C₂×#10621463 #13062008

order	1344
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

	subgroup	G/H
center, Fitting, socle, hypercenter	C₂²	SO(3,𝔽₇)
commutator, cosocle, hypocenter	SL(2,𝔽₇)	C₂²
Frattini	C₂	C₂×SO(3,𝔽₇)
prime radical	C₂×SL(2,𝔽₇)	C₂
LCS	G ▷ SL(2,𝔽₇)
UCS	C₁ ◁ C₂²

82 conjugacy classes of subgroups.

μ_t(G) = 64

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1344, 11297);