Finite Group Databasebeta

← Group #10877458

Character table — Group #10877458

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order122222223444466666668888888844448888121212121212121212121212242424242424242424242424242424242222444444444488888888441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1111111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-11
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-111-11
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111111-11111-1-1-1-1-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ17222222222-2-2-2-222222220000000022-2-200002222-2-2-2-2-2-2-2-2000000000000000022220000-2-222-2-2000000000000000000000000
χ18222222222-2-2-2-222222220000000022-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000022-2-222000000000000000000000000
χ19222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-200000000000000002222000022-2-2-2-2000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-20000000000000000-2-2-2-20000-2-22222000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000022-1-1-1-1-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-211111111000000
χ2322222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-1111111110000222200000000000000-2-2-1-111-1-111000000
χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-1111111110000-2-2-2-2000000000000002211-1-111-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000022-2-200000000000000-22-1-11111-1-1000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-222000000000000002-211-1-1-1-111000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-1000022-2-2000000000000002-2-1-1-1-11111000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-10000-2-22200000000000000-221111-1-1-1-1000000
χ292222-2-2-2-22-2-2222-2-22-22-22222-2-2-2-20000000000002-200002-22222-2-2-2-20000000000002i−2i2i−2i00000000000000002i−2i002i−2i00000000
χ302222-2-2-2-22-2-2222-2-22-22-22222-2-2-2-20000000000002-200002-22222-2-2-2-2000000000000−2i2i−2i2i0000000000000000−2i2i00−2i2i00000000
χ312222-2-2-2-22-2-2222-2-22-22-2-2-2-2-222220000000000002-200002-2-2-2-2-222220000000000002i−2i−2i2i00000000000000002i−2i00−2i2i00000000
χ322222-2-2-2-22-2-2222-2-22-22-2-2-2-2-222220000000000002-200002-2-2-2-2-22222000000000000−2i2i2i−2i0000000000000000−2i2i002i−2i00000000
χ332222-2-2-2-2-1-2-222-111-11-112222-2-2-2-20000000033−3−3-1133−3−3-11-1-1-1-111113333−3−3−3−300002i−2i2i−2i0000000000000000−ii−i3i3−ii−i3i3000000
χ342222-2-2-2-2-1-2-222-111-11-112222-2-2-2-20000000033−3−3-1133−3−3-11-1-1-1-111113333−3−3−3−30000−2i2i−2i2i0000000000000000i−ii3−i3i−ii3−i3000000
χ352222-2-2-2-2-1-2-222-111-11-112222-2-2-2-200000000−3−333-11−3−333-11-1-1-1-11111−3−3−3−3333300002i−2i2i−2i0000000000000000−iii3−i3−iii3−i3000000
χ362222-2-2-2-2-1-2-222-111-11-112222-2-2-2-200000000−3−333-11−3−333-11-1-1-1-11111−3−3−3−333330000−2i2i−2i2i0000000000000000i−i−i3i3i−i−i3i3000000
χ372222-2-2-2-2-1-2-222-111-11-11-2-2-2-222220000000033−3−3-1133−3−3-111111-1-1-1-1−3−3−3−3333300002i−2i−2i2i0000000000000000−iii3−i3i−i−i3i3000000
χ382222-2-2-2-2-1-2-222-111-11-11-2-2-2-222220000000033−3−3-1133−3−3-111111-1-1-1-1−3−3−3−333330000−2i2i2i−2i0000000000000000i−i−i3i3−iii3−i3000000
χ392222-2-2-2-2-1-2-222-111-11-11-2-2-2-2222200000000−3−333-11−3−333-111111-1-1-1-13333−3−3−3−300002i−2i−2i2i0000000000000000−ii−i3i3i−ii3−i3000000
χ402222-2-2-2-2-1-2-222-111-11-11-2-2-2-2222200000000−3−333-11−3−333-111111-1-1-1-13333−3−3−3−30000−2i2i2i−2i0000000000000000i−ii3−i3−ii−i3i3000000
χ4122-2-2-2-222200002-2-2-22-2222−2−222−2−22i−2i00−i2−i2i2i22i−2i2i−2i0000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i222-2-20000002i−2i00−i2−i2i2i222−2−20000000000000000
χ4222-2-2-2-222200002-2-2-22-2222−2−222−2−22i−2i00−i2−i2i2i22i−2i2i−2i0000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2-2-222000000−2i2i00i2i2−i2−i2−2−2220000000000000000
χ4322-2-2-2-222200002-2-2-22-2222−2−222−2−2−2i2i00i2i2−i2−i2−2i2i−2i2i0000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i222-2-2000000−2i2i00i2i2−i2−i222−2−20000000000000000
χ4422-2-2-2-222200002-2-2-22-2222−2−222−2−2−2i2i00i2i2−i2−i2−2i2i−2i2i0000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2-2-2220000002i−2i00−i2−i2i2i2−2−2220000000000000000
