C₃²×D₁₁×D₇₇ #44479183

order	30492
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₃²×D₁₁×D₇₇
unambiguous semidirect product	(C₁₁×D₁₁)⋊(C₃²×D₇)

	subgroup	G/H
center, hypercenter	C₃²	D₁₁×D₇₇
commutator, cosocle, hypocenter	C₇×C₁₁²	C₂²×C₃²
Frattini	C₁	G
Fitting, socle	C₃²×C₇×C₁₁²	C₂²
LCS	G ▷ C₇×C₁₁²
UCS	C₁ ◁ C₃²

360 conjugacy classes of subgroups; only the 96 normal subgroups are shown.

normal subgroups only

This group has 360 conjugacy classes of subgroups — too many to draw. Only its 96 normal subgroups are shown.

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

μ_t(G) = 1386

2520 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30492, 406);