Finite Group Databasebeta

← Group #10944246

Character table — Group #10944246

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order122222223444466666668888888822446666888812121212121212122424242424242424242424242424242422224444888888882444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1-11111-1-111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-11
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-11-111-1-111-1-11-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-11-11-1-111-1-111-111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-11-111-1-111-1-1-111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-11-11-1-111-1-1111-1-11
χ17222222222-2-2-2-222222220000000022-2-222220000-2-2-2-2-2-2-2-2000000000000000022-2-2-2-222000000000000000000000000
χ18222222222-2-2-2-222222220000000022-2-222220000-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2000000000000000000000000
χ19222222222-2-2-2-2222222200000000-2-222-2-2-2-20000-2-2-22222-200000000000000002222-2-2-2-2000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-222-2-2-2-20000-2-2-22222-20000000000000000-2-2-2-22222000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2322222222-12222-1-1-1-1-1-1-122222222-2-2-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111111100000000000000002-2-22-1-11111-1-10000
χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000000000000000-222-211-1-1-1-1110000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-100000000000000002-22-2-1-111-1-1110000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-10000000000000000-22-2211-1-111-1-10000
χ29222-2-2-2-22222-2-2-2-2-2-2222000000002-22-222-2-2000022-222-2-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ30222-2-2-2-22222-2-2-2-2-2-2222000000002-22-222-2-2000022-222-2-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ31222-2-2-2-22222-2-2-2-2-2-222200000000-22-22-2-222000022-2-2-222-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ32222-2-2-2-22222-2-2-2-2-2-222200000000-22-22-2-222000022-2-2-222-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ33222-2-2-2-222-2-222-2-2-2-22222222-2-2-2-22-2-2222-2-222-2-2-2-22-2-22222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ34222-2-2-2-222-2-222-2-2-2-22222222-2-2-2-2-222-2-2-222-2-222-2-2222-2-222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ35222-2-2-2-222-2-222-2-2-2-2222-2-2-2-222222-2-2222-2-2-2-222-2-22-2-2222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ36222-2-2-2-222-2-222-2-2-2-2222-2-2-2-22222-222-2-2-22222-2-2-2-2222-2-22-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ37222-2-2-2-22-1-2-2221111-1-1-12222-2-2-2-22-2-22-1-11122-2-211-111-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ38222-2-2-2-22-1-2-2221111-1-1-12222-2-2-2-22-2-22-1-11122-2-211-111-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ39222-2-2-2-22-1-2-2221111-1-1-12222-2-2-2-2-222-211-1-1-2-22211-1-1-111-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ40222-2-2-2-22-1-2-2221111-1-1-12222-2-2-2-2-222-211-1-1-2-22211-1-1-111-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ41222-2-2-2-22-1-2-2221111-1-1-1-2-2-2-222222-2-22-1-111-2-22211-111-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ42222-2-2-2-22-1-2-2221111-1-1-1-2-2-2-222222-2-22-1-111-2-22211-111-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ43222-2-2-2-22-1-2-2221111-1-1-1-2-2-2-22222-222-211-1-122-2-211-1-1-111-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ44222-2-2-2-22-1-2-2221111-1-1-1-2-2-2-22222-222-211-1-122-2-211-1-1-111-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ452-2-222-2-2222-22-222-2-2-2-2200000000000000002i−2i2i−2i2-220000-2000000002i2i−2i−2i2i2i−2i−2i002-2002-22i−2i2i−2i00000000000000000000
