Finite Group Databasebeta

← Group #11797987

Character table — Group #11797987

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122244444444444444888888888824242424242424242424242424242424363636364848484872727272
order122443366668812122424242461212122424242424242224446688121224242424448866121216161616
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1
χ611111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ711111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111
χ811111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1
χ911-1-1111-111-1i−i-1-1ii−i−i-111-1i−iii−i−i1-11-1i−i11i−i-1-1ii−i−ii−i1-11-1i−i1-1i−i
χ1011-1-1111-111-1i−i-1-1ii−i−i-111-1i−iii−i−i1-1-11i−i-1-1−ii11−i−iiii−i1-11-1i−i-11−ii
χ1111-1-1111-111-1i−i-1-1ii−i−i-111-1i−iii−i−i-111-1−ii11i−i-1-1ii−i−ii−i1-1-11−ii-11−ii
χ1211-1-1111-111-1i−i-1-1ii−i−i-111-1i−iii−i−i-11-11−ii-1-1−ii11−i−iiii−i1-1-11−ii1-1i−i
χ1311-1-1111-111-1−ii-1-1−i−iii-111-1−ii−i−iii1-11-1−ii11−ii-1-1−i−iii−ii1-11-1−ii1-1−ii
χ1411-1-1111-111-1−ii-1-1−i−iii-111-1−ii−i−iii1-1-11−ii-1-1i−i11ii−i−i−ii1-11-1−ii-11i−i
χ1511-1-1111-111-1−ii-1-1−i−iii-111-1−ii−i−iii-111-1i−i11−ii-1-1−i−iii−ii1-1-11i−i-11i−i
χ1611-1-1111-111-1−ii-1-1−i−iii-111-1−ii−i−iii-11-11i−i-1-1i−i11ii−i−i−ii1-1-11i−i1-1−ii
χ17222222222222222222222222222220000000000000000-2-2-2-200000000
χ1822222222222-2-222-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-200000000
χ1922-2-2222-222-22i−2i-2-22i2i−2i−2i-222-22i−2i2i2i−2i−2i0000000000000000−2i2i-2200000000
χ2022-2-2222-222-2−2i2i-2-2−2i−2i2i2i-222-2−2i2i−2i−2i2i2i00000000000000002i−2i-2200000000
χ21444441-2-2-21-2441111111-21-211-2-2-2-2002200-1-122-1-1-1-1-1-1000000000000
χ22444441-2-2-21-2441111111-21-211-2-2-2-200-2-20011-2-2111111000000000000
χ23444441-2-2-21-2-4-411-1-1-1-11-21-2-1-12222002200-1-1-2-2-1-11111000000000000
χ24444441-2-2-21-2-4-411-1-1-1-11-21-2-1-1222200-2-200112211-1-1-1-1000000000000
χ2544444-2111-2144-2-2-2-2-2-2-21-21-2-2111122002200000000000000-1-1-1-10000
χ2644444-2111-2144-2-2-2-2-2-2-21-21-2-21111-2-200-2-20000000000000011110000
χ2744444-2111-21-4-4-2-22222-21-2122-1-1-1-12200-2-200000000000000-1-1110000
χ2844444-2111-21-4-4-2-22222-21-2122-1-1-1-1-2-200220000000000000011-1-10000
χ29444-4-41-2-2-21-200-1-13i3i−3i−3i12-12−3i3i0000000000−i3i300−i3i33−33−3000000000000
χ30444-4-41-2-2-21-200-1-13i3i−3i−3i12-12−3i3i0000000000i3−i300i3−i3−33−33000000000000
χ31444-4-41-2-2-21-200-1-1−3i−3i3i3i12-123i−3i0000000000−i3i300−i3i3−33−33000000000000
χ32444-4-41-2-2-21-200-1-1−3i−3i3i3i12-123i−3i0000000000i3−i300i3−i33−33−3000000000000
χ33444-4-444444400-4-400004-4-4-40000000000000000000000000000000000
χ3444-44-41-22-21200113333-12-1-2-3-30000000000−i3i300i3−i3−i3i3i3−i3000000000000
χ3544-44-41-22-21200113333-12-1-2-3-30000000000i3−i300−i3i3i3−i3−i3i3000000000000
χ3644-44-41-22-2120011-3-3-3-3-12-1-2330000000000−i3i300i3−i3i3−i3−i3i3000000000000
χ3744-44-41-22-2120011-3-3-3-3-12-1-2330000000000i3−i300−i3i3−i3i3i3−i3000000000000
χ3844-44-444-444-400440000-4-4-440000000000000000000000000000000000
χ3944-4-441-22-2124i−4i-1-1ii−i−i-1-212i−i−2i−2i2i2i002-200-1-12i−2i11−i−iii000000000000
χ4044-4-441-22-2124i−4i-1-1ii−i−i-1-212i−i−2i−2i2i2i00-220011−2i2i-1-1ii−i−i000000000000
χ4144-4-441-22-212−4i4i-1-1−i−iii-1-212−ii2i2i−2i−2i002-200-1-1−2i2i11ii−i−i000000000000
χ4244-4-441-22-212−4i4i-1-1−i−iii-1-212−ii2i2i−2i−2i00-2200112i−2i-1-1−i−iii000000000000
χ4344-4-44-21-11-2-14i−4i22−2i−2i2i2i21-2-1−2i2iii−i−i2-2002i−2i00000000000000-11−ii0000
χ4444-4-44-21-11-2-14i−4i22−2i−2i2i2i21-2-1−2i2iii−i−i-2200−2i2i000000000000001-1i−i0000
χ4544-4-44-21-11-2-1−4i4i222i2i−2i−2i21-2-12i−2i−i−iii2-200−2i2i00000000000000-11i−i0000
χ4644-4-44-21-11-2-1−4i4i222i2i−2i−2i21-2-12i−2i−i−iii-22002i−2i000000000000001-1−ii0000
χ47888-8-8-4222-4200440000-4-24-20000000000000000000000000000000000
χ4888-88-8-42-22-4-200-4-400004-2420000000000000000000000000000000000
χ498-80002-404-20006i−6i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000
χ508-80002-404-20006i−6i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000000000000000000000000000
χ518-80002-404-2000−6i6i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13000000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000000000000000000000000000
χ528-80002-404-2000−6i6i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000000000000000000000000000
χ538-8000880-8-800000000000000000000000000000000000000000000000
χ548-8000-426-24-600002i6−2i6−2i62i6000000−i6i6i6−i60000000000000000000000000000
χ558-8000-426-24-60000−2i62i62i6−2i6000000i6−i6−i6i60000000000000000000000000000
χ568-8000-42-6-246000026−2626−26000000−66−660000000000000000000000000000
χ578-8000-42-6-2460000−2626−26260000006−66−60000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.