Finite Group Databasebeta

← Group #11792570

Character table — Group #11792570

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888888888888999918182424242424242424363636363636363636364848484848484848
order1222443366666688121212122424242424242424222244222244444444888888666612121212
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ811111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
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
χ1522-2-2002222-2-2-2-2i2−i20000i2i2i2i2−i2−i2−i2−i22-22-20000000000002-2i2−i2i2−i2i2−i200000000
χ1622-2-2002222-2-2-2-2i2−i20000i2i2i2i2−i2−i2−i2−i22-22-2000000000000-22i2−i2−i2i2−i2i200000000
χ1722-2-2002222-2-2-2-2i2−i20000i2i2i2i2−i2−i2−i2−i2-22-2200000000002-200−i2i2i2−i2−i2i200000000
χ1822-2-2002222-2-2-2-2i2−i20000i2i2i2i2−i2−i2−i2−i2-22-220000000000-2200−i2i2−i2i2i2−i200000000
χ1922-2-2002222-2-2-2-2−i2i20000−i2−i2−i2−i2i2i2i2i22-22-20000000000002-2−i2i2−i2i2−i2i200000000
χ2022-2-2002222-2-2-2-2−i2i20000−i2−i2−i2−i2i2i2i2i22-22-2000000000000-22−i2i2i2−i2i2−i200000000
χ2122-2-2002222-2-2-2-2−i2i20000−i2−i2−i2−i2i2i2i2i2-22-2200000000002-200i2−i2−i2i2i2−i200000000
χ2222-2-2002222-2-2-2-2−i2i20000−i2−i2−i2−i2i2i2i2i2-22-220000000000-2200i2−i2i2−i2−i2i200000000
χ232-2-222-222-2-2-22-220022-2-20000000022-2-22-200002i−2i00000000000000002i−2i00
χ242-2-222-222-2-2-22-220022-2-20000000022-2-22-20000−2i2i0000000000000000−2i2i00
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
χ292-2-22-2222-2-2-22-2200-2-22200000000-2-2222-2002-200000000000000002-20000
χ302-2-22-2222-2-2-22-2200-2-22200000000-2-2222-200-220000000000000000-220000
χ314444441-21-21-2-2144-21-2111-2-211-2-200000000220022000000000000-1-100-1-1
χ324444441-21-21-2-2144-21-2111-2-211-2-200000000-2-200-2-2000000000000110011
χ334444441-21-21-2-21-4-4-21-21-1-122-1-122000000002200-2-2000000000000-1-10011
χ344444441-21-21-2-21-4-4-21-21-1-122-1-12200000000-2-200220000000000001100-1-1
χ35444444-21-21-211-2441-21-2-2-211-2-211000000220022000000000000-1-100-1-100
χ36444444-21-21-211-2441-21-2-2-211-2-211000000-2-200-2-200000000000011001100
χ37444444-21-21-211-2-4-41-21-222-1-122-1-10000002200-2-2000000000000-1-1001100
χ38444444-21-21-211-2-4-41-21-222-1-122-1-1000000-2-200220000000000001100-1-100
χ394-44-40044-4-44-44-4000000000000004-4-440000000000000000000000000000
χ404-44-40044-4-44-44-400000000000000-444-40000000000000000000000000000
χ414-4-444-4-212-121-1-2001-2-12003i−3i003i−3i0000002-2002i−2i000000000000-1100−ii00
χ424-4-444-4-212-121-1-2001-2-12003i−3i003i−3i000000-2200−2i2i0000000000001-100i−i00
χ434-4-444-4-212-121-1-2001-2-1200−3i3i00−3i3i0000002-200−2i2i000000000000-1100i−i00
χ444-4-444-4-212-121-1-2001-2-1200−3i3i00−3i3i000000-22002i−2i0000000000001-100−ii00
χ454-4-44-441-2-12-1-221002-1-213-3003-300000000002-2002-2000000000000-1100-11
χ464-4-44-441-2-12-1-221002-1-213-3003-30000000000-2200-220000000000001-1001-1
χ474-4-44-441-2-12-1-221002-1-21-3300-3300000000002-200-22000000000000-11001-1
χ484-4-44-441-2-12-1-221002-1-21-3300-330000000000-22002-20000000000001-100-11
χ498888-8-82-42-42-4-42004-24-20000000000000000000000000000000000000000
χ508888-8-8-42-42-422-400-24-240000000000000000000000000000000000000000
χ5188-8-8002-42-4-244-24i2−4i20000i2i2−2i2−2i2−i2−i22i22i200000000000000000000000000000000
χ5288-8-8002-42-4-244-2−4i24i20000−i2−i22i22i2i2i2−2i2−2i200000000000000000000000000000000
χ5388-8-800-42-424-2-244i2−4i20000−2i2−2i2i2i22i22i2−i2−i200000000000000000000000000000000
χ5488-8-800-42-424-2-24−4i24i200002i22i2−i2−i2−2i2−2i2i2i200000000000000000000000000000000
χ558-88-8002-4-2424-4-20000003i2−3i200−3i23i20000000000000000000000000000000000
χ568-88-8002-4-2424-4-2000000−3i23i2003i2−3i20000000000000000000000000000000000
χ578-88-800-424-2-4-2240000000032−3200−323200000000000000000000000000000000
χ588-88-800-424-2-4-22400000000−32320032−3200000000000000000000000000000000
χ598-8-888-82-4-24-2-44200-424-20000000000000000000000000000000000000000
χ608-8-88-88-424-242-2-400-242-40000000000000000000000000000000000000000

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