C₅×#4505 #11746204

order	960
isoclinism	isoclinic class of D₄₈
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₅ · Schur multiplier (H₂) = C₂

Aliases

Hall	C₃×C₅ ⋊ #367
Sylow	C₃ ⋊ C₅×#367

92 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 960

A minimal faithful permutation representation — 2 generators on 28 points:

(1,2,3,4,5)(6,7,8)(13,14,19,25,24,28,15,18,17,21,22,27,16,20,23,26);(7,8)(9,10,11,12)(14,18)(15,22)(16,24)(19,23)(20,27)(21,26)(25,28)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 399);