χ462-2-222-2-2222-22-222-2-2-2-2200000000000000002i−2i2i−2i2-220000-2000000002i2i−2i−2i2i2i−2i−2i00-2200-22−2i2i−2i2i00000000000000000000
χ472-2-222-2-2222-22-222-2-2-2-220000000000000000−2i2i−2i2i2-220000-200000000−2i−2i2i2i−2i−2i2i2i002-2002-2−2i2i−2i2i00000000000000000000
χ482-2-222-2-2222-22-222-2-2-2-220000000000000000−2i2i−2i2i2-220000-200000000−2i−2i2i2i−2i−2i2i2i00-2200-222i−2i2i−2i00000000000000000000
χ492-2-222-2-222-22-2222-2-2-2-2222-2-222-2-2000000000000-22-20000222-2-222-2-200000000002-200-2200002-22-20000000000000000
χ502-2-222-2-222-22-2222-2-2-2-2222-2-222-2-2000000000000-22-20000222-2-222-2-20000000000-22002-20000-22-220000000000000000
χ512-2-222-2-222-22-2222-2-2-2-22-2-222-2-222000000000000-22-200002-2-222-2-22200000000002-200-220000-22-220000000000000000
χ522-2-222-2-222-22-2222-2-2-2-22-2-222-2-222000000000000-22-200002-2-222-2-2220000000000-22002-200002-22-20000000000000000
χ532-2-2-2-222222-2-22-2-222-2-2222-2-2-2-2220000000000002-2-20000222-2-2-2-222000000002-2002-2002-2-2200000000000000000000
χ542-2-2-2-222222-2-22-2-222-2-2222-2-2-2-2220000000000002-2-20000222-2-2-2-22200000000-2200-2200-222-200000000000000000000
χ552-2-2-2-222222-2-22-2-222-2-22-2-22222-2-20000000000002-2-200002-2-22222-2-2000000002-2002-200-222-200000000000000000000
χ562-2-2-2-222222-2-22-2-222-2-22-2-22222-2-20000000000002-2-200002-2-22222-2-200000000-2200-22002-2-2200000000000000000000
χ572-2-2-2-22222-222-2-2-222-2-2200000000000000002i−2i−2i2i-2220000-2000000002i2i−2i−2i−2i−2i2i2i2-200-22000000−2i2i2i−2i0000000000000000
χ582-2-2-2-22222-222-2-2-222-2-2200000000000000002i−2i−2i2i-2220000-2000000002i2i−2i−2i−2i−2i2i2i-22002-20000002i−2i−2i2i0000000000000000
χ592-2-2-2-22222-222-2-2-222-2-220000000000000000−2i2i2i−2i-2220000-200000000−2i−2i2i2i2i2i−2i−2i2-200-220000002i−2i−2i2i0000000000000000
χ602-2-2-2-22222-222-2-2-222-2-220000000000000000−2i2i2i−2i-2220000-200000000−2i−2i2i2i2i2i−2i−2i-22002-2000000−2i2i2i−2i0000000000000000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-20000000044-4-4-2-2-2-2000022222222000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-200000000-4-44422220000222-2-2-2-22000000000000000000000000000000000000000000000000
χ63444-4-4-4-44-244-4-42222-2-2-2000000004-44-4-2-2220000-2-22-2-2222000000000000000000000000000000000000000000000000
χ64444-4-4-4-44-244-4-42222-2-2-200000000-44-4422-2-20000-2-2222-2-22000000000000000000000000000000000000000000000000
χ6544-44-44-4-4400004-44-44-4-4−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6644-44-44-4-4400004-44-44-4-42i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6744-44-44-4-4-20000-22-22-222−2i22i2−2i22i2−2i22i2−2i22i20000−2i32i3−2i32i3000000000000i2−i2i2−i2i2−i2i2−i26−66−66−66−600000000000000000000000000000000
χ6844-44-44-4-4-20000-22-22-222−2i22i2−2i22i2−2i22i2−2i22i200002i3−2i32i3−2i3000000000000i2−i2i2−i2i2−i2i2−i2−66−66−66−6600000000000000000000000000000000
χ6944-44-44-4-4-20000-22-22-2222i2−2i22i2−2i22i2−2i22i2−2i20000−2i32i3−2i32i3000000000000−i2i2−i2i2−i2i2−i2i2−66−66−66−6600000000000000000000000000000000
χ7044-44-44-4-4-20000-22-22-2222i2−2i22i2−2i22i2−2i22i2−2i200002i3−2i32i3−2i3000000000000−i2i2−i2i2−i2i2−i2i26−66−66−66−600000000000000000000000000000000
