Finite Group Databasebeta

← Group #10830951

Character table — Group #10830951

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444446666888888888888888888881212121212121616161616161616161624242424242424244848
order122222223444466666668888121212122222444444881212121224242424242424244488884412121212121212122444448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ311111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ911111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-11111-1-1-1-11-1
χ1011111111111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-111-1-1-11
χ1111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-111-1-111-11
χ1211111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-1-1-111-1-1-1-111111-1
χ1311111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-11111-11
χ1411111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1111-1
χ1511111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-11-1-11111-1-111-1-111-1-11-1
χ1611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-1111111-1-1-1-1-11
χ17222222222-2-2-2-222222220000-2-2-2-222222-200000022-2-200000000-2-2000000000000002-200000000
χ18222222222-2-2-2-222222220000-2-2-2-22222-22000000-2-22200000000-2-200000000000000-2200000000
χ19222222222-2-2-2-222222220000-2-2-2-2-2-2-2-22-200000022-2-2000000002200000000000000-2200000000
χ20222222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-22000000-2-2220000000022000000000000002-200000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1-1-10000000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-1000022-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2111111110000000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-10000-2-22222-2-21111-1-1-1-11111000000-2-21111-1-1-1-10000000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-2-2-2-2-21111-1-1-1-1111100000022-1-1-1-111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-100002222-2-2-2-2-1-1-1-1111111110000002-2-1-111-1-1110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1000022-2-222-2-2-1-1-1-111111111000000-2211-1-111-1-10000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000-2-222-2-22211111111-1-1-1-1000000-2211-1-1-1-1110000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000-2-2-2-2222211111111-1-1-1-10000002-2-1-11111-1-10000000000
χ29222-2-2-2-22222-2-2-2-222-2-22000022-2-222-2-20000002i−2i000000002i2i−2i−2i2-2000000000000000000002i−2i00
χ30222-2-2-2-22222-2-2-2-222-2-22000022-2-222-2-2000000−2i2i00000000−2i−2i2i2i2-200000000000000000000−2i2i00
χ31222-2-2-2-22222-2-2-2-222-2-22000022-2-2-2-2220000002i−2i000000002i2i−2i−2i-2200000000000000000000−2i2i00
χ32222-2-2-2-22222-2-2-2-222-2-22000022-2-2-2-222000000−2i2i00000000−2i−2i2i2i-22000000000000000000002i−2i00
χ33222-2-2-2-222-2-222-2-222-2-2222-2-2-2-22222-2-200000000000022-2-20000-2222-2-200000000000000000000
χ34222-2-2-2-222-2-222-2-222-2-2222-2-2-2-222-2-22200000000000022-2-200002-2-2-22200000000000000000000
χ35222-2-2-2-222-2-222-2-222-2-22-2-222-2-22222-2-2000000000000-2-2220000-22-2-22200000000000000000000
χ36222-2-2-2-222-2-222-2-222-2-22-2-222-2-222-2-222000000000000-2-22200002-222-2-200000000000000000000
χ372-2-222-2-2222-2-22-2-2-2-22222-22-22-22-200000000000000002-22-200000000000000000000002-22-20000
χ382-2-222-2-2222-2-22-2-2-2-22222-22-22-22-200000000000000002-22-20000000000000000000000-22-220000
χ392-2-222-2-2222-2-22-2-2-2-2222-22-222-22-20000000000000000-22-2200000000000000000000002-2-220000
χ402-2-222-2-2222-2-22-2-2-2-2222-22-222-22-20000000000000000-22-220000000000000000000000-222-20000
χ412-2-2-2-22222-22-2222-2-2-2-222-2-22-222-20000002-22-20000002-2-2200000000000000002-22-20000000000
