C₁₃×C₁₉×C₇⋊D₇ #37564150

order	24206
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₉ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₁₃×C₁₉×C₇⋊D₇
unambiguous semidirect product	C₇⋊(C₁₃×D₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₉	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₇²×C₁₃×C₁₉	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₁₃×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 12103

6422 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24206, 17);