C₂×D₇×C₁₇×C₄₇ #36375400

order	22372
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₇×C₄₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₇×C₁₇×C₄₇
unambiguous semidirect product	C₇⋊(C₂²×C₁₇×C₄₇)
unambiguous semidirect product	(C₂×C₇)⋊(C₂×C₁₇×C₄₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₇×C₄₇	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₁₇×C₄₇
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₇×C₄₇	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₁₇×C₄₇

40 conjugacy classes of subgroups.

μ_t(G) = 11186

7990 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22372, 24);