C₂×C₇₉×C₇⋊D₇ #29509243

order	15484
isoclinism	isoclinic class of C₇⋊D₇
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇₉ · Schur multiplier (H₂) = C₂×C₇

Aliases

direct product	C₂×C₇₉×C₇⋊D₇
unambiguous semidirect product	(C₂×C₇)⋊(D₇×C₇₉)

	subgroup	G/H
center, hypercenter	C₂×C₇₉	C₇⋊D₇
commutator, cosocle, hypocenter	C₇²	C₂²×C₇₉
Frattini	C₁	G
Fitting, socle	C₂×C₇²×C₇₉	C₂
LCS	G ▷ C₇²
UCS	C₁ ◁ C₂×C₇₉

100 conjugacy classes of subgroups.

μ_t(G) = 7742

4108 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15484, 25);