C₂×C₁₃×D₇×C₈₃ #44475047

order	30212
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃×C₈₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₃×D₇×C₈₃
unambiguous semidirect product	C₇⋊(C₂²×C₁₃×C₈₃)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₁₃×C₈₃)

	subgroup	G/H
center, hypercenter	C₂×C₁₃×C₈₃	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₁₃×C₈₃
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₃×C₈₃	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₁₃×C₈₃

40 conjugacy classes of subgroups.

μ_t(G) = 15106

10790 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30212, 24);