Finite Group Databasebeta

← Prev (#38739209) Next (#38739211) →

#2276×C₁₉₇ #38739210

order	25216
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄²×C₁₉₇ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

#2276×C₁₉₇

Subgroups

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₉₇	C₂⁴
commutator	C₂	C₂²×C₄²×C₁₉₇
Frattini, cosocle	C₂³	C₂⁴×C₁₉₇
LCS	G ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉₇ ◁ G

628 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degree

μ_t(G) = 25216

Conjugacy classes & character table

13396 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25216, 1008);