C₇×D₅×C₃₇₃ #39908309

order	26110
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₃₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×D₅×C₃₇₃
unambiguous semidirect product	C₅⋊(C₂×C₇×C₃₇₃)

	subgroup	G/H
center, hypercenter	C₇×C₃₇₃	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₇×C₃₇₃
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₃₇₃	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₇×C₃₇₃

16 conjugacy classes of subgroups.

μ_t(G) = 13055

10444 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26110, 5);