Finite Group Databasebeta

← Group #10830947

Character table — Group #10830947

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order1222222222223444466666666666666644888888881212121212121212242424242424242424242424242424244444444412121212121212121212121212121212244488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-11-11-1
χ1011111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-111-11-11
χ1111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-11-11
χ1211111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-1-1-1111-11-1
χ1311111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1111-1-11
χ1411111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-111-1-1-111-1
χ1511111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111-111-1
χ1611111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-111-1-11-1-11
χ172222222222222-2-2-2-2222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000
χ182222222222222-2-2-2-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-22200000000
χ19222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ21222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ22222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2322222222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-222200000000-2-2-22222-200000000000000000000000000000000000000002-22-200000000
χ2422222222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-222200000000-2-2-22222-20000000000000000000000000000000000000000-22-2200000000
χ2522222222-2-2-2-2-12222-1-1-1-1-1-111111111-1-2-22222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000
χ2622222222-2-2-2-2-12222-1-1-1-1-1-111111111-1-2-22222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000
χ2722222222-2-2-2-2-12222-1-1-1-1-1-111111111-1-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ2822222222-2-2-2-2-12222-1-1-1-1-1-111111111-1-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ29222-2-2-2-2222-2-2222-2-222-2-2-2-22222-2-2-2-222-20000000022-222-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ30222-2-2-2-2222-2-2222-2-222-2-2-2-22222-2-2-2-222-20000000022-222-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ31222-2-2-2-2222-2-22-2-22222-2-2-2-22222-2-2-2-22-2222-2-222-2-2-2-22-2-22222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ32222-2-2-2-2222-2-22-2-22222-2-2-2-22222-2-2-2-22-22-2-222-2-222-2-22-2-2222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ33222-2-2-2-2222-2-2-1-2-222-1-11111-1-1-1-11111-1-2222-2-222-2-211-111-1-1-1-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ34222-2-2-2-2222-2-2-1-2-222-1-11111-1-1-1-11111-1-2222-2-222-2-211-111-1-1-1-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ35222-2-2-2-2222-2-2-1-2-222-1-11111-1-1-1-11111-1-22-2-222-2-22211-111-1-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ36222-2-2-2-2222-2-2-1-2-222-1-11111-1-1-1-11111-1-22-2-222-2-22211-111-1-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ37222-2-2-2-22-2-222222-2-222-2-2-2-2-2-2-2-222222-220000000022-2-2-222-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ38222-2-2-2-22-2-222222-2-222-2-2-2-2-2-2-2-222222-220000000022-2-2-222-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ39222-2-2-2-22-2-2222-2-22222-2-2-2-2-2-2-2-2222222-222-2-2-2-222-2-2222-2-222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ40222-2-2-2-22-2-2222-2-22222-2-2-2-2-2-2-2-2222222-2-2-22222-2-2-2-2222-2-22-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ41222-2-2-2-22-2-222-1-2-222-1-111111111-1-1-1-1-12-222-2-2-2-22211-1-1-111-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ42222-2-2-2-22-2-222-1-2-222-1-111111111-1-1-1-1-12-222-2-2-2-22211-1-1-111-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ43222-2-2-2-22-2-222-1-2-222-1-111111111-1-1-1-1-12-2-2-22222-2-211-1-1-111-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ44222-2-2-2-22-2-222-1-2-222-1-111111111-1-1-1-1-12-2-2-22222-2-211-1-1-111-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ452-2-222-2-22000022-2-22-2-222-2-20000000020000002-22-22-2-2000020000000022-2-222-2-2002-22-20000002-22-22-22-20000000000000000
χ462-2-222-2-22000022-2-22-2-222-2-20000000020000002-22-22-2-2000020000000022-2-222-2-200-22-22000000-22-22-22-220000000000000000
