Finite Group Databasebeta

← Group #10877339

Character table — Group #10877339

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111122222222222244444444444488888888888888888888888888888812121212161616162424242424242424242424242424
order1222222234444666666622441212121212121212444444446688881212121212121212242424242424242444441212121244444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ1011111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111
χ1211111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1
χ1311111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-111
χ1411111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1511111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ17222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-200000000220000000000000000000022-2-20000-22000000000000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2000000002200000000000000000000-2-22200002-2000000000000
χ19222222222-2-2-2-22222222-2-222-2-22222-2-200000000-2-20000000000000000000022-2-200002-2000000000000
χ20222222222-2-2-2-22222222-2-222-2-22222-2-200000000-2-200000000000000000000-2-2220000-22000000000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-222-2-2-1-1-2-2-2-211111111111111110000-1-1-1-100000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-222-2-222-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111110000111100000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1222211111111-1-1-1-1-1-1-1-10000111100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-12222-2-2-2-21122-2-2-1-1-1-11111-1-1-1-111110000-1-11100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-122-2-2-2-22211-2-2221111-1-1-1-11111-1-1-1-10000-1-11100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-2-22222-2-211-2-222-1-1-1-111111111-1-1-1-1000011-1-100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-2-2-2-222221122-2-21111-1-1-1-1-1-1-1-11111000011-1-100000000000000
χ29222-22-2-2-2222-2-22-2-22-2-222-22-22222-2-2-2-22-2002-2002-20000000000000000000000002-22-200000000000000
χ30222-22-2-2-2222-2-22-2-22-2-222-22-22222-2-2-2-2-2200-22002-2000000000000000000000000-22-2200000000000000
χ31222-22-2-2-2222-2-22-2-22-2-22-22-2222-2-222-2-22-200-2200-220000000000000000000000002-2-2200000000000000
χ32222-22-2-2-2222-2-22-2-22-2-22-22-2222-2-222-2-2-22002-200-22000000000000000000000000-222-200000000000000
χ33222-22-2-2-22-2-2222-2-22-2-222-2-22-2-2-2-22222000000002-20000000000000000000000000000002i−2i2i−2i00000000
χ34222-22-2-2-22-2-2222-2-22-2-222-2-22-2-2-2-22222000000002-2000000000000000000000000000000−2i2i−2i2i00000000
χ35222-22-2-2-22-2-2222-2-22-2-22-222-2-2-222-2-22200000000-220000000000000000000000000000002i−2i−2i2i00000000
χ36222-22-2-2-22-2-2222-2-22-2-22-222-2-2-222-2-22200000000-22000000000000000000000000000000−2i2i2i−2i00000000
χ37222-22-2-2-2-122-2-2-111-111-12-22-2-1-1-1-111112-2002-200-11000033−3−333−3−333−3−333−3−30000-11-1100000000000000
χ38222-22-2-2-2-122-2-2-111-111-12-22-2-1-1-1-111112-2002-200-110000−3−333−3−333−3−333−3−3330000-11-1100000000000000
χ39222-22-2-2-2-122-2-2-111-111-12-22-2-1-1-1-11111-2200-2200-11000033−3−333−3−3−3−333−3−33300001-11-100000000000000
χ40222-22-2-2-2-122-2-2-111-111-12-22-2-1-1-1-11111-2200-2200-110000−3−333−3−33333−3−333−3−300001-11-100000000000000
χ41222-22-2-2-2-122-2-2-111-111-1-22-22-1-111-1-1112-200-22001-1000033−3−3−3−33333−3−3−3−3330000-111-100000000000000
χ42222-22-2-2-2-122-2-2-111-111-1-22-22-1-111-1-1112-200-22001-10000−3−33333−3−3−3−33333−3−30000-111-100000000000000
χ43222-22-2-2-2-122-2-2-111-111-1-22-22-1-111-1-111-22002-2001-1000033−3−3−3−333−3−33333−3−300001-1-1100000000000000
χ44222-22-2-2-2-122-2-2-111-111-1-22-22-1-111-1-111-22002-2001-10000−3−33333−3−333−3−3−3−33300001-1-1100000000000000
χ452-2-2-2222-222-22-2-222-2-2-2200002-200002-20000002i−2i00000000002i−2i2i−2i000000002-22-20000000000002i−2i0000
χ462-2-2-2222-222-22-2-222-2-2-2200002-200002-20000002i−2i00000000002i−2i2i−2i00000000-22-22000000000000−2i2i0000
