Finite Group Databasebeta

← Group #10694546

Character table — Group #10694546

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order12224444223444444666121212124466888888881212121212121212121224242424242424242424242424242424444412121212121212124444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222-2-222-2-22222222-2-22222-2-222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ1822222222222-2-222-2-22222222-2-222-2-222-2-222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ192222222222-1222222-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ202222222222-1222222-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ212222222222-1222222-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-1-1-1-111110000000000000000
χ222222222222-1222222-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111-2-2221111-1-1-1-10000000000000000
χ232222222222-1-2-222-2-2-1-1-1-1-1-1-1-2-2-1-122-2-222-2-211111111-1-1-1-1-1-11111-1-1-1-111110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ242222222222-1-2-222-2-2-1-1-1-1-1-1-1-2-2-1-122-2-222-2-211111111-1-1-1-1-1-11111-1-1-1-111110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ252222222222-1-2-222-2-2-1-1-1-1-1-1-1-2-2-1-1-2-222-2-22211111111-1-11111-1-1-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
χ262222222222-1-2-222-2-2-1-1-1-1-1-1-1-2-2-1-1-2-222-2-22211111111-1-11111-1-1-1-11111-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000000000
χ2722222222-2-2222-2-2222222222-2-2-2-20000000022-2-222-2-2-2-2000000000000000000000000000000002-22-200000000
χ2822222222-2-2222-2-2222222222-2-2-2-20000000022-2-222-2-2-2-200000000000000000000000000000000-22-2200000000
χ2922222222-2-22-2-2-2-2-2-2222222222-2-200000000-2-222-2-222-2-200000000000000000000000000002i−2i2i−2i000000000000
χ3022222222-2-22-2-2-2-2-2-2222222222-2-200000000-2-222-2-222-2-20000000000000000000000000000−2i2i−2i2i000000000000
χ312222-2-2-2-222222-2-2-2-2222-2-2-2-2-22220000000022-2-2-2-222-2-2000000000000000000000000000000002i−2i−2i2i00000000
χ322222-2-2-2-222222-2-2-2-2222-2-2-2-2-22220000000022-2-2-2-222-2-200000000000000000000000000000000−2i2i2i−2i00000000
χ332222-2-2-2-2222-2-2-2-222222-2-2-2-22-22200000000-2-22222-2-2-2-200000000000000000000000000002-2-22000000000000
χ342222-2-2-2-2222-2-2-2-222222-2-2-2-22-22200000000-2-22222-2-2-2-20000000000000000000000000000-222-2000000000000
χ352222-2-2-2-2-2-22-2-22222222-2-2-2-2-22-2-222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ362222-2-2-2-2-2-22-2-22222222-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ372222-2-2-2-2-2-2-12222-2-2-1-1-111112-2112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111112-22-2-1-111-1-1110000000000000000
χ382222-2-2-2-2-2-2-12222-2-2-1-1-111112-2112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-22-2211-1-111-1-10000000000000000
χ392222-2-2-2-2-2-2-12222-2-2-1-1-111112-211-2-2-2-22222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-12-2-22-1-11111-1-10000000000000000
χ402222-2-2-2-2-2-2-12222-2-2-1-1-111112-211-2-2-2-22222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-222-211-1-1-1-1110000000000000000
χ412222-2-2-2-2-2-2-1-2-22222-1-1-11111-221122-2-2-2-2221111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-10000−i3i3i3−i3−i3i3i3−i30000000000000000
