← Group #11794583

Character table — Group #11794583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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χ944-4-444-44-44-20000-4-444-422-2-4-2224-2-222-2-2-222000000000000000000000000000000004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ954-4-444-44-44-20000-4-444-422-2-4-2224-2-222-2-2-22200000000000000000000000000000000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ964-4-444-44-4-24000022-2-22-4-4424-4-4-24-222-2-2-2220000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2−i2i2−i2i2i2−i2000000000000000000
χ974-4-444-44-4-24000022-2-22-4-4424-4-4-24-222-2-2-22200000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2i2−i2i2−i2−i2i2000000000000000000
χ984-4-4-444-444-24-4-44-4-44-442224-2-2-2-42-222-222-2-24-4-4-222-240000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-444-444-2-444-4-4-44-442224-2-2-2-42-222-222-2-2-4442-2-22-400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-444-44-244-4-4422-22-2-4-4-4-24442-4-222-222-2-2-2224-4-44-20000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-24-4-4422-22-2222-2-2-2-2221-1-11-1-111-222-222-2-200000000001-1-113-3-33-333-3000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-24-4-4422-22-2222-2-2-2-2221-1-11-1-111-222-222-2-200000000001-1-11-333-33-3-33000000000000000000000000000000000000000000
χ1034-4-4-444-44-2-2-444-422-22-2222-2-2-2-2221-1-11-1-1112-2-22-2-22200−2i32i32i3−2i30000-111-1i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1044-4-4-444-44-2-2-444-422-22-2222-2-2-2-2221-1-11-1-1112-2-22-2-222002i3−2i3−2i32i30000-111-1−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ105888-88-8-8-8-4-40000-4-4-444-4-444-444442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-4444-4-444444-4-4-422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-400004-44-4-44-4-4444-4442-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-88-8-4-4000044-4-4444-44-444-4-42-2-2222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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