χ472-2-2-2222-222-22-2-222-2-2-2200002-200002-2000000−2i2i0000000000−2i2i−2i2i000000002-22-2000000000000−2i2i0000
χ482-2-2-2222-222-22-2-222-2-2-2200002-200002-2000000−2i2i0000000000−2i2i−2i2i00000000-22-220000000000002i−2i0000
χ492-2-2-2222-22-22-22-222-2-2-220000-220000-22002i−2i00000000002i−2i2i−2i0000000000002-2-2200000000002i−2i000000
χ502-2-2-2222-22-22-22-222-2-2-220000-220000-22002i−2i00000000002i−2i2i−2i000000000000-222-20000000000−2i2i000000
χ512-2-2-2222-22-22-22-222-2-2-220000-220000-2200−2i2i0000000000−2i2i−2i2i0000000000002-2-220000000000−2i2i000000
χ522-2-2-2222-22-22-22-222-2-2-220000-220000-2200−2i2i0000000000−2i2i−2i2i000000000000-222-200000000002i−2i000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-244-4-42222222200000000-2-2000000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-44422-2-2-2-2220000000022000000000000000000000000000000000000000000
χ55444-44-4-4-4-2-4-444-222-222-24-4-442222-2-2-2-200000000-22000000000000000000000000000000000000000000
χ56444-44-4-4-4-2-4-444-222-222-2-444-422-2-222-2-2000000002-2000000000000000000000000000000000000000000
χ5744-44-4-44-44000044-4-44-4-40000000000000000000000000000000000000000000000000000000000000022−22
χ5844-44-4-44-44000044-4-44-4-400000000000000000000000000000000000000000000000000000000000000−2222
χ5944-4-4-44-44400004-44-4-44-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6044-4-4-44-44400004-44-4-44-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ614-444-44-4-440000-4-4444-4-4000000000000000000000022−22000000000022−2222−2200000000000000000000000000
χ624-444-44-4-440000-4-4444-4-40000000000000000000000−22220000000000−2222−222200000000000000000000000000
χ634-444-44-4-4-2000022-2-2-22200000023−2323−2300000000000022−220000000000−22−226−66−60000000000000000000000
χ644-444-44-4-4-2000022-2-2-22200000023−2323−23000000000000−222200000000002−22−2−66−660000000000000000000000
χ654-444-44-4-4-2000022-2-2-222000000−2323−232300000000000022−220000000000−22−22−66−660000000000000000000000
χ664-444-44-4-4-2000022-2-2-222000000−2323−2323000000000000−222200000000002−22−26−66−60000000000000000000000
χ674-44-4-4-44440000-44-44-44-400000000000000000000000022−2200000000000022−22−22220000000000000000000000
χ684-44-4-4-44440000-44-44-44-4000000000000000000000000−2222000000000000−222222−220000000000000000000000
χ694-44-4-4-444-200002-22-22-2200000023−23−23230000000000000022−2200000000−666−6−222−20000000000000000000000
χ704-44-4-4-444-200002-22-22-2200000023−23−232300000000000000−2222000000006−6−662−2−220000000000000000000000
χ714-44-4-4-444-200002-22-22-22000000−232323−230000000000000022−22000000006−6−66−222−20000000000000000000000
χ724-44-4-4-444-200002-22-22-22000000−232323−2300000000000000−222200000000−666−62−2−220000000000000000000000
χ734-4-444-4-4444-4-44-4-4-4-444400004-40000-440000000000000000000000000000000000000000000000000000
χ744-4-444-4-444-444-4-4-4-4-44440000-4400004-40000000000000000000000000000000000000000000000000000
χ754-4-444-4-44-24-4-442222-2-2-20000-2200002-2000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ764-4-444-4-44-24-4-442222-2-2-20000-2200002-20000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ774-4-444-4-44-2-444-42222-2-2-200002-20000-2200000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ784-4-444-4-44-2-444-42222-2-2-200002-20000-22000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ794-4-4-4444-4-24-44-42-2-2222-20000-220000-220000004i−4i0000000000−2i2i−2i2i000000000000000000000000000000
χ804-4-4-4444-4-24-44-42-2-2222-20000-220000-22000000−4i4i00000000002i−2i2i−2i000000000000000000000000000000
χ814-4-4-4444-4-2-44-442-2-2222-200002-200002-2004i−4i0000000000−2i2i−2i2i0000000000000000000000000000000000
χ824-4-4-4444-4-2-44-442-2-2222-200002-200002-200−4i4i00000000002i−2i2i−2i0000000000000000000000000000000000
χ8388-88-8-88-8-40000-4-444-4440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-88-88-40000-44-444-440000000000000000000000000000000000000000000000000000000000000000

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