Finite Group Databasebeta

← Group #11921833

Character table — Group #11921833

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244666666668888121212121212121212121212161616161616161616161818181818181818242424242424242436363636363648484848
order124436881212242422448888361212244468888122424361212242424242424244444886121212242424242488886122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111-11-1111-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111-11-1111-1-11111-1-1-1-11-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ5111111-1-111-1-11111-1-1-1-1111111-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ6111111-1-111-1-11111-1-1-1-11111-1-111111-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ7111111-1-111-1-1-11-11-1-111111111-1-11-1-1111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ8111111-1-111-1-1-11-11-1-1111111-1-111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111
χ911-1-111i−i-1-1i−i1-1-11i−ii−i11-1-11-1i−i-1i−i1-11i−i11-1-1i−iii−i−i-11ii−i−ii−i1-1i−ii−i1-1-11i−i1-11-1i−i
χ1011-1-111i−i-1-1i−i1-1-11i−ii−i11-1-1-11−ii-1−ii-111i−i11-1-1i−iii−i−i-11−i−iiii−i-11−ii−ii-111-1−ii-111-1i−i
χ1111-1-111i−i-1-1i−i-1-111i−i−ii11-1-11-1i−i-1i−i1-11i−i11-1-1i−iii−i−i1-1−i−iii−ii1-1i−ii−i1-11-1−ii-11-11−ii
χ1211-1-111i−i-1-1i−i-1-111i−i−ii11-1-1-11−ii-1−ii-111i−i11-1-1i−iii−i−i1-1ii−i−i−ii-11−ii−ii-11-11i−i1-1-11−ii
χ1311-1-111−ii-1-1−ii1-1-11−ii−ii11-1-11-1−ii-1−ii1-11−ii11-1-1−ii−i−iii-11−i−iii−ii1-1−ii−ii1-1-11−ii1-11-1−ii
χ1411-1-111−ii-1-1−ii1-1-11−ii−ii11-1-1-11i−i-1i−i-111−ii11-1-1−ii−i−iii-11ii−i−i−ii-11i−ii−i-111-1i−i-111-1−ii
χ1511-1-111−ii-1-1−ii-1-111−iii−i11-1-11-1−ii-1−ii1-11−ii11-1-1−ii−i−iii1-1ii−i−ii−i1-1−ii−ii1-11-1i−i-11-11i−i
χ1611-1-111−ii-1-1−ii-1-111−iii−i11-1-1-11i−i-1i−i-111−ii11-1-1−ii−i−iii1-1−i−iiii−i-11i−ii−i-11-11−ii1-1-11i−i
χ1722222222222222222222-1-1-1-1000020000222-1-1-1-1-1-1-1-1-1-12200002200000000000000-1-1-1-1
χ18222222222222-22-2222-2-2-1-1-1-1000020000222-1-1-1-1-1-1-1-1-1-1-2-20000-2-2000000000000001111
χ19222222-2-222-2-22222-2-2-2-2-1-1-1-10000200002-2-2-1-1-1-1111111220000-2-200000000000000-1-111
χ20222222-2-222-2-2-22-22-2-222-1-1-1-10000200002-2-2-1-1-1-1111111-2-20000220000000000000011-1-1
χ212222-1-122-1-1-1-10202220022222222-12222-1-1-1-1-1-1-122-1-1-1-100000000-1-1-1-1-1-1-1-10000000000
χ222222-1-122-1-1-1-1020222002222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-100000000111111110000000000
χ232222-1-1-2-2-1-1110202-2-200222222-2-2-1-2-222-111-1-1-1-1-2-2111100000000-1-11111-1-10000000000
