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C₉×D₆₁₃ #26010656

order	11034
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₁

Aliases

C₉×D₆₁₃

Splittings

Fitting, Hall	C₉×C₆₁₃ ⋊ C₂
derived, Sylow	C₆₁₃ ⋊ C₂×C₉

Subgroups

	subgroup	G/H
center, hypercenter	C₉	D₆₁₃
commutator, hypocenter	C₆₁₃	C₂×C₉
Frattini	C₃	C₃×D₆₁₃
Fitting	C₉×C₆₁₃	C₂
socle, cosocle	C₃×C₆₁₃	C₂×C₃
prime radical	C₃×D₆₁₃	C₃
LCS	G ▷ C₆₁₃
UCS	C₁ ◁ C₉

12 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2772 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	C₉×#14578580, C₉⋊#14578580, D₉×D₆₁₃, …
maximal normal subgroup of	C₉×#14578580, C₉⋊#14578580, D₉×D₆₁₃, …
maximal quotient of	C₉×Dic₆₁₃, C₂×C₉×D₆₁₃

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11034, 5);