C₇×D₁₉⋊(C₅²⋊C₃) #34093079

order	19950
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₇×D₁₉⋊(C₅²⋊C₃)
unambiguous semidirect product	D₁₉⋊(C₇×C₅²⋊C₃)

	subgroup	G/H
center, hypercenter	C₇	D₁₉⋊(C₅²⋊C₃)
commutator, cosocle, hypocenter	C₅²×C₁₉	C₂×C₃×C₇
Frattini	C₁	G
Fitting, socle	C₅²×C₇×C₁₉	C₂×C₃
LCS	G ▷ C₅²×C₁₉
UCS	C₁ ◁ C₇

48 conjugacy classes of subgroups.

μ_t(G) = 1995

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19950, 118);