Finite Group Databasebeta

← Group #72237383

Character table — Group #72237383

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29
size133361212121212122424242424242448484848969696969696512
order12222224444244444424444488883
χ111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1-1-11
χ32222222222222222220000000000-1
χ43333333-1-1-1-13-1-1-1-1-1-1111111-1-1-1-10
χ53333333-1-1-1-13-1-1-1-1-1-1-1-1-1-1-1-111110
χ633333-1-133-1-1-13-1-1-1-1-11111-1-111-1-10
χ733333-1-133-1-1-13-1-1-1-1-1-1-1-1-111-1-1110
χ833333-1-1-1-133-1-13-1-1-1-11111-1-1-1-1110
χ933333-1-1-1-133-1-13-1-1-1-1-1-1-1-11111-1-10
χ1033-1-1-13-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i11-1-11-1i−ii−i0
χ1133-1-1-13-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-111-11−ii−ii0
χ1233-1-1-13-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i11-1-11-1−ii−ii0
χ1333-1-1-13-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-111-11i−ii−i0
χ1433-1-1-1-13−1+2i−1−2i−1−2i−1+2i-111−1+2i−1−2i1111-1-1-11i−i−ii0
χ1533-1-1-1-13−1+2i−1−2i−1−2i−1+2i-111−1+2i−1−2i11-1-1111-1−iii−i0
χ1633-1-1-1-13−1−2i−1+2i−1+2i−1−2i-111−1−2i−1+2i1111-1-1-11−iii−i0
χ1733-1-1-1-13−1−2i−1+2i−1+2i−1−2i-111−1−2i−1+2i11-1-1111-1i−i−ii0
χ1866666-2-2-2-2-2-2-2-2-2222200000000000
χ1966-2-2-26-22222-2-2-2-2-22200000000000
χ2066-2-2-2-262222-2-2-222-2-200000000000
χ2166-2-2-2-2-222−2+4i−2−4i2-222i−2i−2i2i00000000000
χ2266-2-2-2-2-222−2−4i−2+4i2-22−2i2i2i−2i00000000000
χ2366-2-2-2-2-2−2+4i−2−4i2222-2−2i2i−2i2i00000000000
χ2466-2-2-2-2-2−2−4i−2+4i2222-22i−2i2i−2i00000000000
χ2512-412-4-400000000000002-22-20000000
χ2612-412-4-40000000000000-22-220000000
χ2712-4-412-400000000000002-2-220000000
χ2812-4-412-40000000000000-222-20000000
χ2924-8-8-88000000000000000000000000

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