C₅²×C₁₃×C₇⋊D₇ #44541624

order	31850
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₁₃ · Schur multiplier (H₂) = C₅×C₇

Aliases

direct product	C₅²×C₁₃×C₇⋊D₇
unambiguous semidirect product	C₇⋊(C₅²×C₁₃×D₇)

	subgroup	G/H
center, hypercenter	C₅²×C₁₃	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₅²×C₁₃
Frattini	C₁	G
Fitting, socle	C₅²×C₇²×C₁₃	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₅²×C₁₃

320 conjugacy classes of subgroups.

μ_t(G) = 15925

8450 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31850, 37);