C₂²×C₂²⋊#13083443 #36378848

order	22592
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₂²×C₂²⋊#13083443
unambiguous semidirect product	D₃₅₃⋊(C₂×C₂²⋊C₄)
unambiguous semidirect product	(C₂×#13083443)⋊C₂³

Fitting	C₂⁴×C₃₅₃ ⋊ C₄
Sylow	C₃₅₃ ⋊ C₂²×C₂²⋊C₄

674 conjugacy classes of subgroups.

μ_t(G) = 5648

1448 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22592, 1610);