C₂²×#19151455 #36712685

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹¹

Aliases

Fitting	C₂³×C₄⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂²×#380

8670 conjugacy classes of subgroups.

μ_t(G) = 11392

3632 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 327825);