C₂³×#14556653 #34031157

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹¹

Aliases

direct product	C₂³×#14556653
unambiguous semidirect product	D₇₃⋊(C₂²×#102)

Fitting	C₂³×D₄×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂³×#102

7646 conjugacy classes of subgroups.

μ_t(G) = 4672

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114741);