χ242222-1-1-2-2-1-1110202-2-2002222-2-222-122-2-2-111-1-1-1-1-2-211110000000011-1-1-1-1110000000000
χ2522-2-2222i−2i-2-22i−2i2-2-222i−2i2i−2i-1-1110000-2000022i−2i-1-111−ii−i−iii-2200002i−2i00000000000000-11−ii
χ2622-2-2222i−2i-2-22i−2i-2-2222i−2i−2i2i-1-1110000-2000022i−2i-1-111−ii−i−iii2-20000−2i2i000000000000001-1i−i
χ2722-2-222−2i2i-2-2−2i2i2-2-22−2i2i−2i2i-1-1110000-200002−2i2i-1-111i−iii−i−i-220000−2i2i00000000000000-11i−i
χ2822-2-222−2i2i-2-2−2i2i-2-222−2i2i2i−2i-1-1110000-200002−2i2i-1-111i−iii−i−i2-200002i−2i000000000000001-1−ii
χ2922-2-2-1-12i−2i11−ii0-2022i−2i0022-2-22-22i−2i12i−2i2-2-1−ii-1-1112i−2i−i−iii00000000-11−ii−ii-110000000000
χ3022-2-2-1-12i−2i11−ii0-2022i−2i0022-2-2-22−2i2i1−2i2i-22-1−ii-1-1112i−2i−i−iii000000001-1i−ii−i1-10000000000
χ3122-2-2-1-1−2i2i11i−i0-202−2i2i0022-2-22-2−2i2i1−2i2i2-2-1i−i-1-111−2i2iii−i−i00000000-11i−ii−i-110000000000
χ3222-2-2-1-1−2i2i11i−i0-202−2i2i0022-2-2-222i−2i12i−2i-22-1i−i-1-111−2i2iii−i−i000000001-1−ii−ii1-10000000000
χ333333333333333-13-1-1-133000011-1-1-111-1-1-1-1-10000000000-1-1-1-1-1-1-1-111-1-111-1-11111-1-10000
χ343333333333333-13-1-1-1330000-1-111-1-1-111-1-1-10000000000-1-11111-1-1-1-111-1-111-1-1-1-1110000
χ35333333333333-3-1-3-1-1-1-3-3000011-1-1-111-1-1-1-1-100000000001111111111-1-111-1-1-1-1-1-1110000
χ36333333333333-3-1-3-1-1-1-3-30000-1-111-1-1-111-1-1-1000000000011-1-1-1-111-1-111-1-1111111-1-10000
χ37333333-3-333-3-33-13-111-3-300001111-1-1-1-1-1-1110000000000-1-11111111111-1-1-1-111-1-1-1-10000
χ38333333-3-333-3-33-13-111-3-30000-1-1-1-1-11111-1110000000000-1-1-1-1-1-111-1-1-1-11111-1-111110000
χ39333333-3-333-3-3-3-1-3-1113300001111-1-1-1-1-1-111000000000011-1-1-1-1-1-11111-1-1-1-1-1-111110000
χ40333333-3-333-3-3-3-1-3-111330000-1-1-1-1-11111-1110000000000111111-1-1-1-1-1-1111111-1-1-1-10000
χ4133-3-3333i−3i-3-33i−3i31-3-1−ii3i−3i00001-1−ii1i−i-11-1−ii00000000001-1−i−iii−ii1-1−iii−i-11-11i−i-110000
χ4233-3-3333i−3i-3-33i−3i31-3-1−ii3i−3i0000-11i−i1−ii1-1-1−ii00000000001-1ii−i−i−ii-11i−i−ii1-11-1−ii1-10000
χ4333-3-3333i−3i-3-33i−3i-313-1−ii−3i3i00001-1−ii1i−i-11-1−ii0000000000-11ii−i−ii−i1-1−iii−i-111-1−ii1-10000
χ4433-3-3333i−3i-3-33i−3i-313-1−ii−3i3i0000-11i−i1−ii1-1-1−ii0000000000-11−i−iiii−i-11i−i−ii1-1-11i−i-110000
χ4533-3-333−3i3i-3-3−3i3i31-3-1i−i−3i3i00001-1i−i1−ii-11-1i−i00000000001-1ii−i−ii−i1-1i−i−ii-11-11−ii-110000
χ4633-3-333−3i3i-3-3−3i3i31-3-1i−i−3i3i0000-11−ii1i−i1-1-1i−i00000000001-1−i−iiii−i-11−iii−i1-11-1i−i1-10000
χ4733-3-333−3i3i-3-3−3i3i-313-1i−i3i−3i00001-1i−i1−ii-11-1i−i0000000000-11−i−iii−ii1-1i−i−ii-111-1i−i1-10000
