C₁₁×D₇×D₉₉ #44478968

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

Aliases

direct product	C₁₁×D₇×D₉₉
unambiguous semidirect product	(C₉×D₇)⋊(C₁₁×D₁₁)
unambiguous semidirect product	(C₁₁×D₇)⋊(C₁₁×D₉)

	subgroup	G/H
center, hypercenter	C₁₁	D₇×D₉₉
commutator, cosocle, hypocenter	C₇×C₉×C₁₁	C₂²×C₁₁
Frattini	C₃	C₁₁×D₇×D₃₃
Fitting	C₇×C₉×C₁₁²	C₂²
socle	C₃×C₇×C₁₁²	C₂×D₃
LCS	G ▷ C₇×C₉×C₁₁
UCS	C₁ ◁ C₁₁

180 conjugacy classes of subgroups; only the 44 normal subgroups are shown.

normal subgroups only

This group has 180 conjugacy classes of subgroups — too many to draw. Only its 44 normal subgroups are shown.

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

μ_t(G) = 1386

2805 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30492, 191);