Finite Group Databasebeta

← Group #11794000

Character table — Group #11794000

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11222444444888888991212121216161616181818242424242424242424244848484848487272727272
order12244336666461212121244888812121212224244488242424246121212242424444
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-111-1-1-11-1-1-1-1
χ31111111111111111111-1-1-1-1111111111-1-111-1-1-1-11-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111111111-1-1-1-111111-1-1-1-111111-1-11-1-1-111-1-1
χ611111111111-111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-111
χ711111111111-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-111
χ811111111111-11111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-111-111-111-1-1
χ922222222222222222-2-200002222-2-2-20000000000000000-20000
χ1022222222222-222222-2-20000-2-2-2-2-2-2-2000000000000000020000
χ11222-2-222222202-2-2-2-22200000000-2-22000000000000000002i−2i00
χ12222-2-222222202-2-2-2-22200000000-2-2200000000000000000−2i2i00
χ13222-2-222222202-2-2-2-2-2-20000000022-200000000000000000002-2
χ14222-2-222222202-2-2-2-2-2-20000000022-20000000000000000000-22
χ1522-22-222-22-220-222-2-222000000002-2-2002i−2i00000002i−2i00000000
χ1622-22-222-22-220-222-2-222000000002-2-200−2i2i0000000−2i2i00000000
χ1722-22-222-22-220-222-2-2-2-22i2i−2i−2i0000-2220000002i2i−2i−2i00000000000
χ1822-22-222-22-220-222-2-2-2-2−2i−2i2i2i0000-222000000−2i−2i2i2i00000000000
χ1922-2-2222-22-220-2-2-2222200000000-22-200002-2000000002-200000
χ2022-2-2222-22-220-2-2-2222200000000-22-20000-2200000000-2200000
χ2122-2-2222-22-220-2-2-222-2-2000000002-222-200000000200-20000000
χ2222-2-2222-22-220-2-2-222-2-2000000002-22-2200000000-20020000000
χ23444441-2111-24-21-21-200222211-2-2000002200-1-1-1-10-1-100000000
χ24444441-2111-24-21-21-200-2-2-2-211-2-200000-2-200111101100000000
χ25444441-2111-2-4-21-21-2002222-1-12200000-2-200-1-1-1-101100000000
χ26444441-2111-2-4-21-21-200-2-2-2-2-1-12200000220011110-1-100000000
χ2744444-21-2-2-2141-21-21000000-2-2110002200220000-100-1-1-100000
χ2844444-21-2-2-2141-21-21000000-2-211000-2-200-2-2000010011100000
χ2944444-21-2-2-21-41-21-2100000022-1-10002200-2-20000-100-11100000
χ3044444-21-2-2-21-41-21-2100000022-1-1000-2-2002200001001-1-100000
χ3144-44-41-2-11-1-2021-2-12002i2i−2i−2i3-300000002i−2i00−i−iii0−ii00000000
χ3244-44-41-2-11-1-2021-2-12002i2i−2i−2i-330000000−2i2i00−i−iii0i−i00000000
χ3344-44-41-2-11-1-2021-2-1200−2i−2i2i2i3-30000000−2i2i00ii−i−i0i−i00000000
χ3444-44-41-2-11-1-2021-2-1200−2i−2i2i2i-3300000002i−2i00ii−i−i0−ii00000000
χ3544-4-44-212-2210-12-1-21000000003-30002-2002-20000-1001-1100000
χ3644-4-44-212-2210-12-1-21000000003-3000-2200-220000100-11-100000
χ3744-4-44-212-2210-12-1-2100000000-330002-200-220000-10011-100000
χ3844-4-44-212-2210-12-1-2100000000-33000-22002-20000100-1-1100000
χ394-4000440-40-40000004i−4i2ζ−2ζ2ζ3−2ζ300000000000002ζ−2ζ2ζ3−2ζ300000000000
χ404-4000440-40-40000004i−4i−2ζ2ζ−2ζ32ζ30000000000000−2ζ2ζ−2ζ32ζ300000000000
χ414-4000440-40-4000000−4i4i2ζ3−2ζ32ζ−2ζ00000000000002ζ3−2ζ32ζ−2ζ00000000000
χ424-4000440-40-4000000−4i4i−2ζ32ζ3−2ζ2ζ0000000000000−2ζ32ζ3−2ζ2ζ00000000000
χ43888-8-82-4222-40-4-24-240000000000000000000000000000000000
χ44888-8-8-42-4-4-42024-24-20000000000000000000000000000000000
χ4588-88-8-424-4420-2-424-20000000000000000000000000000000000
χ4688-8-882-4-22-2-404-242-40000000000000000000000000000000000
χ478-80002-46-2-64000000002i2−2i22i2−2i20000000000000−i2i2−i2i200000000000
χ488-80002-46-2-6400000000−2i22i2−2i22i20000000000000i2−i2i2−i200000000000
χ498-80002-4-6-2640000000022−22−22220000000000000−222−200000000000
χ508-80002-4-6-26400000000−222222−2200000000000002−2−2200000000000
χ5116-16000-84080-40000000000000000000000000000000000000000

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