Finite Group Databasebeta

← Group #11886835

Character table — Group #11886835

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112444444488121212121616161616161818181818182424242424242424242436363636364848484848487272
order124233466812122244661212242424888822446688121224448661212242488
χ1111111111111111111111111111111111111111111111111111
χ21111111111111-11-11111111111-1-111-1-1-111-11-111-1-1-111-1-11-1-1-1
χ3111111111111-11-111111111111-1-1-1-1111-1-11-1111-1-1-1-1-111-11-1-1
χ4111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111
χ5111111-111-111111111-1-1-1-111-1-1111-11-111-1-111-11-1-111-11-1-1-11-1
χ6111111-111-1111-11-111-1-1-1-111-1-1-1-11-1-11-11-111-1-1111-11-1-11-11-11
χ7111111-111-111-11-1111-1-1-1-111-1-1-1-1-111-11-11-1-11-1111-1-111-11-1-11
χ8111111-111-111-1-1-1-111-1-1-1-111-1-111-11-11-1-111-1-1-11-1-11-11-11111-1
χ9111-111111-1111111-1-111-1-111-1-111-11-1111-1-1111-1-1-11-11-11-1-1-11
χ10111-111111-1111-11-1-1-111-1-111-1-1-1-1-111-1-11-111-11-111-1-111-1-111-1
χ11111-111111-111-11-11-1-111-1-111-1-1-1-11-1-111-11-1-111-111-11-1-111-11-1
χ12111-111111-111-1-1-1-1-1-111-1-111-1-1111-11-1-1-111-1-11-1-1-111-11-111-11
χ13111-111-1111111111-1-1-1-111111111-1-1-1-1111111-1-1111-1-1-1-111-1-1
χ14111-111-1111111-11-1-1-1-1-1111111-1-1-1-111-111-11-1-1-1-1-1-1-1-1111-111
χ15111-111-111111-11-11-1-1-1-1111111-1-111-1-11-1-11-11-1-1-1-1-111-1-1-1111
χ16111-111-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ172222222222220000222222-2-2-2-2000000000000-2-200000000000
χ18222222-222-222000022-2-2-2-2-2-2220000000000002-200000000000
χ19222-222222-2220000-2-222-2-2-2-222000000000000-2200000000000
χ20222-222-2222220000-2-2-2-222-2-2-2-20000000000002200000000000
χ2122-20220220-2-222-2-2000000-2200-2-200002200-2-20000200000000
χ2222-20220220-2-22-2-22000000-2200220000-2200-220000-200000000
χ2322-20220220-2-2-222-2000000-22002200002-2002-20000-200000000
χ2422-20220220-2-2-2-222000000-2200-2-20000-2-200220000200000000
χ2544441-24-214-2102021-2-211-20000000022-10020-10000000-1-10-100
χ2644441-24-214-210-20-21-2-211-200000000-2-2100-2010000000110100
χ2744441-2-4-21-4-2102021-22-1-12000000002-2-100-20-10000000-110100
χ2844441-2-4-21-4-210-20-21-22-1-1200000000-2210020100000001-10-100
χ294444-2141-241-22020-211-2-2100000022000-120-1000000-1-100-1000
χ304444-2141-241-2-20-20-211-2-21000000-2-20001-20100000011001000
χ314444-21-41-2-41-22020-21-122-10000002-2000-1-20-1000000-11001000
χ324444-21-41-2-41-2-20-20-21-122-1000000-2200012010000001-100-1000
χ33444-41-24-21-4-210202-12-21-1200000000-22-100-20-100000001-10100
χ34444-41-24-21-4-210-20-2-12-21-12000000002-21002010000000-110-100
χ35444-41-2-4-214-210202-122-11-200000000-2-2-10020-10000000110-100
χ36444-41-2-4-214-210-20-2-122-11-20000000022100-2010000000-1-10100
χ37444-4-2141-2-41-220202-11-22-1000000-22000-1-20-10000001-1001000
χ38444-4-2141-2-41-2-20-202-11-22-10000002-20001201000000-1100-1000
χ39444-4-21-41-241-220202-1-12-21000000-2-2000-120-10000001100-1000
χ40444-4-21-41-241-2-20-202-1-12-21000000220001-201000000-1-1001000
χ4144-40440440-4-400000000004-4000000000000000000000000000
χ424-400440-4-400000000000000022−222i2−2i20000000000002i−2i000000000
χ434-400440-4-400000000000000022−22−2i22i2000000000000−2i2i000000000
χ444-400440-4-4000000000000000−22222i2−2i2000000000000−2i2i000000000
χ454-400440-4-4000000000000000−2222−2i22i20000000000002i−2i000000000
χ4688-802-40-4204-2040-40000000000000000-2000020000000000000
χ4788-802-40-4204-20-404000000000000000020000-20000000000000
χ4888-80-4202-40-2440-4000000000000000000-200200000000000000
χ4988-80-4202-40-24-404000000000000000000200-200000000000000
χ5016-16004-808-4000000000000000000000000000000000000000000
χ5116-1600-840-48000000000000000000000000000000000000000000

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