D₇×#3773 #72217848

order	2016
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

	subgroup	G/H
center, Frattini, hypercenter	C₂	D₇×GO⁺(4,𝔽₂)
commutator	C₇×C₃⋊D₃	C₂²×C₄
Fitting, socle	C₂×C₃²×C₇	C₂×D₄
prime radical	C₂×D₇×C₃⋊D₃	C₂²
cosocle	C₂×C₇×C₃⋊D₃	C₂³
hypocenter	C₃²×C₇	C₂×C₄⋊C₄
LCS	G ▷ C₇×C₃⋊D₃ ▷ C₃²×C₇
UCS	C₁ ◁ C₂

292 conjugacy classes of subgroups; only the 56 normal subgroups are shown.

normal subgroups only

This group has 292 conjugacy classes of subgroups — too many to draw. Only its 56 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

maximal subgroup of	AGL(1,𝔽₇)×#3773, C₄×D₇×GO⁺(4,𝔽₂)
maximal normal subgroup of	AGL(1,𝔽₇)×#3773, C₄×D₇×GO⁺(4,𝔽₂)

Past the SmallGroups library coverage — no SmallGroups id.