Finite Group Databasebeta

← Group #11793999

Character table — Group #11793999

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11222444444888888991212121216161616181818242424242424242424244848484848487272727272
order1224433666626121212124488886666224244488242424246121212242444444
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-111-1-11-1-1-1-1
χ31111111111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1111-1-1-1-1
χ41111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-111-1-1
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
χ811111111111-11111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-11111-111-1-1
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
χ1522-22-222-222-20-222-2-222000000002-2-2002i−2i000000002i−2i0000000
χ1622-22-222-222-20-222-2-222000000002-2-200−2i2i00000000−2i2i0000000
χ1722-22-222-222-20-222-2-2-2-22i2i−2i−2i0000-2220000002i2i−2i−2i00000000000
χ1822-22-222-222-20-222-2-2-2-2−2i−2i2i2i0000-222000000−2i−2i2i2i00000000000
χ1922-2-2222-222-20-2-2-2222200000000-22-200002-2000000002-200000
χ2022-2-2222-222-20-2-2-2222200000000-22-20000-2200000000-2200000
χ2122-2-2222-222-20-2-2-222-2-2000000002-222-2000000002-2000000000
χ2222-2-2222-222-20-2-2-222-2-2000000002-22-2200000000-22000000000
χ23444441-211-214-21-21-200222211-2-2000002200-1-1-1-100-1-10000000
χ24444441-211-214-21-21-200-2-2-2-211-2-200000-2-200111100110000000
χ25444441-211-21-4-21-21-2002222-1-12200000-2-200-1-1-1-100110000000
χ26444441-211-21-4-21-21-200-2-2-2-2-1-122000002200111100-1-10000000
χ2744444-21-2-21-241-21-21000000-2-2110002200220000-1-100-1-100000
χ2844444-21-2-21-241-21-21000000-2-211000-2-200-2-2000011001100000
χ2944444-21-2-21-2-41-21-2100000022-1-10002200-2-20000-1-1001100000
χ3044444-21-2-21-2-41-21-2100000022-1-1000-2-2002200001100-1-100000
χ3144-44-41-2-11-2-1021-2-12002i2i−2i−2i3-300000002i−2i00−i−iii00−ii0000000
χ3244-44-41-2-11-2-1021-2-12002i2i−2i−2i-330000000−2i2i00−i−iii00i−i0000000
χ3344-44-41-2-11-2-1021-2-1200−2i−2i2i2i3-30000000−2i2i00ii−i−i00i−i0000000
χ3444-44-41-2-11-2-1021-2-1200−2i−2i2i2i-3300000002i−2i00ii−i−i00−ii0000000
χ3544-4-44-212-2120-12-1-21000000003-30002-2002-20000-1100-1100000
χ3644-4-44-212-2120-12-1-21000000003-3000-2200-2200001-1001-100000
χ3744-4-44-212-2120-12-1-2100000000-330002-200-220000-11001-100000
χ3844-4-44-212-2120-12-1-2100000000-33000-22002-200001-100-1100000
χ394-4000440-4-400000004i−4i2ζ−2ζ2ζ3−2ζ300000000000002ζ−2ζ2ζ3−2ζ300000000000
χ404-4000440-4-400000004i−4i−2ζ2ζ−2ζ32ζ30000000000000−2ζ2ζ−2ζ32ζ300000000000
χ414-4000440-4-40000000−4i4i2ζ3−2ζ32ζ−2ζ00000000000002ζ3−2ζ32ζ−2ζ00000000000
χ424-4000440-4-40000000−4i4i−2ζ32ζ3−2ζ2ζ0000000000000−2ζ32ζ3−2ζ2ζ00000000000
χ43888-8-82-422-420-4-24-240000000000000000000000000000000000
χ44888-8-8-42-4-42-4024-24-20000000000000000000000000000000000
χ4588-88-8-424-4240-2-424-20000000000000000000000000000000000
χ4688-8-882-4-22-4-204-242-40000000000000000000000000000000000
χ478-80002-46-24-60000000022−22−22220000000000000−222−200000000000
χ488-80002-46-24-600000000−222222−2200000000000002−2−2200000000000
χ498-80002-4-6-246000000002i2−2i22i2−2i20000000000000−i2i2−i2i200000000000
χ508-80002-4-6-24600000000−2i22i2−2i22i20000000000000i2−i2i2−i200000000000
χ5116-16000-8408-400000000000000000000000000000000000000000

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