Finite Group Databasebeta

← Group #10868030

Character table — Group #10868030

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444444444444444444444448888121212121212121216161616161616161616242424242424242424242424
order122222223444444446666666448888888812121212121212121212121224242424242424242424242424242424444444444444441212121212121212244444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11-1-11-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-111-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1111111
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1111-1-11111-1-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-11111-1-11-1-1-111-1-1-1-111
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-111-1-1-1111-1-111-1-1
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-111111-1-1-111-1-111
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-11-1-1-1-11111-1-1-111111-1-111
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-11-1-1-1-11111111-1-1-1-1-111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-11-11111-1-1-1-1-1111-1-1-1-1-1-111
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111-11111-1-1-1-11-1-1-1111111-1-1
χ172222222222222-2-2-2-22222222-2-200000000-2-22222-2-2-2-2-2-200000000000000000000220000220000000000-200-200000000
χ182222222222222-2-2-2-22222222-2-200000000-2-22222-2-2-2-2-2-200000000000000000000-2-20000-2-20000000000200200000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-22222-2-200000000000000000000220000-2-20000000000200-200000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-22222-2-200000000000000000000-2-20000220000000000-200200000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111222200000000-2-2-1-111-1-111000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000000002211-1-111-1-1000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-11111111122-2-2000000002-211-1-1-1-111000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-111111111-2-22200000000-22-1-11111-1-1000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-122-2-200000000-221111-1-1-1-1000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-1-2-222000000002-2-1-1-1-11111000000000000
χ2922-2-22-2-2222i2i−2i−2i2-2-22-2-2222-2-22i−2i000000002-22i2i−2i−2i2i2i−2i−2i2-200000000000000002i−2i2-200000000002-2002i−2i00000000000000
χ3022-2-22-2-2222i2i−2i−2i2-2-22-2-2222-2-22i−2i000000002-22i2i−2i−2i2i2i−2i−2i2-20000000000000000−2i2i-220000000000-2200−2i2i00000000000000
χ3122-2-22-2-2222i2i−2i−2i-222-2-2-2222-2-2−2i2i00000000-222i2i−2i−2i−2i−2i2i2i-2200000000000000000000002i2i−2i−2i0000000000000000002-20000
χ3222-2-22-2-2222i2i−2i−2i-222-2-2-2222-2-2−2i2i00000000-222i2i−2i−2i−2i−2i2i2i-220000000000000000000000−2i−2i2i2i000000000000000000-220000
χ3322-2-22-2-222−2i−2i2i2i2-2-22-2-2222-2-2−2i2i000000002-2−2i−2i2i2i−2i−2i2i2i2-200000000000000002i−2i-220000000000-22002i−2i00000000000000
χ3422-2-22-2-222−2i−2i2i2i2-2-22-2-2222-2-2−2i2i000000002-2−2i−2i2i2i−2i−2i2i2i2-20000000000000000−2i2i2-200000000002-200−2i2i00000000000000
χ3522-2-22-2-222−2i−2i2i2i-222-2-2-2222-2-22i−2i00000000-22−2i−2i2i2i2i2i−2i−2i-2200000000000000000000002i2i−2i−2i000000000000000000-220000
χ3622-2-22-2-222−2i−2i2i2i-222-2-2-2222-2-22i−2i00000000-22−2i−2i2i2i2i2i−2i−2i-220000000000000000000000−2i−2i2i2i0000000000000000002-20000
χ3722-2-22-2-22-12i2i−2i−2i2-2-2211-1-1-1112i−2i00000000-11−i−iii−i−iii-113333−3−3−3−3−i3−i3−i3−i3i3i3i3i32i−2i2-20000000000-11−i3i3−ii3−3000000000000
χ3822-2-22-2-22-12i2i−2i−2i2-2-2211-1-1-1112i−2i00000000-11−i−iii−i−iii-113333−3−3−3−3−i3−i3−i3−i3i3i3i3i3−2i2i-2200000000001-1i3−i3i−i−33000000000000
χ3922-2-22-2-22-12i2i−2i−2i2-2-2211-1-1-1112i−2i00000000-11−i−iii−i−iii-11−3−3−3−33333i3i3i3i3−i3−i3−i3−i32i−2i2-20000000000-11i3−i3−ii−33000000000000
