C₂×C₁₁²×D₆₃ #44478986

order	30492
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₁² · Schur multiplier (H₂) = C₂×C₁₁

Aliases

direct product	C₂×C₁₁²×D₆₃
unambiguous semidirect product	(C₂×C₇)⋊(C₁₁²×D₉)
unambiguous semidirect product	(C₂×C₉)⋊(C₁₁²×D₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₁²	D₆₃
commutator, cosocle, hypocenter	C₇×C₉	C₂²×C₁₁²
Frattini	C₃	C₂×C₁₁²×D₂₁
Fitting	C₂×C₇×C₉×C₁₁²	C₂
socle	C₂×C₃×C₇×C₁₁²	D₃
LCS	G ▷ C₇×C₉
UCS	C₁ ◁ C₂×C₁₁²

420 conjugacy classes of subgroups.

μ_t(G) = 15246

7986 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30492, 209);