Finite Group Databasebeta

← Group #10830927

Character table — Group #10830927

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121222666688888888121212122424242424242424242424242424242422224444666666661212121212121212244488884444
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1111-11-1
χ1011111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-11-11
χ1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-111-11-11
χ1211111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-111-1-11-11-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-11-1-11
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-111-111-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-111-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1111-1-11
χ17222222222-2-22222-2-2222222222222222-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000000000000022-2-200000000
χ18222222222-2-22222-2-2222222222222222-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000-2-22200000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222222200000000-2-2-2-200000000000000000000000000000000000000002-22-200000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222222200000000-2-2-2-20000000000000000000000000000000000000000-22-2200000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-211112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-211112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-21111-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-21111-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ29222-2-2-2-2222222-2-2-2-222-2-2-2-222222-2-2-2-22-222-2-20000000022-2-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ30222-2-2-2-2222222-2-2-2-222-2-2-2-222222-2-2-2-22-222-2-20000000022-2-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ31222-2-2-2-22222-2-222-2-222-2-2-2-22-2-2-2-22222-22-2-2220000000022-2-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ32222-2-2-2-22222-2-222-2-222-2-2-2-22-2-2-2-22222-22-2-2220000000022-2-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ33222-2-2-2-222-2-222-2-22222-2-2-2-222222-2-2-2-2-22-2-22222-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ34222-2-2-2-222-2-222-2-22222-2-2-2-222222-2-2-2-2-22-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ35222-2-2-2-222-2-2-2-2222222-2-2-2-22-2-2-2-222222-222-2-222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ36222-2-2-2-222-2-2-2-2222222-2-2-2-22-2-2-2-222222-222-2-2-2-22222-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ37222-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-1-11111-2211-1-122-2-222-2-211-1-1-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ38222-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-1-11111-2211-1-122-2-222-2-211-1-1-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ39222-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-1-11111-2211-1-1-2-222-2-22211-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ40222-2-2-2-22-1-2-222-2-222-1-11111-1-1-1-1-11111-2211-1-1-2-222-2-22211-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ41222-2-2-2-22-1-2-2-2-22222-1-11111-11111-1-1-1-12-2-1-11122-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ42222-2-2-2-22-1-2-2-2-22222-1-11111-11111-1-1-1-12-2-1-11122-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ43222-2-2-2-22-1-2-2-2-22222-1-11111-11111-1-1-1-12-2-1-111-2-22222-2-211-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ44222-2-2-2-22-1-2-2-2-22222-1-11111-11111-1-1-1-12-2-1-111-2-22222-2-211-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ452-2-222-2-2222-20000-22-2-222-2-22000000000000002-22-200002-2-2222-2-222-2-20000000000002-22-2000000002-22-22-22-2000000000000
χ462-2-222-2-2222-20000-22-2-222-2-22000000000000002-22-200002-2-2222-2-222-2-2000000000000-22-2200000000-22-22-22-22000000000000
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χ482-2-222-2-2222-20000-22-2-222-2-2200000000000000-22-2200002-2-22-2-222-2-222000000000000-222-200000000-22-222-22-2000000000000
χ492-2-222-2-22-12-20000-2211-1-111-1−i3−i3i3i3−i3−i3i3i300−i3i3−i3i32-22-20000-111-1-1-111-1-111−i3−i3i3i3−i3−i3i3i300002-22-2−i3i3−i3i3−i3i3−i3i3-11-11-11-11000000000000
