C₄×Q₈×#10596842 #34034546

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

direct product	C₄×Q₈×#10596842
unambiguous semidirect product	#64408⋊(C₈×Q₈)

Fitting	C₄×Q₈×C₇₃ ⋊ C₈
Sylow	C₇₃ ⋊ C₄×C₈×Q₈

1070 conjugacy classes of subgroups.

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1118130);