D₇×C₁₉×C₈₃ #36348265

order	22078
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₈₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₇×C₁₉×C₈₃
unambiguous semidirect product	C₇⋊(C₂×C₁₉×C₈₃)

	subgroup	G/H
center, hypercenter	C₁₉×C₈₃	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₁₉×C₈₃
Frattini	C₁	G
Fitting, socle	C₇×C₁₉×C₈₃	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₁₉×C₈₃

16 conjugacy classes of subgroups.

μ_t(G) = 11039

7885 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22078, 5);