C₂×C₇₉×D₉₅ #44473194

order	30020
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇₉×D₉₅
unambiguous semidirect product	(C₂×C₅)⋊(D₁₉×C₇₉)
unambiguous semidirect product	(C₂×C₁₉)⋊(D₅×C₇₉)

	subgroup	G/H
center, hypercenter	C₂×C₇₉	D₉₅
commutator, cosocle, hypocenter	C₅×C₁₉	C₂²×C₇₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₉×C₇₉	C₂
LCS	G ▷ C₅×C₁₉
UCS	C₁ ◁ C₂×C₇₉

40 conjugacy classes of subgroups.

μ_t(G) = 15010

7742 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30020, 26);