C₇×C₁₇×D₁₁₇ #42123798

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

Aliases

direct product	C₇×C₁₇×D₁₁₇
unambiguous semidirect product	C₉⋊(C₇×C₁₇×D₁₃)
unambiguous semidirect product	C₁₃⋊(C₇×C₁₇×D₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₇	D₁₁₇
commutator, cosocle, hypocenter	C₉×C₁₃	C₂×C₇×C₁₇
Frattini	C₃	C₇×C₁₇×D₃₉
Fitting	C₇×C₉×C₁₃×C₁₇	C₂
socle	C₃×C₇×C₁₃×C₁₇	D₃
LCS	G ▷ C₉×C₁₃
UCS	C₁ ◁ C₇×C₁₇

48 conjugacy classes of subgroups.

μ_t(G) = 13923

7140 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27846, 15);