Finite Group Databasebeta

← Group #10868340

Character table — Group #10868340

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222444444444466668888888888888888888881212121212121212121212121616161616161616162424242424242448
order1222222234444666666644888812121212444422444448812121212242424242424242444444444888846612121212121222444884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1
χ3111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11
χ51111111111111111111111-1-1-1-111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1-11
χ71111111111111111111111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-111111
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-111-1
χ911111111111111111111-1-111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-111-1-111-1-1-1-1-111-1-1-1
χ1011111111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11111-1-1-1-1-11
χ1111111111111111111111-1-111111111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-1111
χ1211111111111111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1-111111-1
χ1311111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1111
χ1411111111111111111111-1-1-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1
χ1511111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-11111111-1-1-1
χ1611111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-11111-1-1-1-11-1-1-1-11
χ17222222222-2-2-2-22222222220000-2-2-2-2222200-200000022-2-200000000-2-2220000000000000000000-200000
χ18222222222-2-2-2-22222222220000-2-2-2-2-2-2-2-200-200000022-2-20000000022-2-20000000000000000000200000
χ19222222222-2-2-2-22222222-2-20000-2-2-2-22222002000000-2-22200000000-2-2-2-20000000000000000000200000
χ20222222222-2-2-2-22222222-2-20000-2-2-2-2-2-2-2-2002000000-2-2220000000022220000000000000000000-200000
χ2122222222-12222-1-1-1-1-1-1-1222222-1-1-1-10000222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-1-1-1-1-1-1-100000000
χ2222222222-12222-1-1-1-1-1-1-1222222-1-1-1-10000-2-22-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-21111111100000000
χ2322222222-12222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-10000222-2-222-2-2-1-1-1-111111111000000000000-2-1-1-1-1111100000000
χ2422222222-12222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-10000-2-2222-2-2-2-2-1-1-1-11111111100000000000021111-1-1-1-100000000
χ2522222222-12222-1-1-1-1-1-1-1-2-22222-1-1-1-1000022-222-2-2-2-21111-1-1-1-11111000000000000-2-1-111-1-11100000000
χ2622222222-12222-1-1-1-1-1-1-1-2-22222-1-1-1-10000-2-2-2-2-222-2-21111-1-1-1-11111000000000000211-1-111-1-100000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1000022-2-2-2-2-22211111111-1-1-1-10000000000002-1-11111-1-100000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-10000-2-2-222222211111111-1-1-1-1000000000000-211-1-1-1-11100000000
χ29222-22-2-2-2222-2-22-2-2-22-220000002-2-222i2i−2i−2i2-200000000000000000002i−2i002i2i−2i−2i000002-200000000000000
χ30222-22-2-2-2222-2-22-2-2-22-220000002-2-222i2i−2i−2i-2200000000000000000002i−2i00−2i−2i2i2i00000-2200000000000000
χ31222-22-2-2-2222-2-22-2-2-22-220000002-2-22−2i−2i2i2i2-20000000000000000000−2i2i00−2i−2i2i2i000002-200000000000000
χ32222-22-2-2-2222-2-22-2-2-22-220000002-2-22−2i−2i2i2i-220000000000000000000−2i2i002i2i−2i−2i00000-2200000000000000
χ33222-22-2-2-22-2-2222-2-2-22-22000000-222-22i2i−2i−2i000002i−2i00000000000000−2i2i00000000000002i−2i00002-2000000
χ34222-22-2-2-22-2-2222-2-2-22-22000000-222-22i2i−2i−2i00000−2i2i00000000000000−2i2i0000000000000−2i2i0000-22000000
χ35222-22-2-2-22-2-2222-2-2-22-22000000-222-2−2i−2i2i2i000002i−2i000000000000002i−2i00000000000002i−2i0000-22000000
χ36222-22-2-2-22-2-2222-2-2-22-22000000-222-2−2i−2i2i2i00000−2i2i000000000000002i−2i0000000000000−2i2i00002-2000000
χ3722-22-2-2-2222-22-2-2-222-2-22002i2i−2i−2i22-2-2000000000000000002i2i−2i−2i000000002-22-200000000000000002i−2i000
χ3822-22-2-2-2222-22-2-2-222-2-22002i2i−2i−2i22-2-2000000000000000002i2i−2i−2i00000000-22-220000000000000000−2i2i000
χ3922-22-2-2-2222-22-2-2-222-2-2200−2i−2i2i2i22-2-200000000000000000−2i−2i2i2i000000002-22-20000000000000000−2i2i000
χ4022-22-2-2-2222-22-2-2-222-2-2200−2i−2i2i2i22-2-200000000000000000−2i−2i2i2i00000000-22-2200000000000000002i−2i000
χ4122-2-2-222-222-2-22-22-2-2-2220000002-22-200000002i−2i000000000000000000002i−2i−2i2i22-2-2000002i−2i0000000000
χ4222-2-2-222-222-2-22-22-2-2-2220000002-22-200000002i−2i00000000000000000000−2i2i2i−2i-2-222000002i−2i0000000000
χ4322-2-2-222-222-2-22-22-2-2-2220000002-22-20000000−2i2i000000000000000000002i−2i−2i2i-2-22200000−2i2i0000000000
