D₂₁⋊D₁₃ #11764012

order	1092
isoclinism	isoclinic class of D₂₁⋊D₁₃
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

unambiguous semidirect product	D₂₁⋊D₁₃
unambiguous semidirect product	D₃₉⋊D₇
unambiguous semidirect product	D₉₁⋊D₃

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₇×C₁₃	C₂²
LCS	G ▷ C₃×C₇×C₁₃
UCS	C₁

40 conjugacy classes of subgroups.

minimal degree	μ(G) = 23
transitive degree	μ_t(G) = 273

Polycyclic presentation:

2^2,3,7,13|d^a=d^6,e^a=e^12,c^b=c^2,d^b=d^6

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1092, 60);