χ7144-4-44-44-440000-44-444-4-4−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ7244-4-44-44-440000-44-444-4-42i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ7344-4-44-44-4-200002-22-2-222−2i22i2−2i22i22i2−2i22i2−2i20000−2i32i32i3−2i3000000000000i2−i2i2−i2−i2i2−i2i26−66−6−66−6600000000000000000000000000000000
χ7444-4-44-44-4-200002-22-2-222−2i22i2−2i22i22i2−2i22i2−2i200002i3−2i3−2i32i3000000000000i2−i2i2−i2−i2i2−i2i2−66−666−66−600000000000000000000000000000000
χ7544-4-44-44-4-200002-22-2-2222i2−2i22i2−2i2−2i22i2−2i22i20000−2i32i32i3−2i3000000000000−i2i2−i2i2i2−i2i2−i2−66−666−66−600000000000000000000000000000000
χ7644-4-44-44-4-200002-22-2-2222i2−2i22i2−2i2−2i22i2−2i22i200002i3−2i3−2i32i3000000000000−i2i2−i2i2i2−i2i2−i26−66−6−66−6600000000000000000000000000000000
χ774-444-4-44-4400004-4-44-44-4−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-444-4-44-4400004-4-44-44-42i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-444-4-44-4-20000-222-22-22−2i22i22i2−2i2−2i22i22i2−2i200000000000000023−2323−230i2−i2−i2i2i2−i2−i2i2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ804-444-4-44-4-20000-222-22-22−2i22i22i2−2i2−2i22i22i2−2i2000000000000000−2323−23230i2−i2−i2i2i2−i2−i2i2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ814-444-4-44-4-20000-222-22-222i2−2i2−2i22i22i2−2i2−2i22i200000000000000023−2323−230−i2i2i2−i2−i2i2i2−i2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ824-444-4-44-4-20000-222-22-222i2−2i2−2i22i22i2−2i2−2i22i2000000000000000−2323−23230−i2i2i2−i2−i2i2i2−i2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ834-44-444-4-440000-444-4-44-4−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ844-44-444-4-440000-444-4-44-42i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ854-44-444-4-4-200002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i200000000000000023−23−23230i2−i2−i2i2−i2i2i2−i2−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ864-44-444-4-4-200002-2-222-22−2i22i22i2−2i22i2−2i2−2i22i2000000000000000−232323−230i2−i2−i2i2−i2i2i2−i2i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ874-44-444-4-4-200002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i200000000000000023−23−23230−i2i2i2−i2i2−i2−i2i2i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ884-44-444-4-4-200002-2-222-222i2−2i2−2i22i2−2i22i22i2−2i2000000000000000−232323−230−i2i2i2−i2i2−i2−i2i2−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ894-4-444-4-44-24-44-4-2-22222-200000000000000004i−4i4i−4i-22-20000200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ904-4-444-4-44-24-44-4-2-22222-20000000000000000−4i4i−4i4i-22-200002000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ914-4-444-4-44-2-44-44-2-22222-244-4-444-4-40000000000002-220000-2-2-222-2-2220000000000000000000000000000000000000000
χ924-4-444-4-44-2-44-44-2-22222-2-4-444-4-4440000000000002-220000-222-2-222-2-20000000000000000000000000000000000000000
χ934-4-4-4-4444-24-4-4422-2-222-244-4-4-4-444000000000000-2220000-2-2-22222-2-20000000000000000000000000000000000000000
χ944-4-4-4-4444-24-4-4422-2-222-2-4-44444-4-4000000000000-2220000-222-2-2-2-2220000000000000000000000000000000000000000
χ954-4-4-4-4444-2-444-422-2-222-200000000000000004i−4i−4i4i2-2-20000200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ964-4-4-4-4444-2-444-422-2-222-20000000000000000−4i4i4i−4i2-2-200002000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000

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