C₁₃×C₂₉×C₇⋊D₇ #49149243

order	36946
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₂₉ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₁₃×C₂₉×C₇⋊D₇
unambiguous semidirect product	C₇⋊(C₁₃×D₇×C₂₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₂₉	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₁₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₇²×C₁₃×C₂₉	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₁₃×C₂₉

80 conjugacy classes of subgroups.

μ_t(G) = 18473

9802 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36946, 29);