Finite Group Databasebeta

← Group #11711636

Character table — Group #11711636

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size111166881212121224242424323232323232323248484848484848
order12222244224444443666121212124444488
χ11111111111111111111111111111111
χ2111111111111-1-1-1-111111111-1-11-1-1-1-1
χ3111111-1-1111111-1-11111-1-1-1-1-11-111-1-1
χ4111111-1-11111-1-1111111-1-1-1-11-1-1-1-111
χ52222222222220000-1-1-1-1-1-1-1-10020000
χ6222222-2-222220000-1-1-1-1111100-20000
χ72-2-22-22002-2-2200002-2-2200000000000
χ82-2-22-22002-2-220000-111-1−i3−i3i3i30000000
χ92-2-22-22002-2-220000-111-1i3i3−i3−i30000000
χ1033333333-1-1-1-111110000000011-1-1-1-1-1
χ1133333333-1-1-1-1-1-1-1-100000000-1-1-11111
χ12333333-3-3-1-1-1-111-1-100000000-111-1-111
χ13333333-3-3-1-1-1-1-1-111000000001-1111-1-1
χ144-44-4002i−2i00002-22i−2i11-1-1i−ii−i0000000
χ154-44-4002i−2i0000-22−2i2i11-1-1i−ii−i0000000
χ164-44-400−2i2i00002-2−2i2i11-1-1−ii−ii0000000
χ174-44-400−2i2i0000-222i−2i11-1-1−ii−ii0000000
χ186666-2-20022-2-22200000000000-200000
χ196666-2-20022-2-2-2-200000000000200000
χ206666-2-200-2-222002200000000-2000000
χ216666-2-200-2-22200-2-2000000002000000
χ226-6-662-2002-22-20000000000000002i−2i00
χ236-6-662-2002-22-2000000000000000−2i2i00
χ246-6-662-200-22-22000000000000000002-2
χ256-6-662-200-22-2200000000000000000-22
χ266-6-66-6600-222-20000000000000000000
χ2788-8-80000000000002-22-200000000000
χ2888-8-8000000000000-11-113−3−330000000
χ2988-8-8000000000000-11-11−333−30000000
χ308-88-8004i−4i00000000-1-111−ii−ii0000000
χ318-88-800−4i4i00000000-1-111i−ii−i0000000

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