Finite Group Databasebeta

← Group #11792028

Character table — Group #11792028

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212122288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ112222-2-2-2-22200222222-2-2-2-2-2-2-2-20000000000000000000000000000000000002-222−2−222−2−2
χ122222-2-2-2-22200222222-2-2-2-2-2-2-2-20000000000000000000000000000000000002-2−2−222−2−222
χ132222-2-2-2-22200222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2222−2−2−2−222
χ142222-2-2-2-22200222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000-22−2−22222−2−2
χ1522-2-22-2-22220022-2-2-2-222-2-2-2-2220000000022-2-20000000000000000000000000000002i−2i2i−2i
χ1622-2-22-2-22220022-2-2-2-222-2-2-2-2220000000022-2-2000000000000000000000000000000−2i2i−2i2i
χ1722-2-22-2-22220022-2-2-2-222-2-2-2-22200000000-2-222000000000000000000000000002-22-20000
χ1822-2-22-2-22220022-2-2-2-222-2-2-2-22200000000-2-22200000000000000000000000000-22-220000
χ1922-2-2-222-2222i−2i22-2-2-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000002−2−22−i2i2i2−i2
χ2022-2-2-222-2222i−2i22-2-2-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000−222−2i2−i2−i2i2
χ2122-2-2-222-222−2i2i22-2-2-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000002−2−22i2−i2−i2i2
χ2222-2-2-222-222−2i2i22-2-2-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000−222−2−i2i2i2−i2
χ232-22-2-22-222200-2-222-2-2-2-22-22-222000000002-22-200002-2000000000022-2-200000000000000
χ242-22-2-22-222200-2-222-2-2-2-22-22-222000000002-22-20000-220000000000-2-22200000000000000
χ252-22-2-22-222200-2-222-2-2-2-22-22-22200000000-22-222-200000022-2-20000000000000000000000
χ262-22-2-22-222200-2-222-2-2-2-22-22-22200000000-22-22-22000000-2-2220000000000000000000000
χ272-2-22-2-2222200-2-2-2-222-2-2-22-2222000000002-2-22002-20000000022-2-2000000000000000000
χ282-2-22-2-2222200-2-2-2-222-2-2-22-2222000000002-2-2200-2200000000-2-222000000000000000000
χ292-2-22-2-2222200-2-2-2-222-2-2-22-222200000000-222-20000002-200000000000022-2-20000000000
χ302-2-22-2-2222200-2-2-2-222-2-2-22-222200000000-222-2000000-22000000000000-2-2220000000000
χ31444444441-2441-21-21-21-21-2-211-211-2-211-2-20000002200220000-1-1-1-10000-1-1-1-10000000000
χ32444444441-2441-21-21-21-21-2-211-211-2-211-2-2000000-2-200-2-200001111000011110000000000
χ33444444441-2-4-41-21-21-21-21-2-211-2-1-122-1-1220000002200-2-20000-1-1-1-1000011110000000000
χ34444444441-2-4-41-21-21-21-21-2-211-2-1-122-1-122000000-2-20022000011110000-1-1-1-10000000000
χ3544444444-2144-21-21-21-21-211-2-21-2-211-2-211000022002200-1-1-1-10000-1-1-1-100000000000000
χ3644444444-2144-21-21-21-21-211-2-21-2-211-2-2110000-2-200-2-20011110000111100000000000000
χ3744444444-21-4-4-21-21-21-21-211-2-2122-1-122-1-100002200-2-200-1-1-1-10000111100000000000000
χ3844444444-21-4-4-21-21-21-21-211-2-2122-1-122-1-10000-2-200220011110000-1-1-1-100000000000000
χ3944-4-4-444-41-24i−4i1-2-12-12-121-2-21-12ii−2i−2i−i−i2i2i0000000000000000−i3i3−i3i300003−33−30000000000
χ4044-4-4-444-41-24i−4i1-2-12-12-121-2-21-12ii−2i−2i−i−i2i2i0000000000000000i3−i3i3−i30000−33−330000000000