χ4833-3-333−3i3i-3-3−3i3i-313-1i−i3i−3i0000-11−ii1i−i1-1-1i−i0000000000-11ii−i−i−ii-11−iii−i1-1-11−ii-110000
χ494444-2-244-2-2-2-204044400-2-2-2-20000-20000-2-2-21111-2-2111100000000000000000000000000
χ504444-2-2-4-4-2-2220404-4-400-2-2-2-20000-20000-222111122-1-1-1-100000000000000000000000000
χ5144-4-4-2-24i−4i22−2i2i0-4044i−4i00-2-222000020000-2−2i2i11-1-1−2i2iii−i−i00000000000000000000000000
χ5244-4-4-2-2−4i4i222i−2i0-404−4i4i00-2-222000020000-22i−2i11-1-12i−2i−i−iii00000000000000000000000000
χ534-44i−4i4-4004i−4i0000000000-222i−2i000000000000-222i−2i000000002+2i−2−2i2−2i−2+2i00000000000000000000
χ544-44i−4i4-4004i−4i0000000000-222i−2i000000000000-222i−2i00000000−2−2i2+2i−2+2i2−2i00000000000000000000
χ554-4−4i4i4-400−4i4i0000000000-22−2i2i000000000000-22−2i2i000000002−2i−2+2i2+2i−2−2i00000000000000000000
χ564-4−4i4i4-400−4i4i0000000000-22−2i2i000000000000-22−2i2i00000000−2+2i2−2i−2−2i2+2i00000000000000000000
χ576666-3-366-3-3-3-30-20-2-2-200000022-2-2122-2-2111000000000000000000-1-111-1-1110000000000
χ586666-3-366-3-3-3-30-20-2-2-2000000-2-2221-2-22211100000000000000000011-1-111-1-10000000000
χ596666-3-3-6-6-3-3330-20-22200000022221-2-2-2-21-1-1000000000000000000-1-1-1-111110000000000
χ606666-3-3-6-6-3-3330-20-222000000-2-2-2-2122221-1-10000000000000000001111-1-1-1-10000000000
χ6166-6-6-3-36i−6i33−3i3i020-2−2i2i0000002-2−2i2i-12i−2i-221i−i000000000000000000-11i−i−ii1-10000000000
χ6266-6-6-3-36i−6i33−3i3i020-2−2i2i000000-222i−2i-1−2i2i2-21i−i0000000000000000001-1−iii−i-110000000000
χ6366-6-6-3-3−6i6i333i−3i020-22i−2i0000002-22i−2i-1−2i2i-221−ii000000000000000000-11−iii−i1-10000000000
χ6466-6-6-3-3−6i6i333i−3i020-22i−2i000000-22−2i2i-12i−2i2-21−ii0000000000000000001-1i−i−ii-110000000000
χ658-88i−8i8-8008i−8i00000000002-2−2i2i0000000000002-2−2i2i00000000000000000000000000000000
χ668-88i−8i-4400−4i4i00000000002-2−2i2i000000000000-11i−i003ζ−3ζ3ζ3−3ζ300000000000000000000000000
χ678-88i−8i-4400−4i4i00000000002-2−2i2i000000000000-11i−i00−3ζ3ζ−3ζ33ζ300000000000000000000000000
χ688-88i−8i-4400−4i4i0000000000-444i−4i0000000000002-2−2i2i00000000000000000000000000000000
χ698-8−8i8i8-800−8i8i00000000002-22i−2i0000000000002-22i−2i00000000000000000000000000000000
χ708-8−8i8i-44004i−4i00000000002-22i−2i000000000000-11−ii003ζ3−3ζ33ζ−3ζ00000000000000000000000000
χ718-8−8i8i-44004i−4i00000000002-22i−2i000000000000-11−ii00−3ζ33ζ3−3ζ3ζ00000000000000000000000000
χ728-8−8i8i-44004i−4i0000000000-44−4i4i0000000000002-22i−2i00000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.