Finite Group Databasebeta

C2×C6971 #28358338

order13942
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 6970
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC13942
abelianC2×C6971

Subgroups

subgroupG/H
centerGC1
commutator, FrattiniC1G
LCSG ▷ C1
UCSC1 ◁ G

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

13942 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup ofDic6971, C2×D6971
socle ofDic6971, C4×C6971, C2×D6971
maximal subgroup ofDic6971, C4×C6971, C2×D6971, …
maximal normal subgroup ofDic6971, C4×C6971, C2×D6971, …
maximal quotient ofC4×C6971, C22×C6971

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13942, 2);