χ422222-2-2-2-2-2-2-1-2-22222-1-1-11111-221122-2-2-2-2221111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-10000i3−i3−i3i3i3−i3−i3i30000000000000000
χ432222-2-2-2-2-2-2-1-2-22222-1-1-11111-2211-2-22222-2-21111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111110000−i3i3i3−i3i3−i3−i3i30000000000000000
χ442222-2-2-2-2-2-2-1-2-22222-1-1-11111-2211-2-22222-2-21111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111110000i3−i3−i3i3−i3i3i3−i30000000000000000
χ4522-2-222-2-22-22002-2002-2-222-2-2002-2002-2002-2000000002-2000022-2-2000022-2-2000000000000000000002−22−22−22−2
χ4622-2-222-2-22-22002-2002-2-222-2-2002-2002-2002-2000000002-2000022-2-2000022-2-200000000000000000000−22−22−22−22
χ4722-2-222-2-22-22002-2002-2-222-2-2002-200-2200-22000000002-20000-2-2220000-2-222000000000000000000002−22−2−22−22
χ4822-2-222-2-22-22002-2002-2-222-2-2002-200-2200-22000000002-20000-2-2220000-2-22200000000000000000000−22−222−22−2
χ4922-2-2-2-222-222002-2002-2-2-2-22200-22002-200-22000000002-2000022-2-20000-2-22200000000000000000000−i2i2i2−i2−i2i2i2−i2
χ5022-2-2-2-222-222002-2002-2-2-2-22200-22002-200-22000000002-2000022-2-20000-2-22200000000000000000000i2−i2−i2i2i2−i2−i2i2
χ5122-2-2-2-222-222002-2002-2-2-2-22200-2200-22002-2000000002-20000-2-222000022-2-200000000000000000000−i2i2i2−i2i2−i2−i2i2
χ5222-2-2-2-222-222002-2002-2-2-2-22200-2200-22002-2000000002-20000-2-222000022-2-200000000000000000000i2−i2−i2i2−i2i2i2−i2
χ5344444444-4-4-244-4-444-2-2-2-2-2-2-2-4-42200000000-2-222-2-2222200000000000000000000000000000000000000000000
χ5444444444-4-4-2-4-4-4-4-4-4-2-2-2-2-2-2-244220000000022-2-222-2-22200000000000000000000000000000000000000000000
χ554444-4-4-4-444-244-4-4-4-4-2-2-22222-44-2-200000000-2-22222-2-22200000000000000000000000000000000000000000000
χ564444-4-4-4-444-2-4-4-4-444-2-2-222224-4-2-20000000022-2-2-2-2222200000000000000000000000000000000000000000000
χ5744-4-444-4-44-4-2004-400-222-2-22200-22004-4004-400000000-220000-2-2220000-2-2220000000000000000000000000000
χ5844-4-444-4-44-4-2004-400-222-2-22200-2200-4400-4400000000-22000022-2-2000022-2-20000000000000000000000000000
χ5944-4-444-4-4-44400-44004-4-444-4-400-440000000000000000-4400000000000000000000000000000000000000000000
χ6044-4-444-4-4-44-200-4400-222-2-222002-200000000000000002-2−2i3−2i32i32i30000−2i3−2i32i32i300000000000000000000000000000000
χ6144-4-444-4-4-44-200-4400-222-2-222002-200000000000000002-22i32i3−2i3−2i300002i32i3−2i3−2i300000000000000000000000000000000
χ6244-4-4-4-4444-4400-44004-4-4-4-444004-40000000000000000-4400000000000000000000000000000000000000000000
χ6344-4-4-4-4444-4-200-4400-22222-2-200-2200000000000000002-2−2i3−2i32i32i300002i32i3−2i3−2i300000000000000000000000000000000
χ6444-4-4-4-4444-4-200-4400-22222-2-200-2200000000000000002-22i32i3−2i3−2i30000−2i3−2i32i32i300000000000000000000000000000000
χ6544-4-4-4-444-44-2004-400-22222-2-2002-2004-400-4400000000-220000-2-222000022-2-20000000000000000000000000000
χ6644-4-4-4-444-44-2004-400-22222-2-2002-200-44004-400000000-22000022-2-20000-2-2220000000000000000000000000000
χ674-44-44i−4i4i−4i004000000-44-44i−4i4i−4i000022−2200−2i22i200000000000022−2222−220000−2i22i2−2i22i200000000000000000000000000000000