χ4022-2-22-2-22-12i2i−2i−2i2-2-2211-1-1-1112i−2i00000000-11−i−iii−i−iii-11−3−3−3−33333i3i3i3i3−i3−i3−i3−i3−2i2i-2200000000001-1−i3i3i−i3−3000000000000
χ4122-2-22-2-22-1−2i−2i2i2i2-2-2211-1-1-111−2i2i00000000-11ii−i−iii−i−i-113333−3−3−3−3i3i3i3i3−i3−i3−i3−i32i−2i-2200000000001-1−i3i3−ii−33000000000000
χ4222-2-22-2-22-1−2i−2i2i2i2-2-2211-1-1-111−2i2i00000000-11ii−i−iii−i−i-113333−3−3−3−3i3i3i3i3−i3−i3−i3−i3−2i2i2-20000000000-11i3−i3i−i3−3000000000000
χ4322-2-22-2-22-1−2i−2i2i2i2-2-2211-1-1-111−2i2i00000000-11ii−i−iii−i−i-11−3−3−3−33333−i3−i3−i3−i3i3i3i3i32i−2i-2200000000001-1i3−i3−ii3−3000000000000
χ4422-2-22-2-22-1−2i−2i2i2i2-2-2211-1-1-111−2i2i00000000-11ii−i−iii−i−i-11−3−3−3−33333−i3−i3−i3−i3i3i3i3i3−2i2i2-20000000000-11−i3i3i−i−33000000000000
χ452-22-222-2-222-22-200002-2-22-22-200−i2−i2i2i2−i2−i2i2i2002-22-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002i−2i00002i−2i0000000000000000002−22−2
χ462-22-222-2-222-22-200002-2-22-22-200−i2−i2i2i2−i2−i2i2i2002-22-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000−2i2i0000−2i2i000000000000000000−22−22
χ472-22-222-2-222-22-200002-2-22-22-200i2i2−i2−i2i2i2−i2−i2002-22-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002i−2i00002i−2i000000000000000000−22−22
χ482-22-222-2-222-22-200002-2-22-22-200i2i2−i2−i2i2i2−i2−i2002-22-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000−2i2i0000−2i2i0000000000000000002−22−2
χ492-22-222-2-22-22-2200002-2-22-22-200−i2−i2i2i2i2i2−i2−i200-22-22000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200002i−2i0000−2i2i0000000000000000002−2−22
χ502-22-222-2-22-22-2200002-2-22-22-200−i2−i2i2i2i2i2−i2−i200-22-22000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000−2i2i00002i−2i000000000000000000−222−2
χ512-22-222-2-22-22-2200002-2-22-22-200i2i2−i2−i2−i2−i2i2i200-22-22000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200002i−2i0000−2i2i000000000000000000−222−2
χ522-22-222-2-22-22-2200002-2-22-22-200i2i2−i2−i2−i2−i2i2i200-22-22000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000−2i2i00002i−2i0000000000000000002−2−22
χ532-22-2-2-222200002-22-2-2-22-2-222002i−2i2i−2i00002200000000-2-22i−2i2i−2i2i−2i2i−2i000000000000002-22-200000000000000002i−2i000000
χ542-22-2-2-222200002-22-2-2-22-2-222002i−2i2i−2i00002200000000-2-22i−2i2i−2i2i−2i2i−2i00000000000000-22-220000000000000000−2i2i000000
χ552-22-2-2-222200002-22-2-2-22-2-22200−2i2i−2i2i00002200000000-2-2−2i2i−2i2i−2i2i−2i2i000000000000002-22-20000000000000000−2i2i000000
χ562-22-2-2-222200002-22-2-2-22-2-22200−2i2i−2i2i00002200000000-2-2−2i2i−2i2i−2i2i−2i2i00000000000000-22-2200000000000000002i−2i000000
χ572-2-22-22-2220000-2-222222-2-2-2-20000002-22-2-22000000002-2000000002-22-22-22-20000002i−2i−2i2i00000000000002i−2i000000000
χ582-2-22-22-2220000-2-222222-2-2-2-20000002-22-2-22000000002-2000000002-22-22-22-2000000−2i2i2i−2i0000000000000−2i2i000000000
χ592-2-22-22-2220000-2-222222-2-2-2-2000000-22-22-22000000002-200000000-22-22-22-220000002i−2i−2i2i0000000000000−2i2i000000000
χ602-2-22-22-2220000-2-222222-2-2-2-2000000-22-22-22000000002-200000000-22-22-22-22000000−2i2i2i−2i00000000000002i−2i000000000
χ6144444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-40000000022-2-2-2-222222200000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24400000000222222-2-2-2-22200000000000000000000000000000000000000000000000000
χ634444-4-4-4-4400000000-44-4-444-40022−22−2222000000000000000022−22−222222−22−2222000000000000000000000000000000000000000000
χ644444-4-4-4-4400000000-44-4-444-400−222222−220000000000000000−222222−22−222222−22000000000000000000000000000000000000000000
χ654444-4-4-4-4-2000000002-222-2-220022−22−2222000000000023−2323−2300−222−2−222−26−6−66−666−60000000000000000000000000000000000
χ664444-4-4-4-4-2000000002-222-2-220022−22−22220000000000−2323−232300−222−2−222−2−666−66−6−660000000000000000000000000000000000