χ422-2-2-2-22222-22-2222-2-2-2-222-2-22-222-2000000-22-220000002-2-220000000000000000-22-220000000000
χ432-2-2-2-22222-22-2222-2-2-2-22-222-2-222-20000002-2-22000000-222-200000000000000002-2-220000000000
χ442-2-2-2-22222-22-2222-2-2-2-22-222-2-222-2000000-222-2000000-222-20000000000000000-222-20000000000
χ452-2-2-2-2222-1-22-22-1-11111-12-2-221-1-110000002-22-2003−33−3-111-13−33−3000000003−33−3-11-110000000000
χ462-2-2-2-2222-1-22-22-1-11111-12-2-221-1-110000002-22-200−33−33-111-1−33−3300000000−33−33-11-110000000000
χ472-2-2-2-2222-1-22-22-1-11111-12-2-221-1-11000000-22-22003−33−3-111-13−33−300000000−33−331-11-10000000000
χ482-2-2-2-2222-1-22-22-1-11111-12-2-221-1-11000000-22-2200−33−33-111-1−33−33000000003−33−31-11-10000000000
χ492-2-2-2-2222-1-22-22-1-11111-1-222-21-1-110000002-2-22003−33−31-1-11−33−33000000003−3−33-111-10000000000
χ502-2-2-2-2222-1-22-22-1-11111-1-222-21-1-110000002-2-2200−33−331-1-113−33−300000000−333−3-111-10000000000
χ512-2-2-2-2222-1-22-22-1-11111-1-222-21-1-11000000-222-2003−33−31-1-11−33−3300000000−333−31-1-110000000000
χ522-2-2-2-2222-1-22-22-1-11111-1-222-21-1-11000000-222-200−33−331-1-113−33−3000000003−3−331-1-110000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-20000222200004-4000000-2-2220000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2000022220000-4400000022-2-20000000000000000000000000000000000
χ55444-4-4-4-44-244-4-422-2-222-20000-2-22200000000004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ56444-4-4-4-44-244-4-422-2-222-20000-2-2220000000000−4i4i000000002i2i−2i−2i00000000000000000000000000
χ57444-4-4-4-44-2-4-44422-2-222-244-4-422-2-20000000000000000-2-222000000000000000000000000000000
χ58444-4-4-4-44-2-4-44422-2-222-2-4-44422-2-2000000000000000022-2-2000000000000000000000000000000
χ5944-44-44-4-4400004-44-44-4-4000000000000000000000000000000000022−2222−2200000000000000000000
χ6044-44-44-4-4400004-44-44-4-40000000000000000000000000000000000−2222−222200000000000000000000
χ6144-4-44-44-440000-444-4-44-4000000000000000000000000000000000022−22−222200000000000000000000
χ6244-4-44-44-440000-444-4-44-40000000000000000000000000000000000−222222−2200000000000000000000
χ634-444-4-44-440000-44-444-4-4000000004-44-40000000000000000000000000000000000000000000000
χ644-444-4-44-440000-44-444-4-400000000-44-440000000000000000000000000000000000000000000000
χ654-44-444-4-4400004-4-44-44-4000000004-4-440000000000000000000000000000000000000000000000
χ664-44-444-4-4400004-4-44-44-400000000-444-40000000000000000000000000000000000000000000000
χ674-4-444-4-444-444-4-4-4-4-44440000-44-4400000000000000000000000000000000000000000000000000
χ684-4-444-4-44-24-4-442222-2-2-24-44-4-22-220000000000000000-22-22000000000000000000000000000000
χ694-4-444-4-44-24-4-442222-2-2-2-44-44-22-2200000000000000002-22-2000000000000000000000000000000
χ704-4-444-4-44-2-444-42222-2-2-200002-22-200000000000000000000−2i32i32i3−2i300000000000000000000000000
χ714-4-444-4-44-2-444-42222-2-2-200002-22-2000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ724-4-4-4-444444-44-444-4-4-4-4400004-4-4400000000000000000000000000000000000000000000000000
χ734-4-4-4-4444-24-44-4-2-22222-20000-222-200000000000023−23−23230000000000000000000000000000000000
χ744-4-4-4-4444-24-44-4-2-22222-20000-222-2000000000000−232323−230000000000000000000000000000000000
χ7588-88-88-8-8-40000-44-44-4440000000000000000000000000000000000000000000000000000000000
χ7688-8-88-88-8-400004-4-444-440000000000000000000000000000000000000000000000000000000000
χ778-888-8-88-8-400004-44-4-4440000000000000000000000000000000000000000000000000000000000
χ788-88-888-8-8-40000-444-44-440000000000000000000000000000000000000000000000000000000000

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