Finite Group Databasebeta

← Group #11799121

Character table — Group #11799121

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222224444444444444448888888888161616161616161618182424242424242424242424243636364848484848487272
order1223344668836668121212121212242424246881224242424242424242424242424248816161616484848484848484844822666624
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-1-1
χ5111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-11111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-111-1-111
χ9222222222-2-22222-2222222-2-2-2-22002-2-2-2-2-2-20000000022000000000000-2-2200000000
χ10222222222-2-22222-2222222-2-2-2-22002-2-2-2-2-2-200000000-2-200000000000022-200000000
χ112222-1222-122-12-1-122-12-1-1-122-1-1-122-12-1-1-1-1-122-1-1-1-1-1-10000220000-1-1-1-10000200-1-100
χ122222-1222-122-12-1-122-12-1-1-122-1-1-122-12-1-1-1-1-122-1-1-1-1-1-10000-2-2000011110000-2001100
χ132222-1222-122-12-1-122-12-1-1-122-1-1-1-2-2-12-1-1-1-1-1-2-21111110000220000-1-1-1-10000-2001100
χ142222-1222-122-12-1-122-12-1-1-122-1-1-1-2-2-12-1-1-1-1-1-2-21111110000-2-2000011110000200-1-100
χ15222-1222-1222-1-12-12-12-12-1-1-1-122-122-1-12-1-1-1-1-1-122-1-1-1-1002200-1-1-1-1000000020-1-10000
χ16222-1222-1222-1-12-12-12-12-1-1-1-122-122-1-12-1-1-1-1-1-122-1-1-1-100-2-20011110000000-20110000
χ17222-1222-1222-1-12-12-12-12-1-1-1-122-1-2-2-1-12-1-1-1-111-2-21111002200-1-1-1-10000000-20110000
χ18222-1222-1222-1-12-12-12-12-1-1-1-122-1-2-2-1-12-1-1-1-111-2-2111100-2-2001111000000020-1-10000
χ1922-2222-222222-2-22-222-2-2-2-22222-2002-2-222-2-200000000000000000000000000000002-2
χ2022-2222-222222-2-22-222-2-2-2-22222-2002-2-222-2-20000000000000000000000000000000-22
χ2122-2222-222-2-22-2-22222-2-2-2-2-2-2-2-2-22i−2i222-2-2222i−2i2i−2i2i2i−2i−2i0000000000000000000000000
χ2222-2222-222-2-22-2-22222-2-2-2-2-2-2-2-2-2−2i2i222-2-222−2i2i−2i2i−2i−2i2i2i0000000000000000000000000
χ2322-222-2222002-2-220-2-222220000-200-200000000000000222−22−222−2−222−2−200-200000000
χ2422-222-2222002-2-220-2-222220000-200-20000000000000022−22−22−2−222−2−22200-200000000
χ2522-222-2222002-2-220-2-222220000-200-200000000000000-2-22−2−2222−2−2−2−22200200000000
χ2622-222-2222002-2-220-2-222220000-200-200000000000000-2-2−222−2−2−22222−2−200200000000
χ2722-22-12-22-1-2-2-1-21-122-1-2111-2-21112i−2i-12-111-1-12i−2i−ii−i−iii00000000003−33−30000000−i3i300
χ2822-22-12-22-1-2-2-1-21-122-1-2111-2-21112i−2i-12-111-1-12i−2i−ii−i−iii0000000000−33−330000000i3−i300
χ2922-22-12-22-1-2-2-1-21-122-1-2111-2-2111−2i2i-12-111-1-1−2i2ii−iii−i−i00000000003−33−30000000i3−i300
χ3022-22-12-22-1-2-2-1-21-122-1-2111-2-2111−2i2i-12-111-1-1−2i2ii−iii−i−i0000000000−33−330000000−i3i300
χ3122-2-122-2-12-2-2-11-2-12-121-21111-2-212i−2i-1-1211-1-1−ii2i−2i−i−iii0000003−33−3000000000−i3i30000
χ3222-2-122-2-12-2-2-11-2-12-121-21111-2-212i−2i-1-1211-1-1−ii2i−2i−i−iii000000−33−33000000000i3−i30000
χ3322-2-122-2-12-2-2-11-2-12-121-21111-2-21−2i2i-1-1211-1-1i−i−2i2iii−i−i0000003−33−3000000000i3−i30000
χ3422-2-122-2-12-2-2-11-2-12-121-21111-2-21−2i2i-1-1211-1-1i−i−2i2iii−i−i000000−33−33000000000−i3i30000
χ3544444-4-4440044440-4-4-4-4-4-40000400-4000000000000000000000000000000000000000