χ4144-4-4-444-41-2−4i4i1-2-12-12-121-2-21-12−i−i2i2iii−2i−2i0000000000000000−i3i3−i3i30000−33−330000000000
χ4244-4-4-444-41-2−4i4i1-2-12-12-121-2-21-12−i−i2i2iii−2i−2i0000000000000000i3−i3i3−i300003−33−30000000000
χ4344-4-4-444-4-214i−4i-212-12-12-1-211-22-1−2i−2iii2i2i−i−i000000000000−i3i3−i3i300003−33−300000000000000
χ4444-4-4-444-4-214i−4i-212-12-12-1-211-22-1−2i−2iii2i2i−i−i000000000000i3−i3i3−i30000−33−3300000000000000
χ4544-4-4-444-4-21−4i4i-212-12-12-1-211-22-12i2i−i−i−2i−2iii000000000000−i3i3−i3i30000−33−3300000000000000
χ4644-4-4-444-4-21−4i4i-212-12-12-1-211-22-12i2i−i−i−2i−2iii000000000000i3−i3i3−i300003−33−300000000000000
χ474-44-44-44-41-200-121-2-121-2-1-221-123i−3i003i−3i000000000000000000−i3i3i3−i300003−3−330000000000
χ484-44-44-44-41-200-121-2-121-2-1-221-123i−3i003i−3i000000000000000000i3−i3−i3i30000−333−30000000000
χ494-44-44-44-41-200-121-2-121-2-1-221-12−3i3i00−3i3i000000000000000000−i3i3i3−i30000−333−30000000000
χ504-44-44-44-41-200-121-2-121-2-1-221-12−3i3i00−3i3i000000000000000000i3−i3−i3i300003−3−330000000000
χ514-44-44-44-44400-4-444-4-444-44-44-4-40000000000000000000000000000000000000000000000
χ524-44-4-44-44-21002-1-212-12-1-2-112-21003-3003-300002-2002-200-1-1110000-1-11100000000000000
χ534-44-4-44-44-21002-1-212-12-1-2-112-21003-3003-30000-2200-220011-1-1000011-1-100000000000000
χ544-44-4-44-44-21002-1-212-12-1-2-112-2100-3300-3300002-200-2200-1-111000011-1-100000000000000
χ554-44-4-44-44-21002-1-212-12-1-2-112-2100-3300-330000-22002-20011-1-10000-1-11100000000000000
χ564-4-4444-4-44400-4-4-4-444444-44-4-4-40000000000000000000000000000000000000000000000
χ574-4-4444-4-4-21002-12-1-21-21-2-1122-1003i−3i00−3i3i000000000000−i3i3i3−i300003−3−3300000000000000
χ584-4-4444-4-4-21002-12-1-21-21-2-1122-1003i−3i00−3i3i000000000000i3−i3−i3i30000−333−300000000000000
χ594-4-4444-4-4-21002-12-1-21-21-2-1122-100−3i3i003i−3i000000000000−i3i3i3−i30000−333−300000000000000
χ604-4-4444-4-4-21002-12-1-21-21-2-1122-100−3i3i003i−3i000000000000i3−i3−i3i300003−3−3300000000000000
χ614-4-44-4-4441-200-12-121-2-12-1-2211-23-300-33000000002-2002-20000-1-1110000-1-1110000000000
χ624-4-44-4-4441-200-12-121-2-12-1-2211-23-300-3300000000-2200-22000011-1-1000011-1-10000000000
χ634-4-44-4-4441-200-12-121-2-12-1-2211-2-33003-3000000002-200-220000-1-111000011-1-10000000000
χ644-4-44-4-4441-200-12-121-2-12-1-2211-2-33003-300000000-22002-2000011-1-10000-1-1110000000000
χ658888-8-8-8-82-4002-42-42-4-24-244-2-240000000000000000000000000000000000000000000000
χ668888-8-8-8-8-4200-42-42-424-24-2-244-20000000000000000000000000000000000000000000000
χ6788-8-88-8-882-4002-4-24-242-4-244-22-40000000000000000000000000000000000000000000000
χ6888-8-88-8-88-4200-424-24-2-424-2-24-420000000000000000000000000000000000000000000000
χ698-88-88-88-8-42004-2-424-2-4242-2-44-20000000000000000000000000000000000000000000000
χ708-88-8-88-882-400-242-4-24-2424-4-22-40000000000000000000000000000000000000000000000
χ718-8-8888-8-82-400-24-242-42-424-4-2-240000000000000000000000000000000000000000000000
χ728-8-88-8-888-42004-24-2-424-242-2-4-420000000000000000000000000000000000000000000000

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