C₂²×C₄×#13083551 #36712602

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂¹⁰×C₄

Aliases

Fitting	C₂³×C₄²×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂²×C₄×C₂²⋊C₄

9534 conjugacy classes of subgroups.

μ_t(G) = 11392

5792 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 327742);