χ364444-2444-2-4-4-24-2-2-44-24-2-2-2-4-422-200-2-422222000000000000000000000000000000000
χ374444-2-4-44-200-24-2-20-42-42220000-20020000000000000000000000006−6−6600000000000
χ384444-2-4-44-200-24-2-20-42-42220000-2002000000000000000000000000−666−600000000000
χ39444-2444-24-4-4-2-24-2-4-24-24-2-222-4-4-200-22-42222000000000000000000000000000000000
χ40444-24-4-4-2400-2-24-202-42-4220000-2002000000000000000000006−6−66000000000000000
χ41444-24-4-4-2400-2-24-202-42-4220000-200200000000000000000000−666−6000000000000000
χ42444-2-244-2-2441-2-214-2-2-2-211-2-2-2-21441-2-21111-2-2-2-211110000000000000000000000000
χ43444-2-244-2-2441-2-214-2-2-2-211-2-2-2-21-4-41-2-211112222-1-1-1-10000000000000000000000000
χ44444-2-244-2-2-4-41-2-21-4-2-2-2-2112222100122-1-1-1-100003-33-30000000000000000000000000
χ45444-2-244-2-2-4-41-2-21-4-2-2-2-2112222100122-1-1-1-10000-33-330000000000000000000000000
χ4644-44-24-44-244-2-42-2-44-2-422244-2-2200-2-42-2-222000000000000000000000000000000000
χ4744-44-2-444-200-2-42-20-424-2-2-20000200200000000000000000022−220000−2−22200000000000
χ4844-44-2-444-200-2-42-20-424-2-2-200002002000000000000000000−2222000022−2−200000000000
χ4944-4-244-4-2444-22-4-2-4-242-422-2-244200-22-4-2-222000000000000000000000000000000000
χ5044-4-24-44-2400-22-4-202-4-24-2-200002002000000000000000022−2200−2−222000000000000000
χ5144-4-24-44-2400-22-4-202-4-24-2-2000020020000000000000000−22220022−2−2000000000000000
χ5244-4-2-24-4-2-2441221-4-2-222-1-1-2-2-2-2-10012211-1-100003i−3i−3i3i0000000000000000000000000
χ5344-4-2-24-4-2-2441221-4-2-222-1-1-2-2-2-2-10012211-1-10000−3i3i3i−3i0000000000000000000000000
χ5444-4-2-24-4-2-2-4-412214-2-222-1-12222-14i−4i1-2-2-1-111−2i2i−2i2iii−i−i0000000000000000000000000
χ5544-4-2-24-4-2-2-4-412214-2-222-1-12222-1−4i4i1-2-2-1-1112i−2i2i−2i−i−iii0000000000000000000000000
χ564-404400-4-422−22400-4000000022−2222−2200000022−22000000000022−220000000000002-2000000000
χ574-404400-4-422−22400-4000000022−2222−2200000022−220000000000−2222000000000000-22000000000
χ584-404400-4-4−2222400-40000000−2222−2222000000−2222000000000022−22000000000000-22000000000
χ594-404400-4-4−2222400-40000000−2222−2222000000−22220000000000−22220000000000002-2000000000
χ60888-4-4-8-8-4-4002-4-4204444-2-20000200-2000000000000000000000000000000000000000
χ6188-8-4-4-88-4-4002442044-4-4220000-200-2000000000000000000000000000000000000000
χ628-808-400-8442−42-4004000000042−42−2222000000−222200000000000000000000000000000000000
χ638-808-400-84−4242-40040000000−424222−2200000022−2200000000000000000000000000000000000
χ648-80-48004-842−42-40040000000−222242−42000000−222200000000000000000000000000000000000
χ658-80-48004-8−4242-4004000000022−22−424200000022−2200000000000000000000000000000000000
χ668-80-4-4004442−42200-2000006i−6i−2222−22220000002−2−3i23i2000000000000000000000000000000000
χ678-80-4-4004442−42200-200000−6i6i−2222−22220000002−23i2−3i2000000000000000000000000000000000
χ688-80-4-40044−4242200-2000006i−6i22−2222−22000000−223i2−3i2000000000000000000000000000000000
χ698-80-4-40044−4242200-200000−6i6i22−2222−22000000−22−3i23i2000000000000000000000000000000000

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