C₅⋊D₅×C₄₇₉ #37561705

order	23950
automorphism	?
homology	Abelianization (H₁) = C₂×C₄₇₉ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅⋊D₅×C₄₇₉
unambiguous semidirect product	C₅⋊(D₅×C₄₇₉)

Fitting, socle, Hall	C₅²×C₄₇₉ ⋊ C₂
derived, Sylow	C₅² ⋊ C₂×C₄₇₉

	subgroup	G/H
center, hypercenter	C₄₇₉	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₄₇₉
Frattini	C₁	G
Fitting, socle	C₅²×C₄₇₉	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₄₇₉

32 conjugacy classes of subgroups.

μ_t(G) = 11975

6706 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23950, 9);