C₂×C₇×C₁₃×D₇₉ #43273288

order	28756
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₇×C₁₃×D₇₉

	subgroup	G/H
center, hypercenter	C₂×C₇×C₁₃	D₇₉
commutator, cosocle, hypocenter	C₇₉	C₂²×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₃×C₇₉	C₂
LCS	G ▷ C₇₉
UCS	C₁ ◁ C₂×C₇×C₁₃

40 conjugacy classes of subgroups.

μ_t(G) = 14378

7462 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28756, 30);