C₇×C₁₇×D₉₃ #36348989

order	22134
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₇×D₉₃
unambiguous semidirect product	C₃⋊(C₇×C₁₇×D₃₁)
unambiguous semidirect product	C₃₁⋊(D₃×C₇×C₁₇)

	subgroup	G/H
center, hypercenter	C₇×C₁₇	D₉₃
commutator, cosocle, hypocenter	C₃×C₃₁	C₂×C₇×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₃₁	C₂
LCS	G ▷ C₃×C₃₁
UCS	C₁ ◁ C₇×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 11067

5712 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22134, 14);