Finite Group Databasebeta

← Group #11713613

Character table — Group #11713613

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11233666666688121212121224242424242424242424242432324848646464
order122222444444244444422444444888836886612
χ111111111111111111111111111111111111111
χ211111111111111-1-11-1-11-11-1-1-1-1-1-1-1-1-111-1-1111
χ3111111111111-1-111111-1-1-11-11-1-1111111-1-11-1-1
χ4111111111111-1-1-1-11-1-1-11-1-11-111-1-1-1-111111-1-1
χ511-111-11-1-11111-111-1111-1-1-11-11-111-1-1111-1-11-1
χ611-111-11-1-11111-1-1-1-1-1-111-11-11-11-1-11111-11-11-1
χ711-111-11-1-1111-1111-111-111-1-1-1-1111-1-111-11-1-11
χ811-111-11-1-1111-11-1-1-1-1-1-1-111111-1-1-111111-1-1-11
χ92222222222222200200202000000000-1-100-1-1-1
χ10222222222222-2-200200-20-2000000000-1-100-111
χ1122-222-22-2-22222-200-20020-2000000000-1-1001-11
χ1222-222-22-2-2222-2200-200-202000000000-1-10011-1
χ132-202-202002-2-2002i−2i02i−2i000000002i−2i002-200000
χ142-202-202002-2-200−2i2i0−2i2i00000000−2i2i002-200000
χ15333333-1-1-1-1-1-13311-111-11-111111-1-1-1-100-1-1000
χ16333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1-111110011000
χ17333333-1-1-1-1-1-1-3-311-1111-111-11-1-1-1-1-1-10011000
χ18333333-1-1-1-1-1-1-3-3-1-1-1-1-1111-11-111111100-1-1000
χ1933-333-3-111-1-1-13-311111-1-11-11-11-1-1-11100-11000
χ2033-333-3-111-1-1-13-3-1-11-1-1-1111-11-1111-1-1001-1000
χ2133-333-3-111-1-1-1-331111111-1-1-1-1-11-1-111001-1000
χ2233-333-3-111-1-1-1-33-1-11-1-11-1-11111-111-1-100-11000
χ234-404-404004-4-40000000000000000000-2200000
χ24666-2-2-2222-2-220000-200020020-2-200000000000
χ25666-2-2-2222-2-220000-2000-200-202200000000000
χ26666-2-2-2-2-2-222-200222-2-200020-20000000000000
χ27666-2-2-2-2-2-222-200-2-2222000-2020000000000000
χ2866-6-2-222-2-2-2-2200002000200-202-200000000000
χ2966-6-2-222-2-2-2-2200002000-20020-2200000000000
χ3066-6-2-22-22222-20022-2-2-2000-2020000000000000
χ3166-6-2-22-22222-200-2-2-22200020-20000000000000
χ326-606-60-200-222002i−2i02i−2i00000000−2i2i000000000
χ336-606-60-200-22200−2i2i0−2i2i000000002i−2i000000000
χ346-60-220-24i−4i2-22002i−2i0−2i2i00000000002-20000000
χ356-60-220-24i−4i2-2200−2i2i02i−2i0000000000-220000000
χ366-60-220-2−4i4i2-22002i−2i0−2i2i0000000000-220000000
χ376-60-220-2−4i4i2-2200−2i2i02i−2i00000000002-20000000
χ3812-120-440400-44-400000000000000000000000000

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