Finite Group Databasebeta

← Group #11792424

Character table — Group #11792424

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122244444444448888888888889918181824242424242424243636484848484848484872727272
order12222334466666666661212121212121212444442244444422661212121212128888
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-111-1-1111-111-1-11-1-1-1-1-1
χ311111111111111111111111111111111-11-11-1-11111-11-1-111-11-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ61111111-1-11111111111-1-1-1-1-1-1-1-1111111-11-1-1-111-1-11-1-1-1111-111-1-1
χ71111111-1-11111111111-1-1-1-1-1-1-1-111111-11-1111-1-1-1-1-1111-1-1-1111-1-1
χ81111111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ9222222222222222222222222222-2-2-2-2-200000000-2-2000000000000
χ102222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000022000000000000
χ11222-2-22200-2-2-2-22222-2-20000000022-2-22000000000000000000002-2
χ12222-2-22200-2-2-2-22222-2-20000000022-2-2200000000000000000000-22
χ13222-2-22200-2-2-2-22222-2-200000000-2-222-20000000000000000002i−2i00
χ14222-2-22200-2-2-2-22222-2-200000000-2-222-2000000000000000000−2i2i00
χ1522-22-2220022-2-222-2-22-200000000222-2-20000002-20000002-2000000
χ1622-22-2220022-2-222-2-22-200000000222-2-2000000-22000000-22000000
χ1722-22-2220022-2-222-2-22-200000000-2-2-222020-20000000200000-20000
χ1822-22-2220022-2-222-2-22-200000000-2-2-2220-2020000000-20000020000
χ1922-2-222200-2-22222-2-2-220000000022-22-200002-20000002-200000000
χ2022-2-222200-2-22222-2-2-220000000022-22-20000-22000000-2200000000
χ2122-2-222200-2-22222-2-2-2200000000-2-22-2220-20000000200000-200000
χ2222-2-222200-2-22222-2-2-2200000000-2-22-22-2020000000-200000200000
χ23444441-24411-2-21-21-2-211111-2-2-2-20000002020022000-100-1-10-10000
χ24444441-24411-2-21-21-2-211111-2-2-2-2000000-20-200-2-200010011010000
χ25444441-2-4-411-2-21-21-2-21-1-1-1-1222200000020200-2-2000-100110-10000
χ26444441-2-4-411-2-21-21-2-21-1-1-1-12222000000-20-20022000100-1-1010000
χ2744444-2144-2-211-21-211-2-2-2-2-21111000002020220000-10-1-100-100000
χ2844444-2144-2-211-21-211-2-2-2-2-2111100000-20-20-2-20000101100100000
χ2944444-21-4-4-2-211-21-211-22222-1-1-1-1000002020-2-20000-101100-100000
χ3044444-21-4-4-2-211-21-211-22222-1-1-1-100000-20-2022000010-1-100100000
χ3144-44-41-20011221-2-12-2-133-3-3000000000020-2002-2000-100-11010000
χ3244-44-41-20011221-2-12-2-133-3-30000000000-20200-220001001-10-10000
χ3344-44-41-20011221-2-12-2-1-3-333000000000020-200-22000-1001-1010000
χ3444-44-41-20011221-2-12-2-1-3-3330000000000-202002-2000100-110-10000
χ3544-4-44-21002211-212-1-1-2000033-3-30000020-202-20000-10-1100100000
χ3644-4-44-21002211-212-1-1-2000033-3-300000-2020-220000101-100-100000
χ3744-4-44-21002211-212-1-1-20000-3-3330000020-20-220000-101-100100000
χ3844-4-44-21002211-212-1-1-20000-3-33300000-20202-2000010-1100-100000
χ394-4000442i−2i0000-4-400002i−2i2i−2i2i−2i2i−2i4i−4i000000000002-2000000000000
χ404-4000442i−2i0000-4-400002i−2i2i−2i2i−2i2i−2i−4i4i00000000000-22000000000000
χ414-400044−2i2i0000-4-40000−2i2i−2i2i−2i2i−2i2i4i−4i00000000000-22000000000000
χ424-400044−2i2i0000-4-40000−2i2i−2i2i−2i2i−2i2i−4i4i000000000002-2000000000000
χ43888-8-82-400-2-2442-42-44-200000000000000000000000000000000000
χ44888-8-8-420044-2-2-42-42-2400000000000000000000000000000000000
χ4588-88-8-4200-4-4-2-2-424-22400000000000000000000000000000000000
χ4688-8-882-400-2-2-4-42-4-244200000000000000000000000000000000000
χ478-80002-44i−4i6-600-2400004i−4i−2i2i−2i2i−2i2i000000000000000000000000000
χ488-80002-44i−4i-6600-240000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000
χ498-80002-4−4i4i6-600-240000−4i4i2i−2i2i−2i2i−2i000000000000000000000000000
χ508-80002-4−4i4i-6600-2400002i−2i−4i4i2i−2i2i−2i000000000000000000000000000
χ518-8000-424i−4i006-64-20000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000
χ528-8000-424i−4i00-664-20000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000
χ538-8000-42−4i4i006-64-200002i−2i2i−2i−4i4i2i−2i000000000000000000000000000
χ548-8000-42−4i4i00-664-200002i−2i2i−2i2i−2i−4i4i000000000000000000000000000

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