C₇×C₁₃×C₁₇×D₉ #42123796

order	27846
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₃×C₁₇×D₉
unambiguous semidirect product	C₉⋊(C₂×C₇×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₇×C₁₃×C₁₇	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₇×C₁₃×C₁₇
Frattini	C₃	D₃×C₇×C₁₃×C₁₇
Fitting	C₇×C₉×C₁₃×C₁₇	C₂
socle	C₃×C₇×C₁₃×C₁₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₇×C₁₃×C₁₇

48 conjugacy classes of subgroups.

μ_t(G) = 13923

9282 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27846, 13);