χ472-2-222-2-22000022-2-22-2-222-2-2000000002000000-22-222-2-20000200000000-2-222-2-222002-2-220000002-22-2-22-220000000000000000
χ482-2-222-2-22000022-2-22-2-222-2-2000000002000000-22-222-2-20000200000000-2-222-2-22200-222-2000000-22-222-22-20000000000000000
χ492-2-222-2-220000-12-2-2211-1-111−i3−i3i3i3−i3−i3i3i3-10000002-22-2-111−i3i3−i3i3-1−i3−i3i3i3−i3−i3i3i3-1-111-1-111002-22-200−i3i3−i3i3-11-11-11-11−i3i3−i3i3000000000000
χ502-2-222-2-220000-12-2-2211-1-111−i3−i3i3i3−i3−i3i3i3-10000002-22-2-111−i3i3−i3i3-1−i3−i3i3i3−i3−i3i3i3-1-111-1-11100-22-2200i3−i3i3−i31-11-11-11-1i3−i3i3−i3000000000000
χ512-2-222-2-220000-12-2-2211-1-111−i3−i3i3i3−i3−i3i3i3-1000000-22-22-111−i3i3−i3i3-1i3i3−i3−i3i3i3−i3−i311-1-111-1-1002-2-2200−i3i3−i3i3-11-111-11-1i3−i3i3−i3000000000000
χ522-2-222-2-220000-12-2-2211-1-111−i3−i3i3i3−i3−i3i3i3-1000000-22-22-111−i3i3−i3i3-1i3i3−i3−i3i3i3−i3−i311-1-111-1-100-222-200i3−i3i3−i31-11-1-11-11−i3i3−i3i3000000000000
χ532-2-222-2-220000-12-2-2211-1-111i3i3−i3−i3i3i3−i3−i3-10000002-22-2-111i3−i3i3−i3-1i3i3−i3−i3i3i3−i3−i3-1-111-1-111002-22-200i3−i3i3−i3-11-11-11-11i3−i3i3−i3000000000000
χ542-2-222-2-220000-12-2-2211-1-111i3i3−i3−i3i3i3−i3−i3-10000002-22-2-111i3−i3i3−i3-1i3i3−i3−i3i3i3−i3−i3-1-111-1-11100-22-2200−i3i3−i3i31-11-11-11-1−i3i3−i3i3000000000000
χ552-2-222-2-220000-12-2-2211-1-111i3i3−i3−i3i3i3−i3−i3-1000000-22-22-111i3−i3i3−i3-1−i3−i3i3i3−i3−i3i3i311-1-111-1-1002-2-2200i3−i3i3−i3-11-111-11-1−i3i3−i3i3000000000000
χ562-2-222-2-220000-12-2-2211-1-111i3i3−i3−i3i3i3−i3−i3-1000000-22-22-111i3−i3i3−i3-1−i3−i3i3i3−i3−i3i3i311-1-111-1-100-222-200−i3i3−i3i31-11-1-11-11i3−i3i3−i3000000000000
χ572-2-2-2-222200002-22-22-2-2-2-2220000000020000002-2-22-22-2000020000000022-2-2-2-2222-200002-22-2-22000000002-2-22000000000000
χ582-2-2-2-222200002-22-22-2-2-2-2220000000020000002-2-22-22-2000020000000022-2-2-2-222-220000-22-222-200000000-222-2000000000000
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χ854-444-4-44-44-44-440000-444-4-444-4-444-4-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ864-444-4-44-44-44-4-200002-2-222-2-222-2-222-22000000000000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ874-444-4-44-44-44-4-200002-2-222-2-222-2-222-22000000000000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ884-444-4-44-4-44-4440000-444-4-44-444-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ894-444-4-44-4-44-44-200002-2-222-22-2-222-2-222000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ904-444-4-44-4-44-44-200002-2-222-22-2-222-2-222000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ914-44-444-4-44-4-4440000-44-444-44-4-44-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-444-4-44-4-44-200002-22-2-22-222-22-2-222000000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ934-44-444-4-44-4-44-200002-22-2-22-222-22-2-222000000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ944-44-444-4-4-444-440000-44-444-4-444-44-4-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-444-4-4-444-4-200002-22-2-222-2-22-222-22000000000000000000i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ964-44-444-4-4-444-4-200002-22-2-222-2-22-222-22000000000000000000−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ974-4-444-4-4400004-444-4-4-444-4-40000000040000000000-4440000-40000000000000000000000000000000000000000000000000000
χ984-4-444-4-440000-2-444-422-2-222−2i3−2i32i32i3−2i3−2i32i32i3-200000000002-2-22i3−2i32i3−2i320000000000000000000000000000000000000000000000000000
χ994-4-444-4-440000-2-444-422-2-2222i32i3−2i3−2i32i32i3−2i3−2i3-200000000002-2-2−2i32i3−2i32i320000000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444000044-44-4-4-4-4-44400000000400000000004-440000-40000000000000000000000000000000000000000000000000000
χ1014-4-4-4-44440000-24-44-42222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-20000000000-22-2−2i32i32i3−2i320000000000000000000000000000000000000000000000000000
χ1024-4-4-4-44440000-24-44-42222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-20000000000-22-22i3−2i3−2i32i320000000000000000000000000000000000000000000000000000

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