C₁₉×ΓL(1,𝔽₈)×D₂₅ #34092995

order	19950
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×ΓL(1,𝔽₈)×D₂₅
unambiguous semidirect product	C₂₅⋊(C₂×C₁₉×ΓL(1,𝔽₈))
unambiguous semidirect product	(C₇×D₂₅)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	ΓL(1,𝔽₈)×D₂₅
commutator, cosocle, hypocenter	C₇×C₂₅	C₂×C₃×C₁₉
Frattini	C₅	D₅×C₁₉×ΓL(1,𝔽₈)
Fitting	C₇×C₁₉×C₂₅	C₂×C₃
socle	C₅×C₇×C₁₉	C₃×D₅
LCS	G ▷ C₇×C₂₅
UCS	C₁ ◁ C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 3325

1330 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19950, 34);