χ4522-2-2-2-222200002-2-2-22-22−2−222−2−2222i−2i00i2i2−i2−i22i−2i2i−2i00000000−2−222−2−222i2i2−i2−i2i2i2−i2−i222-2-20000002i−2i00i2i2−i2−i2−2−2220000000000000000
χ4622-2-2-2-222200002-2-2-22-22−2−222−2−2222i−2i00i2i2−i2−i22i−2i2i−2i00000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2-2-222000000−2i2i00−i2−i2i2i222−2−20000000000000000
χ4722-2-2-2-222200002-2-2-22-22−2−222−2−222−2i2i00−i2−i2i2i2−2i2i−2i2i00000000−2−222−2−222−i2−i2i2i2−i2−i2i2i222-2-2000000−2i2i00−i2−i2i2i2−2−2220000000000000000
χ4822-2-2-2-222200002-2-2-22-22−2−222−2−222−2i2i00−i2−i2i2i2−2i2i−2i2i00000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2-2-2220000002i−2i00i2i2−i2−i222−2−20000000000000000
χ492-22-2-222-220000-2-2222-2-2−i2i2−i2i2−i2i2−i2i2002i−2i2−22−20000002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−22-22-200002i−2i00002−22−2−i2i2−i2i20000000000000000
χ502-22-2-222-220000-2-2222-2-2−i2i2−i2i2−i2i2−i2i2002i−2i2−22−20000002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−2-22-220000−2i2i0000−22−22i2−i2i2−i20000000000000000
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χ522-22-2-222-220000-2-2222-2-2−i2i2−i2i2−i2i2−i2i200−2i2i−22−22000000−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−22-22-2200002i−2i00002−22−2i2−i2i2−i20000000000000000
χ532-22-2-222-220000-2-2222-2-2i2−i2i2−i2i2−i2i2−i2002i−2i−22−220000002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−222-22-200002i−2i0000−22−22i2−i2i2−i20000000000000000
χ542-22-2-222-220000-2-2222-2-2i2−i2i2−i2i2−i2i2−i2002i−2i−22−220000002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−22-22-220000−2i2i00002−22−2−i2i2−i2i20000000000000000
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χ874-44-44-4-44-200002-22-222-2−2i22i2−2i22i22i2−2i22i2−2i2000000000000002i3−2i3−2i32i300i2−i2i2−i2−i2i2−i2i26−66−6−66−6600000000000000000000000000000000000000
χ884-44-44-4-44-200002-22-222-22i2−2i22i2−2i2−2i22i2−2i22i200000000000000−2i32i32i3−2i300−i2i2−i2i2i2−i2i2−i26−66−6−66−6600000000000000000000000000000000000000
χ894-44-44-4-44-200002-22-222-22i2−2i22i2−2i2−2i22i2−2i22i2000000000000002i3−2i3−2i32i300−i2i2−i2i2i2−i2i2−i2−66−666−66−600000000000000000000000000000000000000
χ904-44-4-444-4-2000022-2-2-222−2i22i2−2i22i2−2i22i2−2i22i2004i−4i22−2222−22000000−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000000000000000000000000000000000
χ914-44-4-444-4-2000022-2-2-222−2i22i2−2i22i2−2i22i2−2i22i200−4i4i−2222−22220000002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000000000000000000000000000000000
χ924-44-4-444-4-2000022-2-2-2222i2−2i22i2−2i22i2−2i22i2−2i2004i−4i−2222−2222000000−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000000000000000000000000000000000
χ934-44-4-444-4-2000022-2-2-2222i2−2i22i2−2i22i2−2i22i2−2i200−4i4i22−2222−220000002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000000000000000000000000000000000
χ944-4-444-44-4-24-4-442-222-2-220000000000004i−4i−4i4i00002-20000-2200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000
χ954-4-444-44-4-24-4-442-222-2-22000000000000−4i4i4i−4i00002-20000-22000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000
χ964-4-444-44-4-2-444-42-222-2-224i−4i−4i4i4i−4i−4i4i000000000000-2200002-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ974-4-444-44-4-2-444-42-222-2-22−4i4i4i−4i−4i4i4i−4i000000000000-2200002-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ984-4-44-44-444-44-44-4-44-4-44400000000000000000000-4-4000044000000000000000000000000000000000000000000000000000000
χ994-4-44-44-44-24-44-422-222-2-24i−4i−4i4i−4i4i4i−4i000000000000-2-2000022−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ1004-4-44-44-44-24-44-422-222-2-2−4i4i4i−4i4i−4i−4i4i000000000000-2-20000222i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ1014-4-44-44-44-2-44-4422-222-2-200000000000000000000220000-2-200000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000
χ1024-4-44-44-44-2-44-4422-222-2-200000000000000000000220000-2-2000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000

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