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C₂×C₉×D₁₉₃ #20294276

order	6948
isoclinism	isoclinic class of D₁₉₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₉×D₁₉₃

Splittings

Fitting	C₂×C₉×C₁₉₃ ⋊ C₂
derived, Sylow	C₁₉₃ ⋊ C₂²×C₉
Hall	C₉×C₁₉₃ ⋊ C₂²

Subgroups

	subgroup	G/H
center, hypercenter	C₂×C₉	D₁₉₃
commutator, hypocenter	C₁₉₃	C₂²×C₉
Frattini	C₃	C₂×C₃×D₁₉₃
Fitting	C₂×C₉×C₁₉₃	C₂
socle	C₂×C₃×C₁₉₃	C₂×C₃
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₂×C₉

30 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1764 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of	C₉×D₅×D₁₉₃, C₂×C₉×D₉₆₅, C₂×C₅×C₉×D₁₉₃
maximal normal subgroup of	C₂×C₅×C₉×D₁₉₃
maximal quotient of	C₉×D₅×D₁₉₃, C₂×C₉×D₉₆₅, C₂×C₅×C₉×D₁₉₃

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6948, 16);