Finite Group Databasebeta

← Group #11795417

Character table — Group #11795417

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order122244336666668812121212242424242424242422224422444444444488888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111
χ711111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ811111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
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
χ1522-2-22-222-222-2-2-20022-2-20000000022-2-22-22-200000000000000002-2000000
χ1622-2-22-222-222-2-2-20022-2-20000000022-2-22-2-220000000000000000-22000000
χ1722-2-22-222-222-2-2-20022-2-200000000-2-222-2200002i−2i000000000000002i−2i0000
χ1822-2-22-222-222-2-2-20022-2-200000000-2-222-220000−2i2i00000000000000−2i2i0000
χ1922-2-2-2222-222-2-2-200-2-2220000000022-2-2-220000002i−2i00000000000000002i−2i
χ2022-2-2-2222-222-2-2-200-2-2220000000022-2-2-22000000−2i2i0000000000000000−2i2i
χ2122-2-2-2222-222-2-2-200-2-22200000000-2-2222-2002i−2i0000000000000000002i−2i00
χ2222-2-2-2222-222-2-2-200-2-22200000000-2-2222-200−2i2i000000000000000000−2i2i00
χ232-22-200222-2-22-2-2i2−i20000i2i2i2i2−i2−i2−i2−i22-22-20000000000002i−2ii2−i22−22−200000000
χ242-22-200222-2-22-2-2i2−i20000i2i2i2i2−i2−i2−i2−i22-22-2000000000000−2i2ii2−i2−22−2200000000
χ252-22-200222-2-22-2-2i2−i20000i2i2i2i2−i2−i2−i2−i2-22-2200000000002i−2i00−i2i22−2−2200000000
χ262-22-200222-2-22-2-2i2−i20000i2i2i2i2−i2−i2−i2−i2-22-220000000000−2i2i00−i2i2−222−200000000
χ272-22-200222-2-22-2-2−i2i20000−i2−i2−i2−i2i2i2i2i22-22-20000000000002i−2i−i2i2−22−2200000000
χ282-22-200222-2-22-2-2−i2i20000−i2−i2−i2−i2i2i2i2i22-22-2000000000000−2i2i−i2i22−22−200000000
χ292-22-200222-2-22-2-2−i2i20000−i2−i2−i2−i2i2i2i2i2-22-2200000000002i−2i00i2−i2−222−200000000
χ302-22-200222-2-22-2-2−i2i20000−i2−i2−i2−i2i2i2i2i2-22-220000000000−2i2i00i2−i22−2−2200000000
χ314444441-2-21-211-2441-21-211-2-211-2-20000000022002200000000000000-1-1-1-1
χ324444441-2-21-211-2441-21-211-2-211-2-200000000-2-200-2-2000000000000001111
χ334444441-2-21-211-2-4-41-21-2-1-122-1-122000000002200-2-200000000000000-1-111
χ344444441-2-21-211-2-4-41-21-2-1-122-1-12200000000-2-200220000000000000011-1-1
χ35444444-211-21-2-2144-21-21-2-211-2-211000000220022000000000000-1-1-1-10000
χ36444444-211-21-2-2144-21-21-2-211-2-211000000-2-200-2-200000000000011110000
χ37444444-211-21-2-21-4-4-21-2122-1-122-1-10000002200-2-2000000000000-1-1110000
χ38444444-211-21-2-21-4-4-21-2122-1-122-1-1000000-2-2002200000000000011-1-10000
χ3944-4-44-4-21-1-2122-100-212-1003i−3i003i−3i0000002-2002i−2i000000000000-11−ii0000
χ4044-4-44-4-21-1-2122-100-212-1003i−3i003i−3i000000-2200−2i2i0000000000001-1i−i0000
χ4144-4-44-4-21-1-2122-100-212-100−3i3i00−3i3i0000002-200−2i2i000000000000-11i−i0000
χ4244-4-44-4-21-1-2122-100-212-100−3i3i00−3i3i000000-22002i−2i0000000000001-1−ii0000
χ4344-4-4-441-221-2-1-1200-121-23-3003-300000000002i−2i002i−2i00000000000000−ii−ii
χ4444-4-4-441-221-2-1-1200-121-23-3003-30000000000−2i2i00−2i2i00000000000000i−ii−i
χ4544-4-4-441-221-2-1-1200-121-2-3300-3300000000002i−2i00−2i2i00000000000000−iii−i
χ4644-4-4-441-221-2-1-1200-121-2-3300-330000000000−2i2i002i−2i00000000000000i−i−ii
χ474-4-440044-4-4-4-444000000000000004-4-440000000000000000000000000000
χ484-4-440044-4-4-4-44400000000000000-444-40000000000000000000000000000
χ498888-8-82-4-42-422-400-24-240000000000000000000000000000000000000000
χ508888-8-8-422-42-4-42004-24-20000000000000000000000000000000000000000
χ5188-8-88-82-442-4-2-24002-4-240000000000000000000000000000000000000000
χ5288-8-8-88-42-2-4244-2004-2-420000000000000000000000000000000000000000
χ538-88-8002-4-4-242-244i2−4i20000i2i2−2i2−2i2−i2−i22i22i200000000000000000000000000000000
χ548-88-8002-4-4-242-24−4i24i20000−i2−i22i22i2i2i2−2i2−2i200000000000000000000000000000000
χ558-88-800-4224-2-44-24i2−4i20000−2i2−2i2i2i22i22i2−i2−i200000000000000000000000000000000
χ568-88-800-4224-2-44-2−4i24i200002i22i2−i2−i2−2i2−2i2i2i200000000000000000000000000000000
χ578-8-88002-44-24-22-40000003i2−3i200−3i23i20000000000000000000000000000000000
χ588-8-88002-44-24-22-4000000−3i23i2003i2−3i20000000000000000000000000000000000
χ598-8-8800-42-24-24-420000000032−3200−323200000000000000000000000000000000
χ608-8-8800-42-24-24-4200000000−32320032−3200000000000000000000000000000000

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