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C₃²×D₁₃×D₁₉ #22580348

order	8892
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃

Aliases

C₃²×D₁₃×D₁₉

Splittings

Fitting, socle, Hall	C₃²×C₁₃×C₁₉ ⋊ C₂²
derived, Hall	C₁₃×C₁₉ ⋊ C₂²×C₃²
Hall	C₃²×C₁₉ ⋊ C₂×D₁₃
Hall	C₃²×C₁₃ ⋊ C₂×D₁₉
Sylow	C₁₉ ⋊ C₂×C₃²×D₁₃
Sylow	C₁₃ ⋊ C₂×C₃²×D₁₉

Subgroups

	subgroup	G/H
center, hypercenter	C₃²	D₁₃×D₁₉
commutator, hypocenter	C₁₃×C₁₉	C₂²×C₃²
Frattini	C₁	G
Fitting, socle	C₃²×C₁₃×C₁₉	C₂²
LCS	G ▷ C₁₃×C₁₉
UCS	C₁ ◁ C₃²

120 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

792 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8892, 251);