D₃×D₇⋊(C₁₁²⋊C₃) #44479098

order	30492
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂×C₁₁

Aliases

direct product	D₃×D₇⋊(C₁₁²⋊C₃)
unambiguous semidirect product	D₇⋊(D₃×C₁₁²⋊C₃)
unambiguous semidirect product	(D₃×D₇)⋊(C₁₁²⋊C₃)

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₇×C₁₁²	C₂²×C₃
LCS	G ▷ C₃×C₇×C₁₁²
UCS	C₁

168 conjugacy classes of subgroups; only the 27 normal subgroups are shown.

normal subgroups only

This group has 168 conjugacy classes of subgroups — too many to draw. Only its 27 normal subgroups are shown.

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

μ_t(G) = 693

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30492, 321);