χ4422-2-2-222-222-2-22-22-2-2-2220000002-22-20000000−2i2i00000000000000000000−2i2i2i−2i22-2-200000−2i2i0000000000
χ452-2-2222-2-220000-222-22-2-22i−2i2−22−200002i−2i2i−2i0000000−i2i22i−2i002−22−2−i2−i2i2i2002-20000−i2i2−i2i2000000000000002−20
χ462-2-2222-2-220000-222-22-2-22i−2i2−22−20000−2i2i−2i2i0000000−i2i22i−2i002−22−2−i2−i2i2i200-220000i2−i2i2−i200000000000000−220
χ472-2-2222-2-220000-222-22-2-22i−2i−22−2200002i−2i2i−2i0000000i2−i22i−2i00−22−22i2i2−i2−i2002-20000i2−i2i2−i200000000000000−220
χ482-2-2222-2-220000-222-22-2-22i−2i−22−220000−2i2i−2i2i0000000i2−i22i−2i00−22−22i2i2−i2−i200-220000−i2i2−i2i2000000000000002−20
χ492-2-2222-2-220000-222-22-2-2−2i2i2−22−200002i−2i2i−2i0000000i2−i2−2i2i002−22−2i2i2−i2−i200-220000−i2i2−i2i200000000000000−220
χ502-2-2222-2-220000-222-22-2-2−2i2i2−22−20000−2i2i−2i2i0000000i2−i2−2i2i002−22−2i2i2−i2−i2002-20000i2−i2i2−i2000000000000002−20
χ512-2-2222-2-220000-222-22-2-2−2i2i−22−2200002i−2i2i−2i0000000−i2i2−2i2i00−22−22−i2−i2i2i200-220000i2−i2i2−i2000000000000002−20
χ522-2-2222-2-220000-222-22-2-2−2i2i−22−220000−2i2i−2i2i0000000−i2i2−2i2i00−22−22−i2−i2i2i2002-20000−i2i2−i2i200000000000000−220
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-24400002222000000-4000000-2-2220000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-400002222000000400000022-2-20000000000000000000000000000000000000
χ55444-44-4-4-4-244-4-4-2222-22-2000000-222-200004-400000000000000000000000000000000-2200000000000000
χ56444-44-4-4-4-244-4-4-2222-22-2000000-222-20000-44000000000000000000000000000000002-200000000000000
χ57444-44-4-4-4-2-4-444-2222-22-20000002-2-220000000004i−4i00000000000000000000000000000−2i2i000000000000
χ58444-44-4-4-4-2-4-444-2222-22-20000002-2-22000000000−4i4i000000000000000000000000000002i−2i000000000000
χ5944-44-4-4-444-44-44-4-444-4-44000000-4-444000000000000000000000000000000000000000000000000000000
χ6044-44-4-4-44-24-44-422-2-222-2004i4i−4i−4i-2-22200000000000000000−2i−2i2i2i000000000000000000000000000000000
χ6144-44-4-4-44-24-44-422-2-222-200−4i−4i4i4i-2-222000000000000000002i2i−2i−2i000000000000000000000000000000000
χ6244-44-4-4-44-2-44-4422-2-222-200000022-2-2000000000000000000000−2i32i3−2i32i300000000000000000000000000000
χ6344-44-4-4-44-2-44-4422-2-222-200000022-2-20000000000000000000002i3−2i32i3−2i300000000000000000000000000000
χ6444-4-4-444-44-444-4-44-4-4-444000000-44-44000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-4-24-4-442-2222-2-2000000-22-2200000004i−4i000000000000000000000000000000000−2i2i0000000000
χ6644-4-4-444-4-24-4-442-2222-2-2000000-22-220000000−4i4i0000000000000000000000000000000002i−2i0000000000
χ6744-4-4-444-4-2-444-42-2222-2-20000002-22-200000000000000000000000000000000000000000000−2i32i300000000
χ6844-4-4-444-4-2-444-42-2222-2-20000002-22-2000000000000000000000000000000000000000000002i3−2i300000000
χ694-444-4-44-4400004-44-4-44-400−2i22i22i2−2i2000000000000000000000−2i22i22i2−2i2000000000000000000000000000000000
χ704-444-4-44-4400004-44-4-44-4002i2−2i2−2i22i20000000000000000000002i2−2i2−2i22i2000000000000000000000000000000000
χ714-444-4-44-4-20000-22-222-2200−2i22i22i2−2i20000000000000000000−2i32i3i2−i2−i2i26−6−6600000000000000000000000000000
χ724-444-4-44-4-20000-22-222-2200−2i22i22i2−2i200000000000000000002i3−2i3i2−i2−i2i2−666−600000000000000000000000000000
χ734-444-4-44-4-20000-22-222-22002i2−2i2−2i22i20000000000000000000−2i32i3−i2i2i2−i2−666−600000000000000000000000000000
χ744-444-4-44-4-20000-22-222-22002i2−2i2−2i22i200000000000000000002i3−2i3−i2i2i2−i26−6−6600000000000000000000000000000
χ754-44-4-44-444000044-44-4-4-40000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ764-44-4-44-444000044-44-4-4-400000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ774-4-4444-4-4-200002-2-22-2224i−4i22−2222−22000000000000000−2i22i2−2i2i00−22−22i2i2−i2−i200000000000000000000000000000
χ784-4-4444-4-4-200002-2-22-2224i−4i−2222−22220000000000000002i2−2i2−2i2i002−22−2−i2−i2i2i200000000000000000000000000000
χ794-4-4444-4-4-200002-2-22-222−4i4i22−2222−220000000000000002i2−2i22i−2i00−22−22−i2−i2i2i200000000000000000000000000000
χ804-4-4444-4-4-200002-2-22-222−4i4i−2222−2222000000000000000−2i22i22i−2i002−22−2i2i2−i2−i200000000000000000000000000000
χ814-4-4-44-44440000-4-4-4444-400000000004-4-4400000000000000000000000000000000000000000000000000
χ824-4-4-44-44440000-4-4-4444-40000000000-444-400000000000000000000000000000000000000000000000000
χ838-88-8-88-88-40000-4-44-44440000000000000000000000000000000000000000000000000000000000000000
χ848-8-8-88-888-40000444-4-4-440000000000000000000000000000000000000000000000000000000000000000

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