C₂×C₃×D₇×C₂₂₉ #34064007

order	19236
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₂₂₉ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×D₇×C₂₂₉

	subgroup	G/H
center, hypercenter	C₂×C₃×C₂₂₉	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃×C₂₂₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₂₂₉	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃×C₂₂₉

40 conjugacy classes of subgroups.

μ_t(G) = 9618

6870 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19236, 75);