C₁₇×C₁₉×C₇⋊D₇ #44539615

order	31654
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₁₉ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₁₇×C₁₉×C₇⋊D₇
unambiguous semidirect product	C₇⋊(D₇×C₁₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₇×C₁₉	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₇²×C₁₇×C₁₉	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₁₇×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 15827

8398 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31654, 17);