χ674444-4-4-4-4-2000000002-222-2-2200−222222−22000000000023−2323−23002−2−222−2−22−666−66−6−660000000000000000000000000000000000
χ684444-4-4-4-4-2000000002-222-2-2200−222222−220000000000−2323−2323002−2−222−2−226−6−66−666−60000000000000000000000000000000000
χ6944-4-44-4-44-24i4i−4i−4i-444-422-2-2-222−4i4i000000002-2−2i−2i2i2i2i2i−2i−2i2-200000000000000000000000000000000000000000000000000
χ7044-4-44-4-44-2−4i−4i4i4i-444-422-2-2-2224i−4i000000002-22i2i−2i−2i−2i−2i2i2i2-200000000000000000000000000000000000000000000000000
χ7144-4-4-444-44000000004-4-4-44-44000000−2i22i22i2−2i200000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ7244-4-4-444-44000000004-4-4-44-440000002i2−2i2−2i22i2000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ7344-4-4-444-4-200000000-2222-22-2000000−2i22i22i2−2i2000000−2i32i32i3−2i3006−6−66−666−6i2−i2−i2i2i2−i2−i2i20000000000000000000000000000000000
χ7444-4-4-444-4-200000000-2222-22-2000000−2i22i22i2−2i20000002i3−2i3−2i32i300−666−66−6−66i2−i2−i2i2i2−i2−i2i20000000000000000000000000000000000
χ7544-4-4-444-4-200000000-2222-22-20000002i2−2i2−2i22i2000000−2i32i32i3−2i300−666−66−6−66−i2i2i2−i2−i2i2i2−i20000000000000000000000000000000000
χ7644-4-4-444-4-200000000-2222-22-20000002i2−2i2−2i22i20000002i3−2i3−2i32i3006−6−66−666−6−i2i2i2−i2−i2i2i2−i20000000000000000000000000000000000
χ774-44-444-4-4-24-44-40000-222-22-2200−2i2−2i22i22i2−2i2−2i22i22i200-22-22000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000
χ784-44-444-4-4-24-44-40000-222-22-22002i22i2−2i2−2i22i22i2−2i2−2i200-22-22000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000
χ794-44-444-4-4-2-44-440000-222-22-2200−2i2−2i22i22i22i22i2−2i2−2i2002-22-2000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000
χ804-44-444-4-4-2-44-440000-222-22-22002i22i2−2i2−2i2−2i2−2i22i22i2002-22-2000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000
χ814-44-4-4-44440000-44-44-4-44-4-4440000000000-4-4000000004400000000000000000000000000000000000000000000000000
χ824-44-4-4-444-200004-44-422-222-2-2004i−4i4i−4i0000-2-20000000022−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ834-44-4-4-444-200004-44-422-222-2-200−4i4i−4i4i0000-2-200000000222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ844-44-4-4-444-20000-44-4422-222-2-200000000002200000000-2-200000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000
χ854-44-4-4-444-20000-44-4422-222-2-200000000002200000000-2-2000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000
χ864-4-444-44-444i−4i−4i4i0000-44-44-4-440000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ874-4-444-44-44−4i4i4i−4i0000-44-44-4-44000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ884-4-444-44-4-24i−4i−4i4i00002-22-222-2000000000000−2i2i2i−2i000000i6i6−i6−i6−i6−i6i6i666−6−6−6−6660000000000000000000000000000000000
χ894-4-444-44-4-24i−4i−4i4i00002-22-222-2000000000000−2i2i2i−2i000000−i6−i6i6i6i6i6−i6−i6−6−66666−6−60000000000000000000000000000000000
χ904-4-444-44-4-2−4i4i4i−4i00002-22-222-20000000000002i−2i−2i2i000000i6i6−i6−i6−i6−i6i6i6−6−66666−6−60000000000000000000000000000000000
χ914-4-444-44-4-2−4i4i4i−4i00002-22-222-20000000000002i−2i−2i2i000000−i6−i6i6i6i6i6−i6−i666−6−6−6−6660000000000000000000000000000000000
χ924-4-44-44-444000044-4-4444-4-4-4-400000000004-400000000-4400000000000000000000000000000000000000000000000000
χ934-4-44-44-44-2000044-4-4-2-2-222220000000000-22000000002-2−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000000000
χ944-4-44-44-44-2000044-4-4-2-2-222220000000000-22000000002-22i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000000000
χ954-4-44-44-44-20000-4-444-2-2-222220000004-44-42-200000000-2200000000-22-22-22-220000000000000000000000000000000000
χ964-4-44-44-44-20000-4-444-2-2-22222000000-44-442-200000000-22000000002-22-22-22-20000000000000000000000000000000000

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