C₂×C₇²×C₁₃×C₃⋊D₃ #37525680

order	22932
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇²×C₁₃ · Schur multiplier (H₂) = C₂×C₃×C₇

Aliases

direct product	C₂×C₇²×C₁₃×C₃⋊D₃
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₇²×C₁₃)

	subgroup	G/H
center, hypercenter	C₂×C₇²×C₁₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₇²×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₇²×C₁₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₇²×C₁₃

600 conjugacy classes of subgroups.

μ_t(G) = 11466

7644 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22932, 1625);