C₂³×#14556670 #34032692

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹³×C₄

Aliases

direct product	C₂³×#14556670
unambiguous semidirect product	D₇₃⋊(C₂²×#117)

Fitting	C₂⁴×C₄×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂³×#117

14334 conjugacy classes of subgroups.

μ_t(G) = 4672

1312 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1116276);