C₂²×C₁₃×C₄₃⋊C₇ #30627774

order	15652
isoclinism	isoclinic class of C₄₃⋊C₇
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂²×C₁₃×C₄₃⋊C₇
unambiguous semidirect product	(C₂²×C₄₃)⋊(C₇×C₁₃)
unambiguous semidirect product	(C₂²×C₁₃×C₄₃)⋊C₇

	subgroup	G/H
center, hypercenter	C₂²×C₁₃	C₄₃⋊C₇
commutator, cosocle, hypocenter	C₄₃	C₂²×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₂²×C₁₃×C₄₃	C₇
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₂²×C₁₃

40 conjugacy classes of subgroups.

μ_t(G) = 2236

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15652, 20);