C₂×C₃⋊(C₇⋊(D₄₃⋊C₇)) #38760411

order	25284
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃⋊(C₇⋊(D₄₃⋊C₇))
unambiguous semidirect product	(C₂×C₃)⋊(C₇⋊(D₄₃⋊C₇))
unambiguous semidirect product	(C₂×C₇)⋊(C₃⋊(D₄₃⋊C₇))
unambiguous semidirect product	(C₂×C₄₃⋊C₇)⋊D₂₁
unambiguous semidirect product	(C₂×D₉₀₃)⋊C₇

	subgroup	G/H
center, hypercenter	C₂	C₃⋊(C₇⋊(D₄₃⋊C₇))
commutator, cosocle, hypocenter	C₃×C₇×C₄₃	C₂²×C₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₄₃	C₂×C₇
LCS	G ▷ C₃×C₇×C₄₃
UCS	C₁ ◁ C₂

104 conjugacy classes of subgroups.

μ_t(G) = 1806

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25284, 218);