χ502-2-222-2-22-12-20000-2211-1-111-1−i3−i3i3i3−i3−i3i3i300−i3i3−i3i32-22-20000-111-1-1-111-1-111−i3−i3i3i3−i3−i3i3i30000-22-22i3−i3i3−i3i3−i3i3−i31-11-11-11-1000000000000
χ512-2-222-2-22-12-20000-2211-1-111-1−i3−i3i3i3−i3−i3i3i300−i3i3−i3i3-22-220000-111-111-1-111-1-1i3i3−i3−i3i3i3−i3−i300002-2-22−i3i3−i3i3i3−i3i3−i3-11-111-11-1000000000000
χ522-2-222-2-22-12-20000-2211-1-111-1−i3−i3i3i3−i3−i3i3i300−i3i3−i3i3-22-220000-111-111-1-111-1-1i3i3−i3−i3i3i3−i3−i30000-222-2i3−i3i3−i3−i3i3−i3i31-11-1-11-11000000000000
χ532-2-222-2-22-12-20000-2211-1-111-1i3i3−i3−i3i3i3−i3−i300i3−i3i3−i32-22-20000-111-1-1-111-1-111i3i3−i3−i3i3i3−i3−i300002-22-2i3−i3i3−i3i3−i3i3−i3-11-11-11-11000000000000
χ542-2-222-2-22-12-20000-2211-1-111-1i3i3−i3−i3i3i3−i3−i300i3−i3i3−i32-22-20000-111-1-1-111-1-111i3i3−i3−i3i3i3−i3−i30000-22-22−i3i3−i3i3−i3i3−i3i31-11-11-11-1000000000000
χ552-2-222-2-22-12-20000-2211-1-111-1i3i3−i3−i3i3i3−i3−i300i3−i3i3−i3-22-220000-111-111-1-111-1-1−i3−i3i3i3−i3−i3i3i300002-2-22i3−i3i3−i3−i3i3−i3i3-11-111-11-1000000000000
χ562-2-222-2-22-12-20000-2211-1-111-1i3i3−i3−i3i3i3−i3−i300i3−i3i3−i3-22-220000-111-111-1-111-1-1−i3−i3i3i3−i3−i3i3i30000-222-2−i3i3−i3i3i3−i3i3−i31-11-1-11-11000000000000
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χ652-2-2-2-2222-1-220000-221111-1-1-1i3i3−i3−i3−i3−i3i3i300−i3i3i3−i32-2-2200001-11-1-1-11111-1-1i3i3−i3−i3−i3−i3i3i32-22-20000-111-1-111-1i3−i3−i3i3i3−i3−i3i3000000000000
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χ8344-4-44-44-4-200000000-222-22-22−2323−232323−2323−230000000000−2i22i22i2−2i20000−i6i6−i6i6i6−i6i6−i6i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000000000
χ8444-4-44-44-4-200000000-222-22-22−2323−232323−2323−2300000000002i2−2i2−2i22i20000i6−i6i6−i6−i6i6−i6i6−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000000000
χ854-444-4-44-44004i−4i4i−4i00-444-4-44-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ864-444-4-44-4400−4i4i−4i4i00-444-4-44-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ874-444-4-44-4-2004i−4i4i−4i002-2-222-22−2i2i2i−2i−2i2i2i−2i000000000000000000i6−i6−i6i6i6−i6−i6i6−666−6−666−6000000000000000000000000000000000000
χ884-444-4-44-4-2004i−4i4i−4i002-2-222-22−2i2i2i−2i−2i2i2i−2i000000000000000000−i6i6i6−i6−i6i6i6−i66−6−666−6−66000000000000000000000000000000000000
χ894-444-4-44-4-200−4i4i−4i4i002-2-222-222i−2i−2i2i2i−2i−2i2i000000000000000000i6−i6−i6i6i6−i6−i6i66−6−666−6−66000000000000000000000000000000000000
χ904-444-4-44-4-200−4i4i−4i4i002-2-222-222i−2i−2i2i2i−2i−2i2i000000000000000000−i6i6i6−i6−i6i6i6−i6−666−6−666−6000000000000000000000000000000000000
χ914-44-444-4-44004i−4i−4i4i00-44-444-4-44i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-444-4-4400−4i4i4i−4i00-44-444-4-4−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-444-4-4-2004i−4i−4i4i002-22-2-222−2i2i2i−2i2i−2i−2i2i000000000000000000i6−i6−i6i6−i6i6i6−i6−666−66−6−66000000000000000000000000000000000000
χ944-44-444-4-4-2004i−4i−4i4i002-22-2-222−2i2i2i−2i2i−2i−2i2i000000000000000000−i6i6i6−i6i6−i6−i6i66−6−66−666−6000000000000000000000000000000000000
χ954-44-444-4-4-200−4i4i4i−4i002-22-2-2222i−2i−2i2i−2i2i2i−2i000000000000000000i6−i6−i6i6−i6i6i6−i66−6−66−666−6000000000000000000000000000000000000
χ964-44-444-4-4-200−4i4i4i−4i002-22-2-2222i−2i−2i2i−2i2i2i−2i000000000000000000−i6i6i6−i6i6−i6−i6i6−666−66−6−66000000000000000000000000000000000000
χ974-4-444-4-444-4400004-4-4-444-4-440000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ984-4-444-4-44-2-4400004-422-2-222-2−2i3−2i32i32i3−2i3−2i32i32i3002i3−2i32i3−2i3000000002-2-220000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-2-4400004-422-2-222-22i32i3−2i3−2i32i32i3−2i3−2i300−2i32i3−2i32i3000000002-2-220000000000000000000000000000000000000000000000000000
χ1004-4-4-4-444444-400004-4-4-4-4-444400000000000000000000004-44-40000000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-24-400004-42222-2-2-2−2i3−2i32i32i32i32i3−2i3−2i300−2i32i32i3−2i300000000-22-220000000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-24-400004-42222-2-2-22i32i3−2i3−2i3−2i3−2i32i32i3002i3−2i3−2i32i300000000-22-220000000000000000000000000000000000000000000000000000

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