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C₂×C₆₉₄₉ #28357963

order	13898
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) order 6948
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₁₃₈₉₈
abelian	C₂×C₆₉₄₉

Subgroups

	subgroup	G/H
center	G	C₁
commutator, Frattini	C₁	G
LCS	G ▷ C₁
UCS	C₁ ◁ G

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

13898 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of	Dic₆₉₄₉, C₂×D₆₉₄₉
socle of	Dic₆₉₄₉, C₄×C₆₉₄₉, C₂×D₆₉₄₉
maximal subgroup of	Dic₆₉₄₉, C₄×C₆₉₄₉, C₂×D₆₉₄₉, …
maximal normal subgroup of	Dic₆₉₄₉, C₄×C₆₉₄₉, C₂×D₆₉₄₉, …
maximal quotient of	C₄×C₆₉₄₉, C₂²×C₆₉₄₉

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13898, 2);