C₂×C₇⋊(C₉⋊(C₁₁⋊D₁₁)) #44478984

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

Aliases

direct product	C₂×C₇⋊(C₉⋊(C₁₁⋊D₁₁))
unambiguous semidirect product	(C₂×C₇)⋊(C₉⋊(C₁₁⋊D₁₁))
unambiguous semidirect product	(C₂×C₉)⋊(C₇⋊(C₁₁⋊D₁₁))
unambiguous semidirect product	(C₂×C₁₁)⋊D₆₉₃

	subgroup	G/H
center, hypercenter	C₂	C₇⋊(C₉⋊(C₁₁⋊D₁₁))
commutator, cosocle, hypocenter	C₇×C₉×C₁₁²	C₂²
Frattini	C₃	C₂×C₃⋊(C₇⋊(C₁₁⋊D₁₁))
Fitting	C₂×C₇×C₉×C₁₁²	C₂
socle	C₂×C₃×C₇×C₁₁²	D₃
LCS	G ▷ C₇×C₉×C₁₁²
UCS	C₁ ◁ C₂

420 conjugacy classes of subgroups.

μ_t(G) = 15246

7626 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30492, 207);