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C₉×C₁₉⋊#3866 #38760907

order	25308
automorphism	?
homology	Abelianization (H₁) = C₄×C₉ · Schur multiplier (H₂) = C₁

Aliases

C₉×C₁₉⋊#3866

Splittings

Fitting, Hall	C₉×C₁₉×C₃₇ ⋊ C₄
derived, Hall	C₁₉×C₃₇ ⋊ C₄×C₉
Hall	C₉×C₃₇ ⋊ Dic₁₉
Hall	C₉×C₁₉ ⋊ #3866
Sylow	C₃₇ ⋊ C₉×Dic₁₉
Sylow	C₁₉ ⋊ C₉×#3866

Subgroups

	subgroup	G/H
center, hypercenter	C₉	C₁₉⋊#3866
commutator, hypocenter	C₁₉×C₃₇	C₄×C₉
Frattini	C₃	C₃×C₁₉⋊#3866
Fitting	C₉×C₁₉×C₃₇	C₄
socle	C₃×C₁₉×C₃₇	C₃×C₄
LCS	G ▷ C₁₉×C₃₇
UCS	C₁ ◁ C₉

36 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1737 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25308, 51);