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#95×D₁₉₃ #27135102

order	12352
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂⁵

Aliases

#95×D₁₉₃

Splittings

Fitting	#95×C₁₉₃ ⋊ C₂
Sylow	C₁₉₃ ⋊ C₂×#95

Subgroups

	subgroup	G/H
center, Frattini	C₂³	C₂²×D₁₉₃
commutator	C₂×C₁₉₃	C₂×C₄²
Fitting	#95×C₁₉₃	C₂
socle, cosocle	C₂³×C₁₉₃	C₂³
prime radical	C₂³×D₁₉₃	C₂²
hypercenter	#95	D₁₉₃
hypocenter	C₁₉₃	C₂×#95
LCS	G ▷ C₂×C₁₉₃ ▷ C₁₉₃
UCS	C₁ ◁ C₂³ ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1960 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 392);