Finite Group Databasebeta

← Group #11792175

Character table — Group #11792175

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122244444444448888888888889918181824242424242424243636484848484848484872727272
order122443344666612126121212121212121212121222244222444884466612121224244488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1-1-111-111-111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-1111111-1-11-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-11111111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1-1-111-1-1-111-1-111
χ71111111-1-11111111-1-1-1-1111-1-1-1-111111-1-11111-1-1-1-11-1-1111-1-1-1-111
χ81111111-1-11111111-1-1-1-1111-1-1-1-111111-1-1-111-111-1-1-1-1-1-1111111-1-1
χ9222222222222222222222222222-2-2-2-2-200000000-2-2000000000000
χ102222222-2-22222222-2-2-2-2222-2-2-2-2-2-2-2-2-20000000022000000000000
χ11222-2-222002222-2-220000-2-2-20000222-2-22-20000000002-2000000000
χ12222-2-222002222-2-220000-2-2-20000222-2-2-22000000000-22000000000
χ13222-2-222002222-2-220000-2-2-20000-2-2-2220002-20000000002-2000000
χ14222-2-222002222-2-220000-2-2-20000-2-2-222000-22000000000-22000000
χ1522-22-22200-2-222-2-2-2000022-2000022-2-2200200-20000200-200000000
χ1622-22-22200-2-222-2-2-2000022-2000022-2-2200-20020000-200200000000
χ1722-22-22200-2-222-2-2-2000022-20000-2-222-20000002i−2i000000002i−2i0000
χ1822-22-22200-2-222-2-2-2000022-20000-2-222-2000000−2i2i00000000−2i2i0000
χ1922-2-222200-2-22222-20000-2-22000022-22-20000000000000000002-200
χ2022-2-222200-2-22222-20000-2-22000022-22-2000000000000000000-2200
χ2122-2-222200-2-22222-20000-2-220000-2-22-22000000000000000000002-2
χ2222-2-222200-2-22222-20000-2-220000-2-22-2200000000000000000000-22
χ23444441-244-2-21-2111-2-2-2-21-2-21111000000020022200-100-100-1-10000
χ24444441-244-2-21-2111-2-2-2-21-2-211110000000-200-2-2-200100100110000
χ25444441-2-4-4-2-21-211122221-2-2-1-1-1-100000002002-2-200-100-100110000
χ26444441-2-4-4-2-21-211122221-2-2-1-1-1-10000000-200-22200100100-1-10000
χ2744444-214411-21-2-2-21111-211-2-2-2-20000022022000000-1-10-1-1000000
χ2844444-214411-21-2-2-21111-211-2-2-2-200000-2-20-2-200000011011000000
χ2944444-21-4-411-21-2-2-2-1-1-1-1-211222200000220-2-2000000-1-1011000000
χ3044444-21-4-411-21-2-2-2-1-1-1-1-211222200000-2-2022000000110-1-1000000
χ31444-4-4-210011-2122-233-3-32-1-10000000002-202-2000000-110-11000000
χ32444-4-4-210011-2122-233-3-32-1-1000000000-220-220000001-101-1000000
χ33444-4-4-210011-2122-2-3-3332-1-10000000002-20-22000000-1101-1000000
χ34444-4-4-210011-2122-2-3-3332-1-1000000000-2202-20000001-10-11000000
χ3544-44-41-200221-2-1-1-100001-223i3i−3i−3i0000000200-22i−2i00-100100−ii0000
χ3644-44-41-200221-2-1-1-100001-223i3i−3i−3i0000000-2002−2i2i00100-100i−i0000
χ3744-44-41-200221-2-1-1-100001-22−3i−3i3i3i0000000200-2−2i2i00-100100i−i0000
χ3844-44-41-200221-2-1-1-100001-22−3i−3i3i3i0000000-20022i−2i00100-100−ii0000
χ394-4000442i−2i00-4-40002i−2i2i−2i0002i−2i2i−2i4-4000000000002i−2i000000000000
χ404-4000442i−2i00-4-40002i−2i2i−2i0002i−2i2i−2i-4400000000000−2i2i000000000000
χ414-400044−2i2i00-4-4000−2i2i−2i2i000−2i2i−2i2i4-400000000000−2i2i000000000000
χ424-400044−2i2i00-4-4000−2i2i−2i2i000−2i2i−2i2i-44000000000002i−2i000000000000
χ43888-8-82-400-4-42-4-2-220000-2440000000000000000000000000000000
χ4488-88-8-4200-2-2-424440000-42-20000000000000000000000000000000
χ4588-8-882-400442-422-20000-24-40000000000000000000000000000000
χ4688-8-88-4200-2-2-42-4-4400004-220000000000000000000000000000000
χ478-80002-44i−4i00-246i−6i0−2i2i−2i2i0003+i−3−i−3+i3−i000000000000000000000000000
χ488-80002-44i−4i00-24−6i6i0−2i2i−2i2i000−3+i3−i3+i−3−i000000000000000000000000000
χ498-80002-4−4i4i00-246i−6i02i−2i2i−2i000−3−i3+i3−i−3+i000000000000000000000000000
χ508-80002-4−4i4i00-24−6i6i02i−2i2i−2i0003−i−3+i−3−i3+i000000000000000000000000000
χ518-8000-424i−4i6-64-20004i−4i−2i2i000−2i2i−2i2i000000000000000000000000000
χ528-8000-424i−4i-664-2000−2i2i4i−4i000−2i2i−2i2i000000000000000000000000000
χ538-8000-42−4i4i6-64-2000−4i4i2i−2i0002i−2i2i−2i000000000000000000000000000
χ548-8000-42−4i4i-664-20002i−2i−4i4i0002i−2i2i−2i000000000000000000000000000

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