χ684-44-44i−4i4i−4i004000000-44-44i−4i4i−4i0000−2222002i2−2i2000000000000−2222−222200002i2−2i22i2−2i200000000000000000000000000000000
χ694-44-44i−4i4i−4i00-20000002-22−2i2i−2i2i000022−2200−2i22i20000−2i32i30023−2300−22−22i6−i6i6−i6i2−i2i2−i26−66−60000000000000000000000000000
χ704-44-44i−4i4i−4i00-20000002-22−2i2i−2i2i000022−2200−2i22i200002i3−2i300−232300−22−22−i6i6−i6i6i2−i2i2−i2−66−660000000000000000000000000000
χ714-44-44i−4i4i−4i00-20000002-22−2i2i−2i2i0000−2222002i2−2i20000−2i32i30023−23002−22−2−i6i6−i6i6−i2i2−i2i2−66−660000000000000000000000000000
χ724-44-44i−4i4i−4i00-20000002-22−2i2i−2i2i0000−2222002i2−2i200002i3−2i300−2323002−22−2i6−i6i6−i6−i2i2−i2i26−66−60000000000000000000000000000
χ734-44-4−4i4i−4i4i004000000-44-4−4i4i−4i4i000022−22002i2−2i200000000000022−2222−2200002i2−2i22i2−2i200000000000000000000000000000000
χ744-44-4−4i4i−4i4i004000000-44-4−4i4i−4i4i0000−222200−2i22i2000000000000−2222−22220000−2i22i2−2i22i200000000000000000000000000000000
χ754-44-4−4i4i−4i4i00-20000002-222i−2i2i−2i000022−22002i2−2i20000−2i32i300−232300−22−22i6−i6i6−i6−i2i2−i2i2−66−660000000000000000000000000000
χ764-44-4−4i4i−4i4i00-20000002-222i−2i2i−2i000022−22002i2−2i200002i3−2i30023−2300−22−22−i6i6−i6i6−i2i2−i2i26−66−60000000000000000000000000000
χ774-44-4−4i4i−4i4i00-20000002-222i−2i2i−2i0000−222200−2i22i20000−2i32i300−2323002−22−2−i6i6−i6i6i2−i2i2−i26−66−60000000000000000000000000000
χ784-44-4−4i4i−4i4i00-20000002-222i−2i2i−2i0000−222200−2i22i200002i3−2i30023−23002−22−2i6−i6i6−i6i2−i2i2−i2−66−660000000000000000000000000000
χ794-4-444i−4i−4i4i0044-4004i−4i-4-444i−4i−4i4i0000000000004-4004i−4i000000000000000000000000000000000000000000000000
χ804-4-444i−4i−4i4i004-4400−4i4i-4-444i−4i−4i4i000000000000-4400−4i4i000000000000000000000000000000000000000000000000
χ814-4-444i−4i−4i4i00-24-4004i−4i22-2−2i2i2i−2i000000000000-2200−2i2i0000i6−i6−i6i6i6−i6−i6i66−6−666−6−660000000000000000000000000000
χ824-4-444i−4i−4i4i00-24-4004i−4i22-2−2i2i2i−2i000000000000-2200−2i2i0000−i6i6i6−i6−i6i6i6−i6−666−6−666−60000000000000000000000000000
χ834-4-444i−4i−4i4i00-2-4400−4i4i22-2−2i2i2i−2i0000000000002-2002i−2i0000i6−i6−i6i6−i6i6i6−i66−6−66−666−60000000000000000000000000000
χ844-4-444i−4i−4i4i00-2-4400−4i4i22-2−2i2i2i−2i0000000000002-2002i−2i0000−i6i6i6−i6i6−i6−i6i6−666−66−6−660000000000000000000000000000
χ854-4-44−4i4i4i−4i0044-400−4i4i-4-44−4i4i4i−4i0000000000004-400−4i4i000000000000000000000000000000000000000000000000
χ864-4-44−4i4i4i−4i004-44004i−4i-4-44−4i4i4i−4i000000000000-44004i−4i000000000000000000000000000000000000000000000000
χ874-4-44−4i4i4i−4i00-24-400−4i4i22-22i−2i−2i2i000000000000-22002i−2i0000i6−i6−i6i6i6−i6−i6i6−666−6−666−60000000000000000000000000000
χ884-4-44−4i4i4i−4i00-24-400−4i4i22-22i−2i−2i2i000000000000-22002i−2i0000−i6i6i6−i6−i6i6i6−i66−6−666−6−660000000000000000000000000000
χ894-4-44−4i4i4i−4i00-2-44004i−4i22-22i−2i−2i2i0000000000002-200−2i2i0000i6−i6−i6i6−i6i6i6−i6−666−66−6−660000000000000000000000000000
χ904-4-44−4i4i4i−4i00-2-44004i−4i22-22i−2i−2i2i0000000000002-200−2i2i0000−i6i6i6−i6i6−i6−i6i66−6−66−666−60000000000000000000000000000

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