Finite Group Databasebeta

← Group #11792619

Character table — Group #11792619

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order122244336666668812121212242424242424242422224422444444444488888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ811111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ92222222222222222222222222222-2-2-2-2-2-2000000000000-2-2000000000000
χ1022222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022000000000000
χ112222-2-22222222200-2-2-2-2000000002222-2-20000000022-2-200000000000000
χ122222-2-22222222200-2-2-2-2000000002222-2-200000000-2-22200000000000000
χ132222-2-22222222200-2-2-2-200000000-2-2-2-2220000000000000022-2-200000000
χ142222-2-22222222200-2-2-2-200000000-2-2-2-22200000000000000-2-22200000000
χ152-22-200222-2-2-22-22−200002222−2−2−2−22-22-20000000000002i−2i2−2i2−i2i2−i200000000
χ162-22-200222-2-2-22-22−200002222−2−2−2−22-22-2000000000000−2i2i2−2−i2i2−i2i200000000
χ172-22-200222-2-2-22-22−200002222−2−2−2−2-22-2200000000002i−2i00−22i2−i2−i2i200000000
χ182-22-200222-2-2-22-22−200002222−2−2−2−2-22-220000000000−2i2i00−22−i2i2i2−i200000000
χ192-22-200222-2-2-22-2−220000−2−2−2−222222-22-20000000000002i−2i−22−i2i2−i2i200000000
χ202-22-200222-2-2-22-2−220000−2−2−2−222222-22-2000000000000−2i2i−22i2−i2i2−i200000000
χ212-22-200222-2-2-22-2−220000−2−2−2−22222-22-2200000000002i−2i002−2−i2i2i2−i200000000
χ222-22-200222-2-2-22-2−220000−2−2−2−22222-22-220000000000−2i2i002−2i2−i2−i2i200000000
χ232-2-222-222-2-2-22-220022-2-20000000022-2-22-2002i−2i00000000000000002i−2i0000
χ242-2-222-222-2-2-22-220022-2-20000000022-2-22-200−2i2i0000000000000000−2i2i0000
χ252-2-222-222-2-2-22-220022-2-200000000-2-222-222-200000000000000002-2000000
χ262-2-222-222-2-2-22-220022-2-200000000-2-222-22-220000000000000000-22000000
χ272-2-22-2222-2-2-22-2200-2-2220000000022-2-2-220000002-200000000000000002-2
χ282-2-22-2222-2-2-22-2200-2-2220000000022-2-2-22000000-220000000000000000-22
χ292-2-22-2222-2-2-22-2200-2-22200000000-2-2222-200002-200000000000000002-200
χ302-2-22-2222-2-2-22-2200-2-22200000000-2-2222-20000-220000000000000000-2200
χ314444441-211-2-2-2144-21-2111-2-211-2-20000000000222200000000000000-1-1-1-1
χ324444441-211-2-2-2144-21-2111-2-211-2-20000000000-2-2-2-2000000000000001111
χ334444441-211-2-2-21-4-4-21-21-1-122-1-122000000000022-2-200000000000000-1-111
χ344444441-211-2-2-21-4-4-21-21-1-122-1-1220000000000-2-2220000000000000011-1-1
χ35444444-21-2-2111-2441-21-2-2-211-2-211000000222200000000000000-1-1-1-10000
χ36444444-21-2-2111-2441-21-2-2-211-2-211000000-2-2-2-20000000000000011110000
χ37444444-21-2-2111-2-4-41-21-222-1-122-1-100000022-2-200000000000000-1-1110000
χ38444444-21-2-2111-2-4-41-21-222-1-122-1-1000000-2-2220000000000000011-1-10000
χ3944-4-40044-444-4-4-4000000000000004-4-440000000000000000000000000000
χ4044-4-40044-444-4-4-400000000000000-444-40000000000000000000000000000
χ414-4-444-4-2122-11-1-2001-2-12003i−3i003i−3i0000002-22i−2i00000000000000-11−ii0000
χ424-4-444-4-2122-11-1-2001-2-12003i−3i003i−3i000000-22−2i2i000000000000001-1i−i0000
χ434-4-444-4-2122-11-1-2001-2-1200−3i3i00−3i3i0000002-2−2i2i00000000000000-11i−i0000
χ444-4-444-4-2122-11-1-2001-2-1200−3i3i00−3i3i000000-222i−2i000000000000001-1−ii0000
χ454-4-44-441-2-1-12-221002-1-213-3003-30000000000002-22-200000000000000-11-11
χ464-4-44-441-2-1-12-221002-1-213-3003-3000000000000-22-22000000000000001-11-1
χ474-4-44-441-2-1-12-221002-1-21-3300-330000000000002-2-2200000000000000-111-1
χ484-4-44-441-2-1-12-221002-1-21-3300-33000000000000-222-2000000000000001-1-11
χ498888-8-82-422-4-4-42004-24-20000000000000000000000000000000000000000
χ508888-8-8-42-4-4222-400-24-240000000000000000000000000000000000000000
χ5188-8-8002-4-22-444-200000032−3200−32320000000000000000000000000000000000
χ5288-8-8002-4-22-444-2000000−32320032−320000000000000000000000000000000000
χ5388-8-800-424-42-2-24000000003i2−3i200−3i23i200000000000000000000000000000000
χ5488-8-800-424-42-2-2400000000−3i23i2003i2−3i200000000000000000000000000000000
χ558-88-8002-42-244-4-242−42000022−22−22−2−2222200000000000000000000000000000000
χ568-88-8002-42-244-4-2−42420000−2−2222222−22−2200000000000000000000000000000000
χ578-88-800-42-44-2-22442−420000−22−22222222−2−200000000000000000000000000000000
χ588-88-800-42-44-2-224−424200002222−2−2−22−222200000000000000000000000000000000
χ598-8-888-82-4-2-24-44200-424-20000000000000000000000000000000000000000
χ608-8-88-88-4244-22-2-400-242-40000000000000000000000000000000000000000

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