C₅×C₇₃×C₇⋊D₇ #49088708

order	35770
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₇₃ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₅×C₇₃×C₇⋊D₇
unambiguous semidirect product	C₇⋊(C₅×D₇×C₇₃)

	subgroup	G/H
center, hypercenter	C₅×C₇₃	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂×C₅×C₇₃
Frattini	C₁	G
Fitting, socle	C₅×C₇²×C₇₃	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₅×C₇₃

80 conjugacy classes of subgroups.

μ_t(G) = 17885

9490 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35770, 13);