Finite Group Databasebeta

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C₇²×C₉×D₁₃ #26039495

order	11466
isoclinism	isoclinic class of D₁₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₇²×C₉ · Schur multiplier (H₂) = C₇

Aliases

C₇²×C₉×D₁₃

Splittings

Fitting, Hall	C₇²×C₉×C₁₃ ⋊ C₂
derived, Sylow	C₁₃ ⋊ C₂×C₇²×C₉
Hall	C₇²×C₁₃ ⋊ C₂×C₉
Hall	C₉×C₁₃ ⋊ C₂×C₇²

Subgroups

120 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3528 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	C₇²×C₉×#261, C₇×C₉×C₇⋊#261, C₇×C₉×D₇×D₁₃, …
maximal normal subgroup of	C₇²×C₉×#261, C₇×C₉×C₇⋊#261, C₇×C₉×D₇×D₁₃, …
maximal quotient of	C₇²×C₉×Dic₁₃, C₂×C₇²×C₉×D₁₃

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11466, 138);